{ "paper": { "school": "Pei Hwa Presbyterian Primary School", "year": 2024, "level": "P3", "label": "End of Year Exam", "source_prefix": "Pei Hwa 2024 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 3780, the digit 7 is in the [?] place.", "answer0": "ones", "answer1": "tens", "answer2": "hundreds", "answer3": "thousands", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "In 3780, reading from the right: 0 ones, 8 tens, 7 hundreds, 3 thousands. So the digit 7 is in the hundreds place.", "hints": ["Read the place values from the right: ones, tens, hundreds, thousands.", "The 7 sits third from the right."], "source": "Pei Hwa 2024 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (hundreds)." }, { "n": 2, "type_id": 1, "question": "Which digit in the two numbers 1357 and 7153 has the same value?", "answer0": "1", "answer1": "5", "answer2": "3", "answer3": "7", "correct_answer": 1, "skill_id": 66, "difficulty_id": 2, "explanation": "In 1357 the 5 is in the tens place (value 50). In 7153 the 5 is also in the tens place (value 50). The other digits sit in different places, so only 5 has the same value in both numbers.", "hints": ["Find the place value of each digit in both numbers.", "Look for the digit that sits in the same place in both numbers."], "source": "Pei Hwa 2024 P3 End of Year Exam Q2", "image_needed": true, "image_options": false, "image_file": "q2.png", "image_page": 3, "image_loc": "two boxed numbers (1357 and 7153) below the question, upper-middle of page", "notes": "Key: option 2 (5). Figure is the two boxed numbers." }, { "n": 3, "type_id": 1, "question": "What is the missing number?", "answer0": "10", "answer1": "12", "answer2": "15", "answer3": "30", "correct_answer": 2, "skill_id": 77, "difficulty_id": 2, "explanation": "2/5 = 6/?. The numerator 2 is multiplied by 3 to give 6, so the denominator 5 is also multiplied by 3, giving 15.", "hints": ["The numerator went from 2 to 6 — what did you multiply by?", "Multiply the denominator by the same number."], "source": "Pei Hwa 2024 P3 End of Year Exam Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 4, "image_loc": "equation 2/5 = 6/[?] near top-middle of page", "notes": "Key: option 3 (15). Equivalent fraction with denominator missing." }, { "n": 4, "type_id": 1, "question": "Write 4 kg 26 g in grams.", "answer0": "426 g", "answer1": "4026 g", "answer2": "4206 g", "answer3": "4260 g", "correct_answer": 1, "skill_id": 86, "difficulty_id": 2, "explanation": "1 kg = 1000 g, so 4 kg = 4000 g. 4000 g + 26 g = 4026 g.", "hints": ["1 kg = 1000 g.", "Add the grams to the converted kilograms."], "source": "Pei Hwa 2024 P3 End of Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2 (4026 g)." }, { "n": 5, "type_id": 1, "question": "How many of the marked angles inside the figure are acute angles?", "answer0": "5", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 99, "difficulty_id": 2, "explanation": "An acute angle is smaller than a right angle. Of the marked angles in the figure, 3 are smaller than a right angle.", "hints": ["An acute angle is smaller than a right angle (less than a square corner).", "Compare each marked angle with a right angle."], "source": "Pei Hwa 2024 P3 End of Year Exam Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 5, "image_loc": "irregular polygon figure with marked angles, below the question near top of page", "notes": "Key: option 3 (3). Count-verify against figure." }, { "n": 6, "type_id": 1, "question": "What is the missing fraction?", "answer0": "1/3", "answer1": "2/5", "answer2": "3/4", "answer3": "4/9", "correct_answer": 2, "skill_id": 79, "difficulty_id": 2, "explanation": "3/7 < 1/2 < ?. The missing fraction must be greater than 1/2. 3/4 = 0.75 is greater than 1/2; 1/3, 2/5 and 4/9 are all less than 1/2. So the answer is 3/4.", "hints": ["The missing fraction must be greater than 1/2.", "Compare each option with one half."], "source": "Pei Hwa 2024 P3 End of Year Exam Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 5, "image_loc": "inequality 3/7 < 1/2 < [?] in the middle of the page", "notes": "Key: option 3 (3/4)." }, { "n": 7, "type_id": 1, "question": "Which of the two figures have the same perimeter?", "answer0": "A and C", "answer1": "A and D", "answer2": "B and C", "answer3": "B and D", "correct_answer": 2, "skill_id": 96, "difficulty_id": 3, "explanation": "Count the unit edges around each shaded figure on the grid. Figures B and C have equal perimeters.", "hints": ["Count the number of unit-length sides around each figure.", "Each small square side is 1 unit."], "source": "Pei Hwa 2024 P3 End of Year