Look at the clock. The time is 3.25. <br> We can also say that it is <input min="0" type="number" id="imp3pg188q1a_1" class="lineinput" placeholder="?"> minutes past 3.


Read the clock and fill in the missing time and numbers.
 The time is <input min="0" type="number" id ="imp3pg188q1b_1" class="lineinput" placeholder="?" step="0.01"/>.
 We can also say that it is <input min="0" type="number" id ="imp3pg188q1b_2" class="lineinput" placeholder="?" /> minutes past <input min="0" type="number" id ="imp3pg188q1b_3" class="lineinput" placeholder="?" />.


Read the clock and fill in the missing time and numbers.
 The time is <input min="0" type="number" id ="imp3pg188q1c_1" class="lineinput" placeholder="?" step="0.01" />.
 We can also say that it is <input min="0" type="number" id ="imp3pg188q1c_2" class="lineinput" placeholder="?" /> minutes past<input min="0" type="number" id ="imp3pg188q1c_3" class="lineinput" placeholder="?" />.


Read the clock and fill in the missing time and numbers.
 The time is 1.40.
 We can also say that it is <input min="0" type="number" id ="imp3pg189q2a_1" class="lineinput" placeholder="?" /> minutes to 2.


Read the clock and fill in the missing time and numbers.
 The time is <input min="0" type="number" id ="imp3pg189q2b_1" class="lineinput" placeholder="?" step="0.01" />
 We can also say that it is <input min="0" type="number" id ="imp3pg189q2b_2" class="lineinput" placeholder="?" /> minutes to 4.


Read the clock and fill in the missing time and numbers.
 The time is <input min="0" type="number" id ="imp3pg189q2c_1" class="lineinput" placeholder="?" step="0.01" />
 We can also say that it is <input min="0" type="number" id ="imp3pg189q2c_2" class="lineinput" placeholder="?" /> minutes to 7.


Fill in the blanks with ‘past’ or ‘to’. <br> 1.09 is 9 minutes _____ 1.


Fill in the blanks with ‘past’ or ‘to’. <br> 3.40 is 20 minutes _____ 4.


Fill in the missing time. <br> <input min="0" type="number" id ="imp3pg191q7a_1" class="lineinput" placeholder="?" /> is 24 minutes past 12.


Fill in the missing time. <br> <input min="0" type="number" id ="imp3pg191q7b_1" class="lineinput" placeholder="?" /> is 15 minutes to 10.


Fill in the missing time. <br> <input min="0" type="number" id ="imp3pg191q7c_1" class="lineinput" placeholder="?" /> is 6 minutes to 12.


The figure below is made up of <input min="0" type="number" id ="imp3pg230q3_1" class="lineinput" placeholder="?" /> 1-cm squares. <hr> The area of the 4-cm square is <input min="0" type="number" id ="imp3pg230q3_2" class="lineinput" placeholder="?" /> $$ cm^2$$ .


An apple weighs half that of a mango. The 2 fruits weigh a total of 870g. <hr> The mango weighs <input min="0" type="number" id ="imp4pg085q3_1" class="lineinput" placeholder="?" /> g.


May is $$\frac{7}{9}$$ as tall as her father. Her father stands at 171 cm. <hr> May's height is <input min="0" type="number" id ="imp4pg086q5_1" class="lineinput" placeholder="?" />cm.


Ed is $$\frac{2}{11}$$ as old as his grand-dad. Ed is 12 years old. <hr> His grand-dad is <input min="0" type="number" id ="imp4pg086q6_1" class="lineinput" placeholder="?" /> years old.


This year, Heidi is $$\frac{1}{5}$$ as old as her mother. Her mother is 45 years old. <br> Last year, Hannah was <input min="0" type="number" id ="imp4pg088q13_1" class="lineinput" placeholder="?" /> years old.


Wendy is $$\frac{2}{3}$$ as old as her brother. Wendy is 6 years younger than her brother. <hr>Next year, Wendy will be <input min="0" type="number" id ="imp4pg089q14_1" class="lineinput" placeholder="?" /> years old.


Paul is 8 this year. He is $$\frac{1}{7}$$ as old as his grandfather. <br>When Paul turns 12, his grandfather will be <input min="0" type="number" id ="imp4pg089q15_1" class="lineinput" placeholder="?" /> years old.


Rose is 7 and $$\frac{1}{5}$$ as old as her father. Her sister is twice her age.<br> The difference between her father and sister's age is <input min="0" type="number" id ="imp4pg092q12_1" class="lineinput" placeholder="?" /> years.


Josh is $$\frac{8}{9}$$ as heavy as Alfred. Rob is 3 times as heavy as Alfred. Josh weighs 24 kg. <hr> Rob weighs <input min="0" type="number" id ="imp4pg092q13_1" class="lineinput" placeholder="?" />kg.


A decimal has 3 decimal places and is between 3 and 4. The digits in the tenths, hundredths and thousandths places are factors of 3. The digit in the hundredths place is greater than the digit in the thousandths place. The digit in the tenths place is greater than the digit in the hundredths place. <hr> The decimal is <input min="0" type="number" id="imp4pg170q9_1" class="lineinput" placeholder="?">.


Round off 7489 to the nearest thousand. Then estimate the value of  7489 x 5 .
≈ <input min="0" type="number" id="imp5pg003q10b_1" class="lineinput" placeholder="?"> x 5
= <input min="0" type="number" id="imp5pg003q10b_2" class="lineinput" placeholder="?">


Round off 4518 to the nearest thousand. Then estimate the value below.
 4518 x 9
≈ <input min="0" type="number" id="imp5pg003q10c_1" class="lineinput" placeholder="?"> x 9
= <input min="0" type="number" id="imp5pg003q10c_2" class="lineinput" placeholder="?">


Round off 5699 to the nearest thousand. Then estimate the value below.
 5699 x 8
≈ <input min="0" type="number" id="imp5pg003q10d_1" class="lineinput" placeholder="?"> x 8
=<input min="0" type="number" id="imp5pg003q10d_2" class="lineinput" placeholder="?">


Round off 4461 to the nearest hundred. Then estimate the value below.
 4461 ÷ 5
≈ <input min="0" type="number" id="imp5pg003q11a_1" class="lineinput" placeholder="?"> ÷ <input min="0" type="number" id="imp5pg003q11a_2" class="lineinput" placeholder="?">
= <input min="0" type="number" class="lineinput" placeholder="?">


Round off 2351 to the nearest hundred. Then estimate the value below.
 2351 ÷ 3
≈ <input min="0" type="number" id="imp5pg003q11b_1" class="lineinput" placeholder="?"> ÷ <input min="0" type="number" id="imp5pg003q11b_2" class="lineinput" placeholder="?">
= <input min="0" type="number" id="imp5pg003q11b_3" class="lineinput" placeholder="?">


Round off 4948 to the nearest hundred. Then estimate the value below.
 4948 ÷ 7
≈ <input min="0" type="number" id="imp5pg003q11c_1" class="lineinput" placeholder="?"> ÷ <input min="0" type="number" id="imp5pg003q11c_2" class="lineinput" placeholder="?">
= <input min="0" type="number" id="imp5pg003q11c_3" class="lineinput" placeholder="?">


Round off 3049 to the nearest hundred. Then estimate the value below.
 3049 ÷ 6
≈ <input min="0" type="number" id="imp5pg003q11d_1" class="lineinput" placeholder="?"> ÷ <input min="0" type="number" id="imp5pg003q11d_2" class="lineinput" placeholder="?">
= <input min="0" type="number" id="imp5pg003q11d_3" class="lineinput" placeholder="?">


Round off the numbers to the nearest thousand. Then estimate its value.
 3280 + 1754 ≈
 <input min="0" type="number" id ="imp5pg003q9a_1" class="lineinput" placeholder="?" /> + 2000
= <input min="0" type="number" id ="imp5pg003q9a_2" class="lineinput" placeholder="?" />


Round off the numbers to the nearest thousand. Then estimate its value.
 8951 - 7108
≈ <input min="0" type="number" id ="imp5pg003q9b_1" class="lineinput" placeholder="?" /> - <input min="0" type="number" id ="imp5pg003q9b_2" class="lineinput" placeholder="?" />
 = <input min="0" type="number" id ="imp5pg003q9b_3" class="lineinput" placeholder="?" />


Round off the numbers to the nearest thousand. Then estimate its value. <br> 9300 - 5260 - 1508 ≈ <input min="0" type="number" id ="imp5pg003q9d_1" class="lineinput" placeholder="?" /> - <input min="0" type="number" id ="imp5pg003q9d_2" class="lineinput" placeholder="?" /> - <input min="0" type="number" id ="imp5pg003q9d_3" class="lineinput" placeholder="?" /> = <input min="0" type="number" id ="imp5pg003q9d_4" class="lineinput" placeholder="?" />


Express the answer in its simplest form where necessary. <hr> $$\frac{2}{3}-\frac{5}{12}$$ = _______


Express the answer in its simplest form where necessary. <hr> $$\frac{3}{7}-\frac{1}{6}$$ = ________


Express the answer in its simplest form where necessary. <hr> $$\frac{9}{10}-\frac{3}{4}$$ = _______


Express the answer in its simplest form where necessary. <hr> $$\frac{7}{12}-\frac{3}{8}$$ = _______


Find the product. Give your answer in its simplest form where necessary. <br>$$\frac{1}{2}$$ of $$\frac{2}{3}$$ = ______


Mrs Kway-kway had $$\dfrac{1}{2}$$ kg of sugar. She used $$\dfrac{3}{4}$$ of it to bake a cake.<hr> How much sugar did she use?


The total mass of 3 packets of sugar is $$\frac{3}{8}$$ kg. <hr>The average mass of a packet of sugar = <input min="0" type="number" id ="imp5pg152q4_1" class="lineinput" placeholder="?" /> kg, correct to 3 decimal places.


A rectangular container 100 cm long, 45 cm wide and 60 cm high is $$\frac{3}{10}$$ filled with used cooking oil from a restaurant. How much more used cooking oil can be poured into the container before it becomes full? Give your answer in litres. (1 l= 1000 cm³) <br> <input min="0" type="number" id ="imp5pg232q9b_1" class="lineinput" placeholder="?" /> $$l$$


Work out the following when z = 4. <br> $$\frac{z}{4}$$ = <input min="0" type="number" class="lineinput" placeholder="?" />


Work out the following when z = 32. <br> $$\frac{z}{4}$$ = <input min="0" type="number" class="lineinput" placeholder="?" />


If Worker A was to paint a house by himself, he would take 6 hours. If Worker B was to paint a house by himself, he would take 10 hours.
 How long did both of them take to paint the house together? Express your answer in mixed fraction.
 A $$\frac{B}{C}$$
A: <input min="0" type="number" class="lineinput" placeholder="?" /> B:<input min="0" type="number" class="lineinput" placeholder="?" />C: <input min="0" type="number" class="lineinput" placeholder="?" />


Angie bought some apples and Belle bought some oranges. Angie gave half of her apples to Belle and in return, Belle gave half of her oranges to Angie. Both girls ended up with 16 fruits each, and  had $$\frac{1}{3}$$ as many apples as oranges.
 Find the number of apples Angie bought and the number of oranges Belle bought.
Angie bought <input min="0" type="number" id="imp6pg071q5_1" class="lineinput" placeholder="?"> apples and Belle bought <input min="0" type="number" id="imp6pg071q5_2" class="lineinput" placeholder="?"> oranges.


