{
"paper": {
"school": "Henry Park",
"year": 2025,
"level": "P5",
"label": "End-of-Year Exam",
"source_prefix": "Henry Park 2025 P5 End-of-Year Exam",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "30 000 + 7000 + 900 + 5 = ____________",
"answer0": "37 950",
"answer1": "37 905",
"answer2": "37 095",
"answer3": "30 795",
"correct_answer": 1,
"skill_id": 149,
"difficulty_id": 1,
"explanation": "Add the place values: 30 000 + 7000 + 900 + 5 = 37 905.",
"hints": ["Line up the digits by place value.", "There are no tens, so the tens digit is 0."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 37 905"
},
{
"n": 2,
"type_id": 1,
"question": "Which of the following is equal to \\(7\\dfrac{5}{6}\\)?",
"answer0": "\\(\\dfrac{35}{6}\\)",
"answer1": "\\(\\dfrac{41}{6}\\)",
"answer2": "\\(\\dfrac{47}{6}\\)",
"answer3": "\\(\\dfrac{75}{6}\\)",
"correct_answer": 2,
"skill_id": 119,
"difficulty_id": 1,
"explanation": "\\(7\\dfrac{5}{6}=\\dfrac{7\\times6+5}{6}=\\dfrac{47}{6}\\).",
"hints": ["Convert the mixed number to an improper fraction.", "Multiply 7 by 6, then add 5."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) 47/6. MCQ because options are fractions."
},
{
"n": 3,
"type_id": 1,
"question": "Round 4.675 to 2 decimal places.",
"answer0": "4.60",
"answer1": "4.67",
"answer2": "4.68",
"answer3": "4.70",
"correct_answer": 2,
"skill_id": 168,
"difficulty_id": 1,
"explanation": "The 3rd decimal digit is 5, so round the hundredths digit up: 4.675 \\u2192 4.68.",
"hints": ["Look at the 3rd decimal place to decide rounding.", "Digit is 5, so round up."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) 4.68"
},
{
"n": 4,
"type_id": 1,
"question": "What is the value of 42 \\u2212 (8 + 16) \\u00f7 3 \\u00d7 2?",
"answer0": "38",
"answer1": "12",
"answer2": "3",
"answer3": "26",
"correct_answer": 3,
"skill_id": 155,
"difficulty_id": 2,
"explanation": "Brackets: 8 + 16 = 24. Then 24 \\u00f7 3 = 8, 8 \\u00d7 2 = 16. Finally 42 \\u2212 16 = 26.",
"hints": ["Do the bracket first, then \\u00f7 and \\u00d7 from left to right.", "24 \\u00f7 3 \\u00d7 2 = 16."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (4) 26"
},
{
"n": 5,
"type_id": 1,
"question": "Ali folds 10 stars in 6 minutes. At this rate, how many stars can he fold in 30 minutes?",
"answer0": "18",
"answer1": "50",
"answer2": "60",
"answer3": "300",
"correct_answer": 1,
"skill_id": 152,
"difficulty_id": 1,
"explanation": "30 \\u00f7 6 = 5 lots of 6 minutes. 5 \\u00d7 10 = 50 stars.",
"hints": ["How many 6-minute periods are in 30 minutes?", "Multiply that by 10 stars."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 50"
},
{
"n": 6,
"type_id": 1,
"question": "Timmy received $300 as a prize. He gave $60 to his parents. What percentage of the prize money did Timmy give to his parents?",
"answer0": "20%",
"answer1": "40%",
"answer2": "60%",
"answer3": "80%",
"correct_answer": 0,
"skill_id": 171,
"difficulty_id": 1,
"explanation": "\\(\\dfrac{60}{300}\\times100\\%=20\\%\\).",
"hints": ["Write the amount given over the total.", "\\(\\dfrac{60}{300}=\\dfrac{1}{5}\\)."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (1) 20%"
},
{
"n": 7,
"type_id": 1,
"question": "What is 25 minutes before the time shown on the clock?",
"answer0": "16 00",
"answer1": "16 55",
"answer2": "16 50",
"answer3": "17 35",
"correct_answer": 1,
"skill_id": 135,
"difficulty_id": 2,
"explanation": "The clock shows 17 20 (20 minutes past 5). 25 minutes before 17 20 is 16 55.",
"hints": ["Read the time on the clock first.", "Subtract 25 minutes."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q7",
"image_needed": true,
"image_options": false,
"image_file": "q7.png",
"image_page": 4,
"image_bbox": [0.58, 0.16, 0.76, 0.30],
"image_loc": "analogue clock face, right of the question",
"notes": "Key: (2) 16 55. Clock reads 17 20."
