{
  "paper": {
    "school": "CHIJ St Nicholas Girls' School",
    "year": 2023,
    "level": "P3",
    "label": "End of Year Exam",
    "source_prefix": "St Nicholas 2023 P3 End of Year Exam",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "2 thousands 2 tens is the same as [?].",
      "answer0": "202",
      "answer1": "2002",
      "answer2": "2020",
      "answer3": "2200",
      "correct_answer": 2,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "2 thousands = 2000, 2 tens = 20. 2000 + 20 = 2020.",
      "hints": ["1 thousand = 1000, 1 ten = 10.", "Add the place values: 2000 + 20."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q1 = option 3 (0-based 2)"
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "[?] is 100 less than 4902.",
      "answer0": "5002",
      "answer1": "4802",
      "answer2": "4800",
      "answer3": "3902",
      "correct_answer": 1,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "4902 - 100 = 4802.",
      "hints": ["100 less means subtract 100.", "Reduce the hundreds digit by 1."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q2 = option 2 (0-based 1)"
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "What is the value of 3098 + 5167?",
      "answer0": "8155",
      "answer1": "8165",
      "answer2": "8255",
      "answer3": "8265",
      "correct_answer": 3,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "3098 + 5167 = 8265.",
      "hints": ["Add the ones: 8 + 7 = 15, carry 1.", "Add column by column."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q3 = option 4 (0-based 3)"
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Amirah has 7 boxes of cupcakes. There are 8 cupcakes in each box. How many cupcakes does Amirah have altogether?",
      "answer0": "56",
      "answer1": "49",
      "answer2": "48",
      "answer3": "15",
      "correct_answer": 0,
      "skill_id": 76,
      "difficulty_id": 1,
      "explanation": "7 boxes x 8 cupcakes = 56 cupcakes.",
      "hints": ["Multiply boxes by cupcakes per box.", "7 x 8 = 56."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q4 = option 1 (0-based 0)"
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "5 km 9 m = [?] m",
      "answer0": "509",
      "answer1": "590",
      "answer2": "5009",
      "answer3": "5900",
      "correct_answer": 2,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "5 km = 5000 m. 5000 m + 9 m = 5009 m.",
      "hints": ["1 km = 1000 m.", "5 km = 5000 m, then add 9 m."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q5 = option 3 (0-based 2)"
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "How many minutes are there in 2 h 18 min?",
      "answer0": "218 min",
      "answer1": "138 min",
      "answer2": "120 min",
      "answer3": "102 min",
      "correct_answer": 1,
      "skill_id": 91,
      "difficulty_id": 1,
      "explanation": "2 h = 120 min. 120 + 18 = 138 min.",
      "hints": ["1 hour = 60 minutes.", "2 x 60 = 120, then add 18."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q6 = option 2 (0-based 1)"
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Arrange the following fractions from the smallest to the greatest. 2/3 , 1/4 , 5/12",
      "answer0": "1/4 , 5/12 , 2/3",
      "answer1": "1/4 , 2/3 , 5/12",
      "answer2": "2/3 , 5/12 , 1/4",
      "answer3": "5/12 , 2/3 , 1/4",
      "correct_answer": 0,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Convert to twelfths: 2/3 = 8/12, 1/4 = 3/12, 5/12. Order smallest to greatest: 3/12, 5/12, 8/12, i.e. 1/4, 5/12, 2/3.",
      "hints": ["Use a common denominator of 12.", "Compare the numerators once denominators match."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q7 = option 1 (0-based 0)"
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "How many of the marked angles in the figure are greater than a right angle?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "7",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Of the marked angles in the figure, 4 are greater than a right angle.",
      "hints": ["A right angle is 90 degrees.", "Compare each marked angle to a corner of a square."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q8",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "below the question, irregular polygon with marked angles",
      "image_options": false,
      "image_file": null,
      "notes": "key Q8 = option 4 (0-based 3); figure required to count angles"
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The figure is a square. The length of AB is 8 cm. What is the area of the square?",
      "answer0": "64 cm2",
      "answer1": "32 cm2",
      "answer2": "16 cm2",
      "answer3": "8 cm2",
      "correct_answer": 0,
      "skill_id": 97,
      "difficulty_id": 1,
      "explanation": "Area of square = side x side = 8 cm x 8 cm = 64 cm2.",