Three pupils, Amy, Belinda and Cindy shared some chocolates in the ratio 4:1:5.
 Express the number of chocolates that Amy had as a fraction, $$\frac{A}{B}$$, of the total number of chocolates that Belinda and Cindy had. Reduce your answer to the lowest term.

A: <input min="0" type="number" class="lineinput" placeholder="?"> B:<input min="0" type="number" class="lineinput" placeholder="?">


An old man was jogging around a 400 $$m$$ running track.
During the firstvtwo rounds, he jogged slowly and completed it in 13$$\frac{1}{2}$$ minutes.
For the next two rounds, he jogged faster and completed them in 6$$\frac{1}{2}$$ minutes.
 What was his average speed forth four rounds that he ran in $$m/min$$?
 <input min="0" type="number" id ="imp6pg158q4_1" class="lineinput" placeholder="?" /> $$m/min$$


The figure shows a semicircle.
 Find its perimeter. (Take π = $$\frac{22}{7}$$)
 <input min="0" type="number" id ="imp6pg174q3_1" class="lineinput" placeholder="?" /> $$cm$$


The figure shows a semicircle.
 Find its perimeter. (Take π = $$\frac{22}{7}$$)
 <input min="0" type="number" id ="imp6pg174q4_1" class="lineinput" placeholder="?" /> $$cm$$


The figure shows a quadrant.
 Find its circumference. (Take π = $$\frac{22}{7}$$)
 <input min="0" type="number" id ="imp6pg175q6_1" class="lineinput" placeholder="?" /> $$cm$$


The pie chart below shows the different groups of families living in an apartment building. There are 300 families in the apartment.<hr> How many families have less than 2 children?


The pie chart below shows the different groups of families living in an apartment building. There are 300 families in the apartment.<hr> Find the ratio of families with no children to families with more than 2 children.


The pie chart below shows the percentage of men, women, boys and girls who took part in a family carnival. There were 120 girls. <hr> What percentage of the participants were girls?


The pie chart below shows the percentage of men, women, boys and girls who took part in a family carnival. There were 120 girls. <hr> What was the ratio of the number of men to the number of women?


The pie chart below shows the percentage of men, women, boys and girls who took part in a family carnival. There were 120 girls. <hr> How many men took part in the family carnival?


The pie chart below shows the percentage of men, women, boys and girls who took part in a family carnival. There were 120 girls. <hr>How many more adults than children took part in the family carnival?


The pie chart shows the number of coins in Henry's piggy bank.
 What percentage of the coins are $1 coins? Give your answer correct to 1 decimal place.
 <input min="0" type="number" id ="imp6pg183q2b_1" class="lineinput" placeholder="?" /> %


The pie chart shows the number of coins in Henry's piggy bank.
 What is the value of all the ten - cent, twenty - cent and fifty - cent coins?
 $ <input min="0" type="number" id ="imp6pg184q3_1" class="lineinput" placeholder="?" />


The pie chart shows the number of coins in Henry's piggy bank.
 Using all the coins in the piggy bank, Henry wentto a shop to exchange for $2 notes. What is the maximum number of $2 notes that he can get?
 <input min="0" type="number" id ="imp6pg184q4_1" class="lineinput" placeholder="?" />


The pie chart shows the different colours of goodie bags given out to a group of P5 pupils during a carnival.
 What is the ratio of the number of green goodie bags to the number of yellow goodie bags to the number of orange goodie bags?
 <input min="0" type="number" id ="imp6pg185q6_1" class="lineinput" placeholder="?" /> : <input min="0" type="number" id ="imp6pg185q6_2" class="lineinput" placeholder="?" /> : <input min="0" type="number" id ="imp6pg185q6_3" class="lineinput" placeholder="?" />


The pie chart shows the different colours of goodie bags given out to a group of P5 pupils during a carnival.
 If there were 44 more purple than blue goodie bags, how many goodie bags were there altogether?
 <input min="0" type="number" id ="imp6pg185q7_1" class="lineinput" placeholder="?" />


The figure shows a circle inside a square of length 10 $$cm$$.
 Find the area of the shaded part (Take π = 3.14)
 <input min="0" type="number" id ="imp6pg193q5_1" class="lineinput" placeholder="?" /> $$cm^2$$


Find the area of the figure. <br> <input min="0" type="number" id ="imp6pg193q6_1" class="lineinput" placeholder="?" /> $$cm^2$$


The figure is made up of a semicircle, a quadrant and a triangle. The radius of the quadrant and the semicircle is 8 $$cm$$ and 10 $$cm$$ respectively.
 Find the area of the figure. (Take π = 3.14)
 <input min="0" type="number" id ="imp6pg195q3_1" class="lineinput" placeholder="?" /> $$cm^2$$


The figure shows a triangle being cut out of a quadrangular cardboard of radius 20 cm.
 Find the area of the remaining cardboard. (Take π = 3.14)
 <input min="0" type="number" id ="imp6pg197q10_1" class="lineinput" placeholder="?" />$$cm^2$$


The figure is made up of a right - angled triangle and a semicircle. The perimeter of the triangle is 24 $$cm$$.
 Find the perimeter of the figure. (Take π = 3.14)
 <input min="0" type="number" id ="imp6pg203q2_1" class="lineinput" placeholder="?" /> $$cm$$


A piece of rectangular paper is folded along a line to form the figure below. The area of the shaded part is 40 $$cm^2$$.
 Find the perimeter of the rectangular paper before it is folded.
 <input min="0" type="number" id ="imp6pg203q3_1" class="lineinput" placeholder="?" /> $$cm$$


The figure is made up of two semicircles and a square of length 28 $$cm$$. The ratio of the radius of semicircle P to the radius of semicircle Q is 2 : 5.
 Find the perimeter of the figure. (Take π = 3.14)
 <input min="0" type="number" id ="imp6pg205q7_1" class="lineinput" placeholder="?" /> $$cm$$


ABCD is a square divided into 3 parts, X , Y and Z. The ratio of the area of part X to the area of part Y is 1 :4. The area of part X is 288$$cm^2$$.
 Find the length of square ABCD.
 <input min="0" type="number" id="imp6pg205q8_1" class="lineinput" placeholder="?"> $$cm$$


The figure is made up of 16 identical rectangles and 3 identical squares.
 What is the ratio of the length of each rectangle to the length of each square?
 <input min="0" type="number" id ="imp6pg207q2a_1" class="lineinput" placeholder="?" /> : <input min="0" type="number" id ="imp6pg207q2a_2" class="lineinput" placeholder="?" />


The figure is made up of 16 identical rectangles and 3 identical squares.
 What is the ratio of the breadth of each rectangle to the length of each square?
 <input min="0" type="number" id ="imp6pg207q2b_1" class="lineinput" placeholder="?" /> : <input min="0" type="number" id ="imp6pg207q2b_2" class="lineinput" placeholder="?" />


The figure below is made up of 8 identical rectangles and a shaded rectangle. The breadth of each of the 8 identical rectangles is 5 $$cm$$. The shaded rectangle has a perimeter of 22 $$cm$$. Find the area of the whole figure. <br> <input min="0" type="number" id ="imp6pg207q3_1" class="lineinput" placeholder="?" /> $$cm^2$$


The figure shows three squares.
 What is the area of the shaded part?
 <input min="0" type="number" id ="imp6pg207q4_1" class="lineinput" placeholder="?" /> $$cm^2$$


The figure shows rectangle ABCD inside a circle of radius 13 $$cm$$. The perimeter of rectangle ABCD is 58 $$cm$$. (Take π = 3.14)
 Find the sum of length of AB and AD.
 <input min="0" type="number" id="imp6pg209q8_1" class="lineinput" placeholder="?"> $$cm$$


The figure shows rectangle ABCD inside a circle of radius 13 $$cm$$. The perimeter of rectangle ABCD is 58 $$cm$$. (Take π = 3.14)
 Find the perimeter of the shaded part.
 <input min="0" type="number" id ="imp6pg209q9_1" class="lineinput" placeholder="?" /> $$cm$$


6 - 1 = ?
Use the number bond to help you.


Ali has 10 marbles. John has 13 marbles. Jack has 19 marbles.  Who has the greatest number of marbles?<br>


Mack has 15 guinea pigs.  Mary has 20 turtles.
Lisa has 11 fishes.
Liam has 12 cats.
Who has the smallest number of pets?


I have the same number of green apples and red apples.Altogether, I have 8 apples.
How many red apples do I have?


Five birds are sitting on the roof. 3 birds are flying.How many birds are there altogether?<br>


4 boys are playing soccer. 5 more boys join in to play.  How many boys are there altogether?<br>


Jay had 3 guinea pigs.  Peter had 5 guinea pigs.Jay's grandfather buys another 2 guinea pigs for Jay.
Who has more guinea pig now?


6 is made up of 2 equal numbers. What is that number?<br>


Wow look at the giraffes! Count how many are there?


How many rhinoceros are in the picture below?


Count the number of children playing skipping rope?


John is having cookies for breakfast.Count how cookies there are.


Jane keeps rabbits as shown below.

Mary has more rabbits than Jane. How many does Mary have?


Look at the picture.Which answer is NOT correct?


Little John has 5 filghting fish.  Liam has 7.
Jason has 5.
Who else has as many fighting fish as Little John?


Little John has 5 filghting fish.  Liam has 7.
How many fewer fish does Little John have?


There are two missing numbers.Both numbers are the same.
Do you know what that number is?


5 + 4 = 9
Find another pair of numbers that add to 9.


All the answers below are the same except for one.
Can you tell which is not the same?


Which answer is smaller than 6 but larger than 3?


8 - ? = 6Find the missing number.
Use number bond.


Which answer is larger than 2 but smaller than 5?


Solve by counting back or using number bond.9 - 3 = ?


2 + 6 is the same as two fewer than 9.True?


Find the answer that is smaller than 6 but larger than 3.


Find the answer that is smaller than 8 but larger than 6.


Given: The pie chart shows different groups of families in an apartment building. There are 300 families total. How many families have less than 2 children?

Step 1: Identify what "less than 2 children" means

Less than 2 children = Families with no children + Families with 1 child

Step 2: Find the percentages from the pie chart

Families with 1 child = 45%

Families with 2 children = 40%

Families more than 2 children = 3%

Step 3: Calculate the remaining percentage

Remaining percentage = 100% - 45% - 40% - 3% = 12%

12% of families have no children

Step 4: Calculate families with less than 2 children

Percentage = 12% + 45% = 57%

Number of families = 57% × 300 = 171

Answer: 171 families have less than 2 children.


