{ "paper": { "school": "St Hilda", "year": 2024, "level": "P3", "label": "End of Year Exam", "source_prefix": "St Hilda 2024 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 8047, what is the value of the digit 0?", "answer0": "0", "answer1": "10", "answer2": "100", "answer3": "1000", "correct_answer": 1, "skill_id": 66, "difficulty_id": 1, "explanation": "The answer key marks option (2). Note: the digit 0 sits in the hundreds place of 8047, so its place value is 0 (option 1) — the key appears inconsistent here, but per the official key the marked answer is option (2).", "hints": ["Identify which place the digit 0 occupies.", "Place value = digit x place; the hundreds digit here is 0."], "source": "St Hilda 2024 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key marks (2)=10, but mathematically the value of the digit 0 is 0 (option 1). Followed the key; flagged discrepancy." }, { "n": 2, "type_id": 1, "question": "What is the difference between 816 and 7910?", "answer0": "25", "answer1": "250", "answer2": "7094", "answer3": "8726", "correct_answer": 2, "skill_id": 70, "difficulty_id": 1, "explanation": "7910 - 816 = 7094.", "hints": ["Difference means subtract the smaller from the larger.", "7910 - 816 = 7094."], "source": "St Hilda 2024 P3 End of Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 3, "type_id": 1, "question": "Find the product of 7 and 8.", "answer0": "1", "answer1": "15", "answer2": "56", "answer3": "78", "correct_answer": 2, "skill_id": 73, "difficulty_id": 1, "explanation": "Product means multiply: 7 x 8 = 56.", "hints": ["Product means multiply.", "7 x 8 = 56."], "source": "St Hilda 2024 P3 End of Year Exam Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 4, "type_id": 1, "question": "Sally had 40 pencils. Rebekah had 3 times as many pencils as Sally. How many pencils did both of them have?", "answer0": "43", "answer1": "80", "answer2": "120", "answer3": "160", "correct_answer": 3, "skill_id": 76, "difficulty_id": 2, "explanation": "Rebekah = 3 x 40 = 120. Both = 40 + 120 = 160.", "hints": ["Find Rebekah's pencils first: 3 x 40.", "Add Sally's 40 to Rebekah's amount."], "source": "St Hilda 2024 P3 End of Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 5, "type_id": 1, "question": "A file cost $16.75. A t-shirt cost $67.50 more than the file. How much did the t-shirt cost?", "answer0": "$50.75", "answer1": "$84.25", "answer2": "$101.00", "answer3": "$118.25", "correct_answer": 1, "skill_id": 82, "difficulty_id": 2, "explanation": "$16.75 + $67.50 = $84.25.", "hints": ["The t-shirt cost more, so add.", "$16.75 + $67.50 = $84.25."], "source": "St Hilda 2024 P3 End of Year Exam Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 6, "type_id": 1, "question": "What is the total volume of water in the two beakers?", "answer0": "30 ml", "answer1": "350 ml", "answer2": "380 ml", "answer3": "650 ml", "correct_answer": 2, "skill_id": 87, "difficulty_id": 2, "explanation": "Large beaker shows 350 ml, small beaker shows 30 ml. 350 + 30 = 380 ml.", "hints": ["Read each beaker's water level against its scale.", "Add the two readings together."], "source": "St Hilda 2024 P3 End of Year Exam Q6", "image_needed": true, "image_page": 4, "image_loc": "below the question, two beakers side by side in the middle of the page", "image_options": false, "image_file": "q6.png", "notes": "Two beakers: larger reads 350 ml, smaller reads 30 ml. Key=380 ml confirms readings." }, { "n": 7, "type_id": 1, "question": "Find the difference between 3/4 and 7/12.", "answer0": "1/2", "answer1": "1/4", "answer2": "1/6", "answer3": "5/8", "correct_answer": 2, "skill_id": 81, "difficulty_id": 2, "explanation": "3/4 = 9/12. 9/12 - 7/12 = 2/12 = 1/6.", "hints": ["Convert 3/4 to twelfths.", "9/12 - 7/12 = 2/12, then simplify."], "source": "St Hilda 2024 P3 End of Year Exam Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Options are fractions; rendered as text 1/2, 1/4, 1/6, 5/8." }, { "n": 8, "type_id": 1, "question": "There are four angles in the figure. How many of the angles are acute angles?", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 1, "skill_id": 99, "difficulty_id": 2, "explanation": "The parallelogram has two acute angles (the two sharp corners).", "hints": ["An acute angle is smaller than a right angle.", "Count the sharp (less than 90 degree) corners of the figure."], "source": "St Hilda 2024 P3 End of Year Exam