Exam Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 6, "image_loc": "square grid with four outlined figures A, B, C, D and a '1 unit' scale, upper-middle of page", "notes": "Key: option 3 (B and C). Perimeter on a unit grid." }, { "n": 8, "type_id": 1, "question": "A bakery sold a set of doughnut and sandwich for a total of $3. Ariel used all these notes and coins to pay for the items. How many sets of doughnuts and sandwiches did Ariel buy in total?", "answer0": "16", "answer1": "12", "answer2": "8", "answer3": "4", "correct_answer": 2, "skill_id": 83, "difficulty_id": 2, "explanation": "The money shown is $10 + $5 + $5 + $2 + $1 + $1 = $24. Each set costs $3, so 24 / 3 = 8 sets.", "hints": ["Add up all the notes and coins to find the total amount paid.", "Divide the total by the price of one set ($3)."], "source": "Pei Hwa 2024 P3 End of Year Exam Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 7, "image_loc": "two figures: the $3 doughnut-and-sandwich set with price tag (top) and the box of notes/coins ($10, two $5, $2, two $1 coins) below the line 'Ariel used all these notes and coins to pay for the items'", "notes": "Key: option 3 (8). Money total $24 / $3 = 8. Two figures combined into q8.png." }, { "n": 9, "type_id": 1, "question": "Noah is 28 kg. Jeremy is 3 kg lighter than Noah. What is their total mass?", "answer0": "25 kg", "answer1": "31 kg", "answer2": "53 kg", "answer3": "59 kg", "correct_answer": 2, "skill_id": 87, "difficulty_id": 2, "explanation": "Jeremy = 28 - 3 = 25 kg. Total = 28 + 25 = 53 kg.", "hints": ["First find Jeremy's mass: 28 kg minus 3 kg.", "Then add Noah's and Jeremy's masses."], "source": "Pei Hwa 2024 P3 End of Year Exam Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (53 kg)." }, { "n": 10, "type_id": 1, "question": "Zan had some stickers at first. He gave 138 stickers to each of his 6 friends. He had 3 stickers left. How many stickers did Zan have at first?", "answer0": "26", "answer1": "825", "answer2": "828", "answer3": "831", "correct_answer": 3, "skill_id": 76, "difficulty_id": 2, "explanation": "He gave away 138 x 6 = 828 stickers. With 3 left over, he had 828 + 3 = 831 stickers at first.", "hints": ["Find how many stickers he gave away in total: 138 x 6.", "Add the 3 stickers he had left."], "source": "Pei Hwa 2024 P3 End of Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4 (831)." }, { "n": 11, "type_id": 2, "question": "What is five thousand and four in numerals?", "answer0": "5009", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 67, "difficulty_id": 1, "explanation": "Five thousand and four = 5000 + 4 = 5004.", "hints": ["Five thousand is 5000.", "Add 4 to the thousands."], "source": "Pei Hwa 2024 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key prints '5009', but five thousand and four = 5004. The key value is a typo; correct answer is 5004." }, { "n": 12, "type_id": 2, "question": "What is the missing number in the pattern? 1620, 1720, 1820, 1920, [?], 2120", "answer0": "2020", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 1, "explanation": "The pattern increases by 100 each time: 1920 + 100 = 2020.", "hints": ["Find the difference between consecutive terms.", "Each number is 100 more than the one before."], "source": "Pei Hwa 2024 P3 End of Year Exam Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2020." }, { "n": 13, "type_id": 2, "question": "In the number line, what is the value represented by X?", "answer0": "55", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 68, "difficulty_id": 2, "explanation": "The number line runs from 30 to 70 (a span of 40) divided into 8 equal intervals, so each interval is 5. X is at the 5th mark from 30: 30 + 5 x 5 = 55.", "hints": ["Find the size of one interval: (70 - 30) divided by the number of intervals.", "Count the intervals from 30 to X."], "source": "Pei Hwa 2024 P3 End of Year Exam Q13", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 9, "image_loc": "horizontal number line marked 30 on the left and 70 on the right with X under a mark just past the middle, lower part of page", "notes": "Key: 55." }, { "n": 14, "type_id": 2, "question": "What is the area of the square shown? Ans: [?] cm²", "answer0": "64", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 1, "explanation": "Area of a square = side x side = 8 x 8 = 64 cm².", "hints": ["Area of a square = side x side.", "Each side is 8 cm."], "source": "Pei Hwa 2024 P3 End of Year Exam Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 10, "image_loc": "a square with '8 cm' labelled along its top edge, near the top of the page", "notes": "Key: 8 x 8 = 64. Answer expected in cm²." }, { "n": 15, "type_id": 0, "question": "Draw a line perpendicular to the given line that passes through the point. Use a set-square to help you. Mark the right angle for this pair of perpendicular lines.