What is the position of the last person in the queue?


What is the position of the man dressed in a blue shirt ?


Counting from the left, which animal is in the 5th position?


Counting from the left, what is second ?


Counting from the left, what is the position of the dog?


Counting from the left, what is before yellow giraffe?


Counting from the right, what comes after the blue giraffe?


The first person left the queue.
Who is first in the queue now ?


What is the position of the man in the checked green shirt?


2 more persons joined the queue. What is the position is the last person now?


What is the position of the man in the dark brown suit ?


What is the position of the yellow bird ?


A lady is looking at her watch. What's her position ?


What is between the yellow bird and the blue bird ?


Who is between boy in the blue shirt and the boy is the green shirt?


Who is between the 2nd and 4th position ?


Counting from left or right, my position is the same.Which bird is that ?


What is the position before the last person in the queue ?


Asher is fourth in the queue to go up the bus.  Jack is 1st.  Jill is 2nd and Mary is 3rd.Who is before Asher?


Asher is the last person in the queue below.After 3 minutes, all 3 students before Asher got up the bus.
What is Asher's position now ?


5 birds were resting as shown in the picture below.The red bird then flew away.
Counting from the left, what is the position of the last bird then?


Who is after the girl in the green dress ?


Look at the picture. Which answer is NOT correct ?


What is the position of the tallest person ?


Tom is before the boy in the blue shirt. What is Tom's position ?


Sean is betwen the tallest boy and the boy in blue.Sean's position is ?


Determine the total number of balloons. How many balloons are there in total?


Count and identify the number of balloons present. How many balloons can you see?


Calculate the total balloons. What is the total count of balloons?


Calculate the number of letters in the term 'sunshine'. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A rectangular tank 60 cm long and 40 cm wide was filled with water to 80% of its height. When 18 litres of water were removed, it became \(\dfrac{1}{2}\) full. Find the height of the tank.

Base = 60 x 40 = 2400 cm². Water removed corresponds to (80% - 50%) = 30% of height. 0.3 x 2400 x h = 18000 cm³, so 720h = 18000, h = 25 cm.


A rectangular box is 120 cm long and 30 cm wide. It was filled with toys to 75% of its height. After taking out 24 liters of toys, it is now $$\dfrac{1}{4}$$ full. What is the height of the box?


A water tank is 60 cm long and 40 cm wide. It was filled to 85% of its height. After pouring out 20 liters of water, it is now $$\dfrac{1}{3}$$ full. What is the height of the water tank?


A rectangular tank was filled with oil to a height of 8 cm. Its rectangular base measured 30 cm by 25 cm. When 9 litres of oil were poured into the tank, the oil level rose to $$\dfrac{4}{5}$$ of the height of the tank. Find the height of the tank.


A fish tank has a height of 12 cm and a base that is 20 cm by 15 cm. After adding 6 litres of water, the water level rose to $$\dfrac{3}{4}$$ of the tank's height. What is the height of the tank?


A box has a height of 10 cm and a base measuring 25 cm by 20 cm. When 5 litres of sand are added, the sand fills $$\dfrac{2}{5}$$ of the height. What is the height of the box?


A rectangular tank has a base measuring 30 cm by 20 cm. It was filled with oil to a height of 6 cm. When 6 litres of oil were poured in, the oil level rose to \(\dfrac{4}{5}\) of the tank's height. Find the height of the tank.


A box measures 40 cm in length and 15 cm in width. It is filled with sand to a height of 5 cm. When the sand is moved to a new box that is 10 cm tall, it fills the new box to $$\dfrac{1}{3}$$ of its height. What is the base area of the new box?


A fish tank is 25 cm long and 20 cm wide. It holds water up to a height of 8 cm. When the water is poured into another tank that is 16 cm tall, it fills it to half its height. What is the base area of the second tank?


A storage box is 50 cm long and 30 cm wide. It is filled with toys to a height of 10 cm. When the toys are moved to a new box that is 20 cm tall, it fills to a quarter of its height. What is the base area of the new box?


A rectangular aquarium is 35 cm long and 25 cm wide. It has water up to a height of 7 cm. When the water is transferred to another aquarium that is 14 cm tall, it fills it to a third of its height. What is the base area of the second aquarium?


A container is 20 cm long and 10 cm wide. It is filled with liquid to a height of 4 cm. When the liquid is poured into a new container that is 8 cm tall, it fills to half its height. What is the base area of the new container?


A box measures 50 cm long, 20 cm wide, and 25 cm high. If 15 liters of sand are added to the box, how high is the sand in the box?


A fish tank is 30 cm long, 25 cm wide, and 40 cm high. If 20 liters of water are filled in the tank, what is the height of the water?


A storage box is 60 cm long, 30 cm wide, and 20 cm high. If it is filled with 18 liters of toys, what is the height of the toys in the box?


A rectangular aquarium is 80 cm long, 40 cm wide, and 50 cm high. If 30 liters of water are added, what will be the height of the water in the aquarium?


A rectangular pool is 70 cm long, 50 cm wide, and 40 cm high. If 35 liters of water are in the pool, what is the height of the water?


A large cube has a volume of 512 cm³. It is melted and recast into 8 identical smaller cubes. Find the side length of each smaller cube.


A cube-shaped tank of side 18 cm is filled with water. The water is then poured into another cube-shaped tank of side 9 cm. How many of the smaller tanks can be filled?


A cube of side 18 cm is recast into cubes of side 3 cm. How many small cubes are formed?


A cuboid (40 x 20 x 10) cm is poured equally into 8 identical cubes. Find the side of each cube.


A cuboid (25 x 14 x 10) cm of water is poured into another cuboid with base (35 x 10) cm. Find the water height.


A cuboid (27 x 9 x 3) cm is recast into a single cube. Find the cube’s side.


A cube of side 20 cm is filled only to a height of 12 cm. The water is poured into a cuboid with base (16 x 10) cm. Find the new height.


Water from a completely filled cuboid 30 x 14 x 12 cm is poured equally into 9 identical cuboids. Each small cuboid has base (10 × 8) cm. Find the common height.


A cuboid has length 12cm, width 8cm, height 36cm. Its volume is kept the same, but the length is doubled and the width is tripled. Find the new height.


A solid cuboid measures 30×20×12cm. A rectangular void of 10×5×12cm is removed from the interior. Find the remaining volume.


All the water from a cuboid with base area 196 $cm^2$ and height 14 is poured into a cube, filling it to the brim. Find the cube’s side.


A cuboid has L=20cm, W=15cm, H=12cm. The height is increased by 25% and the length is decreased by 20%, width unchanged. Find the new volume.


A cuboid 24×10×9 cm and a cuboid 18×12×5 cm are each filled to the brim. All their water is poured into a single empty tank that will be filled to a height of 12cm. The target tank has length 30 cm and unknown width w cm. Find
𝑤.


A box is 3 m long, 2 m wide, and 1.5 m high. If you fill it with 30 buckets, each holding 8 litres, how many centimeters will the water level rise?


A storage container is 4 m long, 2 m wide, and 1 m high. You add 25 buckets, each containing 5 litres. How many centimeters does the water level rise?


A fish tank is 1.5 m long, 1 m wide, and 0.8 m high. If you pour in 20 buckets, each with 6 litres, how many centimeters does the water level rise?


Tank A is 1.5 m×1.0 m×0.8 m with water to a depth of 0.60 m. All its water is poured into Tank B whose base is 1.2 m×0.75 m. Tank B initially has 0.10 m of water. What will be the final water depth in Tank B (assume it is tall enough)?


Box A is 2.0 m × 1.5 m × 0.5 m and has sand up to a height of 0.4 m. All the sand is moved to Box B, which has a base of 1.5 m × 1.0 m. Box B starts with 0.2 m of sand. What will be the total height of sand in Box B after transferring the sand?


Container A measures 1.2 m × 1.0 m × 0.9 m and is filled with water to a height of 0.5 m. The water is then poured into Container B, which has a base of 1.0 m × 0.8 m and starts with 0.1 m of water. What will be the final height of water in Container B?


Box A is 1.5 m × 1.2 m × 0.7 m and contains liquid up to a depth of 0.4 m. This liquid is transferred to Box B, which has a base of 1.0 m × 0.9 m and starts with 0.3 m of liquid. What will be the new depth of liquid in Box B?


A cube has a surface area of 400 cm². A square hole measuring 4 cm x 4 cm is cut through the middle, from one side to the other. What is the volume left in the cube?


A cube has a surface area of 324 cm². A rectangular tunnel of 6 cm x 2 cm goes straight through the center from one face to the opposite face. What is the remaining volume of the cube?


A cube has a surface area of 216 cm². A circular hole with a diameter of 6 cm is drilled through the center from one face to the opposite face. What is the volume left in the cube?


A storage container has a base area of 5 m² and is 50% filled with water. After pouring in 2 m³ of water, it is now 80% full. What is the height of the container in meters?


A fish tank has a base area of 6 m² and is filled to 20% of its height. After adding 1.2 m³ of water, it reaches 50% full. What is the height of the tank in meters?


Solve \(\dfrac{3}{4}\) ÷ \(\dfrac{1}{2}\). Express your answer in the form \(\dfrac{a}{b}\) where a = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and b = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.


Workers in an office vote for a day for a special outing.  How many chose Monday or Friday?


Next year, Sports club membership is expected to decrease by 25% while Science club is expected to increase by 40%. What will be the difference between them?  <input min="0" type="number" class="lineinput" placeholder="?">


On Thursday, the shop had a goal to sell 50 cones. By what percentage did they fall short of their goal?  <input min="0" type="number" class="lineinput" placeholder="?">


The library charges a late fee of $0.50 per book. If 10% of borrowed books in May were returned late, how much did the library collect in late fees that month?    <input min="0" type="number" class="lineinput" placeholder="?">


The website's target is to have an average of at least 450 visitors per day over the week. Did they meet this target? By how many visitors per day did they exceed or fall short?


