{
  "paper": {
    "school": "St Hilda's",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 3",
    "source_prefix": "St Hilda's 2025 P5 Weighted Assessment 3",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which one of the following is the same as 39.02 m?",
      "answer0": "3 m 92 cm",
      "answer1": "3 m 902 cm",
      "answer2": "39 m 2 cm",
      "answer3": "39 m 20 cm",
      "correct_answer": 2,
      "skill_id": 184,
      "difficulty_id": 2,
      "explanation": "Method: 1 m = 100 cm, so 0.02 m = 2 cm. 39.02 m = 39 m + 0.02 m = 39 m 2 cm. Answer: 39 m 2 cm.",
      "hints": ["1 m = 100 cm; the whole-number part stays as metres.", "0.02 m converts to 2 cm."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank on the key page; solved: 39.02 m = 39 m 2 cm = option 3."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is the value of \\(21.3 \\times 300\\)?",
      "answer0": "21.6",
      "answer1": "63.9",
      "answer2": "2160",
      "answer3": "6390",
      "correct_answer": 3,
      "skill_id": 166,
      "difficulty_id": 1,
      "explanation": "Method: \\(21.3 \\times 3 = 63.9\\), then \\(63.9 \\times 100 = 6390\\). Answer: 6390.",
      "hints": ["Multiply by 3 first, then by 100.", "Multiplying by 100 moves the decimal point two places right."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank; solved: 21.3 x 300 = 6390 = option 4."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "A bakery sold 6 muffins for $15. What is the price of one muffin?",
      "answer0": "$0.25",
      "answer1": "$2.05",
      "answer2": "$2.30",
      "answer3": "$2.50",
      "correct_answer": 3,
      "skill_id": 167,
      "difficulty_id": 1,
      "explanation": "Method: divide the total price by the number of muffins. $15 \\(\\div\\) 6 = $2.50. Answer: $2.50.",
      "hints": ["Divide $15 by 6.", "$15 \\(\\div\\) 6 = $2.50 per muffin."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank; solved: $15 / 6 = $2.50 = option 4."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "A machine can assemble 50 toy cars in 10 minutes. How many toy cars can it assemble in 2 minutes?",
      "answer0": "5",
      "answer1": "10",
      "answer2": "40",
      "answer3": "60",
      "correct_answer": 1,
      "skill_id": 152,
      "difficulty_id": 1,
      "explanation": "Method: find cars per minute, then multiply by 2. 50 \\(\\div\\) 10 = 5 cars per minute. 5 \\(\\times\\) 2 = 10. Answer: 10.",
      "hints": ["Find how many cars the machine makes in 1 minute.", "Multiply the per-minute rate by 2."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank; solved: 50/10 = 5/min, 5 x 2 = 10 = option 2."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Express 0.55 as percentage.",
      "answer0": "550 %",
      "answer1": "55 %",
      "answer2": "5.5%",
      "answer3": "0.55%",
      "correct_answer": 1,
      "skill_id": 173,
      "difficulty_id": 1,
      "explanation": "Method: multiply the decimal by 100%. \\(0.55 \\times 100\\% = 55\\%\\). Answer: 55%.",
      "hints": ["To change a decimal to a percentage, multiply by 100%.", "0.55 = 55 hundredths = 55%."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank; solved: 0.55 = 55% = option 2."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "What is 45% of \\(800\\,\\ell\\)?",
      "answer0": "320 \\(\\ell\\)",
      "answer1": "360 \\(\\ell\\)",
      "answer2": "755 \\(\\ell\\)",
      "answer3": "845 \\(\\ell\\)",
      "correct_answer": 1,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Method: \\(45\\% = \\dfrac{45}{100}\\). \\(\\dfrac{45}{100} \\times 800 = 360\\,\\ell\\). Answer: 360 \\(\\ell\\).",
      "hints": ["45% means 45 out of every 100.", "Multiply \\(\\dfrac{45}{100}\\) by 800."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank; solved: 45/100 x 800 = 360 = option 2."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "The mass of a tennis ball is 56 g. The mass of an empty box is 250 g. Find the total mass of the box containing 30 tennis balls. Give your answer in kilograms.",
      "answer0": "1.58 kg",
      "answer1": "1.68 kg",
      "answer2": "1.83 kg",
      "answer3": "1.93 kg",
      "correct_answer": 3,
      "skill_id": 167,
      "difficulty_id": 2,
