{ "paper": { "school": "Maris Stella", "year": 2023, "level": "P5", "label": "Weighted Assessment 3", "source_prefix": "Maris Stella 2023 P5 Weighted Assessment 3", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 9.876, which digit is in the hundredths place?", "answer0": "9", "answer1": "8", "answer2": "7", "answer3": "6", "correct_answer": 2, "skill_id": 123, "difficulty_id": 1, "explanation": "In a decimal, the first digit after the point is tenths, the second is hundredths, the third is thousandths. In 9.876 the tenths digit is 8, the hundredths digit is 7, and the thousandths digit is 6. So the digit in the hundredths place is 7.", "hints": ["Count the places after the decimal point: tenths, hundredths, thousandths.", "The hundredths place is the 2nd digit after the point."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 3 (digit 7)." }, { "n": 2, "type_id": 1, "question": "Which number is the smallest?", "answer0": "0.51", "answer1": "0.62", "answer2": "0.501", "answer3": "0.602", "correct_answer": 2, "skill_id": 124, "difficulty_id": 1, "explanation": "Compare place by place. Tenths: 0.51 and 0.501 have 5 tenths; 0.62 and 0.602 have 6 tenths, so they are larger. Between 0.51 (= 0.510) and 0.501, the hundredths digit is 1 versus 0, so 0.501 is smaller. The smallest number is 0.501.", "hints": ["Line up the decimal points and compare digit by digit from the left.", "Write 0.51 as 0.510 to compare with 0.501."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 3 (0.501)." }, { "n": 3, "type_id": 1, "question": "Mark recorded the weight of his 4 friends. Find the average weight of these 4 friends.
Charles: 59 kg, Richard: 67 kg, Kate: 43 kg, Jessica: 51 kg", "answer0": "44 kg", "answer1": "55 kg", "answer2": "126 kg", "answer3": "220 kg", "correct_answer": 1, "skill_id": 203, "difficulty_id": 1, "explanation": "Average = total weight ÷ number of friends. Total = 59 + 67 + 43 + 51 = 220 kg. Average = 220 ÷ 4 = 55 kg.", "hints": ["Average = total amount ÷ number of items.", "Add the four weights, then divide by 4."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Data table inlined into stem (figure-free). Answer key: option 2 (55 kg)." }, { "n": 4, "type_id": 1, "question": "300 students attended the Primary 5 level camp. 120 of them are girls. What percentage of the students are boys?", "answer0": "40%", "answer1": "60%", "answer2": "120%", "answer3": "180%", "correct_answer": 1, "skill_id": 171, "difficulty_id": 2, "explanation": "Number of boys = 300 − 120 = 180. Percentage of boys = \\(\\dfrac{180}{300}\\times 100\\% = 60\\%\\).", "hints": ["First find the number of boys: total − girls.", "Percentage = (boys ÷ total) × 100%."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 2 (60%)." }, { "n": 5, "type_id": 1, "question": "Maria deposited $20 000 in a fixed deposit account with Orion Bank. The bank paid 3% interest at the end of the year. How much did Maria have in her bank account after 1 year?", "answer0": "$20 006", "answer1": "$20 060", "answer2": "$20 600", "answer3": "$26 000", "correct_answer": 2, "skill_id": 176, "difficulty_id": 2, "explanation": "Interest = 3% of $20 000 = \\(\\dfrac{3}{100}\\times 20000 = \\$600\\). Total in account = $20 000 + $600 = $20 600.", "hints": ["Find 3% of $20 000 first.", "Add the interest to the original deposit."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 3 ($20 600)." }, { "n": 6, "type_id": 2, "question": "Express 0.807 as a percentage.
[?]%", "answer0": "80.7", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 173, "difficulty_id": 1, "explanation": "To convert a decimal to a percentage, multiply by 100. 0.807 × 100 = 80.7%.", "hints": ["Multiply the decimal by 100 to get a percentage.", "Move the decimal point two places to the right."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 80.7%. Blank answers the numeric value; '%' is fixed text in stem." }, { "n": 7, "type_id": 2, "question": "Find the value of 65 ÷ 200.