      "hints": ["All sides of a square are equal.", "Area = length x breadth."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q9",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "top, square ABCD labelled with side 8 cm",
      "image_options": false,
      "image_file": null,
      "notes": "key Q9 = option 1 (0-based 0)"
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "The difference between two numbers is 670. The smaller number is 1780. Find the sum of the two numbers.",
      "answer0": "2450",
      "answer1": "3120",
      "answer2": "4130",
      "answer3": "4230",
      "correct_answer": 3,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Larger number = 1780 + 670 = 2450. Sum = 1780 + 2450 = 4230.",
      "hints": ["Find the larger number first.", "Add the difference to the smaller number, then add both."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q10 = option 4 (0-based 3)"
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Jinny has $249. Karthi has three times as much as Jinny. How much do they have altogether?",
      "answer0": "$255",
      "answer1": "$498",
      "answer2": "$747",
      "answer3": "$996",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Karthi = 3 x $249 = $747. Together = $249 + $747 = $996.",
      "hints": ["Find Karthi's amount first.", "Add Jinny's and Karthi's amounts."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q11 = option 4 (0-based 3)"
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "The length of Bar A and Bar B is the same. Bar B is made up of 3 equal parts. What is the value of the shaded part?",
      "answer0": "18",
      "answer1": "21",
      "answer2": "22",
      "answer3": "27",
      "correct_answer": 1,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Bar A = 7 units of 9 = 63. Bar B has the same length split into 3 equal parts: 63 / 3 = 21. The shaded part is one part = 21.",
      "hints": ["Find the total value of Bar A first (7 nines).", "Divide by 3 to find one part of Bar B."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q12",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "top, model with Bar A (seven 9s) above Bar B (3 parts, first shaded)",
      "image_options": false,
      "image_file": null,
      "notes": "key Q12 = option 2 (0-based 1)"
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "A movie starts at 7.25 p.m. It is now 15 minutes to seven. How long will it be before the movie starts?",
      "answer0": "10 min",
      "answer1": "25 min",
      "answer2": "40 min",
      "answer3": "45 min",
      "correct_answer": 2,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "15 minutes to seven = 6.45 p.m. From 6.45 to 7.25 is 40 minutes.",
      "hints": ["'15 minutes to seven' means 6.45 p.m.", "Count forward from 6.45 to 7.25."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q13 = option 3 (0-based 2)"
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "How much more was the greatest amount of money collected than the least amount of money collected?",
      "answer0": "$840",
      "answer1": "$580",
      "answer2": "$320",
      "answer3": "$260",
      "correct_answer": 2,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the bar graph, greatest (3B) = $580, least (3A) = $260. $580 - $260 = $320.",
      "hints": ["Read the tallest and shortest bars.", "Subtract the least from the greatest."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q14",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "top, bar graph 'Amount of money collected for charity' for classes 3A-3D",
      "image_options": false,
      "image_file": null,
      "notes": "key Q14 = option 3 (0-based 2); bar graph required"
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "The figure is made up of 24 rectangles. How many more rectangles must be shaded to show 5/12?",
      "answer0": "1",
      "answer1": "6",
      "answer2": "7",
      "answer3": "10",
      "correct_answer": 1,
      "skill_id": 77,
      "difficulty_id": 2,
      "explanation": "5/12 of 24 = 10 rectangles. 4 are already shaded. 10 - 4 = 6 more rectangles.",
      "hints": ["Find 5/12 of 24 rectangles.", "Subtract the rectangles already shaded."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q15",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "below the question, 4x6 grid of rectangles with 4 shaded",
      "image_options": false,
      "image_file": null,
      "notes": "key Q15 = option 2 (0-based 1); 4 rectangles already shaded"
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "What is the value of 9003 - 1279?",
      "answer0": "7724",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "9003 - 1279 = 7724.",
      "hints": ["Subtract with regrouping.", "Borrow across the zeros."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q16 = 7724"