},
{
"n": 8,
"type_id": 1,
"question": "A solid cuboid of height 10 cm has a square base of 4 cm. What is its volume?",
"answer0": "40 cm³",
"answer1": "64 cm³",
"answer2": "160 cm³",
"answer3": "400 cm³",
"correct_answer": 2,
"skill_id": 190,
"difficulty_id": 1,
"explanation": "Volume = 4 \\u00d7 4 \\u00d7 10 = 160 cm\\u00b3.",
"hints": ["Volume = length \\u00d7 breadth \\u00d7 height.", "The square base is 4 \\u00d7 4."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q8",
"image_needed": true,
"image_options": false,
"image_file": "q8.png",
"image_page": 4,
"image_bbox": [0.56, 0.38, 0.72, 0.50],
"image_loc": "cuboid with 10 cm height and 4 cm base labelled",
"notes": "Key: (3) 160 cm³"
},
{
"n": 9,
"type_id": 1,
"question": "In the square grid, which of the following lines, when drawn, is parallel to QP?",
"answer0": "AR",
"answer1": "BR",
"answer2": "CR",
"answer3": "DR",
"correct_answer": 0,
"skill_id": 100,
"difficulty_id": 2,
"explanation": "QP has a particular slant on the grid. AR has the same slant (same vertical drop per horizontal step), so AR is parallel to QP.",
"hints": ["Find the slant of QP on the grid.", "Match that slant to one of the lines from R."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q9",
"image_needed": true,
"image_options": false,
"image_file": "q9.png",
"image_page": 4,
"image_bbox": [0.44, 0.50, 0.66, 0.66],
"image_loc": "square grid with points P, D, A, B, C, Q, R marked",
"notes": "Key: (1) AR"
},
{
"n": 10,
"type_id": 1,
"question": "The table shows the points scored by 5 participants in a game (A 12, B 6, C 18, D 24, E 12). Which of the following bar graphs represents the information shown in the table?",
"answer0": "Graph 1",
"answer1": "Graph 2",
"answer2": "Graph 3",
"answer3": "Graph 4",
"correct_answer": 3,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "Bars must show A = E (both 12), B lowest (6), C = 18, D highest (24). Graph 4 matches: A and E equal, B shortest, D tallest, C in between.",
"hints": ["A and E are equal (both 12), so their bars match.", "D is tallest (24); B is shortest (6)."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q10",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 5,
"image_bbox": [0.24, 0.30, 0.62, 0.82],
"image_loc": "four candidate bar graphs labelled 1-4 down the page",
"notes": "Key: (4) Graph 4. Image-option MCQ: crop each bar graph to q10_opt0..3."
},
{
"n": 11,
"type_id": 1,
"question": "Pupils chose one sport to be played during PE lesson. The pie chart shows the different sports they chose (Badminton 15%, Tennis 30%, Netball a right angle, Rugby 10%, Volleyball). What fraction of the class chose Volleyball?",
"answer0": "\\(\\dfrac{1}{4}\\)",
"answer1": "\\(\\dfrac{1}{5}\\)",
"answer2": "\\(\\dfrac{2}{5}\\)",
"answer3": "\\(\\dfrac{3}{20}\\)",
"correct_answer": 1,
"skill_id": 235,
"difficulty_id": 2,
"explanation": "Netball is a right angle = 25%. Volleyball = 100% \\u2212 15% \\u2212 30% \\u2212 25% \\u2212 10% = 20% = \\(\\dfrac{1}{5}\\).",
"hints": ["The right-angle sector (Netball) is 25%.", "Subtract all known percentages from 100% to find Volleyball."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q11",
"image_needed": true,
"image_options": false,
"image_file": "q11.png",
"image_page": 6,
"image_bbox": [0.36, 0.18, 0.62, 0.40],
"image_loc": "pie chart of sports: Badminton 15%, Netball, Tennis 30%, Rugby 10%, Volleyball",
"notes": "Key: (2) 1/5. MCQ because options are fractions."
},
{
"n": 12,
"type_id": 1,
"question": "What percentage of 2 kg is 5 g?",
"answer0": "0.25%",
"answer1": "0.4%",
"answer2": "2.5%",
"answer3": "4%",
"correct_answer": 0,
"skill_id": 171,
"difficulty_id": 2,
"explanation": "2 kg = 2000 g. \\(\\dfrac{5}{2000}\\times100\\%=0.25\\%\\).",
"hints": ["Convert 2 kg to grams first (2000 g).", "\\(\\dfrac{5}{2000}\\times100\\%\\)."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (1) 0.25%"
},
{
"n": 13,
"type_id": 1,
"question": "In the figure, POQ is a straight line. \\u2220POS = 100° and \\u2220ROQ = 124°. Find \\u2220ROS.",
"answer0": "24°",
"answer1": "44°",
"answer2": "56°",
"answer3": "80°",
"correct_answer": 1,
"skill_id": 194,
"difficulty_id": 2,
"explanation": "\\u2220POS + \\u2220ROS + \\u2220ROQ would over-count; on the straight line POQ, \\u2220POS = 100\\u00b0 and \\u2220ROQ = 124\\u00b0 overlap by \\u2220ROS. \\u2220ROS = \\u2220POS + \\u2220ROQ \\u2212 180\\u00b0 = 100\\u00b0 + 124\\u00b0 \\u2212 180\\u00b0 = 44\\u00b0.",
"hints": ["Angles on a straight line POQ sum to 180\\u00b0.", "\\u2220ROS = 100\\u00b0 + 124\\u00b0 \\u2212 180\\u00b0."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q13",
"image_needed": true,
"image_options": false,
"image_file": "q13.png",
"image_page": 7,
"image_bbox": [0.33, 0.18, 0.58, 0.30],
"image_loc": "straight line POQ with rays OR and OS, angles 100 and 124 marked",
"notes": "Key: (2) 44°"
},
{
"n": 14,
"type_id": 1,
"question": "A box contains some stickers. The stickers can be shared equally among 6 children or 8 children with no remainder. What is the smallest possible number of stickers in the box?",
"answer0": "16",
"answer1": "18",
"answer2": "24",
"answer3": "48",
"correct_answer": 2,
"skill_id": 115,
"difficulty_id": 2,
"explanation": "The number must be a common multiple of 6 and 8. The lowest common multiple of 6 and 8 is 24.",
"hints": ["Find the lowest common multiple of 6 and 8.", "List multiples of each and find the smallest shared one."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) 24"
},
{
"n": 15,
"type_id": 1,
"question": "The postal charges for sending mails to a country are: up to 20 g $0.75; up to 50 g $1.20; up to 100 g $1.95; up to 250 g $4. Ray sent a mail with a mass of 40 g and another mail with a mass of 180 g separately. How much did he pay for the postage?",
"answer0": "$4",
"answer1": "$5.20",
"answer2": "$5.50",
"answer3": "$5.85",
"correct_answer": 1,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "40 g falls in the \\u2018up to 50 g\\u2019 band = $1.20. 180 g falls in the \\u2018up to 250 g\\u2019 band = $4. Total = $1.20 + $4 = $5.20.",
"hints": ["Match each mail's mass to the correct charge band.", "Add the two charges."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q15",
"image_needed": true,
"image_options": false,
"image_file": "q15.png",
"image_page": 8,
"image_bbox": [0.22, 0.16, 0.80, 0.32],
"image_loc": "table of Mass up to vs Charges",
"notes": "Key: (2) $5.20. Table can be transcribed as text; image optional."
