{ "paper": { "school": "Red Swastika", "year": 2022, "level": "P3", "label": "Semestral Assessment 2", "source_prefix": "Red Swastika 2022 P3 Semestral Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "Which digit in 9876 is in the thousands place?", "answer0": "6", "answer1": "7", "answer2": "8", "answer3": "9", "correct_answer": 3, "skill_id": 66, "difficulty_id": 1, "explanation": "In 9876, the digits from right to left are ones (6), tens (7), hundreds (8), thousands (9). So the thousands digit is 9.", "hints": ["Read place values from the right: ones, tens, hundreds, thousands.", "The leftmost digit of a 4-digit number is the thousands digit."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q1 = 4 (option 4 = 9)." }, { "n": 2, "type_id": 1, "question": "Which of the following is the same as 5021?", "answer0": "50 + 20 + 1", "answer1": "500 + 20 + 1", "answer2": "5000 + 20 + 1", "answer3": "5000 + 200 + 1", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "5021 = 5 thousands + 0 hundreds + 2 tens + 1 one = 5000 + 20 + 1.", "hints": ["Break the number into thousands, hundreds, tens and ones.", "There are no hundreds in 5021."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q2 = 3 (option 3 = 5000 + 20 + 1)." }, { "n": 3, "type_id": 1, "question": "In the number line, what is the value of X?", "answer0": "1022", "answer1": "1024", "answer2": "1030", "answer3": "1040", "correct_answer": 1, "skill_id": 69, "difficulty_id": 2, "explanation": "From 1010 to 1020 there are 5 equal intervals, so each interval is 2. X is 2 intervals past 1020, so X = 1020 + 4 = 1024.", "hints": ["Find the size of one interval using the marked numbers 1010 and 1020.", "Count the intervals from 1020 to X."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q3", "image_needed": true, "image_page": 3, "image_loc": "middle of page, number line below the question stem", "image_options": false, "image_file": "q3.png", "notes": "Key Q3 = 2 (option 2 = 1024). Number line figure required." }, { "n": 4, "type_id": 1, "question": "Which of the following is an odd number?", "answer0": "2641", "answer1": "3156", "answer2": "5792", "answer3": "6394", "correct_answer": 0, "skill_id": 33, "difficulty_id": 1, "explanation": "An odd number ends in 1, 3, 5, 7 or 9. Only 2641 ends in 1, so it is odd.", "hints": ["Look only at the ones digit.", "Odd numbers end in 1, 3, 5, 7 or 9."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q4 = 1 (option 1 = 2641). Odd/even is a P2 carry-over skill (33)." }, { "n": 5, "type_id": 1, "question": "Find the value of 1000 - 89.", "answer0": "911", "answer1": "989", "answer2": "1089", "answer3": "1911", "correct_answer": 0, "skill_id": 70, "difficulty_id": 1, "explanation": "1000 - 89 = 911.", "hints": ["Subtract 89 from 1000.", "1000 - 90 = 910, then add 1 back."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q5 = 1 (option 1 = 911)." }, { "n": 6, "type_id": 1, "question": "What is the missing number in the number pattern?\n82, 70, 58, 46, ?, 22", "answer0": "12", "answer1": "14", "answer2": "34", "answer3": "44", "correct_answer": 2, "skill_id": 69, "difficulty_id": 1, "explanation": "The pattern decreases by 12 each time: 82, 70, 58, 46, 34, 22. So the missing number is 34.", "hints": ["Find the difference between consecutive numbers.", "46 - 12 = 34."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q6 = 3 (option 3 = 34). Pattern table transcribed inline as text." }, { "n": 7, "type_id": 1, "question": "Which of the following is the smallest number that can be divided by 5 with no remainder?", "answer0": "5503", "answer1": "3530", "answer2": "3350", "answer3": "2051", "correct_answer": 2, "skill_id": 73, "difficulty_id": 2, "explanation": "A number divides by 5 with no remainder if it ends in 0 or 5. The numbers ending in 0 or 5 are 3530 and 3350. The smaller is 3350.", "hints": ["A multiple of 5 ends in 0 or 5.", "Among the qualifying numbers, choose the smallest."