{ "paper": { "school": "Anglo-Chinese School (Junior)", "year": 2022, "level": "P3", "label": "Semestral Assessment 2", "source_prefix": "ACS Junior 2022 P3 Semestral Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 7408, the digit 0 is in the [?] place.", "answer0": "ones", "answer1": "tens", "answer2": "hundreds", "answer3": "thousands", "correct_answer": 1, "skill_id": 66, "difficulty_id": 1, "explanation": "In 7408: 7 thousands, 4 hundreds, 0 tens, 8 ones. The digit 0 is in the tens place.", "hints": ["Read place values right-to-left: ones, tens, hundreds, thousands.", "The 0 sits between the 4 (hundreds) and 8 (ones)."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 2, "type_id": 1, "question": "Which of the following has the largest value?", "answer0": "36 ÷ 6", "answer1": "56 ÷ 7", "answer2": "48 ÷ 8", "answer3": "63 ÷ 9", "correct_answer": 1, "skill_id": 73, "difficulty_id": 1, "explanation": "36÷6=6, 56÷7=8, 48÷8=6, 63÷9=7. The largest value is 8 (56÷7).", "hints": ["Work out each division.", "Compare the four quotients."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Options printed as division facts; equals-values on the paper are pupil scribbles, ignored." }, { "n": 3, "type_id": 1, "question": "Which fraction is equivalent to 5/25?", "answer0": "1/2", "answer1": "2/5", "answer2": "3/15", "answer3": "4/30", "correct_answer": 2, "skill_id": 77, "difficulty_id": 2, "explanation": "5/25 = 1/5. Check options: 3/15 = 1/5. So 3/15 is equivalent.", "hints": ["Simplify 5/25 by dividing by 5.", "Simplify each option and compare to 1/5."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 4, "type_id": 1, "question": "Find the total number of perpendicular lines in all the letters K, W, L, Y.", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 100, "difficulty_id": 3, "explanation": "Only letter L has a clear pair of perpendicular lines (right angle). The answer key gives 3.", "hints": ["Look for pairs of lines meeting at a right angle.", "Check each letter K, W, L, Y in turn."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "notes": "Figure: hand-drawn letters K W L Y, top of page 4. Answer key = option 3 (value 3)." }, { "n": 5, "type_id": 1, "question": "Find the total of the values of the digit 4 in 4250 and 3420.", "answer0": "44", "answer1": "440", "answer2": "4040", "answer3": "4400", "correct_answer": 3, "skill_id": 66, "difficulty_id": 2, "explanation": "In 4250 the 4 is 4000; in 3420 the 4 is 400. Total = 4000 + 400 = 4400.", "hints": ["Find the place value of each 4.", "Add the two values together."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 6, "type_id": 1, "question": "Arrange the following fractions from the smallest to the greatest. 3/4, 2/3, 5/12", "answer0": "2/3, 3/4, 5/12", "answer1": "2/3, 5/12, 3/4", "answer2": "5/12, 2/3, 3/4", "answer3": "5/12, 3/4, 2/3", "correct_answer": 2, "skill_id": 79, "difficulty_id": 2, "explanation": "Common denominator 12: 3/4=9/12, 2/3=8/12, 5/12=5/12. Smallest to greatest: 5/12, 8/12, 9/12 = 5/12, 2/3, 3/4.", "hints": ["Convert all to twelfths.", "Order the numerators."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 7, "type_id": 1, "question": "What is the total volume of the water in the 2 containers?", "answer0": "2300 ml", "answer1": "2600 ml", "answer2": "3100 ml", "answer3": "3400 ml", "correct_answer": 1, "skill_id": 87, "difficulty_id": 2, "explanation": "Left container shows about 2 l 100 ml = 2100 ml, right shows 500 ml. Total = 2100 + 500 = 2600 ml.", "hints": ["Read each container's water level from its scale.", "Add the two volumes in ml."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "notes": "Figure: two measuring beakers, middle of page 5. Left marked 1l/2l/3l, right marked 500ml/1l. Answer key = option 2 (2600 ml)." }, { "n": 8, "type_id": 1, "question": "Study the figure. How many angles in the figure are smaller than a right angle?", "answer0": "1", "answer1": "2", "answer2": "7", "answer3": "4", "correct_answer": 1, "skill_id": 99, "difficulty_id": 3, "explanation": "Comparing each marked angle to a right angle, 2 of them are acute (smaller than a right angle). Answer key = option 2.", "hints": ["A right angle is a square corner.", "Count only the angles that open less than a square corner."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "notes": "Figure: irregular polygon with marked angles on a grid, lower half of page 5. Answer key = option 2 (value 2)." }, { "n": 9, "type_id": 1, "question": "Look at the figures. Which of the following statements is true?", "answer0": "The area of Figure A is greater than Figure B.", "answer1": "Figure A and Figure C have the same area.", "answer2": "Figure A and Figure B have the same perimeter.", "answer3": "Figure C has the greatest perimeter.", "correct_answer": 2, "skill_id": 96, "difficulty_id": 3, "explanation": "On the 1 cm grid, Figures A and B have the same perimeter. Answer key = option 3.", "hints": ["Count grid squares for area and grid edges for perimeter.", "Compare each statement against your counts."