{
"paper": {
"school": "Nan Hua",
"year": 2025,
"level": "P5",
"label": "End-of-Year Exam",
"source_prefix": "Nan Hua 2025 P5 End-of-Year Exam",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "Which of the following is forty-seven thousand and thirty in numerals?",
"answer0": "4730",
"answer1": "47 030",
"answer2": "47 300",
"answer3": "470 030",
"correct_answer": 1,
"skill_id": 149,
"difficulty_id": 1,
"explanation": "Forty-seven thousand = 47 000, and thirty = 30. So 47 000 + 30 = 47 030.",
"hints": ["Write the thousands part first: 47 000.", "Then add 30."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 47 030"
},
{
"n": 2,
"type_id": 1,
"question": "What is the value of 60 \\u2212 (4 + 8) \\u00f7 4 \\u00d7 3?",
"answer0": "59",
"answer1": "51",
"answer2": "36",
"answer3": "4",
"correct_answer": 1,
"skill_id": 155,
"difficulty_id": 2,
"explanation": "Brackets: 4 + 8 = 12. Then 12 \\u00f7 4 = 3, 3 \\u00d7 3 = 9. Finally 60 \\u2212 9 = 51.",
"hints": ["Do the bracket first, then \\u00f7 and \\u00d7 from left to right.", "12 \\u00f7 4 \\u00d7 3 = 9."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 51"
},
{
"n": 3,
"type_id": 1,
"question": "What is the missing number in the box?
\\(\\dfrac{6}{18}=\\dfrac{2}{\\Box}\\)",
"answer0": "9",
"answer1": "6",
"answer2": "3",
"answer3": "4",
"correct_answer": 1,
"skill_id": 158,
"difficulty_id": 1,
"explanation": "\\(\\dfrac{6}{18}=\\dfrac{1}{3}=\\dfrac{2}{6}\\). So the missing denominator is 6.",
"hints": ["Simplify \\(\\dfrac{6}{18}\\) first.", "Make the numerator 2 by scaling: \\(\\dfrac{1}{3}=\\dfrac{2}{6}\\)."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 6"
},
{
"n": 4,
"type_id": 1,
"question": "Which of the following is equal to \\(5\\dfrac{7}{8}\\)?",
"answer0": "\\(\\dfrac{35}{8}\\)",
"answer1": "\\(\\dfrac{40}{8}\\)",
"answer2": "\\(\\dfrac{43}{8}\\)",
"answer3": "\\(\\dfrac{47}{8}\\)",
"correct_answer": 3,
"skill_id": 119,
"difficulty_id": 1,
"explanation": "\\(5\\dfrac{7}{8}=\\dfrac{5\\times8+7}{8}=\\dfrac{47}{8}\\).",
"hints": ["Convert the mixed number to an improper fraction.", "Multiply 5 by 8, then add 7."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (4) 47/8. MCQ because options are fractions."
},
{
"n": 5,
"type_id": 1,
"question": "In 108.034, which digit is in the hundredths place?",
"answer0": "1",
"answer1": "0",
"answer2": "3",
"answer3": "4",
"correct_answer": 2,
"skill_id": 123,
"difficulty_id": 1,
"explanation": "After the decimal point: 0 is tenths, 3 is hundredths, 4 is thousandths. So the hundredths digit is 3.",
"hints": ["First decimal place is tenths, second is hundredths.", "Look at the second digit after the decimal point."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) 3"
},
{
"n": 6,
"type_id": 1,
"question": "Express \\(3\\dfrac{1}{5}\\) as a decimal.",
"answer0": "3.1",
"answer1": "3.2",
"answer2": "3.02",
"answer3": "3.15",
"correct_answer": 1,
"skill_id": 158,
"difficulty_id": 1,
"explanation": "\\(\\dfrac{1}{5}=\\dfrac{2}{10}=0.2\\). So \\(3\\dfrac{1}{5}=3.2\\).",
"hints": ["Make the fraction into tenths: \\(\\dfrac{1}{5}=\\dfrac{2}{10}\\).", "\\(\\dfrac{2}{10}=0.2\\)."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 3.2"
},
{
"n": 7,
"type_id": 1,
"question": "The figure is divided into 25 equal parts. What percentage of the figure is shaded?",
"answer0": "10%",
"answer1": "20%",
"answer2": "25%",
"answer3": "40%",
"correct_answer": 3,
"skill_id": 171,
"difficulty_id": 2,
"explanation": "10 of the 25 equal parts are shaded. \\(\\dfrac{10}{25}\\times100\\%=40\\%\\).",
"hints": ["Count the shaded parts out of 25.", "Convert the fraction to a percentage."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q7",
"image_needed": true,
"image_options": false,
"image_file": "q7.png",
"image_page": 4,
"image_bbox": [0.40, 0.13, 0.66, 0.30],
"image_loc": "5x5 grid with the left two columns shaded",
"notes": "Key: (4) 40%. 10 of 25 parts shaded."