Q8", "image_needed": true, "image_page": 5, "image_loc": "below the question, a parallelogram figure in the upper-middle of the page", "image_options": false, "image_file": "q8.png", "notes": "Parallelogram; 2 acute angles. Key=2." }, { "n": 9, "type_id": 1, "question": "Name a pair of parallel lines in the figure.", "answer0": "AB // BC", "answer1": "AB // DG", "answer2": "BC // DG", "answer3": "BC // FE", "correct_answer": 1, "skill_id": 100, "difficulty_id": 2, "explanation": "On the square grid, lines AB and DG run in the same direction and never meet, so AB // DG.", "hints": ["Parallel lines never meet and go in the same direction.", "Trace each named line on the grid to compare directions."], "source": "St Hilda 2024 P3 End of Year Exam Q9", "image_needed": true, "image_page": 5, "image_loc": "below the question, a square grid with labelled points A,B,C,D,E,F,G and drawn lines in the middle of the page", "image_options": false, "image_file": "q9.png", "notes": "Key=2 (AB // DG)." }, { "n": 10, "type_id": 1, "question": "Four students took part in a 100-m race. The graph shows the time taken by each student to complete the run. Who finished last?", "answer0": "Weiming", "answer1": "Xenia", "answer2": "Yashora", "answer3": "Zachary", "correct_answer": 2, "skill_id": 102, "difficulty_id": 2, "explanation": "Finishing last means taking the longest time. Yashora's bar is the tallest (about 13 s).", "hints": ["The slowest runner takes the most time.", "Find the tallest bar on the graph."], "source": "St Hilda 2024 P3 End of Year Exam Q10", "image_needed": true, "image_page": 6, "image_loc": "below the question, a bar graph titled 'Time taken to complete the 100-m race' in the upper half of the page", "image_options": false, "image_file": "q10.png", "notes": "Bar graph; Yashora tallest bar. Key=3." }, { "n": 11, "type_id": 1, "question": "9752 = 9 thousands + 7 hundreds + [?] ones", "answer0": "5", "answer1": "2", "answer2": "50", "answer3": "52", "correct_answer": 3, "skill_id": 66, "difficulty_id": 2, "explanation": "9000 + 700 = 9700. 9752 - 9700 = 52 ones.", "hints": ["9 thousands + 7 hundreds = 9700.", "9752 - 9700 = 52."], "source": "St Hilda 2024 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Stem has a blank in print but four MCQ options are given, so kept as MCQ. Key=4 (52)." }, { "n": 12, "type_id": 1, "question": "2583 more than a number is 6479. What is 100 more than that number?", "answer0": "3896", "answer1": "3996", "answer2": "9062", "answer3": "9162", "correct_answer": 1, "skill_id": 71, "difficulty_id": 2, "explanation": "The number = 6479 - 2583 = 3896. 100 more = 3896 + 100 = 3996.", "hints": ["Find the number first: 6479 - 2583.", "Then add 100."], "source": "St Hilda 2024 P3 End of Year Exam Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 13, "type_id": 1, "question": "A bus left a bus interchange with 47 people onboard. When it reached the first bus stop, 12 people boarded the bus and some people alighted the bus. There were 23 people on the bus when it left the first bus stop. How many people alighted the bus at the first bus stop?", "answer0": "12", "answer1": "24", "answer2": "35", "answer3": "36", "correct_answer": 3, "skill_id": 71, "difficulty_id": 2, "explanation": "47 + 12 = 59 on board before alighting. 59 - 23 = 36 alighted.", "hints": ["Add the people who boarded first.", "Subtract the final number from that total."], "source": "St Hilda 2024 P3 End of Year Exam Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 14, "type_id": 1, "question": "Fatin spent $13.60 on a file. She also bought a toy robot which cost $47.90 more than the file. How much did she spend on both items?", "answer0": "$34.30", "answer1": "$61.50", "answer2": "$75.10", "answer3": "$109.40", "correct_answer": 2, "skill_id": 83, "difficulty_id": 2, "explanation": "Robot = $13.60 + $47.90 = $61.50. Total = $13.60 + $61.50 = $75.10.", "hints": ["Find the robot's cost first.", "Add the file and robot costs."], "source": "St Hilda 2024 P3 End of Year Exam Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 15, "type_id": 1, "question": "Aunt Amanda had 7 kg of flour at first. After using 6450 g of flour to bake a cake, she packed the remaining flour equally into 5 packets. What was the mass of flour in each packet?", "answer0": "11 g", "answer1": "110 g", "answer2": "2690 g", "answer3": "2750 g", "correct_answer": 1, "skill_id": 87, "difficulty_id": 3, "explanation": "7 kg = 7000 g. 7000 - 6450 = 550 g left. 550 / 5 = 110 g per packet.", "hints": ["Convert 7 kg to grams.", "Subtract the flour used, then divide by 5."], "source": "St Hilda 2024 P3 End of Year Exam Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 16, "type_id": 2, "question": "Arrange the numbers in decreasing order. 