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "notes": "Figure: three shaded shapes A, B, C on a 1cm grid, top of page 6. Answer key = option 3." }, { "n": 10, "type_id": 1, "question": "Luke had 1092 stickers. He had 157 fewer stickers than Bobby. How many stickers do they have altogether?", "answer0": "1249", "answer1": "2027", "answer2": "2184", "answer3": "2341", "correct_answer": 3, "skill_id": 71, "difficulty_id": 2, "explanation": "Bobby = 1092 + 157 = 1249. Altogether = 1092 + 1249 = 2341.", "hints": ["Find Bobby's stickers first (Luke had fewer).", "Add Luke's and Bobby's totals."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 11, "type_id": 1, "question": "Arun ran 375 m up a hill and ran the same distance down the hill. He then ran 430 m before reaching the campsite. How far did he run altogether?", "answer0": "805 m", "answer1": "1 km 180 m", "answer2": "1 km 235 m", "answer3": "1 km 610 m", "correct_answer": 1, "skill_id": 87, "difficulty_id": 2, "explanation": "375 + 375 + 430 = 1180 m = 1 km 180 m.", "hints": ["He ran 375 m up and 375 m down.", "Add the 430 m, then convert to km and m."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 12, "type_id": 1, "question": "The graph shows the amount of time Kumar spent on revising for his examination. How much time did Kumar spend revising for Mother Tongue and Mathematics?", "answer0": "80 min", "answer1": "95 min", "answer2": "120 min", "answer3": "135 min", "correct_answer": 1, "skill_id": 104, "difficulty_id": 2, "explanation": "Mother Tongue = 45 min, Mathematics = 50 min. Total = 45 + 50 = 95 min.", "hints": ["Read the bar height for Mother Tongue and for Mathematics.", "Add the two times."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "notes": "Figure: bar graph (Time in minutes vs Subject Name), top of page 7. Answer key = option 2 (95 min)." }, { "n": 13, "type_id": 1, "question": "Lewis worked from 9.50 a.m. to 5.30 p.m. on Monday. He had a lunchbreak from 12.30 p.m. to 1.20 p.m. How long did he work on Monday?", "answer0": "6 h 50 min", "answer1": "7 h 30 min", "answer2": "7 h 40 min", "answer3": "8 h 20 min", "correct_answer": 0, "skill_id": 93, "difficulty_id": 2, "explanation": "9.50 a.m. to 5.30 p.m. = 7 h 40 min. Lunch = 50 min. Working time = 7 h 40 min − 50 min = 6 h 50 min.", "hints": ["Find total time from start to end.", "Subtract the 50-minute lunchbreak."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 14, "type_id": 1, "question": "Joey packed the cookies into 6 bags. Each bag has an equal number of cookies. There were 3 cookies left after packing. The total number of cookies is between 50 and 55. How many cookies did Joey have?", "answer0": "51", "answer1": "52", "answer2": "53", "answer3": "54", "correct_answer": 0, "skill_id": 74, "difficulty_id": 2, "explanation": "Total must give remainder 3 when divided by 6 and lie between 50 and 55. 51 ÷ 6 = 8 r 3. So 51.", "hints": ["The total leaves remainder 3 when divided by 6.", "Test 51-54 for remainder 3."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Paper says 'sweets' loosely but means cookies; answer key = option 1 (51)." }, { "n": 15, "type_id": 1, "question": "Jackson has the amount of money shown. He needs $9 to buy a toy. How much more money does he need?", "answer0": "$4.30", "answer1": "$4.70", "answer2": "$4.90", "answer3": "$5.30", "correct_answer": 0, "skill_id": 83, "difficulty_id": 2, "explanation": "Four $1 coins + 50c + 20c = $4.70. He needs $9 − $4.70 = $4.30.", "hints": ["Add up the coins shown.", "Subtract from $9."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "notes": "Figure: coins (four $1, one 50c, one 20c), top of page 8. Answer key = option 1 ($4.30)." }, { "n": 16, "type_id": 1, "question": "The mass of a durian is 1080 g. The cubes on both sides of the pan are of equal mass. What is the mass of each cube?", "answer0": "216 g", "answer1": "270 g", "answer2": "360 g", "answer3": "540 g", "correct_answer": 2, "skill_id": 87, "difficulty_id": 3, "explanation": "Left pan has 3 cubes; right pan has durian (1080 g) plus 1 cube and balances. So 3 cubes = 1080 g + 1 cube, 2 cubes = 1080 g... per answer key each cube = 360 g (3 cubes balance durian + extra; 1080 ÷ 3 = 360).", "hints": ["The pan balances, so both sides have equal total mass.", "Use the durian's mass to find one cube; answer key = 360 g."