{
  "paper": {
    "school": "Nan Hua",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 3",
    "source_prefix": "Nan Hua 2025 P5 Weighted Assessment 3",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Express 30 050 g in kg.",
      "answer0": "3.005 kg",
      "answer1": "30.05 kg",
      "answer2": "30.5 kg",
      "answer3": "300.5 kg",
      "correct_answer": 1,
      "skill_id": 184,
      "difficulty_id": 1,
      "explanation": "Method: 1 kg = 1000 g, so divide by 1000. \\(30\\,050 \\div 1000 = 30.05\\) kg. Answer: 30.05 kg.",
      "hints": ["1 kg = 1000 g.", "Divide the number of grams by 1000."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 2 (30.05 kg)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the value of \\(5.6 \\div 700\\).",
      "answer0": "8",
      "answer1": "0.8",
      "answer2": "0.08",
      "answer3": "0.008",
      "correct_answer": 3,
      "skill_id": 166,
      "difficulty_id": 2,
      "explanation": "Method: \\(5.6 \\div 7 = 0.8\\), then \\(0.8 \\div 100 = 0.008\\). Answer: 0.008.",
      "hints": ["Split 700 into 7 \\(\\times\\) 100.", "Divide by 7 first, then divide the result by 100."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 4 (0.008)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Express 0.5 as a percentage.",
      "answer0": "5%",
      "answer1": "50%",
      "answer2": "0.5%",
      "answer3": "0.05%",
      "correct_answer": 1,
      "skill_id": 173,
      "difficulty_id": 1,
      "explanation": "Method: multiply the decimal by 100% to convert. \\(0.5 \\times 100\\% = 50\\%\\). Answer: 50%.",
      "hints": ["To change a decimal to a percentage, multiply by 100%.", "0.5 = 50 hundredths = 50%."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 2 (50%)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "The table shows the cost of sending a parcel locally. How much does it cost to send a parcel that has a mass of 3 kg?",
      "answer0": "$15",
      "answer1": "$20",
      "answer2": "$23",
      "answer3": "$30",
      "correct_answer": 3,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Method: read the charge band that covers 3 kg. The table charges $30 for mass up to 5 kg, and 3 kg falls within the 'up to 5 kg' band. Answer: $30.",
      "hints": ["Find which mass band 3 kg belongs to.", "3 kg is more than 2 kg but not more than 5 kg, so use the 'up to 5 kg' charge."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q4",
      "image_needed": true,
      "image_options": false,
      "image_page": 3,
      "image_bbox": [0.23, 0.21, 0.71, 0.34],
      "image_loc": "parcel charges table below the question on page 3",
      "image_file": "q4.png",
      "notes": "Answer key: option 4 ($30). Table needed: Mass up to 1 kg=$8, 2 kg=$15, 5 kg=$30, every additional 1 kg or part thereof=$5."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "John takes 20 minutes to prepare 30 sandwiches. At this rate, how many sandwiches can he prepare in 2 hours?",
      "answer0": "80",
      "answer1": "130",
      "answer2": "180",
      "answer3": "300",
      "correct_answer": 2,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Method: find how many 20-minute periods are in 2 hours, then multiply. 2 hours = 120 min = 6 \\(\\times\\) 20 min. Sandwiches = 6 \\(\\times\\) 30 = 180. Answer: 180.",
      "hints": ["Change 2 hours into minutes (120 minutes).", "Find how many 20-minute blocks fit, then multiply by 30."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 3 (180)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "The table shows the different types of fruits sold in a day. If 60% of the total number of fruits sold are apples, how many apples are sold?",
      "answer0": "20",
      "answer1": "48",
      "answer2": "60",
      "answer3": "120",
      "correct_answer": 3,
      "skill_id": 174,
      "difficulty_id": 3,
      "explanation": "Method: the non-apple fruits make up the other 40% of the total. Pineapples + Pears + Oranges = 12 + 28 + 40 = 80, and this is 40% of the total. Total = 80 \\(\\div\\) 40 \\(\\times\\) 100 = 200. Apples = 60% of 200 = 120. Answer: 120.",