[?]", "answer0": "0.325", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 125, "difficulty_id": 1, "explanation": "65 ÷ 200 = \\(\\dfrac{65}{200}\\). Simplify: \\(\\dfrac{65}{200}=\\dfrac{13}{40}\\). As a decimal, 13 ÷ 40 = 0.325. (Or 65 ÷ 200 = 325 ÷ 1000 = 0.325.)", "hints": ["Express the division as a fraction, then convert to a decimal.", "Multiply numerator and denominator to make the denominator 1000: 65/200 = 325/1000."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 0.325 (decimal, FIB)." }, { "n": 8, "type_id": 2, "question": "A string of length 5.4 m was cut into 3 pieces. The first piece was 3 times as long as the second piece. The second piece was twice as long as the third piece. How long was the second piece? Express your answer in metres.
[?] m", "answer0": "1.2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 183, "difficulty_id": 2, "explanation": "Let the third piece be 1 unit. Second piece = 2 units (twice the third). First piece = 3 × second = 6 units. Total = 6 + 2 + 1 = 9 units = 5.4 m, so 1 unit = 0.6 m. Second piece = 2 units = 1.2 m.", "hints": ["Let the third piece be 1 unit and express the others in units.", "First = 6 units, second = 2 units, third = 1 unit; total 9 units = 5.4 m."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 1.2 m. Unit 'm' is fixed text in stem; blank holds numeric 1.2." }, { "n": 9, "type_id": 2, "question": "12 macaroons costs $59.80. How much will 36 such macaroons cost?
$[?]", "answer0": "179.40", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 1, "explanation": "36 macaroons is 3 times 12 macaroons (36 ÷ 12 = 3). Cost = 3 × $59.80 = $179.40.", "hints": ["How many times more macaroons is 36 than 12?", "Multiply the cost of 12 by that factor."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: $179.40. Blank holds 179.40; '$' is fixed text in stem." }, { "n": 10, "type_id": 2, "question": "The table shows the results obtained by Jenny during her examination. Part of the table is covered by an inkblot.
English: 75, Mathematics: 89, Chinese: 6?, Science: ?
The average score for the 4 subjects is 72. What is the largest possible score Jenny obtained for Science?
[?]", "answer0": "64", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 204, "difficulty_id": 3, "explanation": "Total of 4 subjects = average × 4 = 72 × 4 = 288. Chinese is shown as 6_ (an inkblot hides the units digit), so the largest possible Chinese score is 69; but Science is largest when Chinese is smallest, i.e. Chinese = 60. Then Science = 288 − 75 − 89 − 60 = 64.", "hints": ["Total marks = average × number of subjects = 72 × 4.", "Science is largest when the hidden Chinese score is smallest (Chinese = 60)."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 64. Chinese score partly hidden by inkblot ('6_'); for the LARGEST Science, take Chinese = 60. Table inlined into stem (the inkblot art is not a needed figure)." }, { "n": 11, "type_id": 2, "question": "Clarence and Declan had $4500 together. After Clarence spent 40% of his money and Declan spent 25% of his money, they each had an equal amount of money left. How much money did Declan have at first?
$[?]", "answer0": "2000", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 175, "difficulty_id": 3, "explanation": "Clarence kept 60% of his money; Declan kept 75% of his. These remaining amounts are equal: 0.6 × Clarence = 0.75 × Declan, so Clarence : Declan = 0.75 : 0.6 = 5 : 4. Total parts = 5 + 4 = 9 = $4500, so 1 part = $500. Declan = 4 parts = $2000.", "hints": ["Clarence keeps 60%, Declan keeps 75%; set the leftover amounts equal.", "This gives Clarence : Declan = 5 : 4; split $4500 in this ratio."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: $2000. Blank holds 2000; '$' is fixed text in stem." }, { "n": 12, "type_id": 0, "question": "Larry stacked 9 cubes to form a solid. Draw the front view and the top view of the solid on the grids.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 188, "difficulty_id": 2, "explanation": "This is a draw-on-grid task with no single numeric/text answer, so it cannot be served as MCQ or FIB. The answer key shows the required Front View and Top View shaded-grid drawings of the 9-cube solid.", "hints": [], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 7, "image_bbox": [0.27, 0.42, 0.62, 0.60], "notes": "Interactive draw-the-view task — type_id 0, skipped on insert. Figure = isometric drawing of the 9-cube solid with Top/Front/Side view arrows. Answer key (pg 11) shows the front-view and top-view shaded grids." }, { "n": 13, "type_id": 2, "question": "Mr Lim spent $54 on chicken, eggs and fish. The cost of chicken was 35% of the total cost of all items. The cost of fish was 40% of the total cost of all items. How much more money did Mr Lim spend on fish than on eggs?