},
{
"n": 16,
"type_id": 1,
"question": "The figure shows a rectangular box partly filled with 1-cm cubes. What is the volume of the rectangular box?",
"answer0": "105 cm³",
"answer1": "140 cm³",
"answer2": "112 cm³",
"answer3": "192 cm³",
"correct_answer": 3,
"skill_id": 190,
"difficulty_id": 2,
"explanation": "From the layer of cubes the base is 8 \\u00d7 3 = 24 cm\\u00b2 and the box height is 8 cm (from the visible column), giving volume 24 \\u00d7 8 = 192 cm\\u00b3.",
"hints": ["Use the cubes to read the length, breadth and height of the box.", "Volume = length \\u00d7 breadth \\u00d7 height."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q16",
"image_needed": true,
"image_options": false,
"image_file": "q16.png",
"image_page": 8,
"image_bbox": [0.54, 0.50, 0.80, 0.68],
"image_loc": "rectangular box partly filled with unit cubes, right of question",
"notes": "Key: (4) 192 cm³"
},
{
"n": 17,
"type_id": 1,
"question": "The bar graph shows the number of cupcakes sold from Monday to Friday. Each cupcake is sold at $4. What is the difference between the amount collected on Tuesday and Thursday?",
"answer0": "$84",
"answer1": "$88",
"answer2": "$104",
"answer3": "$296",
"correct_answer": 1,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "From the graph, Thursday sold 48 and Tuesday sold 26 cupcakes. Difference = 48 \\u2212 26 = 22 cupcakes \\u00d7 $4 = $88.",
"hints": ["Read the cupcake counts for Tuesday and Thursday.", "Find the difference in cupcakes, then multiply by $4."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q17",
"image_needed": true,
"image_options": false,
"image_file": "q17.png",
"image_page": 9,
"image_bbox": [0.26, 0.16, 0.80, 0.40],
"image_loc": "bar graph of cupcakes sold Monday-Friday",
"notes": "Key: (2) $88"
},
{
"n": 18,
"type_id": 1,
"question": "Jason had some money. He spent \\(\\dfrac{1}{5}\\) of his money on cards and \\(\\dfrac{5}{8}\\) of the remaining money on his lunch. He had $42 left. How much money did Jason have at first?",
"answer0": "$48",
"answer1": "$112",
"answer2": "$140",
"answer3": "$240",
"correct_answer": 2,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "After cards, \\(\\dfrac{4}{5}\\) remains. Lunch takes \\(\\dfrac{5}{8}\\) of that, leaving \\(\\dfrac{3}{8}\\) of \\(\\dfrac{4}{5}=\\dfrac{3}{10}\\) of the original = $42. So original = 42 \\u00f7 \\(\\dfrac{3}{10}\\) = $140.",
"hints": ["After cards, four-fifths remains; lunch takes five-eighths of that.", "The $42 left is the fraction remaining of the original."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q18",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) $140"
},
{
"n": 19,
"type_id": 1,
"question": "(a) Find the value of \\(\\dfrac{2}{11}\\times4\\).
(b) Find the value of 5 \\u00f7 8. Express your answer as a decimal.",
"answer0": "\\(\\dfrac{8}{11}\\)",
"answer1": "\\(\\dfrac{6}{11}\\)",
"answer2": "\\(\\dfrac{8}{44}\\)",
"answer3": "\\(\\dfrac{2}{44}\\)",
"correct_answer": 0,
"skill_id": 161,
"difficulty_id": 2,
"explanation": "(a) \\(\\dfrac{2}{11}\\times4=\\dfrac{8}{11}\\). (b) 5 \\u00f7 8 = 0.625.",
"hints": ["(a) Multiply the numerator by 4.", "(b) 5 \\u00f7 8 by long division gives 0.625."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q19",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Part (a) answer 8/11 (fraction), part (b) 0.625 (decimal). Made MCQ because part (a) is a fraction; correct_answer = part (a) 8/11. Key: (a) 8/11 (b) 0.625."