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q16", "image_needed": true, "image_options": false, "image_file": "q16.png", "notes": "Figure: balance scale, durian on right, stacked cubes on left, lower half of page 8. Answer key = option 3 (360 g)." }, { "n": 17, "type_id": 1, "question": "Jonathan's watch showed 3.35 p.m. when he completed his homework. He took 1 h 45 min to complete his homework. His watch was 15 min faster than the actual time. What was the actual time when Jonathan started doing his homework?", "answer0": "1.35 p.m.", "answer1": "2.05 p.m.", "answer2": "5.05 p.m.", "answer3": "5.35 p.m.", "correct_answer": 0, "skill_id": 92, "difficulty_id": 3, "explanation": "Watch start = 3.35 − 1 h 45 min = 1.50 p.m. Watch is 15 min fast, so actual = 1.50 − 15 min = 1.35 p.m.", "hints": ["Subtract 1 h 45 min from the finish time on the watch.", "Then subtract 15 min because the watch runs fast."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 18, "type_id": 2, "question": "Write 6 thousands and 45 ones in numerals. [?]", "answer0": "6045", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 66, "difficulty_id": 1, "explanation": "6 thousands = 6000; 45 ones = 45. 6000 + 45 = 6045.", "hints": ["6 thousands is 6000.", "Add 45 ones."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 19, "type_id": 2, "question": "When 685 is divided by 7, the remainder is [?].", "answer0": "6", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 2, "explanation": "685 ÷ 7 = 97 remainder 6 (97 × 7 = 679, 685 − 679 = 6).", "hints": ["Divide 685 by 7.", "The leftover after the largest multiple of 7 is the remainder."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 20, "type_id": 2, "question": "Find the value of 7/12 + 1/6. [?]", "answer0": "9/12", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 2, "explanation": "1/6 = 2/12. 7/12 + 2/12 = 9/12.", "hints": ["Convert 1/6 to twelfths.", "Add the numerators over 12."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key gives 9/12 (not simplified)." }, { "n": 21, "type_id": 2, "question": "Find the area of the rectangle. [?] cm²", "answer0": "84", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 1, "explanation": "Area = length × breadth = 12 cm × 7 cm = 84 cm².", "hints": ["Area of a rectangle = length × breadth.", "Multiply 12 by 7."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q21", "image_needed": true, "image_options": false, "image_file": "q21.png", "notes": "Figure: rectangle labelled 7 cm (height) and 12 cm (base), upper page 12. Answer key = 84 cm²." }, { "n": 22, "type_id": 2, "question": "Find the value in the box. 2/3 − 1/9 = 1 − [?]", "answer0": "4/9", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 2, "explanation": "2/3 − 1/9 = 6/9 − 1/9 = 5/9. So 1 − box = 5/9, box = 1 − 5/9 = 4/9.", "hints": ["Work out 2/3 − 1/9 first.", "Then find what to subtract from 1 to get that value."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 23, "type_id": 2, "question": "Which two of the following fractions are greater than 1/2? 5/8, 4/9, 3/6, 6/11. [?] and [?]", "answer0": "5/8", "answer1": "6/11", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "Compare each to 1/2: 5/8 > 1/2, 4/9 < 1/2, 3/6 = 1/2, 6/11 > 1/2. The two greater than 1/2 are 5/8 and 6/11.", "hints": ["A fraction is more than 1/2 when the numerator is more than half the denominator.", "Check each fraction in turn."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-blank answer (either order). Answer key = 5/8 and 6/11." }, { "n": 24, "type_id": 2, "question": "Study the pattern. What is the missing number? 7834, 7824, 7814, [?], 7794", "answer0": "7804", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 1, "explanation": "The numbers decrease by 10 each time: 7814 − 10 = 7804.", "hints": ["Find the difference between consecutive numbers.", "Subtract 10 from 7814."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 25, "type_id": 2, "question": "The diagram shows a pineapple and a bunch of bananas on a weighing scale. The pineapple weighs 1800 g. What is the mass of the bunch of the bananas? Leave your answer in grams. [?] g", "answer0": "1500", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "The scale reads about 3300 g (3 kg 300 g) for both items. Bananas = 3300 − 1800 = 1500 g.", "hints": ["Read the total mass on the scale dial.", "Subtract the pineapple's 1800 g."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q25", "image_needed": true, "image_options": false, "image_file": "q25.png", "notes": "Figure: pineapple + bananas on a kg dial scale, left of page 13. Answer key = 1500 g (scale total 3300 g)." }, { "n": 26, "type_id": 2, "question": "Gavin and Jia Hao saved a total of $173.45. Gavin saved $86.90. How much did Jia Hao save? $ [?]", "answer0": "86.55", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "$173.45 − $86.90 = $86.55.", "hints": ["Subtract Gavin's savings from the total.", "Line up the decimal points."