},
{
"n": 8,
"type_id": 1,
"question": "A solid cuboid of height 9 cm has a square base of side 4 cm. What is its volume?",
"answer0": "36 cm³",
"answer1": "144 cm³",
"answer2": "216 cm³",
"answer3": "324 cm³",
"correct_answer": 1,
"skill_id": 190,
"difficulty_id": 1,
"explanation": "Volume = 4 \\u00d7 4 \\u00d7 9 = 144 cm\\u00b3.",
"hints": ["Volume = length \\u00d7 breadth \\u00d7 height.", "The square base is 4 \\u00d7 4."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q8",
"image_needed": true,
"image_options": false,
"image_file": "q8.png",
"image_page": 4,
"image_bbox": [0.38, 0.46, 0.55, 0.60],
"image_loc": "cuboid with 9 cm height and 4 cm base labelled",
"notes": "Key: (2) 144 cm³"
},
{
"n": 9,
"type_id": 1,
"question": "In the figure, AB and CD are straight lines. Which two angles are equal?",
"answer0": "\\u2220s and \\u2220t",
"answer1": "\\u2220s and \\u2220v",
"answer2": "\\u2220u and \\u2220t",
"answer3": "\\u2220u and \\u2220v",
"correct_answer": 0,
"skill_id": 194,
"difficulty_id": 2,
"explanation": "Where two straight lines cross, vertically opposite angles are equal. \\u2220s and \\u2220t are vertically opposite, so \\u2220s = \\u2220t.",
"hints": ["Look for the pair of vertically opposite angles.", "Vertically opposite angles are equal."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q9",
"image_needed": true,
"image_options": false,
"image_file": "q9.png",
"image_page": 5,
"image_bbox": [0.30, 0.14, 0.66, 0.28],
"image_loc": "lines AB and CD crossing with angles s, t, u, v marked",
"notes": "Key: (1) \\u2220s and \\u2220t"
},
{
"n": 10,
"type_id": 1,
"question": "The number of children at a camp decreased by 20 from Monday to Tuesday and increased by 50 from Tuesday to Wednesday. Which graph shows the number of children at the camp from Monday to Wednesday?",
"answer0": "Graph 1",
"answer1": "Graph 2",
"answer2": "Graph 3",
"answer3": "Graph 4",
"correct_answer": 1,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "The line must go down from Monday to Tuesday (decrease of 20), then up from Tuesday to Wednesday by more (increase of 50), ending higher than the start. Graph 2 shows a small dip then a larger rise.",
"hints": ["Tuesday is lower than Monday (down 20).", "Wednesday rises by 50, ending above Monday."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q10",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 5,
"image_bbox": [0.30, 0.45, 0.56, 0.86],
"image_loc": "four candidate line graphs labelled 1-4 down the page",
"notes": "Key: (2) Graph 2. Image-option MCQ: crop each line graph to q10_opt0..3."
},
{
"n": 11,
"type_id": 1,
"question": "The figure shows a cuboid. Which of the following is a net of the cuboid?",
"answer0": "Net 1",
"answer1": "Net 2",
"answer2": "Net 3",
"answer3": "Net 4",
"correct_answer": 2,
"skill_id": 233,
"difficulty_id": 2,
"explanation": "Folding each net mentally and matching the cuboid's face dimensions, only net 3 folds correctly into the given cuboid.",
"hints": ["Match the rectangle sizes in the net to the cuboid's faces.", "Try mentally folding each net."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q11",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 6,
"image_bbox": [0.20, 0.20, 0.62, 0.55],
"image_loc": "cuboid plus four candidate nets labelled 1-4",
"notes": "Key: (3) Net 3. Image-option MCQ: crop the cuboid as context and each net to q11_opt0..3."
},
{
"n": 12,
"type_id": 1,
"question": "Identify the height of triangle ABD given that the base is AD.",
"answer0": "AB",
"answer1": "BF",
"answer2": "CE",
"answer3": "DC",
"correct_answer": 1,
"skill_id": 185,
"difficulty_id": 2,
"explanation": "The height to base AD is the perpendicular from the opposite vertex B to line AD. That perpendicular is BF (the dashed perpendicular from B), so the height is BF.",
"hints": ["The height is perpendicular to the chosen base AD.", "Find the perpendicular dropped from the opposite vertex B."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q12",
"image_needed": true,
"image_options": false,
"image_file": "q12.png",
"image_page": 7,
"image_bbox": [0.26, 0.14, 0.70, 0.30],
"image_loc": "triangle ABD with points C, E, F and perpendiculars marked",
"notes": "Key: (2) BF"
},
{
"n": 13,
"type_id": 1,
"question": "Sally had some money. She used $50 to buy a book, $100 to buy a bag and was left with $250. What percentage of her money did she use altogether?",
"answer0": "62.5%",
"answer1": "60%",
"answer2": "40%",
"answer3": "37.5%",
"correct_answer": 3,
"skill_id": 171,
"difficulty_id": 2,
"explanation": "Spent = $50 + $100 = $150. Total = $150 + $250 = $400. \\(\\dfrac{150}{400}\\times100\\%=37.5\\%\\).",
"hints": ["Add the amount spent to the amount left to get the total.", "Spent over total, as a percentage."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q13",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (4) 37.5%"
},
{
"n": 14,
"type_id": 1,
"question": "Arrange the distances from the shortest to the longest: \\(7\\dfrac{1}{8}\\) km, 7.25 km, 7 km 55 m.",
"answer0": "7.25 km, \\(7\\dfrac{1}{8}\\) km, 7 km 55 m",
"answer1": "7.25 km, 7 km 55 m, \\(7\\dfrac{1}{8}\\) km",
"answer2": "7 km 55 m, \\(7\\dfrac{1}{8}\\) km, 7.25 km",
"answer3": "\\(7\\dfrac{1}{8}\\) km, 7 km 55 m, 7.25 km",
"correct_answer": 2,
"skill_id": 184,
"difficulty_id": 2,
"explanation": "Convert to km: \\(7\\dfrac{1}{8}\\) km = 7.125 km; 7.25 km; 7 km 55 m = 7.055 km. Order smallest to largest: 7.055, 7.125, 7.25, i.e. 7 km 55 m, \\(7\\dfrac{1}{8}\\) km, 7.25 km.",
"hints": ["Convert each distance to kilometres in decimal form.", "7 km 55 m = 7.055 km; 1/8 = 0.125."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3). MCQ because options contain a fraction (7 1/8 km)."