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q7 = 3 (option 3 = 3350)." }, { "n": 8, "type_id": 1, "question": "The diagram shows Jimmy's bookshelf. Which of the following could be the height of Jimmy's bookshelf?", "answer0": "1 cm", "answer1": "5 cm", "answer2": "1 m", "answer3": "5 m", "correct_answer": 2, "skill_id": 84, "difficulty_id": 1, "explanation": "A bookshelf roughly as tall as a child is about 1 m. 1 cm and 5 cm are far too small; 5 m is much too tall.", "hints": ["Compare the bookshelf to the height of the child standing next to it.", "Choose a sensible real-life measurement."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q8", "image_needed": true, "image_page": 4, "image_loc": "right of the question, bookshelf with a child and 'height' arrow", "image_options": false, "image_file": "q8.png", "notes": "Key Q8 = 3 (option 3 = 1 m). Figure of bookshelf + child needed for the height comparison." }, { "n": 9, "type_id": 1, "question": "Express 135 minutes in hours and minutes.", "answer0": "1 h 35 min", "answer1": "2 h 15 min", "answer2": "2 h 25 min", "answer3": "3 h 15 min", "correct_answer": 1, "skill_id": 91, "difficulty_id": 1, "explanation": "135 minutes = 120 minutes + 15 minutes = 2 h 15 min.", "hints": ["1 hour = 60 minutes.", "135 = 60 + 60 + 15."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q9 = 2 (option 2 = 2 h 15 min)." }, { "n": 10, "type_id": 1, "question": "Find the perimeter of the rectangle.", "answer0": "17 cm", "answer1": "34 cm", "answer2": "64 cm", "answer3": "72 cm", "correct_answer": 1, "skill_id": 96, "difficulty_id": 1, "explanation": "Perimeter = 2 x (length + breadth) = 2 x (9 + 8) = 2 x 17 = 34 cm.", "hints": ["Perimeter is the total distance around the rectangle.", "Add all four sides: 9 + 8 + 9 + 8."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q10", "image_needed": true, "image_page": 4, "image_loc": "bottom of page, rectangle labelled 9 cm (top) and 8 cm (right)", "image_options": false, "image_file": "q10.png", "notes": "Key Q10 = 2 (option 2 = 34 cm). Rectangle figure with side labels needed." }, { "n": 11, "type_id": 1, "question": "Which of the letters contains both parallel and perpendicular lines?", "answer0": "T", "answer1": "E", "answer2": "A", "answer3": "M", "correct_answer": 1, "skill_id": 100, "difficulty_id": 2, "explanation": "Letter E has three horizontal lines that are parallel to one another and a vertical line that is perpendicular to all three. T has only one perpendicular pair (no parallel lines), A and M have no parallel-and-perpendicular combination.", "hints": ["Parallel lines never meet; perpendicular lines meet at a right angle.", "Look for a letter with both a parallel pair and a right-angle pair."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q11", "image_needed": true, "image_page": 5, "image_loc": "top of page, letters T E A M drawn on a square grid", "image_options": false, "image_file": "q11.png", "notes": "Key Q11 = 2 (option 2 = E). Grid image of letters needed; options are letter labels (text)." }, { "n": 12, "type_id": 1, "question": "Which of the following fractions is closest to 1/2?", "answer0": "1/8", "answer1": "2/8", "answer2": "3/8", "answer3": "6/8", "correct_answer": 2, "skill_id": 79, "difficulty_id": 2, "explanation": "1/2 = 4/8. The distances from 4/8 are: 1/8 -> 3/8, 2/8 -> 2/8, 3/8 -> 1/8, 6/8 -> 2/8. The smallest distance is for 3/8.", "hints": ["Write 1/2 as eighths: 1/2 = 4/8.", "Compare how far each option is from 4/8."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q12 = 3 (option 3 = 3/8). Fractions transcribed as a/b text." }, { "n": 13, "type_id": 1, "question": "Mother cut a pizza into four equal pieces. She then cut one of the four pieces equally and gave one smaller piece to each of her two children. What fraction of the pizza did each child get?", "answer0": "1/2", "answer1": "1/4", "answer2": "1/5", "answer3": "1/8", "correct_answer": 3, "skill_id": 77, "difficulty_id": 2, "explanation": "Each of the 4 pieces is 1/4 of the pizza. One quarter cut equally into 2 gives pieces of 1/4 div 2 = 1/8. So each child got 1/8.", "hints": ["Each of the four equal pieces is 1/4 of the whole pizza.", "Cutting one quarter into two equal smaller pieces halves it: 1/4 div 2 = 1/8."