},
{
"n": 20,
"type_id": 2,
"question": "9000 ml of water was poured into 4 containers equally. How many litres of water were there in one container? Ans: [?] \\u2113",
"answer0": "2.25",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 192,
"difficulty_id": 2,
"explanation": "9000 \\u00f7 4 = 2250 ml per container = 2.25 \\u2113.",
"hints": ["Divide 9000 ml by 4.", "Convert ml to litres (\\u00f7 1000)."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q20",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 2.25 ℓ"
},
{
"n": 21,
"type_id": 2,
"question": "Water leaks from a tap at a rate of 7 ml per second. At this rate, how much water will leak from the tap in 1 minute? Ans: [?] ml",
"answer0": "420",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 1,
"explanation": "1 minute = 60 seconds. 7 \\u00d7 60 = 420 ml.",
"hints": ["1 minute = 60 seconds.", "Multiply 7 ml by 60."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q21",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 420 ml"
},
{
"n": 22,
"type_id": 2,
"question": "The figure shows a right-angled triangle (sides 16 cm, 30 cm and 34 cm with the right angle between 16 cm and 30 cm). Find the area of the triangle. Ans: [?] cm²",
"answer0": "240",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 186,
"difficulty_id": 2,
"explanation": "The two legs at the right angle are 16 cm and 30 cm. Area = \\(\\dfrac{1}{2}\\times16\\times30=240\\) cm\\u00b2.",
"hints": ["The right-angle legs are the base and height.", "Area = \\(\\dfrac{1}{2}\\times16\\times30\\)."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q22",
"image_needed": true,
"image_options": false,
"image_file": "q22.png",
"image_page": 12,
"image_bbox": [0.36, 0.13, 0.68, 0.25],
"image_loc": "right-angled triangle with sides 16 cm, 30 cm, 34 cm",
"notes": "Key: 240 cm²"
},
{
"n": 23,
"type_id": 0,
"question": "Several rays cross at a point making angles a, b, c, d and e. (a) Name the smallest angle. (b) Name the two angles that are greater than 90°.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 194,
"difficulty_id": 2,
"explanation": "(a) The smallest angle is \\u2220e. (b) The two angles greater than 90\\u00b0 are \\u2220a and \\u2220d.",
"hints": [],
"source": "Henry Park 2025 P5 End-of-Year Exam Q23",
"image_needed": true,
"image_options": false,
"image_file": "q23.png",
"image_page": 12,
"image_bbox": [0.30, 0.42, 0.55, 0.54],
"image_loc": "rays crossing at a point with angles a, b, c, d, e marked",
"notes": "type_id 0: name-the-angle task (answers are angle labels, not numeric values). Answers: (a) \\u2220e (b) \\u2220a and \\u2220d. SKIPPED on insert."
},
{
"n": 24,
"type_id": 2,
"question": "The line graph shows the temperature of water in a kettle from 08 00 to 08 20.
(a) What was the temperature of the water at 08 05? Ans: [?] °C
(b) For how long did the temperature of the water remain at 100°C? Ans: [?] min",
"answer0": "65",
"answer1": "10",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "(a) From the graph at 08 05 the temperature is 65\\u00b0C. (b) It reaches 100\\u00b0C at 08 10 and stays there until 08 20, a duration of 10 minutes.",
"hints": ["(a) Read the graph value at 08 05.", "(b) Find the flat part of the graph at 100\\u00b0C and measure its length."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q24",
"image_needed": true,
"image_options": false,
"image_file": "q24.png",
"image_page": 13,
"image_bbox": [0.26, 0.15, 0.78, 0.38],
"image_loc": "line graph of temperature (\\u00b0C) vs time 08 00 to 08 20",
"notes": "Key: (a) 65°C (b) 10 min"
},
{
"n": 25,
"type_id": 2,
"question": "Minah deposited $3200 in a bank account. The bank offers an interest rate of 2% per year. How much would Minah have in her bank account at the end of one year? Ans: $ [?]",
"answer0": "3264",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 2,
"explanation": "Interest = 2% of $3200 = $64. Total = $3200 + $64 = $3264. (Or $3200 \\u00d7 1.02 = $3264.)",
"hints": ["Find 2% of $3200.", "Add the interest to the original deposit."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q25",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: $3264"
},
{
"n": 26,
"type_id": 0,
"question": "Draw a cuboid measuring 4 units by 3 units by 2 units on the isometric grid.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 231,
"difficulty_id": 2,
"explanation": "Draw a cuboid 4 \\u00d7 3 \\u00d7 2 units on the isometric dot grid. See the answer key figure.",
"hints": [],
"source": "Henry Park 2025 P5 End-of-Year Exam Q26",
"image_needed": true,
"image_options": false,
"image_file": "q26.png",
"image_page": 14,
"image_bbox": [0.20, 0.13, 0.80, 0.40],
"image_loc": "isometric dot grid for drawing a cuboid",
"notes": "type_id 0: draw-on-isometric-grid task, no value answer. SKIPPED on insert."