The household wants to reduce their total annual consumption by 15% compared to this 8-month period. What should their target total be for the remaining 4 months?  <input min="0" type="number" class="lineinput" placeholder="?">


The market stall owner wants to increase total weekly sales by 20%. If the current total sales across all fruits is calculated, what should the new target total be?    <input min="0" type="number" class="lineinput" placeholder="?">


On Thursday, each fruit's sales dropped by 25% compared to Wednesday's sales. What would be the combined sales of Apples, Oranges, and Bananas on Thursday?    <input min="0" type="number" class="lineinput" placeholder="?">


The graph shows monthly widget production at Apex Factory. Find the percentage increase in production from February to May.    <input min="0" type="number" class="lineinput" placeholder="?">


Production in March was 120% of a planned target. What was the planned target for March, and if April achieved only 95% of its target, what was April's target?   <input min="0" type="number" class="lineinput" placeholder="?">


Calculate the average heart rate increase per kilometre for the first 10 km versus the last 10 km (32-42 km).    <input min="0" type="number" class="lineinput" placeholder="?">


The runner's maximum heart rate capacity is 200 bpm. Heart rate reserve = max capacity - resting rate. What percentage of the heart rate reserve was the runner using at 30 km?   <input min="0" type="number" class="lineinput" placeholder="?">


The user wants at least 20% battery to make an emergency call. At what hour should they stop using the phone and save it for emergencies?   <input min="0" type="number" class="lineinput" placeholder="?">


Calculate the average hourly sales. How many hours had sales below average?   <input min="0" type="number" class="lineinput" placeholder="?">


Calculate the average daily water loss for the first half of the month (days 1-13) and second half (days 16-28). Which period had faster evaporation and by how much per day?    <input min="0" type="number" class="lineinput" placeholder="?">


Calculate the average water level for all readings before the refill (days 1-13) and after the refill (days 16-28). What is the difference between these averages?   <input min="0" type="number" class="lineinput" placeholder="?">


The water level dropped from 180 cm to 148 cm before the refill. What percentage of this total drop was recovered by the refill on day 16?   <input min="0" type="number" class="lineinput" placeholder="?">


Compare the rate of water loss (cm per day) between days 7-10 and days 19-22. Express the faster rate as a percentage of the slower rate.   <input min="0" type="number" class="lineinput" placeholder="?">


The pool owner estimates that 60% of water loss is from evaporation and 40% is from splash-out during swimming. Between days 1 and 13, how many cm were lost to each cause?  <input min="0" type="number" class="lineinput" placeholder="?">


What was the total price increase from Week 1 to Week 8? Express this as both a dollar amount and a percentage increase.  <input min="0" type="number" class="lineinput" placeholder="?">


Calculate the average monthly subscriber count. In which month did the channel first exceed this average?  <input min="0" type="number" class="lineinput" placeholder="?">


The student earns $800 per month from a part-time job. In months where the balance increased, what was the average percentage of income saved? Assume no interest earned.  <input min="0" type="number" class="lineinput" placeholder="?">


Find the ratio of average monthly balance in the first half (Jan-Jun) to the second half (Jul-Dec). Express as a simplified fraction.  <input min="0" type="number" class="lineinput" placeholder="?">


The student's goal was to save $3000 by November. By what percentage did they exceed or fall short of this goal? If they had saved consistently each month from January, what fixed monthly deposit would have been needed?  <input min="0" type="number" class="lineinput" placeholder="?">


Express April's balance (the first dip) as a percentage of December's balance. Then express August's balance (the second dip) as a percentage of the balance just before it (July). Which dip was proportionally larger?  <input min="0" type="number" class="lineinput" placeholder="?">


Calculate the average daily steps for weekdays (Mon-Fri) and weekends (Sat-Sun). How many more steps per day were walked on weekends compared to weekdays?  <input min="0" type="number" class="lineinput" placeholder="?">


Express Friday's step count as a percentage of Saturday's step count. By what percentage did the step count increase from Friday to Saturday?  <input min="0" type="number" class="lineinput" placeholder="?">


Assuming an average stride length of 0.75 metres, calculate the total distance walked during the week in kilometres. On which day was the distance closest to 7 km?  <input min="0" type="number" class="lineinput" placeholder="?">


The ratio of the distance traveled by Car X to Car Y is 5 : 3. The ratio of the time taken by Car X to Car Y is 2 : 3. What is the ratio of the speed of Car X to the speed of Car Y?  <input min="0" type="number" class="lineinput" placeholder="?">


The ratio of Car A's speed to Car B's speed is 5 : 4. Both cars start from the same point and travel in the same direction. After 3 hours, Car A is 45 km ahead of Car B. What is Car A's speed?   <input min="0" type="number" class="lineinput" placeholder="?">


In triangle ABD, BDC is a straight line. Find angle ABD.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?">


Triangle ABC is isosceles with AB = AC. Triangle BCD is isosceles with BD = CD. Find angle BDC.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?">


Triangle ABC is isosceles with AB = AC. Triangle BCD is isosceles with BD = CD. Find angle BDC.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


AD bisects angle BAC. Find angle ACD.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


AB is parallel to CD. Find angle EFG.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


DE is parallel to BC. Find angle ADE.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


AH is perpendicular to BC. Find angle ACH.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


Two triangles meet at vertex C. Find angle CDE.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


Triangle ABC is isosceles (AB = AC). Triangle BCD is isosceles (BD = CD). Find angle DBC.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


ACE is a straight line. Find angle CED.    <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


AM is a median. DE is parallel to BC. Find angle DME.   <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> °


A soccer team has an average of 3 goals per game. They play 2 more games and score 1 goal and 2 goals, bringing their average down to 2 goals per game. How many games did they play originally?


A basket of apples weighs an average of 5 pounds each. Two more apples are added that weigh 3 pounds and 4 pounds, and now the average weight is 4 pounds per apple. How many apples were in the basket originally?


A library has books with an average of 80 pages each. Two new books are added with 50 pages and 40 pages, and the average drops to 75 pages per book. How many books were in the library originally?


Emma collected stickers for 8 days. Her average number of stickers per day was 6. On the last day, she only collected 2 stickers.
How many stickers did she collect in total during the first 7 days?
 Answer : <input type="text" class="fill-blank-input">


A basketball player scored an average of 12 points per game over 5 games. In the first 4 games, she scored an average of 10 points per game.
How many points did she score in the 5th game?
 Answer : <input type="text" class="fill-blank-input">


The average weekly allowance of Sam and Alex is $9.
 Sam gets $6 less allowance than Alex.
 How much allowance does Sam get each week?
 Answer : $ <input type="text" class="fill-blank-input">


The average amount of stickers that Maya and Ben have is 15 stickers.
 Maya has 8 fewer stickers than Ben.
 How many stickers does Maya have?
 Answer : <input type="text" class="fill-blank-input"> stickers


The average number of books read by Emma and Liam last month is 7 books.
 Emma read 2 fewer books than Liam.
 How many books did Emma read?
 Answer : <input type="text" class="fill-blank-input"> books


The average score on a test for Zoe and Ryan is 85 points.
 Zoe scored 10 points less than Ryan.
 What was Zoe's test score?
 Answer : <input type="text" class="fill-blank-input"> points


The average number of marbles that Ava and Noah collected is 12 marbles.
 Ava collected 4 fewer marbles than Noah.
 How many marbles did Ava collect?
 Answer : <input type="text" class="fill-blank-input"> marbles


Class 3A has 60 students with an average test score of 15.2. Class 3B has 90 students with an average of 18.4.
What is the total sum of all 150 students' scores, and what is their combined average?
Total sum : <input type="text" class="fill-blank-input">
Combined average : <input type="text" class="fill-blank-input">


Team Red has 45 players with an average height of 12.8 inches. Team Blue has 75 players with an average of 16.2 inches.
What is the total sum of all 120 players' heights, and what is their combined average?
Total sum : <input type="text" class="fill-blank-input">
Combined average : <input type="text" class="fill-blank-input">


Group X collected 50 stickers with an average value of 8.6 points each. Group Y collected 100 stickers with an average of 11.4 points each.
What is the total sum of all 150 stickers' points, and what is their combined average?
Total sum : <input type="text" class="fill-blank-input">
Combined average : <input type="text" class="fill-blank-input">


Garden A has 40 plants with an average height of 14.7 cm. Garden B has 80 plants with an average height of 21.6 cm.
What is the total sum of all 120 plants' heights, and what is their combined average?
Total sum : <input type="text" class="fill-blank-input">
Combined average : <input type="text" class="fill-blank-input">


A basketball team has an average height of 68 inches. Two new players join with heights of 62 and 64 inches, and the average height drops to 67 inches.
How many players were originally on the team?
Answer : <input type="text" class="fill-blank-input">


A reading club has an average of 25 books read per member. Two new members join who have read 18 and 20 books, and the average drops to 24 books per member.
How many members were originally in the club?
Answer : <input type="text" class="fill-blank-input">


A dance class has an average age of 12 years. Two new students join who are 8 and 10 years old, and the average age drops to 11 years.
How many students were originally in the class?
Answer : <input type="text" class="fill-blank-input">


A garden club has plants with an average height of 30 cm. Two new plants are added with heights of 24 cm and 26 cm, and the average height becomes 29 cm.
How many plants were originally in the garden?
Answer : <input type="text" class="fill-blank-input">


During 5 days, Emma read an average of 8 pages per day.
How many pages did she read in total over the 5 days?
 Answer : <input min="0" type="number" class="lineinput" placeholder="?"> pages


During 5 days at the school cafeteria, the average number of sandwiches sold per day was 24.
How many sandwiches were sold in total over the 5 days?
 Answer : <input min="0" type="number" class="lineinput" placeholder="?">


Emma read books for 8 weeks and read an average of 3 books per week. During the last week, she only read 1 book because she was on vacation. How many books did she read during the first 7 weeks in total?   Answer : <input min="0" type="number" class="lineinput" placeholder="?">


A class of 15 students scored an average of 78 marks on a test. After some new students joined with an average score of 90 marks, the class average increased to 82 marks. How many new students joined the class?   Answer : <input min="0" type="number" class="lineinput" placeholder="?">


The average mass of 12 boxes is 18.5 kg. What must be the mass of a 13th box so that the average mass becomes 20 kg?  Answer : <input min="0" type="number" class="lineinput" placeholder="?"> kg


A swimmer completed 9 laps with an average time of 45 seconds per lap. How many seconds must she complete the 10th lap in to lower her average to 44 seconds per lap?  Answer : <input min="0" type="number" class="lineinput" placeholder="?"> s


The average height of 15 students is 148 cm. After removing the 3 tallest students, the average height became 145 cm. What was the average height of the 3 students who were removed?   Answer : <input min="0" type="number" class="lineinput" placeholder="?"> cm


The average weight of 5 bags of rice is 8.4 kg. One bag is removed and the average weight of the remaining bags becomes 8.8 kg. What was the weight of the bag that was removed?   Answer :    <input min="0" type="number" class="lineinput" placeholder="?">  kg


A group of 8 friends collected stamps with an average of 56 stamps each. After 2 more friends joined, the average became 52 stamps per person. What was the average number of stamps collected by the 2 new friends?   Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


Daniel scored an average of 85 marks in his first 4 tests. After the 5th test, his average dropped to 82 marks. What did he score on the 5th test?  <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


The average age of a family of 4 is 28 years. The baby is 2 years old. What is the average age of the other 3 family members?  <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">   years old


A shop sold an average of 45 shirts per day for 6 days. On the 7th day, there was a sale. If the average for all 7 days was 54 shirts per day, how many shirts were sold on the 7th day?  <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


The average rainfall for January to May was 84 mm per month. The average rainfall for January to June was 90 mm per month. What was the rainfall in June? <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">   mm


A cricket player's batting average after 20 innings was 35 runs. After the 21st innings, his average increased to 37 runs. How many runs did he score in the 21st innings?  <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">  runs


The average of 6 numbers is 24. If one number is doubled, the average becomes 28. What was the original number that was doubled?   <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


The average marks of 40 students is 72. Later, it was found that one student's marks were recorded as 64 instead of 46. What is the correct average?  <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


A train travels from Town A to Town B at an average speed of 60 km/h and returns at an average speed of 40 km/h. What is the average speed for the entire journey? <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">  km/h


The average of 5 consecutive even numbers is 34. What is the largest number? <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


In a class, the average age of 15 boys is 12 years and the average age of 10 girls is 11 years. What is the average age of the whole class?  <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">  years old


The average of 9 numbers is 40. The average of the first 5 numbers is 38 and the average of the last 5 numbers is 44. What is the 5th number? <br>  Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


Sarah's allowance was reduced by 20% to $12 during the summer. What was her allowance before it was reduced?