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q13", "image_needed": true, "image_page": 5, "image_loc": "right of the question, pizza cut into quarters with one quarter split", "image_options": false, "image_file": "q13.png", "notes": "Key Q13 = 4 (option 4 = 1/8). Pizza diagram present (illustrative)." }, { "n": 14, "type_id": 1, "question": "Penny bought 6 pears. How much did Penny spend?", "answer0": "$2.00", "answer1": "$3.00", "answer2": "$4.50", "answer3": "$9.00", "correct_answer": 2, "skill_id": 83, "difficulty_id": 2, "explanation": "Pears are 2 for $1.50. 6 pears = 3 groups of 2, so 3 x $1.50 = $4.50.", "hints": ["Pears cost $1.50 for every 2 pears.", "6 pears is 3 sets of 2 pears."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q14", "image_needed": true, "image_page": 6, "image_loc": "top of page, price table: pears '2 for $1.50' and apples '3 for $1'", "image_options": false, "image_file": "q14.png", "notes": "Key Q14 = 3 (option 3 = $4.50). Shared price-table figure for Q14 and Q15." }, { "n": 15, "type_id": 1, "question": "Mrs Sim bought 4 pears and 9 apples. How much did Mrs Sim pay for the fruits?", "answer0": "$2.50", "answer1": "$6.00", "answer2": "$7.50", "answer3": "$15.00", "correct_answer": 0, "skill_id": 83, "difficulty_id": 2, "explanation": "Pears 2 for $1.50: 4 pears = 2 x $1.50 = $3.00. Apples 3 for $1: 9 apples = 3 x $1 = $3.00. Total = $3.00 + $3.00 = $6.00.", "hints": ["4 pears cost 2 sets of '2 for $1.50'.", "9 apples cost 3 sets of '3 for $1'."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q15", "image_needed": true, "image_page": 6, "image_loc": "top of page, price table: pears '2 for $1.50' and apples '3 for $1'", "image_options": false, "image_file": "q15.png", "notes": "Key Q15 = 2. Worked answer ($3.00 pears + $3.00 apples = $6.00) matches option 2 = $6.00; correct_answer index 1. Shared price-table figure with Q14." }, { "n": 16, "type_id": 1, "question": "75 children wanted to take a boat ride at the River Safari together. Each boat can carry at most 6 children. What is the least number of boats needed for the 75 children?", "answer0": "12", "answer1": "13", "answer2": "14", "answer3": "15", "correct_answer": 1, "skill_id": 74, "difficulty_id": 2, "explanation": "75 div 6 = 12 remainder 3. The 12 boats carry 72 children; the remaining 3 children need 1 more boat, so 13 boats are needed.", "hints": ["Divide 75 by 6 and look at the remainder.", "Any leftover children still need a whole extra boat."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q16 = 2 (option 2 = 13). Division with remainder, round up." }, { "n": 17, "type_id": 1, "question": "Danny and William collected 60 stickers altogether. William collected 10 stickers more than Danny. How many stickers did Danny collect?", "answer0": "25", "answer1": "30", "answer2": "35", "answer3": "50", "correct_answer": 0, "skill_id": 76, "difficulty_id": 2, "explanation": "Remove William's extra 10: 60 - 10 = 50, shared equally between the two boys gives 50 div 2 = 25 for Danny.", "hints": ["Subtract the extra 10 from the total first.", "Then split the remainder equally between the two boys."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q17 = 1 (option 1 = 25)." }, { "n": 18, "type_id": 1, "question": "Two numbers, P and Q add up to 200. P is a 2-digit number while Q is a 3-digit number. What is the smallest possible value of Q?", "answer0": "100", "answer1": "101", "answer2": "110", "answer3": "190", "correct_answer": 1, "skill_id": 71, "difficulty_id": 3, "explanation": "Q is smallest when P is largest. The largest 2-digit number is 99, so the smallest 3-digit Q is 200 - 99 = 101.", "hints": ["To make Q small, make P as large as possible.", "The largest 2-digit number is 99."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q18 = 2 (option 2 = 101)." }, { "n": 19, "type_id": 1, "question": "A bag of sugar weighs 2 kg. It is repacked equally into 4 bags. What is the mass of each bag of sugar in grams?", "answer0": "25 g", "answer1": "50 g", "answer2": "250 g", "answer3": "500 g", "correct_answer": 3, "skill_id": 86, "difficulty_id": 2, "explanation": "2 kg = 2000 g. Repacked into 4 equal bags: 2000 div 4 = 500 g each.", "hints": ["First convert 2 kg to grams: 1 kg = 1000 g.", "Then divide by 4."