},
{
"n": 27,
"type_id": 1,
"question": "A group of 50 students participated in a spelling quiz. The table shows their scores (20:16, 35:18, 43:4, 50:12). What fraction of the students scored more than 35 marks? Give your answer in the simplest form.",
"answer0": "\\(\\dfrac{8}{25}\\)",
"answer1": "\\(\\dfrac{16}{50}\\)",
"answer2": "\\(\\dfrac{2}{5}\\)",
"answer3": "\\(\\dfrac{4}{25}\\)",
"correct_answer": 0,
"skill_id": 120,
"difficulty_id": 2,
"explanation": "Students scoring more than 35 (i.e. 43 and 50) = 4 + 12 = 16. \\(\\dfrac{16}{50}=\\dfrac{8}{25}\\).",
"hints": ["More than 35 means scores 43 and 50.", "Add those counts over 50 and simplify."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q27",
"image_needed": true,
"image_options": false,
"image_file": "q27.png",
"image_page": 14,
"image_bbox": [0.30, 0.50, 0.66, 0.62],
"image_loc": "table of Score vs Number of Students",
"notes": "Key: 8/25. Made MCQ because the answer is a fraction. Table can be transcribed as text."
},
{
"n": 28,
"type_id": 2,
"question": "DEFG is a rhombus. DH is a straight line. \\u2220DEF = 72°. Find \\u2220GFH. Ans: [?] °",
"answer0": "126",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "Diagonal DF bisects \\u2220DEF, so \\u2220DFG = (180\\u00b0 \\u2212 72\\u00b0) \\u00f7 2 = 54\\u00b0 (base angle relationship in the rhombus). \\u2220GFH = 180\\u00b0 \\u2212 54\\u00b0 = 126\\u00b0 (angles on the straight line DH).",
"hints": ["Use the rhombus angle properties to find \\u2220DFG.", "\\u2220GFH and \\u2220DFG are on the straight line DH (sum 180\\u00b0)."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q28",
"image_needed": true,
"image_options": false,
"image_file": "q28.png",
"image_page": 15,
"image_bbox": [0.20, 0.16, 0.50, 0.34],
"image_loc": "rhombus DEFG with diagonal DF extended to H, 72 degrees at E",
"notes": "Key: 126°"
},
{
"n": 29,
"type_id": 2,
"question": "A pattern is formed using the numbers 0, 2 and 5. The first 15 numbers of the pattern are: 2 0 2 5 0 2 0 2 5 0 2 0 2 5 0. The sum of the numbers in the pattern is 121. How many numbers are there in the pattern? Ans: [?]",
"answer0": "68",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 154,
"difficulty_id": 3,
"explanation": "The pattern repeats in groups of 5: (2, 0, 2, 5, 0), each summing to 9. 121 \\u00f7 9 = 13 remainder 4. The remainder 4 is the sum of the next numbers 2 + 0 + 2 = 4 (3 more numbers). So total = 13 \\u00d7 5 + 3 = 68.",
"hints": ["Each repeated group of 5 numbers sums to 9.", "121 \\u00f7 9 = 13 remainder 4; the remainder gives the extra numbers."],
"source": "Henry Park 2025 P5 End-of-Year Exam Q29",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 68"
},
{
"n": 30,
"type_id": 0,
"question": "The diagram shows a solid formed with 8 cubes. The side view is shown. (a) Draw the front view of the solid. (b) Find the greatest number of unit cube(s) that can be added to the solid without changing the front view and side view.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 188,
"difficulty_id": 3,
"explanation": "(a) The front view is the silhouette of the solid from the front (see answer key figure). (b) 4 unit cubes can be added without changing the front and side views.",
"hints": [],
"source": "Henry Park 2025 P5 End-of-Year Exam Q30",
"image_needed": true,
"image_options": false,
"image_file": "q30.png",
"image_page": 16,
"image_bbox": [0.20, 0.14, 0.82, 0.34],
"image_loc": "isometric solid of 8 cubes with side view dot grid",
"notes": "type_id 0: part (a) draw-the-front-view (drawing). Part (b) answer is 4 unit cubes. Whole question kept as type_id 0 due to the drawing component; (b)=4. SKIPPED on insert."
},
{
"n": 31,
"type_id": 0,
"question": "Two different shops sell the same brand and model of a handbag at a discount. Shop A usual price $480, 25% discount. Shop B usual price $440, 10% discount. Which shop should Mrs Lim buy the handbag from, Shop A or Shop B? How much would she pay for the handbag from that shop?",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 2,
"explanation": "Shop A: $480 \\u00d7 75% = $360. Shop B: $440 \\u00d7 90% = $396. Mrs Lim should buy from Shop A at $360.",
"hints": [],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q1. Answer has two parts: shop name (Shop A) + amount ($360). Mixed text+value answer; set type_id 0 (shop name is a word/exact-match that is fragile). Answer: Shop A, $360. SKIPPED on insert (word part). Could also be split FE-side."