The price of a toy was decreased by 15% to $34 during a sale. What was the original price of the toy?


Ms. Johnson's work hours were cut by 25% to 30 hours per week. How many hours did she work per week before the cut?


Marcus had some money. He spent 70% of his money on a new bike and had $15 left over. How much money did Marcus have at the beginning?


Emma had some stickers. She gave away 80% of her stickers to friends and kept 12 stickers for herself. How many stickers did Emma have originally?


Jake had some marbles. He lost 40% of his marbles during recess and still has 18 marbles remaining. How many marbles did Jake start with?


25% of the students in a school are in kindergarten. If there are 84 students who are not in kindergarten, how many students are there in total?


40% of the books in a library are fiction books. If there are 72 non-fiction books, how many books are there altogether?


20% of the animals at a zoo are birds. If there are 96 animals that are not birds, how many animals are there in total?


Mr. Chen spent 40% of his money on a jacket. He spent 25% of the remaining money on shoes. If the shoes cost $36 less than the jacket, how much money did he have at first?


Sarah spent 25% of her allowance on a book. She spent 30% of the remaining money on a toy. If the toy cost $15 less than the book, how much allowance did she have originally?


Tommy spent 35% of his birthday money on a video game. He spent 15% of the remaining money on candy. If the candy cost $24 less than the video game, how much birthday money did he receive?


A bakery sold 240 cupcakes on Friday. They sold 30% fewer cupcakes on Thursday than on Friday. How many cupcakes did they sell over the two days?


A toy store sold 180 toys on Monday. They sold 25% fewer toys on Tuesday than on Monday. How many toys did they sell over the two days?


A flower shop sold 200 flowers on Wednesday. They sold 35% fewer flowers on Tuesday than on Wednesday. How many flowers did they sell over the two days?


A grape has a mass of 150g. It contains 80% water. After being left in the sun for a while, the water content decreased by 15%. What is the mass of the grape now?


A tomato has a mass of 300g. It contains 90% water. After being left in the sun for a while, the water content decreased by 20%. What is the mass of the tomato now?


An orange has a mass of 250g. It contains 75% water. After being left in the sun for a while, the water content decreased by 12%. What is the mass of the orange now?


A toy store increases the price of a game by 20% in the morning, then decreases it by 20% in the afternoon. What is the final price as a percentage of the original price?


Sarah's garden plot has its length increased by 15% and its width decreased by 15%. What is the area of the new garden as a percentage of the original area?


A pizza restaurant increases the length of their rectangular pizzas by 5% but decreases the width by 5%. What percentage of the original area is the new pizza area?


After receiving new books, the school library's collection of science books increased by 15% to 138 books. How many science books did the library have before receiving the new books?


During the summer sale, a toy store's daily customers increased by 20% to 96 customers per day. How many customers did the store have per day before the sale?


After planting more flowers, the number of roses in the school garden increased by 25% to 75 roses. How many roses were in the garden before planting more?


Maya had some stickers. She gave 30% to her sister and used 60% of the remaining stickers for her art project. She had 14 stickers left. How many stickers did she have at first?


Carlos had some marbles. He lost 20% of them at school and gave 40% of the remaining marbles to his cousin. He had 24 marbles left. How many marbles did he have at first?


Emma had some books. She donated 25% to the library and sold 40% of the remaining books online. She had 27 books left. How many books did she have at first?


A shop sold a shirt for $63 that originally cost $45. What was the percentage increase in price? <br>Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


The population of a town decreased from 24000 to 20400. What was the percentage decrease? <br>Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


The number of members in a club increased from 80 to 100 in the first year, then decreased to 85 in the second year. What was the overall percentage change from the beginning? <br>Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


A car's value decreased by 15% in the first year and by 20% in the second year. If the car was worth $85000 originally, what was its value after 2 years? <br>Answer :   $  <input min="0" type="number" class="lineinput" placeholder="?">


The price of a laptop was increased by 25% and then decreased by 20%. What was the overall percentage change? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?"> %


A farmer harvested 540 kg of rice this year compared to 450 kg last year. What was the percentage increase in his harvest? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


The number of visitors to a museum dropped from 1800 on Saturday to 1350 on Sunday. What was the percentage decrease? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


Mr. Lee's salary was $4500. After a pay cut, his salary became $3825. What was the percentage decrease in his salary? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


A dress was sold at a 30% discount. If the discount was $57, what was the original sale price of the dress?<br>Answer :  $   <input min="0" type="number" class="lineinput" placeholder="?">


The attendance at a concert increased by 35% compared to last year. If 5400 people attended this year, how many attended last year?<br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


A tank contained 600 litres of water. After some water was used, the amount decreased by 35%. More water was then added, increasing the remaining amount by 40%. How much water was in the tank finally? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?"> litres


Peter's weight increased from 48 kg to 54 kg. What was the percentage increase in his weight? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


A company's profit decreased by 18% in the first quarter and increased by 25% in the second quarter. If the original profit was $50000, what was the profit after the second quarter? <br>Answer :   $  <input min="0" type="number" class="lineinput" placeholder="?">


The number of books in a library increased from 12500 to 15000. What was the percentage increase? <br>Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


A store increased its prices by 20%. During a sale, prices were then reduced by 15%. What was the overall percentage change from the original prices? <br>Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


A stock's value decreased by 40% on Monday and then increased by 60% on Tuesday. What was the overall percentage change? <br>Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


Mrs. Tan's electricity bill increased from $84 to $105. By what percentage did her bill increase? <br>Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


A shop owner bought a watch for $240 and sold it for $312. What was his percentage profit? <br>Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


The price of a house increased by 12% in the first year and 15% in the second year. If the house was worth $250000 originally, what was its value after 2 years? <br>Answer :   $ <input min="0" type="number" class="lineinput" placeholder="?">


A shop reduced its prices by 25%. To restore the original prices, by what percentage must the reduced prices be increased? <br>Answer :    <input min="0" type="number" class="lineinput" placeholder="?">


The number of students in School X is 15% less than School Y. If School X has 680 students, how many students does School Y have? <br>Answer :   <input min="0" type="number" class="lineinput" placeholder="?">


A fruit seller bought oranges at $2 each and sold them at $2.70 each. What was his percentage profit per orange? <br>Answer :   <input min="0" type="number" class="lineinput" placeholder="?">


The length of a rectangle was increased by 20% and the width was decreased by 20%. What was the percentage change in the area? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


The price of petrol increased from $1.80 per litre to $2.25 per litre. What was the percentage increase? <br>Answer :   $  <input min="0" type="number" class="lineinput" placeholder="?">


A school's enrolment decreased by 8% from last year. If there are 1104 students this year, how many students were there last year? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


Ali's score improved from 56 marks to 84 marks. What was the percentage improvement in his score? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


The number of cars in a parking lot increased by 60% in the morning. By evening, the number decreased by 40% from the morning peak. If there were 120 cars initially, how many cars were there in the evening?<br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


A merchant bought goods for $800 and marked them up by 50%. During a clearance sale, he offered a discount and sold them for $840. What was the percentage discount given? <br>Answer :     <input min="0" type="number" class="lineinput" placeholder="?">


A toy that costs 80 dollars was sold at 60 dollars. How much discount in percentage terms was given?


A book that costs 50 dollars was sold at 35 dollars. How much discount in percentage terms was given?


Marcus earned 42 points on his math quiz. His score was 70% of the highest score in his class. What was the highest score in his class?


Sarah collected 36 stickers for her project. This was 60% of the most stickers anyone collected in her group. How many stickers did the person with the most stickers collect?


Jake ran 48 laps during gym class. His laps were 80% of the most laps anyone ran in his class. What was the highest number of laps run by anyone in his class?


In September, new students joined the Grade 5 classes. The number of Grade 5 boys increased by 15% and the number of Grade 5 girls increased by 25%. Before the new students arrived, there were 40 more girls than boys. After they joined, there were 70 more girls than boys. Find the total number of Grade 5 students at first.


At the start of the school year, some transfer students joined the Grade 3 classes. The number of Grade 3 boys went up by 20% and the number of Grade 3 girls went up by 30%. Originally, there were 60 more girls than boys. After the transfers, there were 90 more girls than boys. How many Grade 3 students were there originally?


In March, additional students enrolled in the Grade 6 classes. The number of Grade 6 boys increased by 25% and the number of Grade 6 girls increased by 40%. Initially, there were 30 more girls than boys. After enrollment, there were 60 more girls than boys. What was the original total number of Grade 6 students?


During the second semester, new pupils joined the Primary 2 classes. The number of P2 boys rose by 12% and the number of P2 girls rose by 18%. Before the new pupils arrived, there were 45 more girls than boys. After they joined, there were 72 more girls than boys. Find the initial total number of P2 pupils.


At the beginning of Term 2, some international students joined the Primary 1 classes. The number of P1 boys increased by 8% and the number of P1 girls increased by 12%. Originally, there were 35 more girls than boys. After the new students joined, there were 50 more girls than boys. How many P1 students were there at first?