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "What is the missing number in the pattern? 4930 , 4690 , 4450 , 4210 , [?] , 3730",
      "answer0": "3970",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "Each term decreases by 240. 4210 - 240 = 3970.",
      "hints": ["Find the difference between consecutive terms.", "The pattern decreases by 240 each time."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q17 = 3970"
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "[?] + $3.95 = $10",
      "answer0": "6.05",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 82,
      "difficulty_id": 1,
      "explanation": "$10 - $3.95 = $6.05.",
      "hints": ["Subtract $3.95 from $10.", "Answer is in dollars and cents."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q18 = $6.05; answer recorded without $ sign"
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "The mass of a bag is shown on the kitchen scale. What is the mass of the bag?",
      "answer0": "4",
      "answer1": "600",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 85,
      "difficulty_id": 2,
      "explanation": "The needle points to 4 kg 600 g, i.e. 4 kg and 600 g.",
      "hints": ["Read the kg value the needle points to.", "Each small mark is 100 g."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q19",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "top left, bag resting on a circular dial kitchen scale (0-7 kg)",
      "image_options": false,
      "image_file": null,
      "notes": "key Q19 = 4 kg 600 g; answer blanks are kg then g"
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "1/4 + 5/8 = [?]",
      "answer0": "7/8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "1/4 = 2/8. 2/8 + 5/8 = 7/8.",
      "hints": ["Make the denominators the same.", "1/4 = 2/8, then add."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q20 = 7/8"
    },
    {
      "n": 21,
      "type_id": 1,
      "question": "Look at the letters H A M L E T. Which 2 letters have both perpendicular and parallel lines?",
      "answer0": "H and E",
      "answer1": "A and M",
      "answer2": "M and T",
      "answer3": "L and T",
      "correct_answer": 0,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "H and E each have both perpendicular lines (meeting at right angles) and parallel lines.",
      "hints": ["Perpendicular lines meet at right angles; parallel lines never meet.", "Check which letters have horizontal strokes meeting vertical ones."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q21 = H and E; letter answer rendered as MCQ per word/letter rule"
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "What is the area of Figure A?",
      "answer0": "8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 95,
      "difficulty_id": 2,
      "explanation": "Counting full and half squares of the shaded figure on the 1 cm grid gives an area of 8 cm2.",
      "hints": ["Each square is 1 cm by 1 cm.", "Combine half-squares into whole ones."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q22",
      "image_needed": true,
      "image_page": 13,
      "image_loc": "top left, shaded composite figure A on a 1 cm grid",
      "image_options": false,
      "image_file": null,
      "notes": "key Q22 = 8 cm2; answer unit cm2 printed on paper"
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "A number when divided by 5 has a quotient of 38 and a remainder of 3. What is the number?",
      "answer0": "193",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "Number = 5 x 38 + 3 = 190 + 3 = 193.",
      "hints": ["Number = divisor x quotient + remainder.", "5 x 38 = 190, then add the remainder 3."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q23 = 193"
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "May has 58 stickers. Lynn has 5 times as many stickers as her. How many stickers will Lynn have to give May so that both of them have the same number of stickers?",
      "answer0": "116",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Lynn = 5 x 58 = 290. Total = 290 + 58 = 348. Each should have 348 / 2 = 174. Lynn must give 290 - 174 = 116 stickers.",
      "hints": ["Find how many stickers Lynn has, then the total.", "Half the total is the equal share; give away the surplus."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q24 = 116 stickers"
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Mindy's watch is six minutes slow. Her watch shows 5.00 p.m. now. What is the actual time?",
      "answer0": "5.06",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 2,
      "explanation": "A slow watch shows an earlier time, so the actual time is 6 minutes ahead: 5.00 + 6 min = 5.06 p.m.",
      "hints": ["A slow watch lags behind the real time.", "Add 6 minutes to the watch's reading."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q25 = 5.06 p.m.; answer blank labelled p.m."
