{
  "paper": {
    "school": "Tao Nan",
    "year": 2024,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "Tao Nan 2024 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which of the following is eight thousand and fifteen in numerals?",
      "answer0": "815",
      "answer1": "8015",
      "answer2": "80 015",
      "answer3": "800 015",
      "correct_answer": 1,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Eight thousand and fifteen = 8000 + 15 = 8015.",
      "hints": ["Eight thousand is 8000.", "Add fifteen (15) to 8000."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Complete the number pattern.\n9999, 9989, 9979, 9969, [?], 9949",
      "answer0": "9939",
      "answer1": "9950",
      "answer2": "9959",
      "answer3": "9960",
      "correct_answer": 2,
      "skill_id": 69,
      "difficulty_id": 1,
      "explanation": "The pattern decreases by 10 each time: 9969 - 10 = 9959.",
      "hints": ["Find the difference between consecutive terms.", "Each number is 10 less than the one before."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Stem shows the missing term as a blank; rendered as [?]."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "How many of the marked angles are acute angles?",
      "answer0": "5",
      "answer1": "6",
      "answer2": "7",
      "answer3": "8",
      "correct_answer": 0,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Of the angles marked on the arrow figure, 5 are smaller than a right angle (acute).",
      "hints": ["An acute angle is smaller than a right angle.", "Check each marked angle against a right angle."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q3",
      "image_needed": true,
      "image_page": 4,
      "image_loc": "below the question, an arrow-shaped figure with marked angles",
      "image_options": false,
      "image_file": "q3.png",
      "notes": "Answer key = 5 acute angles."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following fractions is not an equivalent fraction of 2/3?",
      "answer0": "4/6",
      "answer1": "6/9",
      "answer2": "8/15",
      "answer3": "12/18",
      "correct_answer": 2,
      "skill_id": 77,
      "difficulty_id": 2,
      "explanation": "4/6, 6/9 and 12/18 all simplify to 2/3. 8/15 does not, so it is not equivalent.",
      "hints": ["Simplify each fraction.", "2/3 equals 4/6, 6/9, 8/12, 10/15, 12/18 ..."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "What is the mass of the packet of flour?",
      "answer0": "2 kg 50 g",
      "answer1": "2 kg 60 g",
      "answer2": "2 kg 500 g",
      "answer3": "2 kg 600 g",
      "correct_answer": 3,
      "skill_id": 85,
      "difficulty_id": 2,
      "explanation": "The pointer on the weighing scale reads 2 kg 600 g.",
      "hints": ["Read where the needle points on the dial.", "The dial is marked in kg; estimate the grams between markings."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q5",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "below the question, a packet of flour on a dial weighing scale (0/1/2/3/4 kg)",
      "image_options": false,
      "image_file": "q5.png",
      "notes": "Answer key = 2 kg 600 g."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "What digit does the smiley face stand for?\n4 3 [smiley] 1\n- 1 2 3 4\n= 3 0 9 7",
      "answer0": "6",
      "answer1": "2",
      "answer2": "3",
      "answer3": "9",
      "correct_answer": 2,
      "skill_id": 70,
      "difficulty_id": 2,
      "explanation": "43[?]1 - 1234 = 3097, so 43[?]1 = 3097 + 1234 = 4331. The smiley = 3.",
      "hints": ["Add the answer back to the number subtracted.", "3097 + 1234 = 4331, so the missing digit is in the tens place."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q6",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "below the question, a vertical subtraction sum 43[smiley]1 minus 1234 equals 3097 with a smiley-face symbol in the tens place",
      "image_options": false,
      "image_file": "q6.png",
      "notes": "Answer key = 3. Smiley-face emoji is used as the unknown digit symbol; figure preserves layout."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "8753 is 80 tens more than [?].",
      "answer0": "7953",
      "answer1": "8673",
      "answer2": "8833",
      "answer3": "9553",
      "correct_answer": 0,
      "skill_id": 66,
      "difficulty_id": 2,
      "explanation": "80 tens = 800. 8753 - 800 = 7953.",
      "hints": ["80 tens = 80 x 10 = 800.", "Subtract 800 from 8753."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Stem blank rendered as [?]."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Isaac wants to buy an apple for 80¢, a bunch of bananas for $1.25 and an orange for 75¢. He only has $2.50. How much more money does he need?",
      "answer0": "$2.80",
      "answer1": "$2.00",
      "answer2": "$0.50",
      "answer3": "$0.30",
      "correct_answer": 3,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Total cost = $0.80 + $1.25 + $0.75 = $2.80. He needs $2.80 - $2.50 = $0.30 more.",
      "hints": ["Add up the three prices first.", "Subtract the $2.50 he has from the total cost."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The bar graph shows the number of points scored by four classes in a Math competition.\nWhich class scored the highest points in total?",
      "answer0": "3K",
      "answer1": "3L",
      "answer2": "3M",
      "answer3": "3N",
      "correct_answer": 1,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Totals: 3K = 12+5 = 17, 3L = 9+13 = 22, 3M = 4+17 = 21, 3N = 13+8 = 21. 3L scored highest.",