},
{
"n": 15,
"type_id": 1,
"question": "Ms Lim used \\(\\dfrac{5}{8}\\) of her money to buy three bags and six wallets. The cost of three wallets was the same as the cost of one bag. What is the most number of wallets Ms Lim could buy with her remaining money?",
"answer0": "15",
"answer1": "9",
"answer2": "3",
"answer3": "8",
"correct_answer": 1,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "1 bag = 3 wallets, so 3 bags + 6 wallets = 9 + 6 = 15 wallets in cost. This 15-wallet cost = \\(\\dfrac{5}{8}\\) of her money. So \\(\\dfrac{1}{8}\\) = 3 wallets. Remaining \\(\\dfrac{3}{8}\\) = 9 wallets.",
"hints": ["Express everything in 'wallet' units (1 bag = 3 wallets).", "\\(\\dfrac{5}{8}\\) buys 15 wallets, so find what \\(\\dfrac{3}{8}\\) buys."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q15",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 9"
},
{
"n": 16,
"type_id": 1,
"question": "Tom worked six hours each day from Monday to Thursday and seven hours on Saturday and was paid the following rate. Weekdays $7 an hour; Weekends $12 an hour. How much did he earn in that week?",
"answer0": "$252",
"answer1": "$336",
"answer2": "$294",
"answer3": "$378",
"correct_answer": 0,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "Weekday earnings = 4 days \\u00d7 6 h \\u00d7 $7 = 24 \\u00d7 $7 = $168. Weekend earnings = 7 h \\u00d7 $12 = $84. Total = $168 + $84 = $252.",
"hints": ["Weekday pay: 4 days \\u00d7 6 hours \\u00d7 $7.", "Weekend pay: 7 hours \\u00d7 $12; then add."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q16",
"image_needed": true,
"image_options": false,
"image_file": "q16.png",
"image_page": 9,
"image_bbox": [0.40, 0.16, 0.70, 0.24],
"image_loc": "small table of Weekdays $7/hour and Weekends $12/hour",
"notes": "Key: (1) $252. Table can be transcribed as text; image optional."
},
{
"n": 17,
"type_id": 1,
"question": "Which of the following shows the correct rounding of each of the numbers to the nearest whole number?
48.8 + 30.49 \\u00d7 4.38 \\u2212 5.51",
"answer0": "49 + 30 \\u00d7 4 \\u2212 6",
"answer1": "49 + 30 \\u00d7 4 \\u2212 5",
"answer2": "49 + 31 \\u00d7 4 \\u2212 6",
"answer3": "49 + 31 \\u00d7 4 \\u2212 5",
"correct_answer": 0,
"skill_id": 169,
"difficulty_id": 2,
"explanation": "Round each to the nearest whole number: 48.8 \\u2192 49, 30.49 \\u2192 30, 4.38 \\u2192 4, 5.51 \\u2192 6. So 49 + 30 \\u00d7 4 \\u2212 6.",
"hints": ["Round each number separately to the nearest whole number.", "30.49 rounds down to 30; 5.51 rounds up to 6."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q17",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (1) 49 + 30 x 4 - 6"
},
{
"n": 18,
"type_id": 1,
"question": "Mr Tan wanted to pack 24 red marbles and 56 blue marbles into as many bags as possible with no remainder. He packed the same number of marbles into each bag. The number of blue marbles in each bag was the same. How many bags were used?",
"answer0": "8",
"answer1": "7",
"answer2": "3",
"answer3": "4",
"correct_answer": 0,
"skill_id": 113,
"difficulty_id": 2,
"explanation": "The greatest number of bags is the HCF of 24 and 56 = 8.",
"hints": ["Find the highest common factor of 24 and 56.", "Common factors include 1, 2, 4, 8; the greatest is 8."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q18",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (1) 8"
},
{
"n": 19,
"type_id": 2,
"question": "Find the value of 5.8 \\u00f7 40. [?]",
"answer0": "0.145",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 166,
"difficulty_id": 2,
"explanation": "5.8 \\u00f7 40 = 5.8 \\u00f7 4 \\u00f7 10 = 1.45 \\u00f7 10 = 0.145.",
"hints": ["Divide by 4 first, then by 10.", "5.8 \\u00f7 4 = 1.45."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q19",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 0.145. Answer is a decimal so FIB is fine."