      "explanation": "Method: total mass = mass of 30 balls + box, then convert to kg. 30 \\(\\times\\) 56 g = 1680 g; + 250 g = 1930 g. 1930 g \\(\\div\\) 1000 = 1.93 kg. Answer: 1.93 kg.",
      "hints": ["Find the mass of 30 balls (30 \\(\\times\\) 56 g), then add the box.", "Convert the total grams to kilograms by dividing by 1000."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank; solved: 30x56=1680, +250=1930 g = 1.93 kg = option 4."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "For every 3 steps an adult takes, a toddler takes 7 steps to cover the same distance. When an adult takes 24 steps, how many steps will a toddler take?",
      "answer0": "21",
      "answer1": "45",
      "answer2": "56",
      "answer3": "168",
      "correct_answer": 2,
      "skill_id": 181,
      "difficulty_id": 2,
      "explanation": "Method: the ratio of adult to toddler steps is 3 : 7. Adult 24 steps = 8 \\(\\times\\) 3, so toddler = 8 \\(\\times\\) 7 = 56. Answer: 56.",
      "hints": ["Adult : toddler = 3 : 7 (equivalent ratios).", "24 \\(\\div\\) 3 = 8 groups; multiply 7 by 8."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "MCQ answer-key row blank; solved: ratio 3:7, 24=8x3 so toddler=8x7=56 = option 3."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "A container holds 2.7 litres of water. How many millilitres of water do two such containers hold? Ans: [?] m\\(\\ell\\)",
      "answer0": "5400",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 184,
      "difficulty_id": 1,
      "explanation": "Method: find the total litres, then convert to millilitres. 2.7 \\(\\times\\) 2 = 5.4 \\(\\ell\\); 5.4 \\(\\times\\) 1000 = 5400 m\\(\\ell\\). Answer: 5400 m\\(\\ell\\).",
      "hints": ["Find the total volume of 2 containers first.", "1 \\(\\ell\\) = 1000 m\\(\\ell\\); multiply by 1000."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 1 Q9: 2.7 x 2 = 5.4; 5.4 x 1000 = 5400."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The table shows the parking charges at Hilton Mall.<br>Miss Nadiah parked her car at the mall from 2.25 pm to 4.05 pm. How much did she have to pay? Ans: $[?]",
      "answer0": "2.40",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Method: charge the first hour, then the additional 15-minute blocks. 2.25 pm to 4.05 pm is 1 h 40 min. First hour = $1.50. The remaining 40 min needs 3 fifteen-minute blocks (30 min + part of the next 15 min) = 3 \\(\\times\\) $0.30 = $0.90. Total = $1.50 + $0.90 = $2.40. Answer: $2.40.",
      "hints": ["Charge the first hour separately, then look at the time after the first hour.", "After the first hour, 40 min = 3 fifteen-minute blocks (each part block is charged)."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q10",
      "image_needed": true,
      "image_options": false,
      "image_page": 4,
      "image_bbox": [0.23, 0.485, 0.81, 0.55],
      "image_loc": "parking charges table below the question on page 4",
      "image_file": "q10.png",
      "notes": "Answer key Paper 1 Q10: 0.30 x 3 = 0.90; 1.50 + 0.90 = 2.40. Table: first hour or part thereof $1.50; every additional 15 minutes or part thereof $0.30."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "The pie chart shows the amount of money spent by Mr Lim on four items. What percentage of it did Mr Lim spend on the toaster? Ans: [?]%",
      "answer0": "42.5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 235,
      "difficulty_id": 3,
      "explanation": "Method: use the right-angle marks to find the total. The Fan ($40) takes a right angle (90 degrees = 25% = one quarter of the spending). So total = $40 \\(\\times\\) 4 = $160. Toaster percentage = \\(\\dfrac{68}{160} \\times 100\\% = 42.5\\%\\). Answer: 42.5%.",
      "hints": ["The right-angle sector (Fan, $40) is a quarter of the total, so total = $40 \\(\\times\\) 4.", "Toaster % = (toaster amount \\(\\div\\) total) \\(\\times\\) 100%."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q11",
      "image_needed": true,
      "image_options": false,
      "image_page": 5,
      "image_bbox": [0.34, 0.18, 0.66, 0.42],
      "image_loc": "pie chart in the middle of page 5 (Camera, Clock, Fan $40, Toaster $68)",
      "image_file": "q11.png",