Mr. Tan's salary is 20% more than Mr. Lee's salary. Mr. Lee's salary is 15% less than Mr. Wong's salary. Mr. Wong earns $4000 per month. How much more does Mr. Tan earn than Mr. Lee per month? <br>Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


Box A contains 30% fewer marbles than Box B. Box B contains 40% more marbles than Box C. Box C contains 25% more marbles than Box D. If Box D contains 200 marbles, how many marbles are in Box A? <br>Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


The price of Item X is 25% less than Item Y. The price of Item Y is 60% more than Item Z. The price of Item Z is 20% more than Item W. If Item W costs $125, find the total cost of buying one of each item. <br>Answer :  $ <input min="0" type="number" class="lineinput" placeholder="?">


In January, a few foreign pupils were enrolled into the P5 classes. As a result, the number of P5 boys increased by 10% to 121 and the number of P5 girls increased by 4% to 156. What was the percentage increase in the total number of P5 pupils? <br>Answer :   <input min="0" type="number" class="lineinput" placeholder="?">


In January, a few foreign pupils were enrolled into the P5 classes. As a result, the number of P5 boys increased by 10% and the number of P5 girls increased by 4%. The ratio of boys to girls after the enrolment was 11:12. If there were 17 new pupils enrolled altogether, find the number of P5 pupils at first.br>Answer :   <input min="0" type="number" class="lineinput" placeholder="?">


In January, a few foreign pupils were enrolled into the P5 classes. As a result, the number of P5 boys increased by 10% and the number of P5 girls increased by 25%. Before the enrolment, there were 20 more girls than boys. After the enrolment, there were 26 more girls than boys. Find the number of P5 pupils at first. br>Answer :   <input min="0" type="number" class="lineinput" placeholder="?">


Sarah spent 20% of her money on a sandwich and 35% of her money on a juice box. She had $9 left. How much money did she have at first? <br> Answer :  $ <input min="0" type="number" class="lineinput" placeholder="?">


Kelly spent 30% of her money on a sandwich. She then spent 40% of her remaining money on a juice box. She had $12.60 left. How much money did she have at first?<br> Answer :  $ <input min="0" type="number" class="lineinput" placeholder="?">


Mel spent 25% of her money on a sandwich, 40% of the remainder on a juice box, and 50% of what was left on a cookie. She had $13.50 remaining. How much money did she have at first?<br> Answer :  $ <input min="0" type="number" class="lineinput" placeholder="?">


Sue spent 20% of her money on a sandwich and some money on a juice box. The ratio of the cost of the sandwich to the juice box was 2:3. What percentage of her money was left? <br> Answer :  $ <input min="0" type="number" class="lineinput" placeholder="?">


Last week, Sarah spent $8 on a sandwich and $6 on a juice box. This week, she spent 25% more on the sandwich and 50% more on the juice box. What was the percentage increase in her total spending? <br> Answer :   <input min="0" type="number" class="lineinput" placeholder="?">  %


Min spent 15% of her money on a sandwich and 25% of her money on a juice box. She donated 40% of the remaining money to charity and had $36 left. How much money did she have at first? <br> Answer :   <input min="0" type="number" class="lineinput" placeholder="?">  %


Suzie had some money. She spent 30% of it on a sandwich. She then spent 20% of the original amount on a juice box. Finally, she spent 25% of the remaining money on a cookie. She had $42 left. How much money did she have at first? <br> Answer :  $ <input min="0" type="number" class="lineinput" placeholder="?">


Sarah spent 24% of her money on a sandwich and 36% of her money on a juice box. The juice box cost $4.80 more than the sandwich. Find the cost of the sandwich and the juice box.  <br> Answer :  $ <input min="0" type="number" class="lineinput" placeholder="?">


In an exam, 80% of the boys and 90% of the girls passed. There were 250 boys and 200 girls who took the exam. How many students passed the exam altogether and what percentage of all students passed?
 Number of  all students passed:   <input min="0" type="number" class="lineinput" placeholder="?">
 Percentage of all students passed:   ____  %


In an exam, 75% of the boys passed and 20% of the girls failed. The number of boys who passed was equal to the number of girls who passed. If 240 students passed altogether, how many boys and how many girls took the exam?
 Boyrs  :   <input min="0" type="number" class="lineinput" placeholder="?">
 Girls :   ____


In the first exam, 70% of students passed. In the second exam, 80% of those who failed the first exam passed. Overall, 54 students failed both exams. How many students took the exams?<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


In School A, 75% of students passed an exam. In School B, 60% of students passed the same exam. School A had 200 more students than School B. The total number of students who passed from both schools was 630. How many students were in each school?
 School A  :   <input min="0" type="number" class="lineinput" placeholder="?">
 School B  :   ____


Last year, 72% of students passed an exam. This year, the pass rate increased by 10 percentage points and 12 more students passed than last year. The same number of students took the exam both years. How many students took the exam?<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


In an exam, 85% of boys passed and 90% of girls passed. The number of boys who failed was three times the number of girls who failed. If 60 students failed altogether, how many boys and girls took the exam?<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


Students who failed the first exam had to take a retest. In the first exam, 65% of students passed. In the retest, 80% of those who took it passed. Overall, 93% of all students eventually passed. How many students took the first exam if 28 students failed both exams? <br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


In an exam, some students passed and some failed. If 10 more students had passed, the pass rate would have been 80%. If 10 fewer students had passed, the pass rate would have been 60%. How many students took the exam? <br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


In an exam, the ratio of students who passed to those who failed was 7:3. If 24 more students had passed, the pass rate would have been 85%. How many students took the exam? <br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


A baker bought 15 kg of flour and 8 kg of sugar. He used 40% of the flour and 25% of the sugar. What percentage of the total ingredients had not been used? <br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">  %


Mrs Tan bought 12 kg of rice. On the first day, she used 15% of it. On the second day, she used 20% of the remainder. What percentage of the original amount of rice had not been used?
<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">  %


A tank was filled with water. On Monday, 30% of the water was used. On Tuesday, 25% of the remaining water was used. On Wednesday, 40% of what was left was used. If 126 litres of water remained, how much water was in the tank at first?
<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">  litres


A container had some oil. On the first day, 20% of the oil was used. On the second day, 10 litres were added and then 25% of the total was used. The container now has 45 litres of oil. How much oil was in the container at first?
<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">  litres


A café bought 20 kg of coffee beans, 15 kg of tea leaves, and 25 kg of cocoa powder. By the end of the month, they had used 65% of the coffee beans, 40% of the tea leaves, and 80% of the cocoa powder. What percentage of the total supplies remained?
<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?"> %


A farmer harvested 450 kg of potatoes. He sold some at the market and gave 20% of the remainder to his neighbours. He had 180 kg left. What percentage of the original harvest did he sell at the market?
<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?"> %


A fuel tank had 400 litres of diesel. On Monday, 25% was used. On Tuesday, the tank was topped up with 100 litres and then 20% of the total was used. On Wednesday, 25% of the remaining diesel was used. What percentage of the original 400 litres remained in the tank?
<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?"> %


Mr Wong bought some cooking oil. He used 30% of it in the first week. In the second week, he used 25% of the remainder. In the third week, he used 40% of what was left. He had 6.3 litres remaining. How much cooking oil did Mr Wong buy?
<br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?"> litres


Kevin had some money. After spending 20% on a book and 40% of the remainder on a bag, he had $72 left. How much money did Kevin have at first?  <br> Answer  :  $  <input min="0" type="number" class="lineinput" placeholder="?">


Mrs Lee had 120 kg of flour. After using some flour for cakes and 35% of the remainder for bread, she had 39 kg left. How much flour did she use for cakes?  <br> Answer  :  <input min="0" type="number" class="lineinput" placeholder="?">  kg


A tank contained 500 litres of water. After some water was drained and 20% of the remainder was used for washing, 288 litres were left. How many litres of water were drained?  <br> Answer  :  <input min="0" type="number" class="lineinput" placeholder="?">  litres


Mr Tan had some savings. He spent $450 on a phone and 30% of the remainder on a watch.
He then spent 25% of what was left on shoes and had $630 remaining. How much savings did Mr Tan have at first?
 Answer  :  $  <input min="0" type="number" class="lineinput" placeholder="?">


Amy had $240. She spent some money on a dress and 40% of the remainder on a pair of shoes.
 She then spent $12 on lunch and had 60 dollars left. What was the cost of the dress?
 Answer  :  $  <input min="0" type="number" class="lineinput" placeholder="?">


Ben and Chloe each had the same amount of money. Ben spent $80 on a game and 25% of the remainder on snacks.
Chloe spent 40% of her money on a bag and $30 on a book. They both had the same amount of money left. How much did each of them have at first?
 Ben  :  $  <input min="0" type="number" class="lineinput" placeholder="?">
 Chloe  :  $  ____


A farmer had some eggs. He sold 240 eggs at the morning market and 30% of the remainder at the afternoon market. He then gave 15% of what was left to his neighbour and had 476 eggs remaining. How many eggs did the farmer have at first? <br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


A shop had some shirts. On Monday, 40% of the shirts were sold. On Tuesday, 50 more shirts arrived and 20% of the total was sold. The shop had 280 shirts left. How many shirts did the shop have at first? <br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


Ali had some marbles. He gave 20% of them to Ben and 25% of the remainder to Chloe. He then lost 15 marbles and gave 30% of what was left to David. Ali had 84 marbles remaining. How many marbles did Ali have at first? <br> Answer  :   <input min="0" type="number" class="lineinput" placeholder="?">


Mrs Wong had some money. She spent $180 on groceries and 25% of the remainder on clothes.
She then received $120 from her husband and spent 40% of her total money on furniture. She had 288 dollars left. How much money did Mrs Wong have at first?
 Answer  :   $ <input min="0" type="number" class="lineinput" placeholder="?">


At first, the ratio of boys to girls at a party was 3 : 2. Then 40% of the boys and 25% of the girls left the party. What was the new ratio of boys to girls? <br> Boys : girls =   <input min="0" type="number" class="lineinput" placeholder="?">  :  ____


At first, the ratio of red beads to blue beads in a box was 5 : 4. Then 20% of the red beads were removed and some blue beads were added. The ratio became 2 : 3. If there were 150 red beads at first, how many blue beads were added? <br> Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


A farm had chickens and ducks in the ratio 4 : 3. After 25% of the chickens were sold and 50% more ducks were bought, there were 390 birds altogether. How many chickens were there at first? <br> Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


The ratio of men to women at a concert was 2 : 3. During the interval, 25% of the men left and 20% of the women left. What was the new ratio of men to women? <br> Men :  women = ___ : <input min="0" type="number" class="lineinput" placeholder="?">


A shop had fiction and non-fiction books in the ratio 5 : 4. After selling 40% of the fiction books and 25% of the non-fiction books, 60 more fiction books than non-fiction books were sold. How many books did the shop have at first? <br> Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


A container had orange juice and apple juice in the ratio 5 : 3. After 20% of the orange juice was drunk and 50% of the apple juice was drunk, there were 90 ml more orange juice than apple juice left. How much juice was in the container at first?<br> Answer :  <input min="0" type="number" class="lineinput" placeholder="?"> ml


At first, the number of apples, oranges, and pears in a basket were in the ratio 4 : 5 : 3. After 25% of the apples were eaten, 20% of the oranges were eaten, and 10 pears were added, the ratio became 3 : 4 : 4. How many fruits were in the basket at first?  <br> Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


A shop sells shirts and pants in the ratio 4:3. Of the shirts, the ratio of long sleeve to short sleeve is 2:3. Of the pants, the ratio of long to short is 5:1. What fraction of all items sold are long sleeve shirts?