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q19 = 4 (option 4 = 500 g). Mass conversion + division." }, { "n": 20, "type_id": 1, "question": "A repeated pattern is formed using the numbers 1 and 0. The first 12 numbers are shown.\n1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, ...\nWhat is the sum of the first 50 numbers?", "answer0": "5", "answer1": "25", "answer2": "30", "answer3": "50", "correct_answer": 2, "skill_id": 69, "difficulty_id": 3, "explanation": "The pattern repeats in blocks of 5: 1,1,0,1,0 with a sum of 3. 50 numbers = 10 complete blocks, so the sum = 10 x 3 = 30.", "hints": ["Find the repeating block and its length.", "Each block of 5 sums to 3; count how many blocks fit in 50."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q20", "image_needed": true, "image_page": 7, "image_loc": "middle of page, strip of cells showing 1 1 0 1 0 1 1 0 1 0 1 1 with 1st and 12th labelled", "image_options": false, "image_file": "q20.png", "notes": "Key Q20 = 3 (option 3 = 30). Sequence transcribed inline; strip figure optional." }, { "n": 21, "type_id": 2, "question": "Write the number that is represented by the diagram.", "answer0": "8008", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 66, "difficulty_id": 1, "explanation": "There are 8 thousand-discs (8 x 1000 = 8000) and 8 one-discs (8 x 1 = 8), giving 8000 + 8 = 8008.", "hints": ["Count the '1000' discs and the '1' discs separately.", "Add the thousands value to the ones value."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q21", "image_needed": true, "image_page": 9, "image_loc": "upper area, eight discs labelled 1000 (left, in 4 rows of 2) and eight discs labelled 1 (right, in 4 rows of 2)", "image_options": false, "image_file": "q21.png", "notes": "Key Q21 = 8008. Place-value disc diagram required (count: 8 thousands, 8 ones)." }, { "n": 22, "type_id": 2, "question": "Find the product of 312 and 6.", "answer0": "1872", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 1, "explanation": "312 x 6 = 1872.", "hints": ["'Product' means multiply.", "Multiply 312 by 6."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q22 = 1872." }, { "n": 23, "type_id": 2, "question": "Find the value of 4256 + 3352.", "answer0": "7608", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 70, "difficulty_id": 1, "explanation": "4256 + 3352 = 7608.", "hints": ["Add the numbers column by column.", "Remember to carry over when a column exceeds 9."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q23 = 7608." }, { "n": 24, "type_id": 1, "question": "There are only ___ angles found in the figure.", "answer0": "acute", "answer1": "right", "answer2": "obtuse", "answer3": "straight", "correct_answer": 2, "skill_id": 99, "difficulty_id": 2, "explanation": "A regular octagon's interior angles are each 135 degrees, which is greater than a right angle (90 degrees) and less than a straight angle, so all are obtuse.", "hints": ["Compare each interior angle of the shape to a right angle (90 degrees).", "An angle larger than a right angle but smaller than a straight line is obtuse."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q24", "image_needed": true, "image_page": 10, "image_loc": "upper area, a regular octagon", "image_options": false, "image_file": "q24.png", "notes": "Key Q24 = Obtuse. Original is a 'circle the correct word (acute/right/obtuse)' task; converted to MCQ per word-answer rule. Octagon figure needed." }, { "n": 25, "type_id": 1, "question": "Based on the bar graph, which statement is correct?", "answer0": "There was 1 more student who borrowed 4 books than those who borrowed 2 books, and eight students borrowed 3 books.", "answer1": "There was 1 more student who borrowed 4 books than those who borrowed 2 books (true); eight students borrowed 3 books (false).", "answer2": "Statement 1 is False and Statement 2 is True.", "answer3": "Both statements are True.", "correct_answer": 2, "skill_id": 102, "difficulty_id": 3, "explanation": "Bars: 0 books = 5, 1 book = 4, 2 books = 12, 4 books = 11 students. Statement 1 ('1 more borrowed 4 than 2') is False because 11 < 12. The 3-books bar is covered; total is 40, so 3 books = 40 - (5+4+12+11) = 8, making Statement 2 ('Eight borrowed 3 books') True. Answer key: False, True.", "hints": ["Read each bar height; the 3-books bar is hidden by ink so use the total of 40.", "Statement 2: 40 minus all the visible bars gives the number who borrowed 3 books."