      "notes": "Answer key Paper 1 Q11: 50%->40x2=80 (key uses Fan+Clock right angle = 50% giving total $160); 68/160 x 100% = 42.5%."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Strawberries are sold in boxes of 300 g. Ms Li wants to buy 2.8 kg of strawberries. What is the least number of boxes of strawberries she needs to buy? Ans: [?]",
      "answer0": "10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Method: convert kg to g, divide by box size, then round UP. 2.8 kg = 2800 g. 2800 \\(\\div\\) 300 = 9.33..., so she needs at least 10 boxes to have enough. Answer: 10.",
      "hints": ["Change 2.8 kg into grams (2800 g).", "Divide by 300 and round UP, since she must have at least 2.8 kg."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 1 Q12: 2800 / 300 = 10 (round up to the least whole number of boxes)."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The usual price of a pair of running shoes was $250. Aly bought it and had to pay 9% GST. What was the price of the running shoes including GST? Ans: $[?]",
      "answer0": "272.50",
      "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 = \\(\\dfrac{9}{100} \\times 250 = 22.50\\), so $22.50. Total = $250 + $22.50 = $272.50. Answer: $272.50.",
      "hints": ["GST = 9% of $250.", "Add the GST to the usual price."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 1 Q13: 9/100 x 250 = 22.50; 250 + 22.50 = 272.50."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Find the value of \\(524.5 \\div 100\\). Round your answer to 2 decimal places. Ans: [?]",
      "answer0": "5.25",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 168,
      "difficulty_id": 1,
      "explanation": "Method: divide by 100, then round to 2 decimal places. 524.5 \\(\\div\\) 100 = 5.245; rounded to 2 decimal places = 5.25 (the 5 in the thousandths place rounds up). Answer: 5.25.",
      "hints": ["Dividing by 100 moves the decimal point two places left.", "5.245 rounded to 2 decimal places becomes 5.25."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q1: 524.5 / 100 = 5.245 = 5.25."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "A printer can print 300 pages in 12 minutes. At this rate, how many pages can it print in 30 minutes? Ans: [?]",
      "answer0": "750",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Method: find pages per minute, then multiply by 30. 300 \\(\\div\\) 12 = 25 pages per minute. 25 \\(\\times\\) 30 = 750. Answer: 750.",
      "hints": ["Find how many pages print in 1 minute.", "Multiply the per-minute rate by 30."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q2: 300/12 = 25; 25 x 30 = 750."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Angel had 40 coins in her piggy bank. 30% of the coins were one-dollar coins and the rest were fifty-cent coins. She spent 7 of the fifty-cent coins. What was the total amount left in her piggy bank? Ans: $[?]",
      "answer0": "22.50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 3,
      "explanation": "Method: find each coin type, remove the spent coins, then total the value. Fifty-cent coins = 70% of 40 = 28; one-dollar coins = 40 \\(-\\) 28 = 12. After spending 7 fifty-cent coins, 28 \\(-\\) 7 = 21 remain. Value of fifty-cent coins left = 21 \\(\\times\\) $0.50 = $10.50. Value of one-dollar coins = 12 \\(\\times\\) $1 = $12. Total = $10.50 + $12 = $22.50. Answer: $22.50.",
      "hints": ["Find how many fifty-cent and one-dollar coins she had (70% are fifty-cent).", "Subtract the 7 spent coins, then add up the money values left."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q3: 70/100 x 40 = 28 fifty-cent; 28-7=21; 21x0.5=10.50; 40-28=12 one-dollar=$12; 10.50+12=22.50."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "The advertisement shows the admission fees to Happy Theme Park.<br>Tickets at $22.50 each. $10 discount for every 4 tickets.<br>Mr Arif brought a group of tourists to the park. He paid $307.50 for the admission fees. How many tickets did he buy? Ans: [?]",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Method: find the cost per group of 4 tickets, see how many full groups fit, then add the leftover tickets. Each group of 4 = 4 \\(\\times\\) $22.50 \\(-\\) $10 = $90 \\(-\\) $10 = $80. $307.50 \\(\\div\\) $80 = 3 groups with $67.50 left. 3 groups = 12 tickets. Leftover $67.50 \\(\\div\\) $22.50 = 3 more tickets (no discount). Total = 12 + 3 = 15. Answer: 15.",