3090, 3900, 930, 9003 [?], [?], [?], [?]", "answer0": "9003", "answer1": "3900", "answer2": "3090", "answer3": "930", "correct_answer": null, "skill_id": 68, "difficulty_id": 2, "explanation": "Decreasing (greatest to smallest): 9003, 3900, 3090, 930.", "hints": ["Decreasing means greatest first.", "Compare thousands digits, then hundreds."], "source": "St Hilda 2024 P3 End of Year Exam Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering task converted to FIB; blanks are the four numbers from greatest to smallest. Key: 9003,3900,3090,930." }, { "n": 17, "type_id": 2, "question": "Write the missing number in the number pattern. 480 , 581 , 682 , [?] , 884 , 985", "answer0": "783", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 2, "explanation": "The pattern increases by 101 each time. 682 + 101 = 783.", "hints": ["Find the difference between consecutive numbers.", "Each term is 101 more than the one before."], "source": "St Hilda 2024 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 783." }, { "n": 18, "type_id": 2, "question": "Aiman had 2389 toy airplanes and 1762 toy cars at first. He gave away 325 toy cars. What was the total number of toy airplanes and cars left in the end? [?]", "answer0": "3826", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "Cars left = 1762 - 325 = 1437. Total = 2389 + 1437 = 3826.", "hints": ["Find how many cars are left first.", "Add the airplanes and remaining cars."], "source": "St Hilda 2024 P3 End of Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3826." }, { "n": 19, "type_id": 2, "question": "A bookshop had 9 boxes of pencils. Each box contained 6 pencils. The bookshop seller bought another 2 pencils and repacked all the pencils equally into 8 packets. How many pencils were packed into each packet? [?]", "answer0": "7", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "9 x 6 = 54 pencils. 54 + 2 = 56. 56 / 8 = 7 per packet.", "hints": ["Find the total pencils first: 9 x 6, then add 2.", "Divide the total by 8 packets."], "source": "St Hilda 2024 P3 End of Year Exam Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 7." }, { "n": 20, "type_id": 2, "question": "Mr Ling prepared some gift packs for Children's Day. There were 8 bars of chocolate and 5 sweets in each gift pack. There was a total of 195 sweets in all the gift packs. How many bars of chocolate were there altogether? [?]", "answer0": "312", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Number of gift packs = 195 / 5 = 39. Chocolate bars = 39 x 8 = 312.", "hints": ["Find the number of gift packs: total sweets divided by 5.", "Multiply the number of packs by 8 chocolate bars."], "source": "St Hilda 2024 P3 End of Year Exam Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 312." }, { "n": 21, "type_id": 2, "question": "Anusha wanted to buy a doll that cost $94.75. She had $36.50 in savings and her mother gave her $20. How much more money did she need to buy the doll? [?]", "answer0": "$38.25", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "Money she has = $36.50 + $20 = $56.50. Needed = $94.75 - $56.50 = $38.25.", "hints": ["Add her savings and her mother's money.", "Subtract that total from the doll's cost."], "source": "St Hilda 2024 P3 End of Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: $36.50 + $20 = $56.50; $94.75 - $56.50 = $38.25." }, { "n": 22, "type_id": 2, "question": "James ran 3 complete rounds around a 400 m running track. He walked for another 250 m. What was the total distance he ran and walked? Give your answer in kilometres and metres. [?] km [?] m", "answer0": "1", "answer1": "450", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 2, "explanation": "Ran = 400 x 3 = 1200 m. Total = 1200 + 250 = 1450 m = 1 km 450 m.", "hints": ["Find the running distance: 400 m x 3.", "Add the 250 m walked, then convert to km and m."], "source": "St Hilda 2024 P3 End of Year Exam Q22", "image_needed": true, "image_page": 11, "image_loc": "right of the question, a small oval labelled '400 m running track' with a 'start' marker", "image_options": false, "image_file": "q22.png", "notes": "Two blanks: km and m. Key: 1450 m = 1 km 450 m." }, { "n": 23, "type_id": 2, "question": "Arrange the fractions from the smallest to the greatest. 