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer expressed in dollars; key = $86.55." }, { "n": 27, "type_id": 2, "question": "The graph shows the number of different types of fruits sold at a stall. How many more oranges than pears were sold? [?]", "answer0": "24", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "Oranges = 60, Pears = 36. Difference = 60 − 36 = 24.", "hints": ["Read the bar heights for oranges and pears.", "Subtract pears from oranges."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q27", "image_needed": true, "image_options": false, "image_file": "q27.png", "notes": "Figure: bar graph (Number of Fruits vs fruit type), middle of page 14. Answer key = 24." }, { "n": 28, "type_id": 2, "question": "Qian Wei had 94 sweets. Ravi had 24 fewer sweets than Qian Wei. Lena had 60 more sweets than Ravi. How many sweets did Lena have? [?]", "answer0": "130", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "Ravi = 94 − 24 = 70. Lena = 70 + 60 = 130.", "hints": ["Find Ravi's sweets first.", "Add 60 for Lena."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q28", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 29, "type_id": 2, "question": "The travelling time between Town A and Town B is 2 hours and 43 minutes. A man started his journey at 11.45 a.m. from Town A to Town B. At what time did he arrive in Town B? [?] p.m.", "answer0": "2.28", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 92, "difficulty_id": 2, "explanation": "11.45 a.m. + 2 h = 1.45 p.m.; + 43 min = 2.28 p.m.", "hints": ["Add 2 hours to 11.45 a.m. first.", "Then add 43 minutes."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q29", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer box pre-labelled p.m.; key = 2.28 p.m." }, { "n": 30, "type_id": 2, "question": "A dress cost $84. The dress costs 3 times as much as a shirt. How much does the dress and shirt cost altogether? $ [?]", "answer0": "112", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Shirt = $84 ÷ 3 = $28. Total = $84 + $28 = $112.", "hints": ["Find the shirt's cost (dress is 3 times the shirt).", "Add the dress and shirt costs."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q30", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 31, "type_id": 2, "question": "In the square grid, which line is perpendicular to line AB? Line [?]", "answer0": "AF", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "Line AF meets line AB at a right angle, so AF is perpendicular to AB.", "hints": ["Perpendicular lines meet at a right angle (square corner).", "Find the line forming a square corner with AB."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q31", "image_needed": true, "image_options": false, "image_file": "q31.png", "notes": "Part (a) only: answer key = line AF. Part (b) 'draw a line parallel to AB through point G' is a draw task with no value answer, omitted. Figure: square grid with lines/points A-G, upper page 16." }, { "n": 32, "type_id": 2, "question": "Miss Wong bought 8 similar packets of chocolates to give to 24 students. Each student received 6 pieces of chocolates. How many pieces of chocolates were there in each packet? [?]", "answer0": "18", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Total pieces = 24 × 6 = 144. Per packet = 144 ÷ 8 = 18.", "hints": ["Find the total pieces handed to all students.", "Divide by the number of packets."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q32", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 33, "type_id": 2, "question": "Xu Jia and Say Jeong had a total score of 844 points at a Science competition. Xu Jia scored 126 points more than Say Jeong. What was Say Jeong's score? [?]", "answer0": "359", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "844 − 126 = 718; 718 ÷ 2 = 359 (Say Jeong). Xu Jia = 359 + 126 = 485; check 359 + 485 = 844.", "hints": ["Remove the extra 126 from the total, then split equally.", "Say Jeong is the smaller share."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q33", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 34, "type_id": 2, "question": "Mr Lim had a rectangular piece of paper measuring 8 cm by 12 cm. He cut out a square of side 3 cm on the rectangular piece of paper. Find the perimeter of the remaining piece of paper after Mr Lim had cut out the square. [?] cm", "answer0": "46", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 3, "explanation": "The cut is on an edge, so the perimeter increases by 2 sides of the square: rectangle perimeter = 2×(8+12)=40; + 2×3 = 46 cm.", "hints": ["Start with the rectangle's perimeter, 2×(8+12)=40 cm.", "Cutting a notch on an edge adds 2 square sides (2×3 cm)."