{ "paper": { "school": "Raffles Girls' Primary School", "year": 2023, "level": "P3", "label": "End of Year Exam", "source_prefix": "Raffles Girls 2023 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "The value of the digit 3 in 7329 is [?]", "answer0": "3", "answer1": "30", "answer2": "300", "answer3": "3000", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "In 7329 the digit 3 is in the hundreds place, so its value is 3 hundreds = 300.", "hints": ["Identify the place of the digit 3.", "3 is in the hundreds column."], "source": "Raffles Girls 2023 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 2, "type_id": 1, "question": "7000 + 900 + 9 = [?]", "answer0": "7999", "answer1": "7990", "answer2": "7909", "answer3": "7099", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "7000 + 900 + 9 = 7909 (there are 0 tens).", "hints": ["Add the thousands, hundreds, tens and ones.", "There are no tens, so the tens digit is 0."], "source": "Raffles Girls 2023 P3 End of Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 3, "type_id": 1, "question": "Eight thousand, nine hundred and thirty-five in numerals is [?]", "answer0": "8350", "answer1": "8395", "answer2": "8593", "answer3": "8935", "correct_answer": 3, "skill_id": 67, "difficulty_id": 1, "explanation": "Eight thousand (8000), nine hundred (900), thirty-five (35) = 8935.", "hints": ["Write each part: thousands, hundreds, tens and ones.", "8000 + 900 + 35 = 8935."], "source": "Raffles Girls 2023 P3 End of Year Exam Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 4, "type_id": 1, "question": "Susan has 72 pencils. She wants to pack them equally into 8 goodie bags. How many pencils are there in one bag?", "answer0": "8", "answer1": "9", "answer2": "64", "answer3": "72", "correct_answer": 1, "skill_id": 40, "difficulty_id": 1, "explanation": "72 divided into 8 equal groups: 72 ÷ 8 = 9 pencils per bag.", "hints": ["Equal sharing means divide.", "72 ÷ 8 = 9."], "source": "Raffles Girls 2023 P3 End of Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 5, "type_id": 1, "question": "1/4 = [?]/12 What is the missing number in the box?", "answer0": "9", "answer1": "6", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 80, "difficulty_id": 1, "explanation": "To get 12 in the denominator, multiply 4 by 3, so multiply 1 by 3 too: 1/4 = 3/12.", "hints": ["4 × 3 = 12.", "Multiply the numerator by the same number: 1 × 3 = 3."], "source": "Raffles Girls 2023 P3 End of Year Exam Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Stem shows 1/4 = box/12, equivalent fraction." }, { "n": 6, "type_id": 1, "question": "1/5 + 1/10 = [?]", "answer0": "1/50", "answer1": "2/5", "answer2": "2/15", "answer3": "3/10", "correct_answer": 3, "skill_id": 81, "difficulty_id": 2, "explanation": "1/5 = 2/10, so 2/10 + 1/10 = 3/10.", "hints": ["Make the denominators the same: 1/5 = 2/10.", "Add the numerators: 2/10 + 1/10 = 3/10."], "source": "Raffles Girls 2023 P3 End of Year Exam Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 7, "type_id": 1, "question": "2/3 - 3/9 = [?]", "answer0": "1/3", "answer1": "1/6", "answer2": "1/9", "answer3": "5/12", "correct_answer": 2, "skill_id": 81, "difficulty_id": 2, "explanation": "2/3 = 6/9, so 6/9 - 3/9 = 3/9 = 1/3. The key marks option (3) 1/9; note the simplest correct value is 1/3.", "hints": ["Make the denominators the same: 2/3 = 6/9.", "Subtract: 6/9 - 3/9 = 3/9."], "source": "Raffles Girls 2023 P3 End of Year Exam Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key marks Q7 = option (3) which is 1/9. By calculation 2/3 - 3/9 = 3/9 = 1/3 (option 1). Followed the key (index 2 = 1/9) but flagging the discrepancy for human review." }, { "n": 8, "type_id": 1, "question": "Arrange the following numbers from the greatest to the smallest.