    },
    {
      "n": 26,
      "type_id": 1,
      "question": "Station D has twice as many pupils as Station [?].",
      "answer0": "Station A",
      "answer1": "Station B",
      "answer2": "Station C",
      "answer3": "Station D",
      "correct_answer": 0,
      "skill_id": 102,
      "difficulty_id": 2,
      "explanation": "From the bar graph, Station D has 250 pupils and Station A has 125 pupils. 250 is twice 125, so the answer is Station A.",
      "hints": ["Read Station D's value from the graph.", "Find the station with half that value."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q26",
      "image_needed": true,
      "image_page": 15,
      "image_loc": "top, horizontal bar graph 'Lower Primary Fun Day' for Stations A-D",
      "image_options": false,
      "image_file": null,
      "notes": "key Q26 = A; rendered as MCQ (single-letter station answer); bar graph required"
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "What is the missing number? 10/12 = [?]/18",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 80,
      "difficulty_id": 2,
      "explanation": "10/12 = 5/6 = 15/18. Multiply numerator and denominator by the same factor: 6 x 3 = 18, 5 x 3 = 15.",
      "hints": ["Simplify 10/12 first.", "Scale up to a denominator of 18."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q27",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q27 = 15"
    },
    {
      "n": 28,
      "type_id": 1,
      "question": "Which of the 2 figures have the same perimeter?",
      "answer0": "P and Q",
      "answer1": "P and S",
      "answer2": "Q and R",
      "answer3": "R and S",
      "correct_answer": 1,
      "skill_id": 96,
      "difficulty_id": 3,
      "explanation": "Counting the boundary edges of each figure on the 1 cm grid, Figures P and S have equal perimeters.",
      "hints": ["Count the unit edges around the outside of each figure.", "Perimeter is the total distance around the figure."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q28",
      "image_needed": true,
      "image_page": 16,
      "image_loc": "middle, four shaded figures P, Q, R, S on a 1 cm grid",
      "image_options": false,
      "image_file": null,
      "notes": "key Q28 = Figures P and S; rendered as MCQ; grid figures required"
    },
    {
      "n": 29,
      "type_id": 0,
      "question": "Mrs Devi paid $24 for some apples. 5 apples for $3. Each statement below is either true or false from the information given. For each statement, put a tick in the correct column. Statement 1: Mrs Devi bought 40 apples. Statement 2: If Mrs Devi had bought 30 apples instead, she would have spent $4 less.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "$24 / $3 = 8 sets of 5 = 40 apples, so Statement 1 is True. 30 apples = 6 sets x $3 = $18, which is $24 - $18 = $6 less, not $4, so Statement 2 is False.",
      "hints": ["Each $3 buys 5 apples.", "Find total apples for $24, then re-cost 30 apples."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q29",
      "image_needed": true,
      "image_page": 17,
      "image_loc": "upper area, boxed promo showing 5 drawn apples with text '5 apples for $3'",
      "image_options": false,
      "image_file": null,
      "notes": "key Q29: Statement 1 = True, Statement 2 = False. Interactive tick-the-column task — type_id 0 (skipped on insert)."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "Nurul has 17 notes in her piggy bank. There are only $2 and $5 notes in her piggy bank. The total value of the notes is $49. How many $5 notes are there in her piggy bank?",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "If all 17 were $2 notes, value = $34. Extra needed = $49 - $34 = $15. Each $5 note adds $3 over a $2 note, so $15 / $3 = 5 five-dollar notes.",
      "hints": ["Assume all notes are $2 first.", "Each swap to a $5 note adds $3 to the total."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q30",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q30 = 5"
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "There are 960 boys in a hall. There are 395 more boys than girls in the same hall. How many children are there in the hall altogether?",
      "answer0": "1525",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Girls = 960 - 395 = 565. Children = 960 + 565 = 1525.",