},
{
"n": 20,
"type_id": 2,
"question": "Mark had 3.06 kg of flour at first. He used 520 g of it. How many kilograms of flour was left? Ans: [?] kg",
"answer0": "2.54",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 184,
"difficulty_id": 2,
"explanation": "520 g = 0.52 kg. 3.06 \\u2212 0.52 = 2.54 kg.",
"hints": ["Convert 520 g to kilograms first.", "Subtract from 3.06 kg."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q20",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 2.54 kg"
},
{
"n": 21,
"type_id": 2,
"question": "Mr Sim had 180 kettles for sale. He sold 35% of them last week. How many kettles did he sell last week? Ans: [?]",
"answer0": "63",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 174,
"difficulty_id": 2,
"explanation": "35% of 180 = 0.35 \\u00d7 180 = 63.",
"hints": ["Find 35% of 180.", "0.35 \\u00d7 180 = 63."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q21",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 63"
},
{
"n": 22,
"type_id": 2,
"question": "Water leaks from a tap at a rate of 6 ml per second. At this rate, how much water will leak from the tap in two minutes? Ans: [?] ml",
"answer0": "720",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 2,
"explanation": "2 minutes = 120 seconds. 6 \\u00d7 120 = 720 ml.",
"hints": ["2 minutes = 120 seconds.", "Multiply 6 ml by 120."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q22",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 720 ml"
},
{
"n": 23,
"type_id": 2,
"question": "The figure shows a right-angled triangle (legs 20 cm and 15 cm at the right angle, hypotenuse 25 cm). Find the area of the triangle. Ans: [?] cm²",
"answer0": "150",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 186,
"difficulty_id": 2,
"explanation": "The two legs at the right angle are 20 cm and 15 cm. Area = \\(\\dfrac{1}{2}\\times20\\times15=150\\) cm\\u00b2.",
"hints": ["The right-angle legs are the base and height.", "Area = \\(\\dfrac{1}{2}\\times20\\times15\\)."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q23",
"image_needed": true,
"image_options": false,
"image_file": "q23.png",
"image_page": 13,
"image_bbox": [0.34, 0.50, 0.66, 0.66],
"image_loc": "right-angled triangle with sides 20 cm, 15 cm, 25 cm",
"notes": "Key: 150 cm²"
},
{
"n": 24,
"type_id": 2,
"question": "Find the value of 307 \\u00d7 300. [?]",
"answer0": "92100",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 151,
"difficulty_id": 1,
"explanation": "307 \\u00d7 300 = 307 \\u00d7 3 \\u00d7 100 = 921 \\u00d7 100 = 92 100.",
"hints": ["Multiply 307 by 3 first.", "Then attach the two zeros from 300."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q24",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 92 100"
},
{
"n": 25,
"type_id": 1,
"question": "A ribbon 30 m long was cut into 8 equal pieces. What is the length of each piece of ribbon? Give your answer as a mixed number in its simplest form.",
"answer0": "\\(3\\dfrac{3}{4}\\)",
"answer1": "\\(3\\dfrac{6}{8}\\)",
"answer2": "\\(3\\dfrac{1}{4}\\)",
"answer3": "\\(3\\dfrac{1}{2}\\)",
"correct_answer": 0,
"skill_id": 157,
"difficulty_id": 2,
"explanation": "30 \\u00f7 8 = \\(\\dfrac{30}{8}=\\dfrac{15}{4}=3\\dfrac{3}{4}\\) m.",
"hints": ["Divide 30 by 8 as a fraction.", "Simplify \\(\\dfrac{30}{8}\\) and write as a mixed number."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q25",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 3 3/4 m. Made MCQ because the answer is a mixed number (cannot be FIB)."
},
{
"n": 26,
"type_id": 1,
"question": "The distance of one round around a park is \\(\\dfrac{3}{4}\\) km. Sally jogged 3 rounds. How far did Sally jog? Give your answer as a mixed number.",
"answer0": "\\(2\\dfrac{1}{4}\\)",
"answer1": "\\(2\\dfrac{3}{4}\\)",
"answer2": "\\(1\\dfrac{3}{4}\\)",
"answer3": "\\(3\\dfrac{3}{4}\\)",
"correct_answer": 0,
"skill_id": 163,
"difficulty_id": 2,
"explanation": "3 \\u00d7 \\(\\dfrac{3}{4}=\\dfrac{9}{4}=2\\dfrac{1}{4}\\) km.",
"hints": ["Multiply \\(\\dfrac{3}{4}\\) by 3.", "\\(\\dfrac{9}{4}=2\\dfrac{1}{4}\\)."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q26",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 2 1/4 km. Made MCQ because the answer is a mixed number."