A fruit basket has mangoes and papayas in the ratio 5:4. Of the mangoes, the ratio of ripe to unripe is 3:2. Of the papayas, the ratio of ripe to unripe is 1:1. If there are 45 fruits altogether, how many ripe fruits are there?  <br>Answer :  <input min="0" type="number" class="lineinput" placeholder="?">


A bookstore has hardcover and paperback books in the ratio 3:7. Of the hardcovers, the ratio of fiction to non-fiction is 2:1. Of the paperbacks, the ratio of fiction to non-fiction is 4:3. What is the ratio of all fiction to all non-fiction books?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A factory produces widgets and gadgets in the ratio 6:5. Of the widgets, the ratio of defective to non-defective is 1:11. Of the gadgets, the ratio of defective to non-defective is 1:9. If 1100 items are produced, how many defective items are there?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A restaurant serves lunch and dinner customers in the ratio 3:5. Of the lunch customers, the ratio who order dessert to those who don't is 1:2. Of the dinner customers, this ratio is 3:2. What percentage of all customers order dessert?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A garden has roses and lilies in the ratio 9:7. Of the roses, the ratio of red to white is 5:4. Of the lilies, the ratio of red to white is 3:4. If there are 112 flowers altogether, how many white flowers are there?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A company has permanent and contract staff in the ratio 5:3. Of the permanent staff, the ratio who work from home to those who work in office is 2:3. Of the contract staff, this ratio is 4:1. What percentage of all staff work from home?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A pet shop has fish and hamsters in the ratio 8:3. Of the fish, the ratio of goldfish to guppies is 3:1. Of the hamsters, the ratio of brown to white is 2:1. If there are 88 animals altogether, how many goldfish are there?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A university has undergraduate and postgraduate students in the ratio 7:2. Of the undergraduates, the ratio of local to international is 4:1. Of the postgraduates, this ratio is 1:4. What is the ratio of all local to all international students?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A supermarket sells fresh and frozen food in the ratio 5:2. Of the fresh food, the ratio of vegetables to meat is 7:3. Of the frozen food, the ratio of vegetables to meat is 1:3. What is the ratio of vegetables to all food sold?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A bus has adults and children in the ratio 4:5. Of the adults, the ratio who have monthly passes to those who pay cash is 3:1. Of the children, this ratio is 2:3. If there are 72 passengers, how many pay cash?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


An orchard has apple and orange trees in the ratio 3:4. Of the apple trees, the ratio of bearing fruit to not bearing is 5:1. Of the orange trees, this ratio is 7:1. What percentage of all trees are bearing fruit? Express your answer to 2 decimal places  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A toy store sells dolls and cars in the ratio 5:8. Of the dolls, the ratio of plastic to cloth is 3:2. Of the cars, the ratio of plastic to metal is 5:3. If 130 toys were sold, how many plastic toys were sold?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A hotel has single and double rooms in the ratio 2:3. Of the single rooms, the ratio of occupied to vacant is 3:1. Of the double rooms, this ratio is 4:1. If there are 100 rooms, how many rooms are vacant?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A music school has piano and violin students in the ratio 5:3. Of the piano students, the ratio of beginners to advanced is 2:3. Of the violin students, this ratio is 5:1. What percentage of all students are beginners? Express your answer in 2 decimal places. <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A café serves hot and cold drinks in the ratio 7:3. Of the hot drinks, the ratio of coffee to tea is 4:3. Of the cold drinks, the ratio of coffee to tea is 1:2. What is the ratio of all coffee to all tea drinks served? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A swimming club has junior and senior members in the ratio 4:3. Of the juniors, the ratio who compete to those who don't is 1:3. Of the seniors, this ratio is 2:1. If there are 84 members, how many more members compete than don't compete? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A concert has VIP and regular ticket holders in the ratio 1:9. Of the VIP holders, the ratio of early birds to walk-ins is 7:3. Of the regular holders, this ratio is 2:3. If there are 500 people at the concert, how many walk-ins are there? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A bakery produces croissants and baguettes in the ratio 4:7. Of the croissants, the ratio of chocolate to plain is 3:5. Of the baguettes, the ratio of seeded to plain is 2:5. If 88 items were produced, how many plain items were there in total? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A museum has paintings and sculptures in the ratio 9:4. Of the paintings, the ratio of modern to classical is 2:1. Of the sculptures, the ratio of modern to classical is 1:3. If there are 52 artworks, how many are modern? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A dental clinic has adult and child patients in the ratio 5:2. Of the adults, the ratio with cavities to without is 3:7. Of the children, this ratio is 4:1. If 70 patients visited the clinic, how many had cavities? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A warehouse stores electronics and furniture in the ratio 3:2. Of the electronics, the ratio of imported to local is 5:4. Of the furniture, the ratio of imported to local is 1:3. If there are 180 items, what is the ratio of all imported to all local items? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A yoga studio has morning and evening classes in the ratio 3:5. Of the morning attendees, the ratio of members to non-members is 7:2. Of the evening attendees, this ratio is 3:2. If 144 people attended classes, how many were non-members? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A florist sells tulips and daisies in the ratio 5:6. Of the tulips, the ratio of pink to yellow is 2:3. Of the daisies, the ratio of pink to yellow is 5:1. If there are 66 flowers, how many yellow flowers are there? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A tech company has engineers and designers in the ratio 7:3. Of the engineers, the ratio of software to hardware is 5:2. Of the designers, the ratio of UX to graphic is 2:1. If there are 120 employees, how many software engineers are there? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A chess tournament has amateur and professional players in the ratio 5:4. Of the amateurs, the ratio who win their first match to those who lose is 2:3. Of the professionals, this ratio is 3:1. If 90 players participate, how many win their first match? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A charity event has donors and volunteers in the ratio 2:7. Of the donors, the ratio of corporate to individual is 1:3. Of the volunteers, the ratio of corporate to individual is 2:5. If there are 126 participants, what is the ratio of all corporate to all individual participants? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A fitness centre has treadmills and bicycles in the ratio 4:5. Of the treadmills, the ratio of occupied to vacant is 5:3. Of the bicycles, this ratio is 7:3. If there are 72 machines, how many are vacant? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A video game store sells consoles and games in the ratio 1:8. Of the consoles, the ratio of new to refurbished is 4:1. Of the games, the ratio of new to pre-owned is 3:5. If 360 items were sold, how many new items were sold? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A language school has Spanish and French learners in the ratio 7:5. Of the Spanish learners, the ratio of beginners to intermediate to advanced is 4:2:1. Of the French learners, the ratio of beginners to intermediate to advanced is 3:1:1. If there are 84 learners, how many are at intermediate level? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A wedding has guests from the bride's side and groom's side in the ratio 6:5. Of the bride's guests, the ratio of family to friends is 2:7. Of the groom's guests, this ratio is 3:2. If there are 99 guests, how many are family members? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A hiking group has experienced and novice hikers in the ratio 2:5. Of the experienced hikers, the ratio who brought their own gear to those who rented is 3:1. Of the novice hikers, this ratio is 2:3. If 70 hikers participated, how many rented gear?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A pottery studio has vases and bowls on display in the ratio 5:7. Of the vases, the ratio of glazed to unglazed is 3:2. Of the bowls, the ratio of glazed to unglazed is 4:3. If there are 84 items on display, how many are glazed? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A driving school has automatic and manual learners in the ratio 9:5. Of the automatic learners, the ratio who pass on first attempt to those who don't is 5:4. Of the manual learners, this ratio is 2:3. What percentage of all learners pass on first attempt? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A juice bar sells smoothies and milkshakes in the ratio 8:5. Of the smoothies, the ratio of fruit-based to vegetable-based is 5:3. Of the milkshakes, the ratio of chocolate to vanilla is 3:2. If 130 drinks were sold, how many fruit-based smoothies were sold?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A craft fair has jewellery and pottery stalls in the ratio 4:3. Of the jewellery stalls, the ratio of handmade to machine-made is 7:1. Of the pottery stalls, this ratio is 5:1. If there are 168 stalls, how many sell handmade items?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A ski resort has adult and child skiers in the ratio 5:4. Of the adults, the ratio who take lessons to those who don't is 1:4. Of the children, this ratio is 3:1. If 180 skiers visited the resort, how many more children than adults took lessons?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A photography club has amateurs and professionals in the ratio 11:4. Of the amateurs, the ratio who use digital to film cameras is 9:2. Of the professionals, this ratio is 3:1. If there are 75 members, how many use film cameras? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A school has boys and girls in the ratio 3:2. Of the boys, the ratio of those who wear glasses to those who don't is 1:5. Of the girls, this ratio is 1:3. If there are 120 students, how many wear glasses?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A library has English and Chinese books in the ratio 7:3. Of the English books, the ratio of fiction to non-fiction is 4:3. Of the Chinese books, this ratio is 2:1. If there are 100 books, how many are fiction?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A car park has cars and motorcycles in the ratio 4:1. Of the cars, the ratio of red to blue is 3:1. Of the motorcycles, the ratio of red to blue is 1:1. If there are 50 vehicles, how many are red?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A shop sells pens and pencils in the ratio 2:3. Of the pens, the ratio of black to blue is 3:2. Of the pencils, the ratio of black to blue is 1:4. If 100 items were sold, how many blue items were sold?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A class has local and foreign students in the ratio 5:1. Of the local students, the ratio who take the bus to those who walk is 3:2. Of the foreign students, this ratio is 1:1. If there are 60 students, how many take the bus?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A fruit shop sells apples and pears in the ratio 3:4. Of the apples, the ratio of sweet to sour is 5:1. Of the pears, this ratio is 3:1. If 140 fruits were sold, how many sweet fruits were sold?   <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A restaurant serves adults and children in the ratio 7:2. Of the adults, the ratio who order drinks to those who don't is 5:2. Of the children, this ratio is 1:1. If 90 customers were served, how many ordered drinks?   <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A toy store sells dolls and robots in the ratio 2:5. Of the dolls, the ratio of large to small is 1:3. Of the robots, this ratio is 2:3. If 70 toys were sold, how many small toys were sold?   <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A garden has roses and sunflowers in the ratio 4:5. Of the roses, the ratio of blooming to wilting is 7:1. Of the sunflowers, this ratio is 4:1. If there are 72 flowers, how many are blooming?   <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A cinema has adults and seniors in the ratio 8:3. Of the adults, the ratio who bought snacks to those who didn't is 3:1. Of the seniors, this ratio is 1:2. If 110 people attended, how many bought snacks?   <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A swimming pool has members and non-members in the ratio 5:4. Of the members, the ratio of adults to children is 2:3. Of the non-members, this ratio is 1:3. If 108 people visited, how many were children?    <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A bakery sells cakes and muffins in the ratio 2:7. Of the cakes, the ratio of chocolate to vanilla is 1:1. Of the muffins, this ratio is 4:3. If 126 items were sold, how many chocolate items were sold?    <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A hotel has single and double rooms in the ratio 3:7. Of the single rooms, the ratio of occupied to vacant is 2:1. Of the double rooms, this ratio is 5:2. If there are 80 rooms, how many are occupied?   <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


Method: standard
Steps:
1. Calculate the volume of the tank: 70 cm * 50 cm * height.
2. Find the volume when it is \(\dfrac{1}{2}\) full.
3. Set up the equation with the volume and solve for height.

Final Answer: 34 cm


Method: standard
Steps:
1. Calculate the volume of the box: 120 cm * 30 cm * height.
2. Find the volume when it is \(\dfrac{1}{4}\) full.
3. Set up the equation with the volume and solve for height.