7/11, 1/3, 1/10 [?], [?], [?]", "answer0": "1/10", "answer1": "1/3", "answer2": "7/11", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "1/10 = 0.1, 1/3 approx 0.33, 7/11 approx 0.64. Smallest to greatest: 1/10, 1/3, 7/11.", "hints": ["A smaller fraction is closer to 0.", "Compare each fraction to a half to order them."], "source": "St Hilda 2024 P3 End of Year Exam Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering task converted to FIB; blanks are fractions smallest to greatest. Key: 1/10, 1/3, 7/11." }, { "n": 24, "type_id": 2, "question": "There are six angles in the figure. How many of the angles are greater than a right angle? [?]", "answer0": "3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 99, "difficulty_id": 2, "explanation": "The arrow/chevron figure has 3 angles larger than a right angle (the obtuse/reflex-side corners).", "hints": ["A right angle is 90 degrees; look for corners wider than a square's corner.", "Count the angles that open wider than 90 degrees."], "source": "St Hilda 2024 P3 End of Year Exam Q24", "image_needed": true, "image_page": 12, "image_loc": "below the question, an arrow/chevron-shaped figure in the upper half of the page", "image_options": false, "image_file": "q24.png", "notes": "Arrow/chevron figure with 6 angles. Key: 3." }, { "n": 25, "type_id": 0, "question": "Draw a line perpendicular to AB that passes through Point X.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 101, "difficulty_id": 2, "explanation": "Drawing task: draw a line through X that meets AB at a right angle.", "hints": [], "source": "St Hilda 2024 P3 End of Year Exam Q25", "image_needed": true, "image_page": 12, "image_loc": "below the question, a square grid with diagonal line AB and a marked Point X in the lower half of the page", "image_options": false, "image_file": "q25.png", "notes": "Interactive draw-on-grid task; no value answer. type_id 0, skipped on insert. Answer key shows the perpendicular drawn through X to AB." }, { "n": 26, "type_id": 2, "question": "Ming En had $289.60 at first. After spending $45 on a meal and receiving some money from his mother, he had $300.60. How much money did he receive from his mother? [?]", "answer0": "$56", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "After meal: $289.60 - $45 = $244.60. From mother: $300.60 - $244.60 = $56.", "hints": ["Find how much he had after the meal.", "Subtract that from his final amount."], "source": "St Hilda 2024 P3 End of Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Long-answer word problem [3 marks]. Key: $56." }, { "n": 27, "type_id": 2, "question": "There were 129 fewer students in the canteen than in the hall at first. 329 students moved from the hall to the canteen. How many more students were there in the canteen than in the hall in the end? [?]", "answer0": "529", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 3, "explanation": "Start gap: hall is 129 more than canteen. Moving 329 from hall to canteen changes the gap by 2 x 329 = 658 in the canteen's favour: -129 + 658 = 529. So canteen has 529 more.", "hints": ["Moving a student widens the gap by 2 each time.", "129 fewer becomes (2 x 329) - 129 more = 529."], "source": "St Hilda 2024 P3 End of Year Exam Q27", "image_needed": false, "image_options": false, "image_file": null, "notes": "Long-answer [3 marks]. Key working: 129+200=329; 329+200=529; 529 more in canteen." }, { "n": 28, "type_id": 2, "question": "Rei has 183 stickers. Ali has 129 stickers. How many stickers does Ali have to give to Rei so that Rei has two times the number of stickers that Ali has in the end? [?]", "answer0": "25", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Total = 183 + 129 = 312. For Rei to be twice Ali, Ali ends with 312 / 3 = 104. Rei ends with 208. Ali must give 129 - 104 = 25 stickers (check: 183 + 25 = 208 = 2 x 104).", "hints": ["The total number of stickers stays 312.", "Split 312 so Rei has 2 parts and Ali has 1 part; find how many Ali must pass over."], "source": "St Hilda 2024 P3 End of Year Exam Q28", "image_needed": false, "image_options": false, "image_file": null, "notes": "Long-answer [4 marks]. Key working: 183+129=312; 312/3=104; Rei 208; 208-183=25 given." } ] }