},
{
"n": 27,
"type_id": 0,
"question": "Draw the top view of the solid on the grid provided.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 187,
"difficulty_id": 2,
"explanation": "Draw the top view (footprint) of the cube solid on the dot grid. See the answer key figure.",
"hints": [],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q27",
"image_needed": true,
"image_options": false,
"image_file": "q27.png",
"image_page": 15,
"image_bbox": [0.30, 0.30, 0.62, 0.50],
"image_loc": "isometric cube solid with top/front/side view arrows",
"notes": "type_id 0: draw-the-top-view (drawing) task, no value answer. SKIPPED on insert."
},
{
"n": 28,
"type_id": 0,
"question": "Complete the symmetric figure with XY as the line of symmetry.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 145,
"difficulty_id": 2,
"explanation": "Reflect the given half across the line XY to complete the symmetric figure. See the answer key figure.",
"hints": [],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q28",
"image_needed": true,
"image_options": false,
"image_file": "q28.png",
"image_page": 16,
"image_bbox": [0.34, 0.13, 0.58, 0.40],
"image_loc": "partial figure with dashed line of symmetry XY",
"notes": "type_id 0: complete-the-symmetric-figure (drawing) task, no value answer. SKIPPED on insert."
},
{
"n": 29,
"type_id": 2,
"question": "The figure is made up of 2 identical rectangles overlapping to form a square in the middle. The rectangles measure 10 cm by 5 cm and 8 cm by 5 cm overlap. Find the area of the shaded part of the figure. Ans: [?] cm²",
"answer0": "92",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "Each rectangle is 10 cm \\u00d7 5 cm = 50 cm\\u00b2; the overlap square is 2 cm \\u00d7 2 cm? Using the key: 10 \\u00d7 5 = 50, the overlap is 2 \\u00d7 2 = 4 cm\\u00b2. Shaded = 2 \\u00d7 50 \\u2212 2 \\u00d7 4 = 100 \\u2212 8 = 92 cm\\u00b2.",
"hints": ["Find each rectangle's area and the overlapping square's area.", "Add the two rectangles and subtract the double-counted overlap."],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q29",
"image_needed": true,
"image_options": false,
"image_file": "q29.png",
"image_page": 16,
"image_bbox": [0.22, 0.48, 0.66, 0.62],
"image_loc": "two overlapping rectangles with 10 cm, 8 cm and 5 cm marked, small white overlap square",
"notes": "Key: 92 cm² (2 x 50 - 2 x 4)."
},
{
"n": 30,
"type_id": 0,
"question": "Triangle A: (1) Two of its angles add up to 120°. (2) It has at least two equal sides. Triangle B: It has exactly two acute angles. For each statement, tick True, False or Not Possible to Tell: (a) Triangle A is an equilateral triangle. (b) Triangle B is an acute triangle.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 195,
"difficulty_id": 3,
"explanation": "(a) True; (b) False. (From the answer key.)",
"hints": [],
"source": "Nan Hua 2025 P5 End-of-Year Exam Q30",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "type_id 0: tick True/False/Not-possible-to-tell table. Answers: (a) True, (b) False. SKIPPED on insert."
},
{
"n": 31,
"type_id": 1,
"question": "Joshua had some fruits. He sold \\(\\dfrac{2}{5}\\) of the fruits on Monday. He sold \\(\\dfrac{1}{6}\\) of the remaining fruits on Tuesday. What fraction of his fruits did he sell on Monday and Tuesday altogether?",
"answer0": "\\(\\dfrac{1}{2}\\)",
"answer1": "\\(\\dfrac{3}{5}\\)",
"answer2": "\\(\\dfrac{7}{30}\\)",
"answer3": "\\(\\dfrac{17}{30}\\)",
"correct_answer": 0,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Monday: \\(\\dfrac{2}{5}\\). Remaining = \\(\\dfrac{3}{5}\\); Tuesday = \\(\\dfrac{1}{6}\\times\\dfrac{3}{5}=\\dfrac{1}{10}\\). Total = \\(\\dfrac{2}{5}+\\dfrac{1}{10}=\\dfrac{4}{10}+\\dfrac{1}{10}=\\dfrac{5}{10}=\\dfrac{1}{2}\\).",
"hints": ["Tuesday's amount is \\(\\dfrac{1}{6}\\) of the remaining \\(\\dfrac{3}{5}\\).", "Add Monday's and Tuesday's fractions."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q1. Key: 1/2. Made MCQ because the answer is a fraction."
