{
  "paper": {
    "school": "ACS Primary",
    "year": 2024,
    "level": "P4",
    "label": "Quiz 3",
    "source_prefix": "ACS 2024 P4 Quiz 3",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 9 in 5.092?",
      "answer0": "9 ones",
      "answer1": "9 tenths",
      "answer2": "9 hundredths",
      "answer3": "9 thousandths",
      "correct_answer": 2,
      "skill_id": 123,
      "difficulty_id": 1,
      "explanation": "In $$5.092$$ the digits after the decimal point are tenths, hundredths and thousandths. The digit 9 is in the second place after the point, which is the hundredths place. So its value is 9 hundredths.",
      "hints": ["Name the place-value columns after the decimal point: tenths, hundredths, thousandths.", "Count how many places the 9 is to the right of the decimal point."],
      "source": "ACS 2024 P4 Quiz 3 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (3) = 9 hundredths."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Express $$7\\frac{4}{5}$$ as a decimal.",
      "answer0": "7.4",
      "answer1": "7.45",
      "answer2": "7.08",
      "answer3": "7.8",
      "correct_answer": 3,
      "skill_id": 127,
      "difficulty_id": 1,
      "explanation": "Convert the fraction part: $$\\frac{4}{5}=\\frac{8}{10}=0.8$$. So $$7\\frac{4}{5}=7+0.8=7.8$$.",
      "hints": ["Make the denominator 10 by multiplying top and bottom by 2.", "$$\\frac{4}{5}=\\frac{8}{10}$$, which is 0.8."],
      "source": "ACS 2024 P4 Quiz 3 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option (4) = 7.8."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "Round 19.536 to the nearest hundredths.<br>$$19.536\\approx$$ [?]",
      "answer0": "19.54",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 128,
      "difficulty_id": 2,
      "explanation": "To round to the nearest hundredth, look at the thousandths digit. In $$19.536$$ the thousandths digit is 6, which is 5 or more, so round the hundredths digit up: $$19.53\\to19.54$$.",
      "hints": ["The hundredths place is the second digit after the decimal point.", "Look at the next digit (thousandths). If it is 5 or more, round up."],
      "source": "ACS 2024 P4 Quiz 3 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 19.54."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "Arrange the following decimals from the greatest to the smallest.<br>$$6.4$$&nbsp;&nbsp;&nbsp;$$0.64$$&nbsp;&nbsp;&nbsp;$$60.4$$&nbsp;&nbsp;&nbsp;$$6.04$$<br>[?] , [?] , [?] , [?]",
      "answer0": "60.4",
      "answer1": "6.4",
      "answer2": "6.04",
      "answer3": "0.64",
      "correct_answer": null,
      "skill_id": 124,
      "difficulty_id": 2,
      "explanation": "Compare the whole-number parts first: $$60.4$$ is the largest. Then $$6.4$$ and $$6.04$$ both start with 6, but $$6.4=6.40$$ is greater than $$6.04$$. Smallest is $$0.64$$. Greatest to smallest: $$60.4, 6.4, 6.04, 0.64$$.",
      "hints": ["Compare the whole-number part of each decimal first.", "When the whole parts are equal, compare the tenths, then hundredths."],
      "source": "ACS 2024 P4 Quiz 3 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Four blanks in order greatest->smallest. Key: 60.4 , 6.4 , 6.04 , 0.64."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "A pot contained $$3.4$$ $$l$$ of water. A kettle contained $$2.25$$ $$l$$ less water than the pot. How much water was there in 3 such kettles?<br>[?] $$l$$",
      "answer0": "3.45",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "Water in 1 kettle: $$3.4-2.25=1.15$$ l. Water in 3 kettles: $$1.15\\times3=3.45$$ l.",
      "hints": ["First find the water in one kettle: pot minus 2.25.", "Then multiply that amount by 3."],
      "source": "ACS 2024 P4 Quiz 3 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1k -> 3.4 - 2.25 = 1.15; 1.15 x 3 = 3.45L."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "David saved $5.50 a day for 4 days. He needed to save another $23.90 to buy a pair of shoes. What was the price of the pair of shoes?<br>$ [?]",
      "answer0": "57.90",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "Money David saved: $$\\$8.50\\times4=\\$34.00$$. Price of shoes = money saved + money still needed: $$\\$34.00+\\$23.90=\\$57.90$$.",
      "hints": ["First work out how much David saved in 4 days.", "Add the amount he still needs to find the full price."],
      "source": "ACS 2024 P4 Quiz 3 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Stem amount is $8.50 a day (key: 8.50 x 4 = 34.00; 23.90 + 34.00 = 57.90). Answer $57.90."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Mrs Tan bought a blouse and a dress. The blouse cost $22.30. The dress cost 4 times as much as the blouse.<br>(a) What was the cost of the dress? $ [?]<br>(b) How much more did Mrs Tan pay for the dress than the blouse? $ [?]",
      "answer0": "89.20",
      "answer1": "66.90",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "(a) Dress = $$\\$22.30\\times4=\\$89.20$$. (b) Difference = dress - blouse = $$\\$89.20-\\$22.30=\\$66.90$$ (equivalently $$\\$22.30\\times3=\\$66.90$$).",
      "hints": ["The dress is 4 times the blouse: multiply 22.30 by 4.", "For (b), the dress is 4 units and the blouse is 1 unit, so the difference is 3 units."],
      "source": "ACS 2024 P4 Quiz 3 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two answer blanks (parts a and b). Key: a) 22.30 x 4 = 89.20; b) 22.30 x 3 = 66.90."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Mrs Yeo mixed $$5.7$$ $$l$$ of orange syrup with $$9.55$$ $$l$$ of water to make an orange drink.<br>(a) How much orange drink did Mrs Yeo make? [?] $$l$$<br>(b) She poured all the orange drink that she made equally into 5 jugs. How many litres of orange drink was in each jug? [?] $$l$$",
      "answer0": "15.25",
      "answer1": "3.05",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "(a) Total drink = $$5.7+9.55=15.25$$ l. (b) Poured equally into 5 jugs: $$15.25\\div5=3.05$$ l per jug.",
      "hints": ["Add the syrup and the water to get the total drink.", "Divide the total by the number of jugs (5)."],
      "source": "ACS 2024 P4 Quiz 3 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two answer blanks (parts a and b). Key: a) 5.7 + 9.55 = 15.25L; b) 3.05L. Key working writes '15.25 / 6' but the question states 5 jugs and 15.25/5 = 3.05 matches the printed answer, so divisor is 5 (key typo)."
    }
  ]
}