\n6507 6057 6705", "answer0": "6057, 6507, 6705", "answer1": "6507, 6705, 6057", "answer2": "6705, 6057, 6507", "answer3": "6705, 6507, 6057", "correct_answer": 3, "skill_id": 68, "difficulty_id": 1, "explanation": "Ordering greatest to smallest: 6705, 6507, 6057.", "hints": ["Compare the hundreds digits.", "6705 > 6507 > 6057."], "source": "Raffles Girls 2023 P3 End of Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Options shown as greatest -> smallest triples." }, { "n": 9, "type_id": 1, "question": "Ms Chong baked 498 cookies. She ate 6 cookies and gave 60 cookies to her friends. How many cookies were left?", "answer0": "432", "answer1": "438", "answer2": "492", "answer3": "564", "correct_answer": 0, "skill_id": 71, "difficulty_id": 2, "explanation": "498 - 6 - 60 = 432 cookies left.", "hints": ["Subtract what she ate and gave away.", "498 - 6 = 492; 492 - 60 = 432."], "source": "Raffles Girls 2023 P3 End of Year Exam Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 10, "type_id": 1, "question": "What does the star represent?\n2 [star] 6\n× 4\n9 4 4", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 75, "difficulty_id": 2, "explanation": "236 × 4 = 944, so the missing tens digit (star) is 3.", "hints": ["The product is 944; try the tens digit.", "236 × 4 = 944, so star = 3."], "source": "Raffles Girls 2023 P3 End of Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Multiplication algorithm with star symbol as missing tens digit; rendered in text." }, { "n": 11, "type_id": 1, "question": "How many minutes are there in 2 h 38 min?", "answer0": "40", "answer1": "98", "answer2": "158", "answer3": "238", "correct_answer": 2, "skill_id": 91, "difficulty_id": 2, "explanation": "2 h = 120 min; 120 + 38 = 158 min.", "hints": ["1 hour = 60 minutes.", "2 × 60 + 38 = 158."], "source": "Raffles Girls 2023 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 12, "type_id": 1, "question": "Which house is the furthest from the swimming pool?", "answer0": "House A", "answer1": "House B", "answer2": "House C", "answer3": "House D", "correct_answer": 0, "skill_id": 86, "difficulty_id": 2, "explanation": "Distances: A 1980 m, B 1 km 800 m = 1800 m, C 1180 m, D 1 km 190 m = 1190 m. Largest is 1980 m, House A.", "hints": ["Convert all distances to metres.", "1980 m > 1800 m > 1190 m > 1180 m."], "source": "Raffles Girls 2023 P3 End of Year Exam Q12", "image_needed": true, "image_page": 7, "image_loc": "middle of page, diagram of four houses around a swimming pool with labelled distances", "image_options": false, "image_file": "q12.png", "notes": "Figure shows House A 1980 m, House B 1 km 800 m, House C 1180 m, House D 1 km 190 m to the pool." }, { "n": 13, "type_id": 1, "question": "How much more water is needed to fill the beaker to 500 ml?", "answer0": "207 ml", "answer1": "230 ml", "answer2": "270 ml", "answer3": "370 ml", "correct_answer": 2, "skill_id": 87, "difficulty_id": 2, "explanation": "The water level reads 230 ml; 500 - 230 = 270 ml more needed.", "hints": ["Read the current water level on the scale.", "500 - 230 = 270."], "source": "Raffles Girls 2023 P3 End of Year Exam Q13", "image_needed": true, "image_page": 8, "image_loc": "upper-middle of page, beaker with measuring scale 0-500 ml showing water at 230 ml", "image_options": false, "image_file": "q13.png", "notes": "Beaker reads about 230 ml; answer 270 ml per key." }, { "n": 14, "type_id": 1, "question": "Bala bought a notebook and a bottle of orange juice. He gave the cashier $50. How much change did he get?", "answer0": "$10.05", "answer1": "$39.95", "answer2": "$44.70", "answer3": "$45.25", "correct_answer": 1, "skill_id": 83, "difficulty_id": 2, "explanation": "Orange juice $5.30 + notebook $4.75 = $10.05; $50 - $10.05 = $39.95.", "hints": ["Add the two prices first.", "$5.30 + $4.75 = $10.05; $50 - $10.05 = $39.95."], "source": "Raffles Girls 2023 P3 End of Year Exam Q14", "image_needed": true, "image_page": 8, "image_loc": "lower-middle of page, picture of an orange juice bottle priced $5.30 and a notebook priced $4.75", "image_options": false, "image_file": "q14.png", "notes": "Prices given in figure: orange juice $5.30, notebook $4.75." }, { "n": 15, "type_id": 1, "question": "The clock shown is slower by 5 minutes. What is the correct time?", "answer0": "10 25", "answer1": "10 30", "answer2": "10 35", "answer3": "10 55", "correct_answer": 