{
  "paper": {
    "school": "ACS Primary",
    "year": 2025,
    "level": "P4",
    "label": "Weighted Assessment 3",
    "source_prefix": "ACS 2025 P4 Weighted Assessment 3",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In 125.34, which digit is in the tenths place?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 123,
      "difficulty_id": 1,
      "explanation": "In a decimal, the first digit after the decimal point is the tenths place. In $$125.34$$ the digit after the point is 3, so the tenths digit is 3.",
      "hints": ["The tenths place is the first digit right after the decimal point.", "$$125.34$$ — read the digit immediately after the point."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (value 3)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Arrange the numbers from the smallest to the greatest.<br>$$6.7$$, $$0.67$$, $$6.07$$, $$0.76$$",
      "answer0": "0.67, 0.76, 6.07, 6.7",
      "answer1": "0.76, 0.67, 6.07, 6.7",
      "answer2": "6.07, 6.7, 0.67, 0.76",
      "answer3": "6.7, 6.07, 0.76, 0.67",
      "correct_answer": 0,
      "skill_id": 124,
      "difficulty_id": 1,
      "explanation": "Compare whole-number parts first: $$0.67$$ and $$0.76$$ are less than 1; $$6.07$$ and $$6.7$$ are more than 6. Within each pair compare tenths: $$0.67 < 0.76$$ and $$6.07 < 6.70$$. Order: 0.67, 0.76, 6.07, 6.7.",
      "hints": ["Compare the whole-number part first, then the tenths, then the hundredths.", "Line the numbers up by their decimal points to compare."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "What is the decimal represented by Z on the number line?<br>Ans: [?]",
      "answer0": "30.78",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 123,
      "difficulty_id": 2,
      "explanation": "The interval from $$30.7$$ to $$30.8$$ is divided into 5 equal parts, so each part is $$0.1 \\div 5 = 0.02$$. Z sits one small mark before $$30.8$$, so $$30.8 - 0.02 = 30.78$$.",
      "hints": ["First find the value of one small interval: $$0.1 \\div 5$$.", "Z is one step short of $$30.8$$."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 2,
      "image_bbox": [0.30, 0.27, 0.85, 0.36],
      "image_loc": "number line in the upper-middle of the page, between labels 30.7 and 30.8 with arrow Z above",
      "notes": "Key: 30.78. Number line from 30.7 to 30.8 split into 5 equal parts; Z marks the 4th tick (30.78)."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "(a) Express $$5\\frac{73}{100}$$ as a decimal. [?]<br>(b) Round $$45.999$$ to the nearest 1 decimal place. [?]",
      "answer0": "5.73",
      "answer1": "46.0",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 127,
      "difficulty_id": 2,
      "explanation": "(a) $$\\frac{73}{100}$$ means 73 hundredths $$= 0.73$$, so $$5\\frac{73}{100} = 5.73$$. (b) Look at the hundredths digit of $$45.999$$, which is 9 (≥5), so round the tenths up: $$45.999 \\approx 46.0$$.",
      "hints": ["For (a), a fraction over 100 gives the hundredths: $$\\frac{73}{100}=0.73$$.", "For (b), rounding to 1 decimal place keeps one digit after the point; check the second decimal digit."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 5.73, (b) 46.0. Two blanks."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "The total length of two ropes, Rope P and Rope Q, is $$23.06$$ m.<br>The length of Rope Q is $$14.78$$ m.<br>What is the difference in length between Rope P and Rope Q?<br>Ans: [?] m",
      "answer0": "6.5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "First find Rope P: $$23.06 - 14.78 = 8.28$$ m. The difference between Rope P and Rope Q is $$14.78 - 8.28 = 6.5$$ m.",
      "hints": ["Find the length of Rope P first by subtracting Rope Q from the total.", "Then subtract the shorter rope from the longer rope to get the difference."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key final answer: 6.5 m (Rope P = 8.28 m, then 14.78 - 8.28 = 6.5 m). Unit is m."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Bala had $$10.5$$ kg of sugar.<br>He used $$3.5$$ kg of it and repacked the rest equally into 5 boxes.<br>What was the mass of sugar in each box?<br>Ans: [?] kg",
      "answer0": "1.4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "Sugar left after using some: $$10.5 - 3.5 = 7$$ kg. Repacked equally into 5 boxes: $$7 \\div 5 = 1.4$$ kg per box.",
      "hints": ["First find how much sugar is left after he uses 3.5 kg.", "Then divide the remaining mass by 5 boxes."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1.4 kg. Unit is kg."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Siti paid $10.40 for a chocolate cake and 4 curry puffs.<br>Sumei paid $13.60 for a chocolate cake and 8 curry puffs.<br>Shanti bought 5 chocolate cakes.<br>(a) What was the cost of 1 curry puff? $[?]<br>(b) How much did Shanti pay for the 5 chocolate cakes? $[?]",
      "answer0": "0.80",
      "answer1": "36.00",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "(a) Sumei bought 4 more curry puffs than Siti and paid $$13.60 - 10.40 = \\$3.20$$ more. So 4 curry puffs cost $3.20, and 1 curry puff $$= 3.20 \\div 4 = \\$0.80$$. (b) Cost of 1 chocolate cake $$= 10.40 - (4 \\times 0.80) = 10.40 - 3.20 = \\$7.20$$. For 5 cakes: $$7.20 \\times 5 = \\$36.00$$.",
      "hints": ["Compare Siti and Sumei: the difference in price equals the extra 4 curry puffs.", "Find the cost of one cake, then multiply by 5."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) $0.80, (b) $36.00. Two blanks (money, dollar sign shown in stem)."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Janice had $$6$$ $$\\ell$$ of orange juice.<br>She poured $$3.85$$ $$\\ell$$ of orange juice equally into 7 identical cups.<br>(a) How much orange juice was left? [?] $$\\ell$$<br>(b) How much orange juice was there in each cup? [?] $$\\ell$$",
      "answer0": "2.15",
      "answer1": "0.55",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "(a) Juice poured out is 3.85 ℓ, so juice left $$= 6 - 3.85 = 2.15$$ ℓ. (b) The 3.85 ℓ poured out is shared equally into 7 cups: $$3.85 \\div 7 = 0.55$$ ℓ in each cup.",
      "hints": ["For (a), subtract the poured-out amount from the starting 6 ℓ.", "For (b), divide the 3.85 ℓ that was poured by the 7 cups."],
      "source": "ACS 2025 P4 Weighted Assessment 3 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 2.15 L, (b) 0.55 L. Two blanks; unit is litres."
    }
  ]
}