      "hints": ["Add the Boys and Girls bars for each class.", "Compare the four totals."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q9",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "below the question, a grouped bar graph 'Points scored by each class' with Boys and Girls bars for 3K, 3L, 3M, 3N",
      "image_options": false,
      "image_file": "q9.png",
      "notes": "Answer key = 2 (3L)."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "What is the area of the figure?",
      "answer0": "30 cm²",
      "answer1": "28 cm²",
      "answer2": "26 cm²",
      "answer3": "18 cm²",
      "correct_answer": 1,
      "skill_id": 95,
      "difficulty_id": 3,
      "explanation": "The octagon sits on a 6 by 6 grid (36 cm²) with four corner half-squares cut off (4 x 2 = 8 cm²). 36 - 8 = 28 cm².",
      "hints": ["Count whole squares, then add the half-squares.", "Each small square is 1 cm by 1 cm."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q10",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "below the question, an octagon drawn on a 1 cm square grid",
      "image_options": false,
      "image_file": "q10.png",
      "notes": "Answer key = 2 (28 cm²)."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Write 8619 in words.",
      "answer0": "Eight thousand, six hundred and nineteen",
      "answer1": "Eight thousand, six hundred and ninety",
      "answer2": "Eight thousand, sixteen and nineteen",
      "answer3": "Eight thousand, six hundred and nine",
      "correct_answer": 0,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "8619 = eight thousand, six hundred and nineteen.",
      "hints": ["Break into thousands, hundreds, tens and ones.", "19 is written as nineteen."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Word answer converted to MCQ per spec; answer key = 'Eight thousand, six hundred and nineteen.'"
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "A shirt has 7 buttons. How many buttons are there on 357 similar shirts?",
      "answer0": "2499",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "357 x 7 = 2499 buttons.",
      "hints": ["Multiply the number of buttons per shirt by the number of shirts.", "357 x 7."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key = 2499."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Find the value of the telephone.\n[telephone] × 6 = 822",
      "answer0": "137",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "Telephone = 822 ÷ 6 = 137.",
      "hints": ["Use division to undo the multiplication.", "822 ÷ 6."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Telephone emoji is the unknown; answer key = 137."
    },
    {
      "n": 14,
      "type_id": 0,
      "question": "Draw a line parallel to line AB that passes through point C.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 101,
      "difficulty_id": 2,
      "explanation": "Draw a line through C with the same slope (gradient) as AB on the grid.",
      "hints": ["Parallel lines have the same slant.", "Count the grid steps of AB and repeat them from C."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q14",
      "image_needed": true,
      "image_page": 10,
      "image_loc": "below the question, a square grid with diagonal line AB and a point C marked below it",
      "image_options": false,
      "image_file": "q14.png",
      "notes": "Interactive draw-on-grid task; no value answer, type_id 0 (skipped on insert). Answer key shows a line through C parallel to AB."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "7/10 - 2/5 = [?]",
      "answer0": "3/10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "2/5 = 4/10. 7/10 - 4/10 = 3/10.",
      "hints": ["Make the denominators the same.", "2/5 = 4/10."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key = 3/10."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Use all the digits 8, 2, 0, 1 to form the smallest 4-digit odd number.",
      "answer0": "2081",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 68,
      "difficulty_id": 3,
      "explanation": "Odd number must end in 1. Leading digit can't be 0, so smallest start is 2: 2081.",
      "hints": ["An odd number ends in an odd digit (here, 1).", "The first digit cannot be 0; use the next smallest."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key = 2081."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "The numbers in each row and column add up to 370. Fill in the missing numbers in the boxes.",
      "answer0": "135",
      "answer1": "115",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Bottom row: 370 - 110 - 125 = 135 (centre). Centre column: 370 - 120 - 135 = 115.",
      "hints": ["Each line of numbers sums to 370.", "Solve the row with two known numbers first, then the column."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q17",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "below the question, a cross/plus-shaped grid of boxes (120 top; 115 below it; 110, 135, 125 in the bottom row) with two empty boxes",
      "image_options": false,
      "image_file": "q17.png",
      "notes": "Answer key: missing centre box = 135, box above = 115 (order: bottom-centre then second-row). [?] blanks: answer0=135, answer1=115."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Ahmad has $21.30. Peter has $3.20 less than Ahmad. How much do the two boys have altogether?",
      "answer0": "$39.40",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Peter = $21.30 - $3.20 = $18.10. Altogether = $21.30 + $18.10 = $39.40.",