2, "skill_id": 88, "difficulty_id": 2, "explanation": "The clock shows 10:30; it is 5 minutes slow, so the correct time is 10:30 + 5 min = 10 35.", "hints": ["Read the time on the clock face.", "It is slow, so add 5 minutes."], "source": "Raffles Girls 2023 P3 End of Year Exam Q15", "image_needed": true, "image_page": 9, "image_loc": "upper-middle of page, analogue clock face showing about 10:30", "image_options": false, "image_file": "q15.png", "notes": "Clock reads 10:30; clock is slow by 5 min so correct time = 10 35." }, { "n": 16, "type_id": 1, "question": "Which of the following points when joined to point X will make an angle greater than a right angle?", "answer0": "A", "answer1": "B", "answer2": "C", "answer3": "D", "correct_answer": 0, "skill_id": 99, "difficulty_id": 2, "explanation": "Joining X to A makes an angle (with XY) greater than a right angle; the key marks A.", "hints": ["Compare each angle at X with a right angle.", "An obtuse angle is greater than 90 degrees."], "source": "Raffles Girls 2023 P3 End of Year Exam Q16", "image_needed": true, "image_page": 9, "image_loc": "middle of page, square grid with point X and points A, B, C, D, Y; lines drawn from X to each point", "image_options": false, "image_file": "q16.png", "notes": "Grid figure with X joined to A, B, C, D and Y. Answer key = A (option 1)." }, { "n": 17, "type_id": 2, "question": "894 ÷ 2 = [?]", "answer0": "447", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 1, "explanation": "894 ÷ 2 = 447.", "hints": ["Divide each part by 2.", "800 ÷ 2 = 400, 94 ÷ 2 = 47, total 447."], "source": "Raffles Girls 2023 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 18, "type_id": 2, "question": "What is the mass of the watermelon in grams?", "answer0": "2300", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 2, "explanation": "The scale pointer is between 2 kg and 3 kg, reading 2 kg 300 g = 2300 g.", "hints": ["Read the dial scale in kg.", "2 kg 300 g = 2300 g."], "source": "Raffles Girls 2023 P3 End of Year Exam Q18", "image_needed": true, "image_page": 10, "image_loc": "middle of page, watermelon on a circular dial weighing scale marked 0, 1 kg, 2 kg, 3 kg", "image_options": false, "image_file": "q18.png", "notes": "Dial scale reads 2 kg 300 g; answer 2300 g (g unit pre-printed). Answer blank shows 'g' unit." }, { "n": 19, "type_id": 2, "question": "What is the quotient when 58 is divided by 3?", "answer0": "19", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 2, "explanation": "58 ÷ 3 = 19 remainder 1. The quotient is 19.", "hints": ["Quotient is the whole-number result of division.", "3 × 19 = 57, remainder 1."], "source": "Raffles Girls 2023 P3 End of Year Exam Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 20, "type_id": 2, "question": "Express 10/15 in its simplest form.", "answer0": "2/3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 78, "difficulty_id": 2, "explanation": "Divide numerator and denominator by 5: 10/15 = 2/3.", "hints": ["Find the common factor of 10 and 15.", "Both divide by 5: 10/15 = 2/3."], "source": "Raffles Girls 2023 P3 End of Year Exam Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 21, "type_id": 2, "question": "Arrange the following fractions from the smallest to the greatest.\n4/7, 2/5, 1/2", "answer0": "2/5", "answer1": "1/2", "answer2": "4/7", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 3, "explanation": "As decimals: 2/5 = 0.4, 1/2 = 0.5, 4/7 ≈ 0.571. Smallest to greatest: 2/5, 1/2, 4/7.", "hints": ["Convert each fraction to a decimal to compare.", "0.4 < 0.5 < 0.571."], "source": "Raffles Girls 2023 P3 End of Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering task as FIB, three blanks smallest to greatest." }, { "n": 22, "type_id": 2, "question": "Complete the number pattern.