$[?]", "answer0": "8.10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 175, "difficulty_id": 3, "explanation": "Chicken = 35% and fish = 40%, so eggs = 100% − 35% − 40% = 25% of the total. Fish is (40% − 25%) = 15% of the total more than eggs. 15% of $54 = \\(\\dfrac{15}{100}\\times 54 = \\$8.10\\).", "hints": ["Find the percentage spent on eggs: 100% − 35% − 40%.", "The difference fish − eggs is 15% of $54."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: $8.10. Blank holds 8.10; '$' is fixed text in stem." }, { "n": 14, "type_id": 2, "question": "Winnie paid $24.50 for 3 large bottles and 5 small bottles. With the remaining money, she could not buy another large bottle as she was short of $0.90. She then bought another small bottle and had $1.40 left. How much money did Winnie have at first?
$[?]", "answer0": "28.10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "Let large bottle = L, small bottle = S. After buying 3L + 5S she had some money left, R. She was $0.90 short of a large bottle, so L = R + 0.90. She then bought 1 small bottle and had $1.40 left, so R − S = 1.40, i.e. R = S + 1.40. Also 3L + 5S = 24.50. From L = R + 0.90 = S + 2.30, substitute: 3(S + 2.30) + 5S = 24.50 → 8S + 6.90 = 24.50 → 8S = 17.60 → S = 2.20, so L = 4.50 and R = S + 1.40 = 3.60. Money at first = amount paid + money left = 24.50 + 3.60 = $28.10.", "hints": ["Let the leftover after the first purchase be R; she was $0.90 short of a large bottle, so a large bottle = R + 0.90.", "Buying one small bottle left $1.40, so R = small + 1.40. Solve with 3 large + 5 small = $24.50; first amount = 24.50 + R."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: $28.10. Blank holds 28.10; '$' is fixed text in stem." }, { "n": 15, "type_id": 2, "question": "Tank A is completely filled with water. The water from Tank A is then poured into Tank B such that the heights of water in both tanks are the same. Find the volume of water poured out of Tank A.
Tank A: 20 cm by 10 cm by 10 cm. Tank B: 30 cm by 10 cm by 10 cm.
[?] cm³", "answer0": "1200", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 193, "difficulty_id": 3, "explanation": "Tank A is filled with water of volume 20 × 10 × 10 = 2000 cm³. When poured between the two tanks so the water heights are equal, the water settles to a common height. Combined base area = (20×10) + (30×10) = 200 + 300 = 500 cm². Common height = 2000 ÷ 500 = 4 cm. Water remaining in Tank A = 200 × 4 = 800 cm³, so water poured out of Tank A into Tank B = 2000 − 800 = 1200 cm³.", "hints": ["Find the volume of water in Tank A first (it is full): 20 × 10 × 10.", "Equal heights means total volume spreads over both base areas; common height = total volume ÷ (base A + base B). Poured out = volume in A − base A × common height."], "source": "Maris Stella 2023 P5 Weighted Assessment 3 Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 10, "image_bbox": [0.13, 0.18, 0.73, 0.39], "notes": "Answer key: 1200 cm³. Dimensions inlined into stem. Figure = two cuboid tanks (Tank A 20×10×10, Tank B 30 long × 10 × 10). Unit 'cm³' is fixed text; blank holds 1200." } ] }