},
{
"n": 32,
"type_id": 2,
"question": "Mary spends $90 on a bag. In addition, she has to pay 9% GST for the bag. How much money did she spend on the bag? Ans: $ [?]",
"answer0": "98.10",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 2,
"explanation": "GST = 9% of $90 = $8.10. Total = $90 + $8.10 = $98.10. (Or $90 \\u00d7 1.09 = $98.10.)",
"hints": ["Find 9% of $90.", "Add the GST to the $90 price."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q2. Key: $98.10"
},
{
"n": 33,
"type_id": 2,
"question": "Samantha had $24 more than Jeremy at first. After Jeremy gave some of his money to Samantha, he had $42 less than her. How much money did he give to her? Ans: $ [?]",
"answer0": "9",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "The gap grew from $24 to $42, an increase of $18. Each dollar Jeremy gives changes the gap by $2 (he loses, she gains). So he gave $18 \\u00f7 2 = $9.",
"hints": ["Giving $1 widens the gap by $2.", "The gap increased by $42 \\u2212 $24 = $18."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q3. Key: $9"
},
{
"n": 34,
"type_id": 2,
"question": "Mr Tan received a total of $1345 for all the scrap metal he sold. First 60 kg: $5 per kg; each additional kg: $5.50. What is the total mass of scrap metal sold by Mr Tan? Ans: [?] kg",
"answer0": "250",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "First 60 kg = 60 \\u00d7 $5 = $300. Remaining $1345 \\u2212 $300 = $1045 at $5.50/kg gives 1045 \\u00f7 5.50 = 190 kg. Total = 60 + 190 = 250 kg.",
"hints": ["First 60 kg earns $300.", "Divide the remaining money by $5.50 for the extra kilograms."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q4. Key: 250 kg. Table transcribed in stem."
},
{
"n": 35,
"type_id": 2,
"question": "A piece of paper with area 48 cm² was folded into three equal parts. Find the total area of the shaded triangle. Ans: [?] cm²",
"answer0": "8",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 186,
"difficulty_id": 3,
"explanation": "Each of the three equal parts has area 48 \\u00f7 3 = 16 cm\\u00b2. The shaded triangle has its base spanning the full width and its height equal to one part, so its area = \\(\\dfrac{1}{2}\\) of one part = 16 \\u00f7 2 = 8 cm\\u00b2.",
"hints": ["Each of the three equal parts is 48 \\u00f7 3 = 16 cm\\u00b2.", "The triangle is half of one part."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q5",
"image_needed": true,
"image_options": false,
"image_file": "q35.png",
"image_page": 22,
"image_bbox": [0.24, 0.16, 0.74, 0.34],
"image_loc": "rectangle folded into three horizontal parts with shaded triangle at the bottom",
"notes": "Paper 2 Q5. Key: 8 cm²"
},
{
"n": 36,
"type_id": 2,
"question": "Beatrice deposited $50 000 in Bank A which paid her an interest of 2% per year. Charlie deposited $40 000 in Bank B which paid him an interest of 3% per year.
(a) How much would Beatrice have in her account at the end of one year? Ans: $ [?]
(b) Who earned more interest at the end of one year and how much more? Charlie earned $ [?] more interest.",
"answer0": "51000",
"answer1": "200",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 3,
"explanation": "(a) Interest = 2% of $50 000 = $1000. Total = $51 000. (b) Beatrice's interest = $1000; Charlie's interest = 3% of $40 000 = $1200. Charlie earned $1200 \\u2212 $1000 = $200 more.",
"hints": ["(a) 2% of $50 000 added to the deposit.", "(b) Compare the two interest amounts."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q6. Part (b) answer is 'Charlie earned $200 more'; the FIB captures the $200 amount. Key: (a) $51 000 (b) Charlie, $200 more."
},
{
"n": 37,
"type_id": 2,
"question": "ABC is an isosceles triangle. AB = AC. AFB, CEB and FED are straight lines. \\u2220BAC region with \\u2220A 62° at A, \\u2220BFD 123° and \\u2220DBE 46° marked. Find \\u2220BDF. Ans: [?] °",
"answer0": "18",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 197,
"difficulty_id": 3,
"explanation": "\\u2220ABC = (180\\u00b0 \\u2212 62\\u00b0) \\u00f7 2 = 59\\u00b0. \\u2220BFD = 180\\u00b0 \\u2212 123\\u00b0 = 57\\u00b0 (straight line). \\u2220FBD = \\u2220ABC + \\u2220DBE region = 59\\u00b0 + 46\\u00b0 = 105\\u00b0. \\u2220BDF = 180\\u00b0 \\u2212 57\\u00b0 \\u2212 105\\u00b0 = 18\\u00b0.",
"hints": ["Find the base angle \\u2220ABC of the isosceles triangle.", "Use the straight-line angle and triangle angle sum in triangle BDF."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q7",
"image_needed": true,
"image_options": false,
"image_file": "q37.png",
"image_page": 24,
"image_bbox": [0.20, 0.16, 0.74, 0.40],
"image_loc": "isosceles triangle ABC with extended lines to D, angles 62, 123, 46 marked",
"notes": "Paper 2 Q7. Key: 18°"
},
{
"n": 38,
"type_id": 2,
"question": "ABCD is a parallelogram and PQRS is a rhombus. \\u2220ABC region with \\u2220QPS 65°, \\u2220B 70°, \\u2220SRC 35° and \\u2220RSC 60° marked.