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 101, "difficulty_id": 2, "explanation": "Construction task: draw a line through the marked point that meets the given diagonal line at a right angle, and mark the right angle symbol.", "hints": ["Use a set-square to make a right angle with the given line.", "The new line must pass through the marked point."], "source": "Pei Hwa 2024 P3 End of Year Exam Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 10, "image_loc": "square grid with a diagonal line and a dot (point) above it, middle of page", "notes": "Interactive draw/construct task — no value answer. type_id 0, skipped on insert. Key page 17 shows the drawn perpendicular line with a right-angle mark." }, { "n": 16, "type_id": 2, "question": "What are the missing fractions? Express each fraction in its simplest form. (a) 3/5 - 1/10 = [?] (b) [?] - 1/3 = 5/9", "answer0": "1/2", "answer1": "8/9", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 2, "explanation": "(a) 3/5 = 6/10, so 6/10 - 1/10 = 5/10 = 1/2. (b) 5/9 + 1/3 = 5/9 + 3/9 = 8/9.", "hints": ["Make the denominators the same before subtracting.", "(b) Add 1/3 to 5/9 to find the missing fraction."], "source": "Pei Hwa 2024 P3 End of Year Exam Q16", "image_needed": true, "image_options": false, "image_file": "q16.png", "image_page": 11, "image_loc": "two fraction equations: (a) 3/5 - 1/10 = [?] near the top and (b) [?] - 1/3 = 5/9 in the middle of the page", "notes": "Key: a) 1/2 b) 8/9. Two blanks in order (answer0 = part a, answer1 = part b)." }, { "n": 17, "type_id": 2, "question": "There are two numbers. The difference between these two numbers is 786. The greater number is 932. Find the sum of these two numbers.", "answer0": "1078", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "Smaller number = 932 - 786 = 146. Sum = 932 + 146 = 1078.", "hints": ["Find the smaller number first: 932 minus 786.", "Then add the two numbers together."], "source": "Pei Hwa 2024 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1078." }, { "n": 18, "type_id": 2, "question": "There are 17 red apples and 20 green apples in a box. How many apples are there in 7 similar boxes?", "answer0": "259", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Apples in 1 box = 17 + 20 = 37. In 7 boxes = 37 x 7 = 259.", "hints": ["Find the total apples in one box first.", "Multiply by the number of boxes."], "source": "Pei Hwa 2024 P3 End of Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 259." }, { "n": 19, "type_id": 2, "question": "Drumsticks are sold in boxes of 6. Mrs Tan needs to get 70 drumsticks for a party. What is the least number of boxes of drumsticks that Mrs Tan needs to buy?", "answer0": "12", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 2, "explanation": "70 / 6 = 11 remainder 4. 11 boxes give only 66 drumsticks, so she needs 1 more box. 11 + 1 = 12 boxes.", "hints": ["Divide 70 by 6 and look at the remainder.", "If there is a remainder, round up to the next whole box."], "source": "Pei Hwa 2024 P3 End of Year Exam Q19", "image_needed": true, "image_options": false, "image_file": "q19.png", "image_page": 12, "image_loc": "small drawing of a box of drumsticks, left side below the question text", "notes": "Key: 70 / 6 = 11 r4, 11 + 1 = 12. Figure is decorative drumstick box." }, { "n": 20, "type_id": 0, "question": "The graph shows the number of stickers collected by 4 students in a week. (a) Who collected the least number of stickers? (b) How many fewer stickers did Chloe collect than Billy?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "(a) From the bar graph, Amos has the shortest bar, so Amos collected the least. (b) Billy collected about 48 and Chloe about 22; 48 - 22 = 26.", "hints": ["(a) Find the shortest bar.", "(b) Subtract Chloe's value from Billy's value."], "source": "Pei Hwa 2024 P3 End of Year Exam Q20", "image_needed": true, "image_options": false, "image_file": "q20.png", "image_page": 13, "image_loc": "bar graph titled 'Stickers collected in a week' with bars for Amos, Billy, Chloe, Diana; y-axis 'Number of stickers' 0-50, upper-middle of page", "notes": "Mixed-answer-type sub-parts: (a) is a word/name answer ('Amos') and (b) is a numeric answer (26). Cannot be one clean FIB nor MCQ, so type_id 0 (skipped on insert). Key: a) Amos b) 26." }, { "n": 21, "type_id": 0, "question": "", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Stem unavailable. Answer key: a) 120 / 