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q25", "image_needed": true, "image_page": 10, "image_loc": "middle of page, bar graph 'Number of books borrowed by the students in Class 3K' with an ink blot over the 3-books bar", "image_options": false, "image_file": "q25.png", "notes": "Key Q25 = False, True (two true/false statements). Original is a tick True/False table; the only definite answer is the pair (S1=False, S2=True). Modelled as MCQ selecting the correct True/False pairing -> option index 2. Bar graph figure required." }, { "n": 26, "type_id": 2, "question": "Use all the digits 1, 5, 6 and 9 to form the smallest number between 5000 and 6000.", "answer0": "5169", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 68, "difficulty_id": 2, "explanation": "Between 5000 and 6000 the thousands digit must be 5. Arrange the remaining digits 1, 6, 9 in ascending order: 1, 6, 9. So the smallest number is 5169.", "hints": ["For the number to be between 5000 and 6000, the first digit must be 5.", "Put the remaining digits in increasing order after the 5."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q26 = 5169." }, { "n": 27, "type_id": 2, "question": "Write the greatest 4-digit even number.", "answer0": "9998", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 67, "difficulty_id": 1, "explanation": "The greatest 4-digit number is 9999, but it is odd. The greatest 4-digit even number ends in an even digit, so 9998.", "hints": ["The biggest 4-digit number is 9999.", "An even number must end in 0, 2, 4, 6 or 8."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q27", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q27 = 9998." }, { "n": 28, "type_id": 2, "question": "Becky buys 6 bags of balloons for a party. There are 40 balloons in a bag. How many bunches of balloons does she get if she ties 3 balloons in a bunch?", "answer0": "80", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Total balloons = 6 x 40 = 240. Bunches = 240 div 3 = 80.", "hints": ["First find the total number of balloons: 6 bags x 40.", "Then divide the total by 3 balloons per bunch."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q28", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q28 = 80. Balloon picture is decorative only; no count needed from it." }, { "n": 29, "type_id": 2, "question": "Jamie bought a laptop during a sale. The cost of the laptop before the sale was $1699. How much change did Jamie receive if she paid the cashier $1500?", "answer0": "1", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "The laptop is $200 cheaper in the sale: $1699 - $200 = $1499. Change = $1500 - $1499 = $1.", "hints": ["The picture shows the laptop is $200 cheaper during the sale.", "Find the sale price first, then subtract it from $1500."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q29", "image_needed": true, "image_page": 12, "image_loc": "right of the question, laptop graphic with 'sale' and '$200 cheaper!' label", "image_options": false, "image_file": "q29.png", "notes": "Key Q29 = $1. The '$200 cheaper' discount is shown only in the figure, so the image is required to solve. Answer stored as 1 (dollars); answer line printed 'Ans: $'." }, { "n": 30, "type_id": 2, "question": "Daphne exchanged $5 for 10 coins. All the coins had the same value. What was the value of each coin in cents?", "answer0": "50", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "$5 = 500 cents. 500 cents div 10 coins = 50 cents per coin.", "hints": ["Convert $5 to cents: $1 = 100 cents.", "Divide the total cents by the number of coins."