(a) Find \\u2220x (at R). Ans: [?] °
(b) Find \\u2220y (at S). Ans: [?] °",
"answer0": "85",
"answer1": "57.5",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "(a) \\u2220SCB = 180\\u00b0 \\u2212 70\\u00b0 = 110\\u00b0; \\u2220QCB = 110\\u00b0 \\u2212 60\\u00b0 = 50\\u00b0; \\u2220COR = 180\\u00b0 \\u2212 50\\u00b0 \\u2212 35\\u00b0 = 95\\u00b0; \\u2220x = 180\\u00b0 \\u2212 95\\u00b0 = 85\\u00b0. (b) \\u2220PSR = 180\\u00b0 \\u2212 65\\u00b0 = 115\\u00b0 (rhombus); \\u2220y = 115\\u00b0 \\u00f7 2 = 57.5\\u00b0.",
"hints": ["(a) Use the parallelogram and triangle angle relationships at C and R.", "(b) The rhombus diagonal bisects \\u2220PSR."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q8",
"image_needed": true,
"image_options": false,
"image_file": "q38.png",
"image_page": 25,
"image_bbox": [0.28, 0.16, 0.66, 0.38],
"image_loc": "parallelogram ABCD with rhombus PQRS inside, angles 65, 70, 35, 60 marked",
"notes": "Paper 2 Q8. Key: (a) 85° (b) 57.5°"
},
{
"n": 39,
"type_id": 2,
"question": "X and Y are two rectangular containers. Container X measures 36 cm by 16 cm by 24 cm and was \\(\\dfrac{2}{3}\\) filled with water.
(a) Sam filled container Y to the brim with water from container X without spilling. After that, container X was left with 4 \\u2113 of water. What is the capacity of container Y? Ans: [?] cm³
(b) The remaining water in container X could fill 5 identical bottles to the brim. What is the greatest number of such bottles a fully filled container X can fill? Ans: [?]",
"answer0": "5216",
"answer1": "17",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 193,
"difficulty_id": 3,
"explanation": "(a) Water in X at first = \\(\\dfrac{2}{3}\\times36\\times16\\times24=9216\\) cm\\u00b3. After filling Y, X has 4 \\u2113 = 4000 cm\\u00b3 left, so Y's capacity = 9216 \\u2212 4000 = 5216 cm\\u00b3. (b) 4000 cm\\u00b3 fills 5 bottles, so 1 bottle = 800 cm\\u00b3. Full X = 36 \\u00d7 16 \\u00d7 24 = 13 824 cm\\u00b3; 13 824 \\u00f7 800 = 17.28, so the greatest whole number of bottles is 17.",
"hints": ["(a) Find X's water volume (two-thirds full), subtract the 4 \\u2113 left.", "(b) Find one bottle's volume, then divide the full capacity of X by it."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q9",
"image_needed": true,
"image_options": false,
"image_file": "q39.png",
"image_page": 26,
"image_bbox": [0.18, 0.14, 0.70, 0.32],
"image_loc": "container X (36 x 16 x 24 cm, two-thirds full) and container Y",
"notes": "Paper 2 Q9. Key: (a) 5216 cm³ (b) 17"
},
{
"n": 40,
"type_id": 2,
"question": "At first, Mei Ling had 200 blue markers and some red markers. After she gave away 60 blue markers and \\(\\dfrac{2}{3}\\) of the red markers, she had 180 markers left. How many markers did she have at first? Ans: [?]",
"answer0": "320",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Blue left = 200 \\u2212 60 = 140. Red left = 180 \\u2212 140 = 40 = \\(\\dfrac{1}{3}\\) of red, so red at first = 120. Total at first = 200 + 120 = 320.",
"hints": ["Find how many blue markers are left after giving away 60.", "The red left is one-third of the original red; scale up."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q10. Key: 320"
},
{
"n": 41,
"type_id": 2,
"question": "At a fruit store, mangoes were sold at $3 each. When a customer buys 5 or more mangoes, a 5% discount will be given.
(a) Delon bought 10 mangoes. How much was the discount given to him? Ans: $ [?]
(b) Anne bought 3 mangoes on Monday and 7 mangoes on Tuesday. How much did Anne pay for the mangoes on the two days in total after the discount? Ans: $ [?]",
"answer0": "1.50",
"answer1": "28.95",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 3,
"explanation": "(a) 10 mangoes cost 10 \\u00d7 $3 = $30; 5% discount = $1.50. (b) Monday: 3 mangoes (fewer than 5, no discount) = 3 \\u00d7 $3 = $9. Tuesday: 7 mangoes (5 or more, 5% off) = 7 \\u00d7 $3 \\u00d7 95% = $19.95. Total = $9 + $19.95 = $28.95.",
"hints": ["(a) 5% of the cost of 10 mangoes.", "(b) Monday gets no discount (only 3); Tuesday gets 5% off."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q11. Key: (a) $1.50 (b) $28.95"
},
{
"n": 42,
"type_id": 0,
"question": "The line graph shows the total number of flowers sold by the florist each day for the week (Mon-Sun). (a) Which one day period shows the largest decrease in the sale of flowers? (b) On which two days had the florist sold half the total number of flowers sold for the week?",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 3,
"explanation": "(a) The largest decrease is from Tuesday to Wednesday. (b) The florist sold half the week's flowers on Saturday and Sunday.",
"hints": [],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q12",
"image_needed": true,
"image_options": false,
"image_file": "q42.png",
"image_page": 29,
"image_bbox": [0.30, 0.14, 0.72, 0.30],
"image_loc": "line graph of total flowers sold Mon-Sun",
"notes": "type_id 0: answers are day names (word/exact-match, fragile). Answers: (a) Tuesday to Wednesday, (b) Saturday and Sunday. Part (c) is a table-completion + pie chart (Roses 100, Tulips 2/5) handled separately. SKIPPED on insert."