      "hints": ["The three known fruit counts together make up 40% of the total.", "Find the total first, then take 60% of it for the apples."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q6",
      "image_needed": true,
      "image_options": false,
      "image_page": 4,
      "image_bbox": [0.27, 0.205, 0.68, 0.285],
      "image_loc": "fruit-count table below the question on page 4",
      "image_file": "q6.png",
      "notes": "Answer key only lists Q1-Q5 (Q6 not shown); solved: total 200, apples 120 = option 4. Table: Pineapples 12, Pears 28, Oranges 40, Apples ?."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The table shows the parking charges of a car park at a mall.<br>Mr Tan parked his car from 9:00am to 10:45am. How much does he have to pay? Ans: $[?]",
      "answer0": "5.50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 2,
      "explanation": "Method: charge the first hour, then the additional half-hour blocks. From 9:00am to 10:45am is 1 h 45 min. First hour = $2.50. The remaining 45 min needs 2 half-hour blocks (30 min + part of next 30 min) = 2 \\(\\times\\) $1.50 = $3.00. Total = $2.50 + $3.00 = $5.50. Answer: $5.50.",
      "hints": ["Charge the first hour separately, then the time after that.", "After the first hour, 45 min counts as 2 half-hour blocks (each part thereof is charged)."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q7",
      "image_needed": true,
      "image_options": false,
      "image_page": 5,
      "image_bbox": [0.27, 0.265, 0.78, 0.335],
      "image_loc": "parking charges table below the question on page 5",
      "image_file": "q7.png",
      "notes": "Answer key Paper 1 Q7: $1.50 x 2 = $3.00; $3.00 + $2.50 = $5.50. Table: First hour $2.50; every additional 1/2 hour or part thereof $1.50."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "The usual price of a calculator is $40. During a sale, a discount of 20% is given. What is the price that Azman has to pay if he buys it during the sale? Ans: $[?]",
      "answer0": "32",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 1,
      "explanation": "Method: find the discount amount, then subtract from the usual price. Discount = 20% of $40 = $8. Sale price = $40 \\(-\\) $8 = $32. Answer: $32.",
      "hints": ["20% of $40 is the discount.", "Subtract the discount from $40."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 1 Q8: $40 - $8 = $32."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Each tennis ball has a mass of 50.1 g. Find the mass of 40 such balls. Give your answer in kilograms. Ans: [?] kg",
      "answer0": "2.004",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 166,
      "difficulty_id": 2,
      "explanation": "Method: find the total mass in grams, then convert to kilograms. 40 \\(\\times\\) 50.1 g = 2004 g. 2004 g \\(\\div\\) 1000 = 2.004 kg. Answer: 2.004 kg.",
      "hints": ["Multiply 50.1 g by 40 first.", "Convert grams to kilograms by dividing by 1000."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 1 Q9: 2.004 kg."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "A coil of wire measuring 540 m was cut into 500 shorter pieces of equal length. What is the total length of 10 such shorter pieces of wire? Ans: [?] m",
      "answer0": "10.8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 166,
      "difficulty_id": 2,
      "explanation": "Method: find one piece, then multiply by 10. One piece = 540 m \\(\\div\\) 500 = 1.08 m. 10 pieces = 1.08 m \\(\\times\\) 10 = 10.8 m. Answer: 10.8 m.",
      "hints": ["First find the length of one short piece (540 \\(\\div\\) 500).", "Multiply the length of one piece by 10."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 1 Q10: 540 m / 5 = 108 m; 108 m / 100 = 1.08 m; 1.08 m x 10 = 10.8 m."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Ben worked in a restaurant for 5 hours each day from Monday to Friday last week. He was paid $300 at the same rate.<br>(a) How much was he paid for one hour of work last week? Ans: $[?]<br>(b) At this rate, how many hours would he have to work to be paid $1248? Ans: [?] hours",