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q30", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q30 = 50 cents. Answer stored as 50 (cents); answer line printed with a cents symbol." }, { "n": 31, "type_id": 2, "question": "The length of one piece of rope is 78 cm. What is the length of 8 such ropes? Give your answer in m and cm.\n[?] m [?] cm", "answer0": "6", "answer1": "24", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 2, "explanation": "78 cm x 8 = 624 cm. 624 cm = 6 m 24 cm (since 100 cm = 1 m).", "hints": ["Multiply 78 cm by 8.", "Convert the total centimetres to metres and centimetres (100 cm = 1 m)."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q31", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q31 = 6 m 24 cm. Two-blank answer (m, cm). Rope picture is decorative only." }, { "n": 32, "type_id": 2, "question": "The shopkeeper sold [?] more apples than oranges.", "answer0": "12", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "From Graph 1 (sold), apples = 28 and oranges = 16. Difference = 28 - 16 = 12 more apples than oranges.", "hints": ["Read the apples bar and the oranges bar from Graph 1 (fruits sold).", "Subtract the oranges sold from the apples sold."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q32", "image_needed": true, "image_page": 13, "image_loc": "upper area, two horizontal bar graphs: Graph 1 'Number of fruits sold' and Graph 2 'Number of fruits left unsold' (Pears/Oranges/Apples)", "image_options": false, "image_file": "q32.png", "notes": "Key Q32 = 12. Reads from Graph 1; figure required. Shared two-graph figure with Q33." }, { "n": 33, "type_id": 2, "question": "The shopkeeper had a total of [?] pears at the store at first.", "answer0": "26", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "Pears at first = pears sold (Graph 1) + pears left unsold (Graph 2) = 22 + 4 = 26.", "hints": ["Pears at first = pears sold + pears left unsold.", "Read the Pears bar from both Graph 1 and Graph 2 and add them."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q33", "image_needed": true, "image_page": 13, "image_loc": "upper area, two horizontal bar graphs: Graph 1 'Number of fruits sold' and Graph 2 'Number of fruits left unsold' (Pears/Oranges/Apples)", "image_options": false, "image_file": "q33.png", "notes": "Key Q33 = 26. Adds Pears from both graphs; figure required. Shared two-graph figure with Q32." }, { "n": 34, "type_id": 2, "question": "Ling wrote 3 compositions in 2 hours. She took the same amount of time to write the first 2 compositions but took 30 minutes longer to write the third composition than the first. How many minutes did she take to write the first composition?", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 93, "difficulty_id": 3, "explanation": "2 hours = 120 minutes. The first two compositions take the same time (call it t each); the third takes t + 30. So t + t + (t + 30) = 120, giving 3t + 30 = 120, 3t = 90, t = 30 minutes.", "hints": ["Convert 2 hours to minutes first.", "Let the first composition take t minutes; the second is also t and the third is t + 30. Add them to 120."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q34", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q34 = 30 mins. Answer stored as 30 (minutes)." }, { "n": 35, "type_id": 2, "question": "A bottle can hold 1050 ml of water. A cup can hold 900 ml less water than the bottle. How much water can the cup hold?", "answer0": "150", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 1, "explanation": "Cup = bottle - 900 ml = 1050 ml - 900 ml = 150 ml.", "hints": ["'900 ml less' means subtract 900 from the bottle's volume.", "1050 - 900 = 150."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q35", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q35 = 150 ml. Answer stored as 150 (ml)." }, { "n": 36, "type_id": 2, "question": "Figure A is a 4-sided figure with 4 equal sides. Figure B is formed by putting two of Figure A together. Find the perimeter of Figure B.", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 3, "explanation": "Figure A is a rhombus with side 5 cm. Joining two along one full side: total side count is 8, but the shared side (5 + 5) is internal and not part of the perimeter. Perimeter of B = 8 x 5 - 2 x 5 = 40 - 10 = 30 cm.", "hints": ["Figure A has 4 sides each 5 cm.", "When the two figures are joined edge to edge, the joined edges are inside and not counted."