},
{
"n": 32,
"type_id": 2,
"question": "A machine produces 128 notebooks in 4 minutes. At this rate, how long does the machine take to produce 16 notebooks? Give your answer in seconds. Ans: [?] s",
"answer0": "30",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 2,
"explanation": "Time = \\(\\dfrac{4\\times60}{128}\\times16=\\dfrac{240}{128}\\times16=30\\) seconds. (Rate = 128 notebooks per 240 s; for 16 notebooks: 240 \\u00f7 128 \\u00d7 16 = 30 s.)",
"hints": ["Convert 4 minutes to 240 seconds.", "Find time per notebook, then for 16 notebooks."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q2. Key: 30 s"
},
{
"n": 33,
"type_id": 2,
"question": "The pie chart shows the types of books at the school library. There are 60 comic books. There is an equal number of Mystery and Science Fiction books. Thriller is \\(\\dfrac{7}{20}\\), Fantasy is \\(\\dfrac{1}{10}\\). What percentage of the books are Mystery books? Ans: [?] %",
"answer0": "15",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "Comic is a right angle = \\(\\dfrac{1}{4}\\). Mystery and Science Fiction together = 1 \\u2212 \\(\\dfrac{7}{20}\\) \\u2212 \\(\\dfrac{1}{10}\\) \\u2212 \\(\\dfrac{1}{4}\\) = \\(\\dfrac{6}{20}=\\dfrac{3}{10}\\). They are equal, so Mystery = \\(\\dfrac{3}{20}\\) = 15%.",
"hints": ["Comic (right angle) is one quarter.", "Mystery = Science Fiction; split the remaining fraction equally."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q3",
"image_needed": true,
"image_options": false,
"image_file": "q33.png",
"image_page": 19,
"image_bbox": [0.33, 0.18, 0.66, 0.40],
"image_loc": "pie chart of library books: Science Fiction, Comic, Mystery, Fantasy 1/10, Thriller 7/20",
"notes": "Paper 2 Q3. Key: 15%"
},
{
"n": 34,
"type_id": 2,
"question": "The pie chart shows the types of books at the school library. There are 60 comic books. How many books are Thriller books? Ans: [?]",
"answer0": "84",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "Comic = \\(\\dfrac{1}{4}\\) of all books = 60, so total books = 60 \\u00d7 4 = 240. Thriller = \\(\\dfrac{7}{20}\\times240=84\\).",
"hints": ["Comic is one quarter and equals 60, so find the total.", "Thriller = \\(\\dfrac{7}{20}\\) of the total."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q4",
"image_needed": true,
"image_options": false,
"image_file": "q33.png",
"image_page": 19,
"image_bbox": [0.33, 0.18, 0.66, 0.40],
"image_loc": "pie chart of library books (shared with Q33/P2 Q3)",
"notes": "Paper 2 Q4. Key: 84. Shares pie chart with P2 Q3."
},
{
"n": 35,
"type_id": 2,
"question": "A stationery shop had 200 files. 40% of them were blue and the rest were yellow. The shop owner bought 100 more blue files. What percentage of the files were blue in the end? Ans: [?] %",
"answer0": "60",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 175,
"difficulty_id": 3,
"explanation": "Blue at first = 40% of 200 = 80; yellow = 120. After buying 100 more blue: blue = 180, total = 300. \\(\\dfrac{180}{300}\\times100\\%=60\\%\\).",
"hints": ["Find the starting numbers of blue and yellow files.", "Add 100 blue, then find blue over the new total."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q5. Key: 60%"
},
{
"n": 36,
"type_id": 2,
"question": "Mei Ling baked 1200 cookies and muffins for a charity sale. After she sold \\(\\dfrac{1}{2}\\) of the cookies and \\(\\dfrac{1}{4}\\) of the muffins, she had an equal number of cookies and muffins left.
(a) How many cookies did she sell? Ans: [?]
(b) Each cookie costs $2.10 and each muffin costs $3.50. How much did Mei Ling raise for the charity sale? Ans: $ [?]",
"answer0": "360",
"answer1": "1176",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Cookies left = \\(\\dfrac{1}{2}\\), muffins left = \\(\\dfrac{3}{4}\\); these are equal, so cookies : muffins = 6 : 4 (in tenths of total). Total 1200 split as 6 : 4 gives cookies = 720, muffins = 480. (a) Cookies sold = \\(\\dfrac{1}{2}\\times720=360\\). (b) Cookies sold 360 \\u00d7 $2.10 = $756; muffins sold \\(\\dfrac{1}{4}\\times480=120\\) \\u00d7 $3.50 = $420; total = $1176.",
"hints": ["Half the cookies left equals three-quarters of the muffins left.", "Use the ratio to split 1200 into cookies and muffins."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q6. Key: (a) 360 (b) $1176"
},
{
"n": 37,
"type_id": 2,
"question": "The line graph shows the number of cakes sold each month from January to June. The number of cakes sold in 6 months from July to December is not shown. \\(\\dfrac{4}{9}\\) of the total number of cakes were sold in 6 months from July to December. Find the total number of cakes sold from January to December. Ans: [?]",
"answer0": "7290",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Jan\\u2013Jun total = 450 + 700 + 650 + 700 + 600 + 950 = 4050. This is \\(\\dfrac{5}{9}\\) of the year (since Jul\\u2013Dec is \\(\\dfrac{4}{9}\\)). Total = 4050 \\u00f7 5 \\u00d7 9 = 7290.",
"hints": ["Add the six monthly values from the graph (Jan\\u2013Jun).", "Jan\\u2013Jun is \\(\\dfrac{5}{9}\\) of the year; scale up to the full total."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q7",
"image_needed": true,
"image_options": false,
"image_file": "q37.png",
"image_page": 22,
"image_bbox": [0.26, 0.16, 0.80, 0.40],
"image_loc": "line graph of cakes sold Jan-Jun",
"notes": "Paper 2 Q7. Parts (a) (May to June) and (b) (4050) are also part of this question; correct_answer here is part (c) total 7290. Key: (a) May to June (b) 4050 (c) 7290."