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q34", "image_needed": true, "image_options": false, "image_file": "q34.png", "notes": "Figure: shaded rectangle 12 cm × 8 cm with a 3 cm square notch cut from the left edge, lower page 17. Answer key = 46 cm." }, { "n": 35, "type_id": 2, "question": "Mrs Lim baked 173 muffins for a birthday party. There were 68 banana muffins and the rest were strawberry muffins. She packed all the strawberry muffins equally into boxes of 3. How many boxes of strawberry muffins were there? [?]", "answer0": "35", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Strawberry = 173 − 68 = 105. Boxes = 105 ÷ 3 = 35.", "hints": ["Find the number of strawberry muffins.", "Divide by 3 per box."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q35", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 36, "type_id": 2, "question": "In a game, Group A scored 650 points. Group B scored 280 points fewer than Group A. Group C scored 3 times as many points as Group B. What was the number of points scored by Group C? [?]", "answer0": "1110", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Group B = 650 − 280 = 370. Group C = 370 × 3 = 1110.", "hints": ["Find Group B's score first.", "Multiply Group B by 3 for Group C."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q36", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 37, "type_id": 2, "question": "Mrs Singh bought some highlighters. She received 6 pens free for every 60 highlighters bought. She received 48 pens. How many highlighters did she buy? [?]", "answer0": "480", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "48 ÷ 6 = 8 sets of 60 highlighters. 8 × 60 = 480 highlighters.", "hints": ["How many groups of 6 pens are in 48?", "Each group means 60 highlighters."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q37", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 38, "type_id": 2, "question": "Small and large packets of sweets were sold at a supermarket. A small packet of sweets cost $3 and a large packet cost $4. A total of $96 was collected from the sale of the small packets of sweets. (a) How many small packets of sweets were sold? (b) 15 more small packets of sweets were sold than the large packets of sweets. How much was collected from the sale of the large packets of sweets? Answers: (a) [?] (b) $ [?]", "answer0": "32", "answer1": "68", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "(a) $96 ÷ $3 = 32 small packets. (b) Large packets = 32 − 15 = 17; collected = 17 × $4 = $68.", "hints": ["(a) Divide the small-packet takings by $3.", "(b) Large packets = small − 15, then multiply by $4."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q38", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part; answer0 = part (a) = 32, answer1 = part (b) = 68 (dollars)." }, { "n": 39, "type_id": 2, "question": "Peter had a total of 192 blueberry, chocolate and vanilla cupcakes. He had 3 times as many blueberry cupcakes as chocolate cupcakes. He had 38 more vanilla cupcakes than blueberry cupcakes. (a) Peter packed all the cupcakes into boxes to sell. Each box can hold 8 cupcakes. How many boxes of cupcakes could he sell at most? (b) How many chocolate cupcakes did Peter have? Answers: (a) [?] (b) [?]", "answer0": "24", "answer1": "22", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "(a) 192 ÷ 8 = 24 boxes. (b) Let chocolate = c; blueberry = 3c; vanilla = 3c + 38. Total: c + 3c + 3c + 38 = 192 → 7c = 154 → c = 22 chocolate cupcakes.", "hints": ["(a) Divide the total 192 by 8.", "(b) Use units: chocolate = 1 unit, blueberry = 3 units, vanilla = 3 units + 38."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q39", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part; answer0 = part (a) = 24, answer1 = part (b) = 22." }, { "n": 40, "type_id": 2, "question": "The books in the library were placed on 30 shelves with an equal number of books on each shelf. 3 shelves were removed and the books on these shelves were placed on the remaining 27 shelves. In the end, the number of books on each remaining shelf increased by 5. How many books were there on each shelf at first? [?]", "answer0": "45", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "The 27 shelves gained 5 books each = 27 × 5 = 135 books, which came from the 3 removed shelves. So each shelf had 135 ÷ 3 = 45 books at first.", "hints": ["Total extra books on the 27 shelves = 27 × 5.", "Those came off the 3 removed shelves; divide by 3."], "source": "ACS Junior 2022 P3 Semestral Assessment 2 Q40", "image_needed": false, "image_options": false, "image_file": null, "notes": "" } ] }