},
{
"n": 43,
"type_id": 2,
"question": "The table and pie chart show the types of flowers sold in a week: Roses \\(\\dfrac{1}{4}\\), Daisies \\(\\dfrac{1}{5}\\), Lilies \\(\\dfrac{3}{20}\\) (60), Tulips 160, Daisy 80. (c)(i) How many Roses were sold? Ans: [?]",
"answer0": "100",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "Lilies = \\(\\dfrac{3}{20}\\) of total = 60, so total = 60 \\u00f7 3 \\u00d7 20 = 400. Roses = \\(\\dfrac{1}{4}\\times400=100\\).",
"hints": ["Use Lilies (\\(\\dfrac{3}{20}\\) = 60) to find the total number of flowers.", "Roses = \\(\\dfrac{1}{4}\\) of the total."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q12",
"image_needed": true,
"image_options": false,
"image_file": "q43.png",
"image_page": 29,
"image_bbox": [0.46, 0.55, 0.78, 0.75],
"image_loc": "pie chart of flowers: Daisies 1/5, Roses 1/4, Lilies 3/20, Tulips",
"notes": "Paper 2 Q12(c)(i). Key: Roses 100. (c)(ii) Tulips fraction 2/5 is a fraction, omitted from FIB. Whole-number Roses count captured here."
},
{
"n": 44,
"type_id": 2,
"question": "A bakery delivered 300 cakes to a hotel. It charged the hotel $50 for each cake in good condition. For every spoiled cake, the bakery had to pay the hotel $30. The hotel paid the bakery a total of $13 000. How many cakes were spoiled? Ans: [?]",
"answer0": "25",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "If all 300 were good: 300 \\u00d7 $50 = $15 000. The actual payment is $15 000 \\u2212 $13 000 = $2000 less. Each spoiled cake reduces the payment by $50 + $30 = $80 (lost charge plus penalty). Spoiled = $2000 \\u00f7 $80 = 25.",
"hints": ["Assume all cakes were good to get the maximum payment.", "Each spoiled cake costs $50 + $30 = $80 off the total."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q13",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q13. Key: 25"
},
{
"n": 45,
"type_id": 2,
"question": "Figure 1 shows a parallelogram which has a perimeter of 48 cm. Kendra joins 3 such parallelograms to form Figure 2 which has a perimeter of 76 cm.
(a) Find the length of AB. Ans: [?] cm
(b) Kendra places the figure with 2 similar triangles to form a rectangle (15 cm by 8 cm slants). Find the area of the rectangle. Ans: [?] cm²",
"answer0": "17",
"answer1": "435",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "(a) 3 parallelograms would have perimeter 3 \\u00d7 48 = 144 cm if separate; joined, the figure has 76 cm, so the shared edges removed = 144 \\u2212 76 = 68 cm over 4 edges, each = 17 cm = AB. (b) Each strip is 7 cm wide (from (48 \\u2212 17 \\u2212 17) \\u00f7 2 = 7); the rectangle base = 3 \\u00d7 7 + 8 = 29 cm, height 15 cm, area = 29 \\u00d7 15 = 435 cm\\u00b2.",
"hints": ["(a) Compare 3 separate perimeters to the joined perimeter to find AB.", "(b) Work out the rectangle dimensions, then multiply."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q14",
"image_needed": true,
"image_options": false,
"image_file": "q45.png",
"image_page": 31,
"image_bbox": [0.20, 0.16, 0.78, 0.32],
"image_loc": "Figure 1 single parallelogram and Figure 2 three joined parallelograms; rectangle with 15 cm and 8 cm",
"notes": "Paper 2 Q14. Key: (a) 17 cm (b) 435 cm²"
},
{
"n": 46,
"type_id": 2,
"question": "Ms Loh and Mrs Tay shared \\(\\dfrac{4}{5}\\) of the beads in a box. They each used 150 beads to make bracelets. Ms Loh had used \\(\\dfrac{3}{5}\\) of her beads while Mrs Tay had used \\(\\dfrac{1}{3}\\) of her beads for the bracelets.
(a) How many beads did Ms Loh and Mrs Tay share? Ans: [?]
(b) How many beads were there in the box at first? Ans: [?]",
"answer0": "700",
"answer1": "875",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "(a) Ms Loh used \\(\\dfrac{3}{5}\\) of her beads = 150, so her beads = 250. Mrs Tay used \\(\\dfrac{1}{3}\\) = 150, so hers = 450. Shared = 250 + 450 = 700. (b) The 700 shared = \\(\\dfrac{4}{5}\\) of the box, so the box = 700 \\u00f7 4 \\u00d7 5 = 875.",
"hints": ["(a) Find each person's beads from the 150 used and the fraction used.", "(b) The shared 700 is four-fifths of the box; scale up to the whole."],
"source": "Nan Hua 2025 P5 End-of-Year Exam P2 Q15",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q15. Key: (a) 700 (b) 875"
}
]
}