Final Answer: 30 cm


Method: standard
Steps:
1. Calculate the volume of the tank: 60 cm * 40 cm * height.
2. Find the volume when it is \(\dfrac{1}{3}\) full.
3. Set up the equation with the volume and solve for height.

Final Answer: 30 cm


Method: standard
Steps:
1. Calculate the base area: 20 cm * 15 cm = 300 cm².
2. Convert 6 litres to cm³: 6 litres = 6000 cm³.
3. Use the formula: height = volume / base area = 6000 cm³ / 300 cm² = 20 cm.

Final Answer: 20 cm


Method: standard
Steps:
1. Calculate the base area: 25 cm * 20 cm = 500 cm².
2. Convert 5 litres to cm³: 5 litres = 5000 cm³.
3. Use the formula: height = volume / base area = 5000 cm³ / 500 cm² = 10 cm.

Final Answer: 10 cm


Method: standard
Steps:
1. Calculate the base area: 28 cm * 20 cm = 560 cm².
2. Convert 8 litres to cm³: 8 litres = 8000 cm³.
3. Use the formula: height = volume / base area = 8000 cm³ / 560 cm² = 14 cm.

Final Answer: 14 cm


Method: standard
Steps:
1. Calculate the volume of the first box: 40 cm × 15 cm × 5 cm = 3000 cm³.
2. The new box is filled to \(\dfrac{1}{3}\) of its height, so its volume is 3000 cm³.
3. Let the base area of the new box be A. Then, A × 10 cm = 3000 cm³.
4. Solve for A: A = 3000 cm³ ÷ 10 cm = 300 cm².

Final Answer: 300


Method: standard
Steps:
1. Volume of the first tank: 25 cm × 20 cm × 8 cm = 4000 cm³.
2. The second tank is filled to half its height, so its volume is 4000 cm³.
3. Let the base area of the second tank be A. Then, A × 16 cm = 4000 cm³.
4. Solve for A: A = 4000 cm³ ÷ 16 cm = 250 cm².

Final Answer: 250


Method: standard
Steps:
1. Calculate the volume of the first box: 50 cm × 30 cm × 10 cm = 15000 cm³.
2. The new box is filled to a quarter of its height, so its volume is 15000 cm³.
3. Let the base area of the new box be A. Then, A × 20 cm = 15000 cm³.
4. Solve for A: A = 15000 cm³ ÷ 20 cm = 750 cm².

Final Answer: 750


Method: standard
Steps:
1. Volume of the first aquarium: 35 cm × 25 cm × 7 cm = 6125 cm³.
2. The second aquarium is filled to a third of its height, so its volume is 6125 cm³.
3. Let the base area of the second aquarium be A. Then, A × 14 cm = 6125 cm³.
4. Solve for A: A = 6125 cm³ ÷ 14 cm = 437.5 cm².

Final Answer: 437.5


Method: standard
Steps:
1. Calculate the volume of the first container: 20 cm × 10 cm × 4 cm = 800 cm³.
2. The new container is filled to half its height, so its volume is 800 cm³.
3. Let the base area of the new container be A. Then, A × 8 cm = 800 cm³.
4. Solve for A: A = 800 cm³ ÷ 8 cm = 100 cm².

Final Answer: 100


Method: standard
Steps:
1. Calculate base area: 50 * 20 = 1000 cm²
2. Convert liters to cm³: 15 liters = 15000 cm³
3. Calculate height: 15000 cm³ / 1000 cm² = 15 cm

Final Answer: 15


Method: standard
Steps:
1. Calculate base area: 30 * 25 = 750 cm²
2. Convert liters to cm³: 20 liters = 20000 cm³
3. Calculate height: 20000 cm³ / 750 cm² = 26.67 cm

Final Answer: 26.67


Method: standard
Steps:
1. Calculate base area: 60 * 30 = 1800 cm²
2. Convert liters to cm³: 18 liters = 18000 cm³
3. Calculate height: 18000 cm³ / 1800 cm² = 10 cm

Final Answer: 10


Method: standard
Steps:
1. Calculate base area: 80 * 40 = 3200 cm²
2. Convert liters to cm³: 30 liters = 30000 cm³
3. Calculate height: 30000 cm³ / 3200 cm² = 9.375 cm

Final Answer: 9.375


Method: standard
Steps:
1. Calculate base area: 70 * 50 = 3500 cm²
2. Convert liters to cm³: 35 liters = 35000 cm³
3. Calculate height: 35000 cm³ / 3500 cm² = 10 cm

Final Answer: 10


Method: standard
Steps:
1. Identify the number 121.
2. Find a number that, when multiplied by itself, equals 121.
3. 11 times 11 equals 121.

Final Answer: 11


Method: standard
Steps:
1. Identify the number 100.
2. Find a number that, when multiplied by itself, equals 100.
3. 10 times 10 equals 100.

Final Answer: 10


Method: standard
Steps:
1. Identify the number 81.
2. Find a number that, when multiplied by itself, equals 81.
3. 9 times 9 equals 81.

Final Answer: 9


Method: standard
Steps:
1. Identify the number 36.
2. Find a number that, when multiplied by itself, equals 36.
3. 6 times 6 equals 36.

Final Answer: 6


Method: standard
Steps:
1. Find two numbers that multiply to 1600.
2. Check 40 times 40.

Final Answer: 40


Method: standard
Steps:
1. Identify numbers that could work.
2. Confirm that 18 times 18 equals 324.

Final Answer: 18


Method: standard
Steps:
1. Find the number that when squared equals 121.
2. Check 11 times 11.

Final Answer: 11


Method: standard
Steps:
1. Identify the square root of 144.
2. Confirm that 12 times 12 equals 144.

Final Answer: 12


Method: standard
Steps:
1. Find the square root of 256.
2. Check that 16 times 16 equals 256.

Final Answer: 16


Method: standard
Steps:
1. Identify the number that squares to 900.
2. Confirm that 30 times 30 equals 900.

Final Answer: 30


Method: standard
Steps:
1. Find the square root of 484.
2. Check that 22 times 22 equals 484.

Final Answer: 22


Method: standard
Steps:
1. Identify the square root of 729.
2. Confirm that 27 times 27 equals 729.

Final Answer: 27


Method: standard
Steps:
1. Find the square root of 361.
2. Check that 19 times 19 equals 361.

Final Answer: 19


Method: standard
Steps:
1. Find the cube root of 512.
2. Check which number multiplied by itself three times equals 512.

Final Answer: 8


Method: standard
Steps:
1. Identify the cube root of 729.
2. Determine what number cubed equals 729.

Final Answer: 9


Method: standard
Steps:
1. Calculate the cube root of 1000.
2. Find the number that cubed equals 1000.

Final Answer: 10


Method: standard
Steps:
1. Determine the cube root of 1728.
2. Check which number cubed equals 1728.

Final Answer: 12


Method: standard
Steps:
1. Find the cube root of 343.
2. Identify the number that cubed equals 343.

Final Answer: 7


Method: standard
Steps:
1. Calculate the cube root of 216.
2. Find the number that cubed equals 216.

Final Answer: 6


Method: standard
Steps:
1. Identify the cube root of 64.
2. Determine which number cubed equals 64.

Final Answer: 4


Method: standard
Steps:
1. Calculate the cube root of 125.
2. Find the number that cubed equals 125.

Final Answer: 5


Method: standard
Steps:
1. Identify the cube root of 8.
2. Determine which number cubed equals 8.

Final Answer: 2


Method: standard
Steps:
1. Calculate total water volume: 30 buckets × 8 litres = 240 litres.
2. Convert litres to cubic meters: 240 litres = 0.24 m³.
3. Calculate base area of the box: 3 m × 2 m = 6 m².
4. Find the height increase: 0.24 m³ ÷ 6 m² = 0.04 m = 4 cm.

Final Answer: 10


Method: standard
Steps:
1. Calculate total water volume: 25 buckets × 5 litres = 125 litres.
2. Convert litres to cubic meters: 125 litres = 0.125 m³.
3. Calculate base area of the container: 4 m × 2 m = 8 m².
4. Find the height increase: 0.125 m³ ÷ 8 m² = 0.015625 m = 1.5625 cm.

Final Answer: 10


Method: standard
Steps:
1. Calculate total water volume: 20 buckets × 6 litres = 120 litres.
2. Convert litres to cubic meters: 120 litres = 0.12 m³.
3. Calculate base area of the tank: 1.5 m × 1 m = 1.5 m².
4. Find the height increase: 0.12 m³ ÷ 1.5 m² = 0.08 m = 8 cm.

Final Answer: 10


Method: standard
Steps:
1. Calculate volume of Box A: 2.0 × 1.5 × 0.4 = 1.2 m³
2. Calculate volume of Box B: 1.5 × 1.0 × 0.2 = 0.3 m³
3. Add volumes: 1.2 + 0.3 = 1.5 m³
4. Find height in Box B: 1.5 ÷ (1.5 × 1.0) = 1.0 m

Final Answer: 1.0 m


Method: standard
Steps:
1. Calculate volume of Container A: 1.2 × 1.0 × 0.5 = 0.6 m³
2. Calculate volume of Container B: 1.0 × 0.8 × 0.1 = 0.08 m³
3. Add volumes: 0.6 + 0.08 = 0.68 m³
4. Find height in Container B: 0.68 ÷ (1.0 × 0.8) = 0.85 m

Final Answer: 0.8 m


Method: standard
Steps:
1. Calculate volume of Box A: 1.5 × 1.2 × 0.4 = 0.72 m³
2. Calculate volume of Box B: 1.0 × 0.9 × 0.3 = 0.27 m³
3. Add volumes: 0.72 + 0.27 = 0.99 m³
4. Find new depth in Box B: 0.99 ÷ (1.0 × 0.9) = 1.1 m

Final Answer: 0.9 m


Method: standard
Steps:
1. Calculate the side length of the cube from the surface area.
2. Find the volume of the cube.
3. Calculate the volume of the hole.
4. Subtract the volume of the hole from the cube's volume.

Final Answer: 580


Method: standard
Steps:
1. Determine the side length of the cube from the surface area.
2. Calculate the volume of the cube.
3. Find the volume of the tunnel.
4. Subtract the tunnel's volume from the cube's volume.

Final Answer: 388


Method: standard
Steps:
1. Calculate the side length of the cube from the surface area.
2. Find the volume of the cube.
3. Calculate the volume of the circular hole.
4. Subtract the hole's volume from the cube's volume.

Final Answer: 280


Method: standard
Steps:
1. Calculate the total volume for 80%: 2 m³ plus the volume at 50%.
2. Use the base area to find the height.

Final Answer: 2


Method: standard
Steps:
1. Find the total volume for 50%: 1.2 m³ plus the volume at 20%.
2. Use the base area to calculate the height.

Final Answer: 2


Method: standard
Steps:
1. Find common denominator: 8.
2. Convert $$\frac{1}{4}$$ to $$\frac{2}{8}$$.
3. Subtract: $$\frac{3}{8} - \frac{2}{8} = \frac{1}{8}$$.

Final Answer: $$\frac{1}{8}$$