},
{
"n": 38,
"type_id": 2,
"question": "A rectangular piece of paper is folded to form the figure. The total area of the two identical shaded triangles is 81 cm². The folded figure shows top width 20 cm, height 12 cm and bottom width 20 cm with XY marked.
(a) Find the length of XY. Ans: [?] cm
(b) Find the area of the rectangular piece of paper before it was folded. Ans: [?] cm²",
"answer0": "9",
"answer1": "630",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "(a) Each shaded triangle has area 81 \\u00f7 2 = 40.5 cm\\u00b2 = \\(\\dfrac{1}{2}\\times XY\\times9\\)? Using the key, XY = \\u221a81 = 9 cm. (b) Unfolded length = 20 + 9 + 12 + 9 + 20 = 70 cm; area = 70 \\u00d7 9 = 630 cm\\u00b2.",
"hints": ["(a) Use the shaded-triangle area to find XY (= \\u221a81).", "(b) Add up the unfolded length, then multiply by the width."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q8",
"image_needed": true,
"image_options": false,
"image_file": "q38.png",
"image_page": 23,
"image_bbox": [0.24, 0.13, 0.62, 0.32],
"image_loc": "folded rectangular paper with 20 cm, 12 cm, 20 cm and XY marked, shaded triangles",
"notes": "Paper 2 Q8. Key: (a) 9 cm (b) 630 cm²"
},
{
"n": 39,
"type_id": 2,
"question": "The table shows the prices of shirts at a shop. First 7 shirts or fewer: $12.90 each. Every additional shirt: $9.90 each. Mr Chen paid $149.70 for some shirts. How many shirts did he buy? Ans: [?]",
"answer0": "13",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "First 7 shirts = 7 \\u00d7 $12.90 = $90.30. Remaining $149.70 \\u2212 $90.30 = $59.40. Additional shirts = $59.40 \\u00f7 $9.90 = 6. Total = 7 + 6 = 13.",
"hints": ["First 7 shirts cost 7 \\u00d7 $12.90.", "Divide the remaining amount by $9.90 for the extra shirts."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q9. Key: 13. Table transcribed in stem."
},
{
"n": 40,
"type_id": 2,
"question": "WXYZ is a trapezium and PYR is an isosceles triangle where PY = YR. \\u2220WZY = 52°, \\u2220WQY = 74° and \\u2220QYR = 35°.
(a) Find \\u2220YRP. Ans: [?] °
(b) Find \\u2220XYP. Ans: [?] °",
"answer0": "39",
"answer1": "61",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "(a) \\u2220YRP = \\u2220WQY \\u2212 \\u2220QYR = 74\\u00b0 \\u2212 35\\u00b0 = 39\\u00b0 (exterior angle of triangle). (b) \\u2220PYR = 180\\u00b0 \\u2212 35\\u00b0 \\u2212 39\\u00b0 \\u2212 39\\u00b0 = 67\\u00b0 (PY = YR isosceles). \\u2220XYP = 180\\u00b0 \\u2212 52\\u00b0 \\u2212 67\\u00b0 = 61\\u00b0 (interior angles of parallel sides).",
"hints": ["(a) Use the exterior-angle property at the triangle.", "(b) Find \\u2220PYR (isosceles), then use parallel-side interior angles."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q10",
"image_needed": true,
"image_options": false,
"image_file": "q40.png",
"image_page": 25,
"image_bbox": [0.50, 0.14, 0.82, 0.42],
"image_loc": "trapezium WXYZ with triangle PYR, angles 52, 74, 35 marked, right of page",
"notes": "Paper 2 Q10. Key: (a) 39° (b) 61°"
},
{
"n": 41,
"type_id": 1,
"question": "Rachel and Joanne gave away the same number of stickers. Rachel gave away \\(\\dfrac{2}{3}\\) of her stickers and Joanne gave away \\(\\dfrac{3}{5}\\) of her stickers.
(a) What fraction of the number of Joanne's stickers is the number of Rachel's stickers?",
"answer0": "\\(\\dfrac{9}{10}\\)",
"answer1": "\\(\\dfrac{10}{9}\\)",
"answer2": "\\(\\dfrac{6}{5}\\)",
"answer3": "\\(\\dfrac{5}{6}\\)",
"correct_answer": 0,
"skill_id": 210,
"difficulty_id": 3,
"explanation": "Rachel gave \\(\\dfrac{2}{3}=\\dfrac{6}{9}\\) and Joanne gave \\(\\dfrac{3}{5}=\\dfrac{6}{10}\\), equal numbers. So Rachel had 9 units and Joanne had 10 units; Rachel's stickers = \\(\\dfrac{9}{10}\\) of Joanne's.",
"hints": ["Make the amounts given away equal by a common numerator.", "\\(\\dfrac{2}{3}=\\dfrac{6}{9}\\) and \\(\\dfrac{3}{5}=\\dfrac{6}{10}\\)."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q11. Part (a) captured (fraction answer 9/10, made MCQ). Part (b) answer 102 stickers handled as separate question below."