\n8930, 6930, 4930, [?], 930", "answer0": "2930", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 2, "explanation": "The pattern decreases by 2000 each time: 4930 - 2000 = 2930.", "hints": ["Find the difference between consecutive terms.", "Each term is 2000 less: 4930 - 2000 = 2930."], "source": "Raffles Girls 2023 P3 End of Year Exam Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "Missing term is the 4th (between 4930 and 930)." }, { "n": 23, "type_id": 2, "question": "Joyce spent $3210 on a sofa set. She also bought a piano for $5630. How much did she spend altogether?", "answer0": "8840", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "$3210 + $5630 = $8840.", "hints": ["Add the two amounts.", "3210 + 5630 = 8840."], "source": "Raffles Girls 2023 P3 End of Year Exam Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer blank pre-printed with '$' unit; value 8840." }, { "n": 24, "type_id": 2, "question": "Find the difference between 1072 and 6498.", "answer0": "5426", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "6498 - 1072 = 5426.", "hints": ["Difference means subtract the smaller from the larger.", "6498 - 1072 = 5426."], "source": "Raffles Girls 2023 P3 End of Year Exam Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 25, "type_id": 2, "question": "Parcel A has a mass of 2240 g. Parcel B has a mass of 1960 g. What is the total mass of Parcels A and B?\nGive your answer in kilograms and grams.", "answer0": "4", "answer1": "200", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 2, "explanation": "2240 g + 1960 g = 4200 g = 4 kg 200 g.", "hints": ["Add the two masses in grams.", "4200 g = 4 kg 200 g."], "source": "Raffles Girls 2023 P3 End of Year Exam Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two blanks: kg and g (pre-printed units). Answer 4 kg 200 g." }, { "n": 26, "type_id": 2, "question": "315 cm of ribbon is cut into 9 equal pieces. What is the length of each piece of ribbon?", "answer0": "35", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "315 ÷ 9 = 35 cm per piece.", "hints": ["Equal pieces means divide.", "315 ÷ 9 = 35."], "source": "Raffles Girls 2023 P3 End of Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer blank pre-printed with 'cm' unit; value 35." }, { "n": 27, "type_id": 2, "question": "How many more stamps did Justin collect than Muthu?", "answer0": "14", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "From the bar graph Justin = 54 stamps, Muthu = 40 stamps; 54 - 40 = 14.", "hints": ["Read both bars off the graph.", "Justin 54, Muthu 40; 54 - 40 = 14."], "source": "Raffles Girls 2023 P3 End of Year Exam Q27", "image_needed": true, "image_page": 13, "image_loc": "middle of page, horizontal bar graph titled 'Stamps Collection' for Justin, Muthu, Timmy, Ali", "image_options": false, "image_file": "q27.png", "notes": "Bar graph: Justin 54, Muthu 40, Timmy 80, Ali 30. Answer 54 - 40 = 14." }, { "n": 28, "type_id": 2, "question": "(a) Name the line perpendicular to AF.\n(b) Name the line parallel to CD.", "answer0": "GC", "answer1": "BE", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "On the grid figure, the line perpendicular to AF is GC, and the line parallel to CD is BE.", "hints": ["Perpendicular lines meet at a right angle.", "Parallel lines run in the same direction and never meet."], "source": "Raffles Girls 2023 P3 End of Year Exam Q28", "image_needed": true, "image_page": 14, "image_loc": "upper-middle of page, square grid with points A, B, C, D, E, F, G and several drawn lines", "image_options": false, "image_file": "q28.png", "notes": "Two blanks: (a) perpendicular to AF = GC; (b) parallel to CD = BE. Answers are line names (letter pairs) so FIB symbolic is acceptable." }, { "n": 29, "type_id": 2, "question": "There were 498 children at a concert. There were 24 more children than adults. How many adults and children were there at the concert?", "answer0": "972", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 3, "explanation": "Adults = 498 - 24 = 474. Total = 498 + 474 = 972.", "hints": ["Find the number of adults first: 498 - 24 = 474.", "Add adults and children: 498 + 474 = 972."], "source": "Raffles Girls 2023 P3 End of Year Exam Q29", "image_needed": false, "image_options": false, "image_file": null, "notes": "Total of adults and children = 972." }, { "n": 30, "type_id": 2, "question": "A fruit seller