      "hints": ["Work out the cost of a group of 4 tickets (with the $10 discount).", "Find how many full groups fit into $307.50, then count the remaining single tickets."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 2 Q4",
      "image_needed": true,
      "image_options": false,
      "image_page": 10,
      "image_bbox": [0.32, 0.12, 0.74, 0.235],
      "image_loc": "Happy Theme Park admission fee advertisement box near the top of page 10",
      "image_file": "q17.png",
      "notes": "Answer key Paper 2 Q4: 22.50x4=90; 90-10=80; 307.50/80=3 r 67.50; 3x4=12; 67.50/22.50=3; 12+3=15. The fee details are also given verbatim in the stem so the figure is optional context."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Water started to flow from Tap X into an empty tank at 10 30. At 11 10, \\(3.2\\,\\ell\\) of water was collected in the tank. At this rate, it took another 1 h 20 min to fill the tank completely. What was the capacity of the tank? Give your answer in litres. Ans: [?] l",
      "answer0": "9.6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 191,
      "difficulty_id": 3,
      "explanation": "Method: find the flow rate, find water added in the extra time, then add to the first amount. From 10 30 to 11 10 is 40 min, collecting 3.2 \\(\\ell\\), so rate = 3.2 \\(\\div\\) 40 = 0.08 \\(\\ell\\) per min. Extra 1 h 20 min = 80 min collects 0.08 \\(\\times\\) 80 = 6.4 \\(\\ell\\). Total capacity = 3.2 + 6.4 = 9.6 \\(\\ell\\). Answer: 9.6 \\(\\ell\\).",
      "hints": ["Find the flow rate from the first 40 minutes (3.2 \\(\\ell\\) in 40 min).", "Find the water added in the next 80 minutes, then add the first 3.2 \\(\\ell\\)."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 2 Q5",
      "image_needed": true,
      "image_options": false,
      "image_page": 11,
      "image_bbox": [0.27, 0.21, 0.69, 0.38],
      "image_loc": "rectangular tank with Tap X above it, middle-left of page 11",
      "image_file": "q18.png",
      "notes": "Answer key Paper 2 Q5: 40 min -> 3.2 l; rate 0.08 l/min; 80 min -> 6.4 l; 6.4 + 3.2 = 9.6 l."
    },
    {
      "n": 19,
      "type_id": 1,
      "question": "A florist bought 46 carnations, 70 tulips and some roses. The number of tulips is twice the number of roses.<br>(a) What percentage of the flowers she bought were roses? Give your answer correct to 1 decimal place.",
      "answer0": "23.2%",
      "answer1": "23.5%",
      "answer2": "30.5%",
      "answer3": "46.4%",
      "correct_answer": 0,
      "skill_id": 174,
      "difficulty_id": 3,
      "explanation": "Method: find the number of roses, the total, then the percentage. Roses = 70 \\(\\div\\) 2 = 35. Total = 46 + 70 + 35 = 151. Roses % = \\(\\dfrac{35}{151} \\times 100\\% = 23.2\\%\\) (to 1 decimal place). Answer: 23.2%.",
      "hints": ["Roses = half the number of tulips (70 \\(\\div\\) 2).", "Roses % = (roses \\(\\div\\) total flowers) \\(\\times\\) 100%."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 2 Q6a",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q6a: roses = 70/2 = 35; total = 151; 35/151 x 100% = 23.2%. Made MCQ to keep the part separate; correct option 1 (23.2%)."
    },
    {
      "n": 20,
      "type_id": 1,
      "question": "A florist bought 46 carnations, 70 tulips and some roses. The number of tulips is twice the number of roses.<br>(b) What percentage of the flowers she bought were carnations? Give your answer correct to 1 decimal place.",
      "answer0": "23.2%",
      "answer1": "30.5%",
      "answer2": "30.7%",
      "answer3": "46.0%",
      "correct_answer": 1,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Method: use the total of 151 flowers from part (a). Carnations % = \\(\\dfrac{46}{151} \\times 100\\% = 30.5\\%\\) (to 1 decimal place). Answer: 30.5%.",
      "hints": ["The total number of flowers is 151 (46 + 70 + 35).", "Carnations % = (46 \\(\\div\\) 151) \\(\\times\\) 100%."],
      "source": "St Hilda's 2025 P5 Weighted Assessment 3 Paper 2 Q6b",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key Paper 2 Q6b: 46/151 x 100% = 30.5%. Made MCQ to keep the part separate; correct option 2 (30.5%)."
    }
  ]
}