      "hints": ["First find how much Peter has.", "Then add both amounts together."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key = $39.40."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Arrange these fractions from the smallest to the greatest.\n3/4, 4/9, 4/11, 5/8",
      "answer0": "4/11",
      "answer1": "4/9",
      "answer2": "5/8",
      "answer3": "3/4",
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 3,
      "explanation": "As decimals: 4/11 ≈ 0.36, 4/9 ≈ 0.44, 5/8 = 0.625, 3/4 = 0.75. Smallest to greatest: 4/11, 4/9, 5/8, 3/4.",
      "hints": ["Convert each fraction to a decimal to compare.", "Smaller fraction has a smaller decimal value."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ordering task converted to FIB, one [?] per position. Answer key order: 4/11, 4/9, 5/8, 3/4."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Mdm Lim drove from her house to her office. After that, she drove to the supermarket to buy groceries before driving home. Mdm Lim drove a total distance of 5 km 375 m. What was the distance between the supermarket and her house?\nHouse to Office: 2 km 225 m. Office to Supermarket: 1 km 750 m.",
      "answer0": "1 km 400 m",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Total 5375 m - 2225 m = 3150 m for the remaining two legs. 3150 m - 1750 m = 1400 m = 1 km 400 m.",
      "hints": ["Convert the distances to metres first.", "Subtract the two known legs from the total."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q20",
      "image_needed": true,
      "image_page": 13,
      "image_loc": "below the question, a triangular route diagram linking Office, House and Supermarket with distances 2 km 225 m and 1 km 750 m, and a '?' on the supermarket-to-house leg",
      "image_options": false,
      "image_file": "q20.png",
      "notes": "Answer key = 1 km 400 m. Leg distances appear only on the figure; restated in stem for grading."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Mrs Lee had 500 sweets. She gave some of the sweets to her students. After giving each student 6 sweets, she had 56 sweets left.\n(a) How many sweets did she give to her students in total?\n(b) How many students were there?",
      "answer0": "444",
      "answer1": "74",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "(a) 500 - 56 = 444 sweets given. (b) 444 ÷ 6 = 74 students.",
      "hints": ["(a) Subtract the leftover sweets from the total.", "(b) Divide the sweets given by 6 per student."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question. answer0 = part (a) 444, answer1 = part (b) 74."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "The Tan family shared a pizza. Mr Tan ate 5/12 of the pizza. Mrs Tan ate 1/3 of the pizza. The rest of the pizza was eaten by their son.\n(a) What fraction of the pizza was eaten by Mr and Mrs Tan altogether? Give your answer in the simplest form.\n(b) What fraction of the pizza was eaten by their son? Give your answer in the simplest form.",
      "answer0": "3/4",
      "answer1": "1/4",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "(a) 5/12 + 1/3 = 5/12 + 4/12 = 9/12 = 3/4. (b) 12/12 - 9/12 = 3/12 = 1/4.",
      "hints": ["Make the denominators the same (twelfths).", "The whole pizza is 12/12; subtract what the parents ate for the son's share."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question. answer0 = part (a) 3/4, answer1 = part (b) 1/4."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Adam, Ben and Clare had 2659 stickers altogether. Ben had 162 more stickers than Adam. Clare had 137 fewer stickers than Adam. How many stickers did Adam have?",
      "answer0": "878",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Remove differences: 2659 - 162 + 137 = 2634; 3 equal shares = 2634 ÷ 3 = 878. Adam had 878. (Key: 2659 - 162 = 2497; 2497 - 274 = 2223; 2223 ÷ 3 = 741; 741 + 137 = 878.)",
      "hints": ["Express Ben and Clare in terms of Adam.", "3 x Adam + 162 - 137 = 2659."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key = 878 stickers."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Samantha watched two movies continuously at the cinema. The first movie lasted for 2 h 15 min. The second movie lasted for 1 h 50 min.\n(a) How long did Samantha spend watching the two movies? Give your answer in h and min.\n(b) She started watching the first movie at 14 25. What time did she finish watching the second movie?",
      "answer0": "4 h 5 min",
      "answer1": "18 30",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 3,
      "explanation": "(a) 2 h 15 min + 1 h 50 min = 135 min + 110 min = 245 min = 4 h 5 min. (b) 14 25 + 4 h 5 min = 18 30.",
      "hints": ["(a) Add the hours and minutes; convert 60 min to 1 h.", "(b) Add the total duration to the 14 25 start time."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question. answer0 = part (a) 4 h 5 min, answer1 = part (b) 18 30 (key shows '1830')."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "The length of a rectangle is twice its breadth. The perimeter of the rectangle is 54 m.\n(a) What is the length of the rectangle?\n(b) What is the area of the rectangle?",
      "answer0": "18 m",
      "answer1": "162 m²",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 3,
      "explanation": "Perimeter = 2(L + B) with L = 2B, so 6B = 54, B = 9 m, L = 18 m. Area = 18 x 9 = 162 m².",
      "hints": ["(a) One length + one breadth = half the perimeter = 27 m; with L = 2B, 3B = 27.", "(b) Area = length x breadth."],
      "source": "Tao Nan 2024 P3 End of Year Exam Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question. answer0 = part (a) 18 m, answer1 = part (b) 162 m². Blank rectangle box on page is a workspace, not a data figure."
    }
  ]
}