packed 107 apples into bags. He packed 7 apples into each bag. How many apples were left unpacked?", "answer0": "2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 2, "explanation": "107 ÷ 7 = 15 remainder 2, so 2 apples are left unpacked.", "hints": ["Divide 107 by 7 and look at the remainder.", "7 × 15 = 105; 107 - 105 = 2."], "source": "Raffles Girls 2023 P3 End of Year Exam Q30", "image_needed": false, "image_options": false, "image_file": null, "notes": "Remainder question; answer 2." }, { "n": 31, "type_id": 2, "question": "The capacity of a bottle is 330 ml. What is the total capacity of six bottles?\nGive your answer in litres and millilitres.", "answer0": "1", "answer1": "980", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 2, "explanation": "330 ml × 6 = 1980 ml = 1 L 980 ml.", "hints": ["Multiply 330 by 6.", "1980 ml = 1 L 980 ml."], "source": "Raffles Girls 2023 P3 End of Year Exam Q31", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two blanks: L and ml (pre-printed units). Answer 1 L 980 ml." }, { "n": 32, "type_id": 2, "question": "An aeroplane left Hong Kong at 23 45 and reached Singapore at 04 10 the following day. How long was the flight?", "answer0": "4", "answer1": "25", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 92, "difficulty_id": 3, "explanation": "23 45 to 24 00 is 15 min; 00 00 to 04 10 is 4 h 10 min; total 4 h 25 min.", "hints": ["Count to midnight first: 23 45 to 00 00 is 15 min.", "Then add 4 h 10 min: 15 min + 4 h 10 min = 4 h 25 min."], "source": "Raffles Girls 2023 P3 End of Year Exam Q32", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two blanks: h and min. Answer 4 h 25 min." }, { "n": 33, "type_id": 2, "question": "Doughnuts are sold in boxes of 6. Mrs Tan needs to buy 62 donuts for a party. What is the least number of boxes of doughnuts Mrs Tan needs to buy?", "answer0": "11", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 2, "explanation": "62 ÷ 6 = 10 remainder 2, so 10 boxes give 60; she needs 1 more box for the rest: 11 boxes.", "hints": ["Divide 62 by 6.", "10 boxes = 60 doughnuts, not enough, so round up to 11."], "source": "Raffles Girls 2023 P3 End of Year Exam Q33", "image_needed": true, "image_page": 16, "image_loc": "left-middle of page, picture of a box containing 6 doughnuts (2 rows of 3)", "image_options": false, "image_file": "q33.png", "notes": "Figure of one box of 6 doughnuts. Answer 11 boxes." }, { "n": 34, "type_id": 2, "question": "Martha cut a square piece of paper into two parts and formed a new shape as shown in Figure A. What is the perimeter of Figure A?", "answer0": "44", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 3, "explanation": "Original square side 8 cm (one part 6 cm wide). Perimeter of the L-shaped Figure A = 6 + 8 + 8 + (8-6=2) + ... totalling 44 cm per the key: 28 (outer) + 14 + 2 = 44 cm.", "hints": ["Add up every side length around the new shape.", "Key working: 6 + 8 + 8 = 28, plus 14 plus 2 = 44 cm."], "source": "Raffles Girls 2023 P3 End of Year Exam Q34", "image_needed": true, "image_page": 17, "image_loc": "upper-middle of page, square (8 cm side, 6 cm marked) being cut and rearranged into an L-shaped Figure A with 8 cm marked", "image_options": false, "image_file": "q34.png", "notes": "Square 8 cm side with 6 cm portion; rearranged L-shape. Answer 44 cm. Answer blank pre-printed with 'cm' unit." }, { "n": 35, "type_id": 2, "question": "Emily saved $9 a week for 16 weeks. She spent $48 on a toy, how much money had she left?", "answer0": "96", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "9 × 16 = 144; 144 - 48 = $96 left.", "hints": ["Find her total savings: 9 × 16.", "9 × 16 = 144; 144 - 48 = 96."], "source": "Raffles Girls 2023 P3 End of Year Exam Q35", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer $96 (dollar)." }, { "n": 36, "type_id": 2, "question": "In a carpark, there are 852 motorcycles. There are 87 more motorcycles than vans. There are twice as many cars as vans. How many cars are there in the carpark?", "answer0": "1530", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Vans = 852 - 87 = 765. Cars = 765 × 2 = 1530.", "hints": ["Find the number of vans: 852 - 87 = 765.", "Cars = twice the vans = 765 × 2 = 1530."], "source": "Raffles Girls 2023 P3 End of Year Exam Q36", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 37, "type_id": 2, "question": "The graph shows the number of children at a carnival.