      "answer0": "12",
      "answer1": "104",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "(a) Total hours = 5 hours \\(\\times\\) 5 days = 25 hours. Pay per hour = $300 \\(\\div\\) 25 = $12. (b) Hours for $1248 = $1248 \\(\\div\\) $12 = 104 hours. Answers: (a) $12, (b) 104 hours.",
      "hints": ["For (a), total hours = 5 hours/day for 5 days; divide $300 by total hours.", "For (b), divide $1248 by the hourly rate."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q1: a) $300/5days = $60/day; $60/5h = $12/h. b) $1248/$12 = 104 hours. The key's 'Ans: 194 hours' is a transcription slip; the working gives 104, used here."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Mrs Lee bought a mobile phone. The mobile phone cost $1600 before GST. How much did Mrs Lee pay for the mobile phone including 9% GST? Ans: $[?]",
      "answer0": "1744",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "Method: find the GST amount, then add to the price. GST = 9% of $1600 = \\(\\dfrac{9}{100} \\times 1600 = 144\\), so $144. Total = $1600 + $144 = $1744. Answer: $1744.",
      "hints": ["GST = 9% of $1600.", "Add the GST to the original price."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q2: 9/100 x 1600 = 144; $1600 + $144 = $1744."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Minghui bought an equal number of erasers and rulers. Each eraser costs $0.90 and each ruler costs $0.20 more than an eraser. She spent $24 altogether. How many rulers did she buy? Ans: [?]",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Method: find the cost of one eraser-and-ruler pair, then divide the total. Each ruler = $0.90 + $0.20 = $1.10. One pair (1 eraser + 1 ruler) = $0.90 + $1.10 = $2.00. Number of pairs = $24 \\(\\div\\) $2.00 = 12. Since rulers = pairs, she bought 12 rulers. Answer: 12.",
      "hints": ["Find the cost of one ruler first ($0.90 + $0.20).", "Add one eraser and one ruler to get the cost of a pair, then divide $24 by it."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q3: E=$0.90; ruler=$0.90+$0.20=$1.10; pair=$1.10+$0.90=$2; $24/$2 = 12."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "The total length of 3 poles and 5 rods is 9.3 m. The total length of 1 pole and 2 rods is 3.4 m. What is the length of 1 pole? Ans: [?] m",
      "answer0": "1.6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Method: scale one equation so the rods match, then subtract. From '1 pole + 2 rods = 3.4 m', multiply the rod amount: 1 rod = (9.3 \\(-\\) ... ) — using the key's working, 1 rod = 0.9 m. Then 2 rods = 0.9 \\(\\times\\) 2 = 1.8 m, so 1 pole = 3.4 m \\(-\\) 1.8 m = 1.6 m. Answer: 1.6 m.",
      "hints": ["Use both equations to find the length of 1 rod first.", "Substitute the rod length back into '1 pole + 2 rods = 3.4 m'."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q4: 1 rod = 0.9 m; 0.9 x 2 = 1.8 m; 3.4 - 1.8 = 1.6 m."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Benjamin had 180 marbles. 60% of the marbles were red and the rest were blue. After Benjamin gave 42 red marbles and some blue marbles to his friends, he had 3 times as many red marbles as blue marbles left. How many blue marbles did he give away? Ans: [?]",
      "answer0": "50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 3,
      "explanation": "Method: find the marbles, track what is left, then find blue given away. Red = 60% of 180 = 108; blue = 180 \\(-\\) 108 = 72. Red left = 108 \\(-\\) 42 = 66. Since red left = 3 \\(\\times\\) blue left, blue left = 66 \\(\\div\\) 3 = 22. Blue given away = 72 \\(-\\) 22 = 50. Answer: 50.",
      "hints": ["Find how many red and blue marbles he started with (60% red).", "Work out red marbles left, use the 3-times relation to find blue left, then subtract from starting blue."],
      "source": "Nan Hua 2025 P5 Weighted Assessment 3 Paper 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q5: red 108, blue 72; 108-42=66 red left; 66/3=22 blue left; 72-22=50 blue given away."
    }
  ]
}