      "hints": ["Find the number of girls first.", "Add boys and girls together."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q31 = 1525 children"
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "Chong and Jill have 180 cookies altogether. Chong has 30 cookies more than Jill. How many cookies does Jill have?",
      "answer0": "75",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Remove the extra 30: 180 - 30 = 150. Each share = 150 / 2 = 75. Jill has 75 cookies.",
      "hints": ["Subtract the difference from the total.", "Divide the remainder equally between the two."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q32",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q32 = 75 cookies"
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "Pravin, Hadi and Larry have 442 stamps altogether. Larry has four times as many stamps as Hadi. Pravin has 34 more stamps than Hadi. How many stamps does Hadi have?",
      "answer0": "68",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Remove Pravin's extra 34: 442 - 34 = 408. This equals 6 units of Hadi (Hadi 1 + Larry 4 + Pravin 1). 408 / 6 = 68 stamps for Hadi.",
      "hints": ["Express each person's stamps in units of Hadi's.", "Subtract the extra 34 before dividing by the total units."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q33",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q33 = 68 stamps"
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "Xiaoling hangs 10 light bulbs at an equal distance apart on a wire. The distance between the 2nd and the 9th light bulb is 280 cm. What is the length of the wire used for hanging the 10 light bulbs?",
      "answer0": "360",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Between the 2nd and 9th bulb there are 9 - 2 = 7 equal gaps = 280 cm, so each gap = 40 cm. 10 bulbs have 9 gaps total: but wire ends extend; using the answer key, 280 + 2 x 40 = 360 cm.",
      "hints": ["Count the gaps between the 2nd and 9th bulbs (7 gaps).", "Each gap is 40 cm; add the gaps beyond the 2nd and 9th bulbs."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q34",
      "image_needed": true,
      "image_page": 24,
      "image_loc": "upper area, wire with 10 hanging bulbs, 280 cm spanning 2nd to 9th bulb",
      "image_options": false,
      "image_file": null,
      "notes": "key Q34 = 360 cm (280 + 40 + 40)"
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "Molly had 800 ml of apple juice for a party at first. She bought another 10 bottles of apple juice for the party. Each bottle contained 330 ml of apple juice. She served the apple juice to her guests and had 590 ml of apple juice left. (a) What was the total amount of apple juice she had for the party? (b) How much apple juice was served to the guests?",
      "answer0": "4 l 100 ml",
      "answer1": "3 l 510 ml",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "(a) 10 x 330 = 3300 ml; 3300 + 800 = 4100 ml = 4 l 100 ml. (b) 4100 - 590 = 3510 ml = 3 l 510 ml served.",
      "hints": ["Find the total juice from the bottles, then add the first 800 ml.", "Subtract the leftover from the total to find what was served."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "key Q35 (a) = 4 l 100 ml, (b) = 3 l 510 ml; two-part question, answer0=(a), answer1=(b)"
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "The figures are formed by sticks. They follow a pattern. The table shows the number of sticks used: Figure 1 = 6, Figure 2 = 11, Figure 3 = 16, Figure 4 = 21. (a) How many sticks are used to form Figure 6? (b) Which figure has 66 sticks?",
      "answer0": "31",
      "answer1": "13",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 3,
      "explanation": "Each figure adds 5 sticks. (a) Figure 6 = 21 + 5 + 5 = 31 sticks. (b) (66 - 6) / 5 = 12, so 12 + 1 = Figure 13.",
      "hints": ["The number of sticks increases by 5 each figure.", "For (b), subtract the start value, divide by 5, then add 1."],
      "source": "St Nicholas 2023 P3 End of Year Exam Q36",
      "image_needed": true,
      "image_page": 26,
      "image_loc": "top, four stick figures (house-like shapes) labelled Figure 1-4 above the count table",
      "image_options": false,
      "image_file": null,
      "notes": "key Q36 (a) = 31 sticks, (b) = Figure 13; two-part, answer0=(a) sticks, answer1=(b) figure number"
    }
  ]
}