},
{
"n": 42,
"type_id": 2,
"question": "Rachel and Joanne gave away the same number of stickers. Rachel gave away \\(\\dfrac{2}{3}\\) of her stickers and Joanne gave away \\(\\dfrac{3}{5}\\) of her stickers. Rachel and Joanne had a total of 323 stickers. How many stickers did Rachel give away? Ans: [?]",
"answer0": "102",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 210,
"difficulty_id": 3,
"explanation": "Rachel = 9 units, Joanne = 10 units, total 19 units = 323, so 1 unit = 17. Rachel gave \\(\\dfrac{2}{3}\\) of 9 units = 6 units = 6 \\u00d7 17 = 102.",
"hints": ["Total 19 units = 323, so 1 unit = 17 stickers.", "Rachel gave away 6 of her 9 units."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q11(b). Key: 102 stickers. Split from Q11(a) which is a fraction MCQ."
},
{
"n": 43,
"type_id": 2,
"question": "Ahmad played a target board game at a carnival. He earns 5 points for every target that he hit accurately. For every 8 targets that he hit accurately, Ahmad also earns a bonus of 50 points. At the end of the game, Ahmad earned a total of 840 points. How many targets did he hit in the game? Ans: [?]",
"answer0": "78",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "For every 8 targets: 8 \\u00d7 5 + 50 = 90 points. 840 \\u00f7 90 = 9 remainder 30. The remaining 30 points come from 30 \\u00f7 5 = 6 targets. Total = 9 \\u00d7 8 + 6 = 78 targets.",
"hints": ["Each group of 8 targets earns 90 points.", "840 \\u00f7 90 gives the full groups; the remainder gives extra targets."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q12. Key: 78"
},
{
"n": 44,
"type_id": 2,
"question": "Mei Ling used identical 2-cm squares to form figures that follow a pattern (Figure 1: 1 square / perimeter 8 cm; Figure 2: 3 / 16; Figure 3: 6 / 24; Figure 4: 10 / 32).
(b) Find the perimeter of Figure 20. Ans: [?] cm
(c) In which figure would 465 squares be used? Ans: Figure [?]",
"answer0": "160",
"answer1": "30",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 154,
"difficulty_id": 3,
"explanation": "Perimeter of Figure n = n \\u00d7 8 cm, so Figure 20 = 20 \\u00d7 8 = 160 cm. Number of squares in Figure n = \\(\\dfrac{1}{2}n(n+1)\\). Set \\(\\dfrac{1}{2}n(n+1)=465\\), so n(n+1) = 930 = 30 \\u00d7 31, giving n = 30.",
"hints": ["Perimeter of Figure n is 8n.", "Number of squares is the triangular number \\(\\dfrac{1}{2}n(n+1)\\)."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q13",
"image_needed": true,
"image_options": false,
"image_file": "q44.png",
"image_page": 28,
"image_bbox": [0.22, 0.14, 0.82, 0.30],
"image_loc": "staircase patterns Figure 1-4 made of 2-cm squares",
"notes": "Paper 2 Q13. Part (a) completes table (Figure 5: 15 squares, 40 cm). Captured (b) 160 cm and (c) Figure 30. Key: (a) 15, 40 (b) 160 cm (c) Figure 30."
},
{
"n": 45,
"type_id": 2,
"question": "Susan puts 2 coins into her coin box every day. Each coin was either a 20-cent coin or a 50-cent coin. Every 5 days, her father added a $1 coin to her coin box. After 210 days, the total value of the coins in the coin box was $225.
(a) How many coins were there altogether? Ans: [?]
(b) How many of her coins were 50-cent coins? Ans: [?]",
"answer0": "462",
"answer1": "330",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "(a) Susan's coins = 210 \\u00d7 2 = 420; father's $1 coins = 210 \\u00f7 5 = 42. Total = 420 + 42 = 462. (b) Value of $1 coins = $42, so 20-/50-cent coins are worth $225 \\u2212 $42 = $183. If all 420 were 20-cent: $84. Difference $183 \\u2212 $84 = $99, each 50-cent adds $0.30 over a 20-cent, so number of 50-cent = $99 \\u00f7 $0.30 = 330.",
"hints": ["(a) Count Susan's 2-a-day coins plus the father's $1 coins.", "(b) Use the assumption method: assume all 20-cent, then adjust for the extra value."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q14. Key: (a) 462 (b) 330"
},
{
"n": 46,
"type_id": 2,
"question": "On Monday, 50 more men than women visited a museum. On Tuesday, the number of women who visited the museum was 80% of the number of women who visited on Monday. The number of men who visited the museum on both days remained the same. There were 950 visitors on Tuesday.
(a) What was the total number of visitors on Monday and Tuesday? Ans: [?]",
"answer0": "2000",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 175,
"difficulty_id": 3,
"explanation": "Let Monday women = 5u; Monday men = 5u + 50. Tuesday women = 80% of 5u = 4u; Tuesday men = 5u + 50. Tuesday total = 4u + 5u + 50 = 9u + 50 = 950, so u = 100. Total over both days = (5u + 4u) + 2(5u + 50) = 19u + 100 = 19 \\u00d7 100 + 100 = 2000.",
"hints": ["Let Monday's women = 5 units so Tuesday's women = 4 units.", "Use Tuesday's total of 950 to find the unit, then sum both days."],
"source": "Henry Park 2025 P5 End-of-Year Exam P2 Q15",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q15. Part (a) captured (2000). Part (b) answer 9/20 (fraction, omitted from FIB). Key: (a) 2000 (b) 9/20."
}
]
}