\n(a) On how many days were there more girls than boys at the carnival?\n(b) What is the total number of children at the carnival on Tuesday and Friday?", "answer0": "2", "answer1": "325", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "(a) Girls exceed boys on Monday and Wednesday = 2 days. (b) Tuesday: 110 boys + 45 girls = 155; Friday: 120 boys + 50 girls = 170; total 155 + 170 = 325.", "hints": ["(a) Compare the boys and girls bars each day.", "(b) Add boys and girls for Tuesday and Friday, then sum: 155 + 170 = 325."], "source": "Raffles Girls 2023 P3 End of Year Exam Q37", "image_needed": true, "image_page": 20, "image_loc": "middle of page, double bar graph 'Number of Children at a Carnival' with Boys and Girls bars for Monday to Friday", "image_options": false, "image_file": "q37.png", "notes": "Two blanks: (a) 2 days; (b) 325. Bar values per key: Tue 110+45=155, Fri 120+50=170." }, { "n": 38, "type_id": 2, "question": "Yummy Bakery is having a sale.\nMuffins for Sale\nBuy 1 for $3\nBuy 2 get 1 free!\na) How many muffins must Tom buy to get 5 free muffins?\nb) What is the most number of muffins that can be bought with $35?", "answer0": "10", "answer1": "16", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "(a) For each 2 bought, 1 is free; 5 free means 2 × 5 = 10 muffins bought. (b) $35 ÷ $3 = 11 bought (R$2). 11 bought = 5 sets of 2 (5 free) plus 1, so 11 + 5 = 16 muffins.", "hints": ["(a) Buy 2 to get 1 free, so multiply the free count by 2.", "(b) $35 buys 11 muffins; every 2 bought gives 1 free: 11 + 5 = 16."], "source": "Raffles Girls 2023 P3 End of Year Exam Q38", "image_needed": true, "image_page": 21, "image_loc": "upper-left of page, framed 'Muffins for Sale' poster with a muffin picture and prices", "image_options": false, "image_file": "q38.png", "notes": "Two blanks: (a) 10; (b) 16. Poster: Buy 1 for $3, Buy 2 get 1 free." }, { "n": 39, "type_id": 2, "question": "Jenny bought 2 cakes and 3 buns for $53.40.\nKaren bought 3 cakes and 3 buns for $77.40.\na) Find the cost of 1 cake.\nb) Find the cost of 3 buns.", "answer0": "24", "answer1": "5.40", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 3, "explanation": "(a) The extra cake costs $77.40 - $53.40 = $24, so 1 cake = $24. (b) 2 cakes = $48; 3 buns = $53.40 - $48 = $5.40.", "hints": ["(a) Subtract the two totals to find 1 cake's cost.", "(b) Take away the cost of 2 cakes from $53.40."], "source": "Raffles Girls 2023 P3 End of Year Exam Q39", "image_needed": true, "image_page": 22, "image_loc": "upper-middle of page, picture of 2 cakes + 3 buns tagged $53.40 and 3 cakes + 3 buns tagged $77.40", "image_options": false, "image_file": "q39.png", "notes": "Two blanks: (a) cost of 1 cake = $24; (b) cost of 3 buns = $5.40." }, { "n": 40, "type_id": 2, "question": "Adi and Cheryl each had a piece of wire 32 cm long.\na) Adi used his wire to form a rectangle as shown in Fig 1. Find the length of the rectangle.\nb) Cheryl used her wire to form a square as shown in Fig 2. Find the area of the square.", "answer0": "10", "answer1": "64", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 3, "explanation": "(a) Perimeter 32 cm, width 6 cm: 32 - 12 = 20; 20 ÷ 2 = 10 cm length. (b) Square side = 32 ÷ 4 = 8 cm; area = 8 × 8 = 64 cm².", "hints": ["(a) Two widths use 12 cm; the rest is the two lengths.", "(b) A square has 4 equal sides: 32 ÷ 4 = 8, then area = side × side."], "source": "Raffles Girls 2023 P3 End of Year Exam Q40", "image_needed": true, "image_page": 23, "image_loc": "upper part of page, Fig 1 rectangle (6 cm height marked) and Fig 2 square", "image_options": false, "image_file": "q40.png", "notes": "Two blanks: (a) length = 10 cm; (b) area = 64 cm². Fig 1 rectangle marked 6 cm side." } ] }