6 = 20; b) 120 / 9 = 13 r3; final Ans: 3.", "hints": [], "source": "Pei Hwa 2024 P3 End of Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "MISSING STEM: the booklet page containing Q21 (and Q22) was not present in the scanned PDF — the rendered pages jump from Q20 (booklet p.11) to Q23 (booklet p.14). Stem could not be transcribed verbatim, so type_id 0 (skipped on insert) to avoid fabrication. Answer key only: a) 120 / 6 = 20, b) 120 / 9 = 13 r3, Ans: 3." }, { "n": 22, "type_id": 0, "question": "", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 2, "explanation": "Stem unavailable. Answer key: a) 455 / 7 = 65, 65 x 2 = 130; b) 4km 95m.", "hints": [], "source": "Pei Hwa 2024 P3 End of Year Exam Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "MISSING STEM: same missing booklet page as Q21. Stem not in scanned PDF, so type_id 0 (skipped on insert) to avoid fabrication. Answer key only: a) 455 / 7 = 65 then 65 x 2 = 130, b) 4km 95m." }, { "n": 23, "type_id": 0, "question": "The graph shows the number of books read by some children on Monday. The bar for comic books has not been drawn. (a) How many horror books were read by the children? (b) On Monday, the children read twice as many comic books as horror books. Show your method and draw the bar for the number of comic books read by the children on Monday. (c) The children read 10 fewer adventure books on Tuesday than on Monday. How many adventure books were read by the children on Tuesday?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "(a) The horror bar reaches 8, so 8 horror books. (b) Comic = 2 x 8 = 16, so draw the comic bar to 16. (c) Adventure on Monday = 36; on Tuesday = 36 - 10 = 26.", "hints": ["(a) Read the length of the horror bar.", "(b) Double the horror value to get the comic value.", "(c) Subtract 10 from the Monday adventure value."], "source": "Pei Hwa 2024 P3 End of Year Exam Q23", "image_needed": true, "image_options": false, "image_file": "q23.png", "image_page": 14, "image_loc": "horizontal bar graph titled 'Books read by children on Monday' with rows Comic (blank), Horror, Adventure and x-axis 0-40, upper-left of page", "notes": "Includes a 'draw the bar' construction sub-part (b), so type_id 0 (skipped on insert). Key: a) 8 b) 8 x 2 = 16 c) 36 - 10 = 26." }, { "n": 24, "type_id": 2, "question": "Both Vic and Dan were at the kitchen. (a) Vic took 1 h 50 min to bake a pizza. He started baking at 08 10. What time did he finish baking the pizza? Ans: (a) [?] (b) Dan took 30 minutes more than Vic to bake a cake. How much time did Dan take to bake the cake? Ans: (b) [?] (c) Dan finished baking the cake at 11 30. What time did he start baking the cake? Leave your answer in 24-hour clock. Ans: (c) [?]", "answer0": "1000", "answer1": "2 h 20 min", "answer2": "0910", "answer3": null, "correct_answer": null, "skill_id": 92, "difficulty_id": 3, "explanation": "(a) 08 10 + 1 h 50 min = 10 00. (b) Vic took 1 h 50 min, so Dan took 1 h 50 min + 30 min = 2 h 20 min. (c) 11 30 minus 2 h 20 min = 09 10.", "hints": ["(a) Add 1 h 50 min to the start time 08 10.", "(b) Add 30 min to Vic's 1 h 50 min.", "(c) Subtract Dan's baking time from his finish time 11 30."], "source": "Pei Hwa 2024 P3 End of Year Exam Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Three blanks in order (a, b, c). The (c) part also asks to draw a timeline, but the required value answer is 09 10, so kept as FIB. Key: a) 1000 b) 2h 20min c) 0910." }, { "n": 25, "type_id": 2, "question": "A shop sold pens at $3 each and files at $4 each. (a) Mrs Goh bought 15 files. How much did she pay for the files? Ans: (a) [?] (b) Mr Lim bought a total of 18 pens and files for $61. How many pens and files did he buy? Ans: (b) pens: [?] files: [?]", "answer0": "$60", "answer1": "11", "answer2": "7", "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "(a) 15 files x $4 = $60. (b) If all 18 were pens: 18 x $3 = $54, which is $7 short of $61. Each file costs $1 more than a pen, so 7 files and 18 - 7 = 11 pens. Check: 11 x $3 + 7 x $4 = $33 + $28 = $61.", "hints": ["(a) Multiply the number of files by $4.", "(b) Guess-and-check or assume all pens, then swap pens for files to make up the difference."], "source": "Pei Hwa 2024 P3 End of Year Exam Q25", "image_needed": true, "image_options": false, "image_file": "q25.png", "image_page": 16, "image_loc": "two labelled drawings: a pen tagged '$3 each' and a file tagged '$4 each', top-left of page", "notes": "Three blanks in order: (a) amount, then (b) pens then files. Key: a) 15 x 4 = 60 ($60) b) 11 pens, 7 files. Pen price $3 / file price $4 are given only in the figure tags." } ] }