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q36", "image_needed": true, "image_page": 14, "image_loc": "lower area, Figure A (a rhombus with side labelled 5 cm) and Figure B (two rhombuses joined)", "image_options": false, "image_file": "q36.png", "notes": "Key Q36 = 30 cm. Answer stored as 30 (cm). Figure of rhombus A and joined B needed." }, { "n": 37, "type_id": 0, "question": "By joining dots on the grid with 2 straight lines, draw a triangle with one obtuse angle and two acute angles in the space.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 99, "difficulty_id": 2, "explanation": "Draw a triangle on the dot grid (one side is already drawn) with one obtuse angle (greater than a right angle) and two acute angles (each smaller than a right angle).", "hints": ["An obtuse angle is larger than a right angle.", "Use the existing line as one side and add two lines to form a flat, wide triangle."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q37", "image_needed": true, "image_page": 15, "image_loc": "top of page, dot grid with a horizontal line segment near the bottom", "image_options": false, "image_file": "q37.png", "notes": "Interactive draw-on-grid task; type_id 0 (skipped on insert). Answer key shows a sample obtuse triangle drawn. Dot-grid figure needed." }, { "n": 38, "type_id": 2, "question": "In the number line, A represents 4/9, C represents 2/3 and B is exactly between A and C. What fraction does B represent?", "answer0": "5/9", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 3, "explanation": "Write both as ninths: A = 4/9, C = 2/3 = 6/9. B is exactly halfway between 4/9 and 6/9, which is 5/9.", "hints": ["Express 2/3 with denominator 9.", "The midpoint between 4/9 and 6/9 is the value halfway between them."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q38", "image_needed": true, "image_page": 15, "image_loc": "middle of page, number line with points A, B, C labelled (A = 4/9, C = 2/3)", "image_options": false, "image_file": "q38.png", "notes": "Key Q38 = 5/9. Number-line figure with A/B/C present (illustrative; values given in stem)." }, { "n": 39, "type_id": 2, "question": "Find the difference between the smallest and greatest fractions.\n3/4, 1/2, 7/8", "answer0": "3/8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 3, "explanation": "Convert to eighths: 3/4 = 6/8, 1/2 = 4/8, 7/8 = 7/8. Smallest = 4/8, greatest = 7/8. Difference = 7/8 - 4/8 = 3/8.", "hints": ["Give all three fractions the same denominator (8).", "Subtract the smallest from the greatest."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q39", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q39 = 3/8. Fractions transcribed inline as a/b." }, { "n": 40, "type_id": 2, "question": "Mother bought a pizza and sliced it into 12 equal pieces for a party. Iris took 3 pieces of the pizza. What fraction of the pizza did Iris take? Express your answer as a fraction in its simplest form.", "answer0": "1/4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 78, "difficulty_id": 2, "explanation": "Iris took 3 out of 12 pieces = 3/12. Simplify by dividing top and bottom by 3: 3/12 = 1/4.", "hints": ["Write the fraction as pieces taken over total pieces: 3/12.", "Simplify by dividing both numbers by their common factor."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q40", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q40 = 1/4." }, { "n": 41, "type_id": 2, "question": "There were 68 tables and 3 times as many chairs in a storeroom.\n(a) How many chairs were there in the storeroom?\n(b) How many tables and chairs were there altogether?\n[?] chairs, [?] altogether", "answer0": "204", "answer1": "272", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "(a) Chairs = 3 x 68 = 204. (b) Tables + chairs = 68 + 204 = 272.", "hints": ["'3 times as many' means multiply 68 by 3 for the chairs.", "Add the tables and chairs together for part (b)."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q41", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part question -> two blanks (a)=204, (b)=272. Answer key shows (a) 3x68=204 and (b) 4x68=272 (key wrote '274' but 4x68=272 and 68+204=272; transcription error in key, correct value is 272)." }, { "n": 42, "type_id": 2, "question": "Ben and Jerry bought some egg tarts from a bakery. Ben bought 6 more egg tarts and paid $12 more than Jerry. How many egg tarts did Jerry buy if he paid a total of $98?", "answer0": "49", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "6 more egg tarts cost $12, so each egg tart costs $12 div 6 = $2. Jerry paid $98, so Jerry bought $98 div $2 = 49 egg tarts.", "hints": ["The extra 6 egg tarts account for the extra $12 - find the price of one egg tart.", "Divide Jerry's total payment by the price of one egg tart."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q42", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q42 = 49 (key working: 12 div 6 = 2; 98 div 2 = 49)." }, { "n": 43, "type_id": 2, "question": "The figure shows the opening hours of a dental clinic.\nMorning 8.00 a.m. to 12.00 p.m., Afternoon 1.30 p.m. to 5.00 p.m., Evening 7.30 p.m. to 9.30 p.m.\n(a) How long is the dental clinic open in the afternoon?\n(b) Nikki visited the dentist last evening. She spent 1 h 15 min in the clinic and left the clinic at 9.30 p.m. What time did she reach the clinic?\n[?] (afternoon duration), [?] (arrival time)", "answer0": "3 h 30 min", "answer1": "8.15 p.m.", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 92, "difficulty_id": 2, "explanation": "(a) Afternoon: 1.30 p.m. to 5.00 p.m. is 3 h 30 min. (b) She left at 9.30 p.m. after 1 h 15 min, so she arrived 9.30 - 1 h 15 min = 8.15 p.m.", "hints": ["(a) Count the time from 1.30 p.m. to 5.00 p.m.", "(b) Work backwards from 9.30 p.m. by 1 h 15 min."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q43", "image_needed": true, "image_page": 19, "image_loc": "upper area, dental clinic sign with 'Opening hours' table (Morning/Afternoon/Evening)", "image_options": false, "image_file": "q43.png", "notes": "Two-part: (a) 3 h 30 min, (b) 8.15 p.m. Opening-hours table is in the figure but the times are also transcribed in the stem; figure recorded." }, { "n": 44, "type_id": 2, "question": "Jack and Ken have some toy cars. After Jack gives 20 toy cars to Ken, he has 23 toy cars more than Ken. How many more toy cars does Jack have than Ken at first?", "answer0": "63", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 3, "explanation": "Giving away 20 cars changes the gap by 2 x 20 = 40 (Jack loses 20, Ken gains 20). After giving, Jack leads by 23, so at first the lead was 23 + 40 = 63 more cars.", "hints": ["Giving 20 cars away reduces Jack's lead by 20 and increases Ken's count by 20 (a swing of 40).", "Add that swing back to the final difference: 20 + 20 + 23."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q44", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q44 = 63 (key working: 20 + 20 + 23 = 63)." }, { "n": 45, "type_id": 2, "question": "Figure 1 shows a square divided into two smaller squares W and Y and two rectangles X and Z. The length of Square W is 7 cm and the length of Square Y is 4 cm.\n(a) What is the area of Rectangle Z?\n(b) What is the perimeter of Figure 1?\n[?] (area of Z in cm2), [?] (perimeter in cm)", "answer0": "28", "answer1": "44", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 3, "explanation": "The big square has side W + Y = 7 + 4 = 11 cm. Rectangle Z is below W: width 7 cm (from W) and height 4 cm (from Y), so area Z = 7 x 4 = 28 cm2. Perimeter of the big square = 4 x 11 = 44 cm.", "hints": ["The side of the whole square is 7 cm + 4 cm = 11 cm.", "(a) Rectangle Z is 7 cm by 4 cm. (b) Perimeter of a square = 4 x side."], "source": "Red Swastika 2022 P3 Semestral Assessment 2 Q45", "image_needed": true, "image_page": 21, "image_loc": "upper-middle, Figure 1: large square split into W, X (top) and Z, Y (bottom), with 7 cm across top and 4 cm on right", "image_options": false, "image_file": "q45.png", "notes": "Two-part: (a) 28 cm2, (b) 44 cm. Answer stored as 28 (cm2) and 44 (cm). Figure 1 diagram required." } ] }