{
 "paper": {
  "school": "Nan Hua",
  "year": 2022,
  "level": "P4",
  "label": "Weighted Assessment 3",
  "source_prefix": "Nan Hua 2022 P4 Weighted Assessment 3",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "Arrange the following decimals in increasing order.<br>6.501, 6.015, 6.105, 6.051",
   "answer0": "6.501, 6.105, 6.051, 6.015",
   "answer1": "6.015, 6.051, 6.501, 6.105",
   "answer2": "6.051, 6.015, 6.105, 6.501",
   "answer3": "6.015, 6.051, 6.105, 6.501",
   "correct_answer": 3,
   "skill_id": 124,
   "difficulty_id": 1,
   "explanation": "Compare digit by digit: 6.015 < 6.051 < 6.105 < 6.501. So increasing order is 6.015, 6.051, 6.105, 6.501.",
   "hints": [
    "Line up the decimal points and compare the tenths first, then hundredths.",
    "Increasing order means smallest to largest."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: option 4 (0-based index 3)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "Round 39.599 to 2 decimal places.",
   "answer0": "39.00",
   "answer1": "39.59",
   "answer2": "39.60",
   "answer3": "40.00",
   "correct_answer": 2,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "To round to 2 decimal places, look at the 3rd decimal digit: 39.599 -> the 9 in the thousandths rounds the hundredths 9 up, carrying: 39.599 rounds to 39.60.",
   "hints": [
    "Look at the digit in the thousandths place to decide rounding.",
    "9 in the hundredths plus a carry becomes 39.60."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: option 3 (0-based index 2)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "Express $$8\\frac{6}{50}$$ as a decimal.",
   "answer0": "8.06",
   "answer1": "8.12",
   "answer2": "8.50",
   "answer3": "8.60",
   "correct_answer": 1,
   "skill_id": 127,
   "difficulty_id": 2,
   "explanation": "Convert the fraction: $$\\frac{6}{50}=\\frac{12}{100}=0.12$$. So $$8\\frac{6}{50}=8+0.12=8.12$$.",
   "hints": [
    "Make the denominator 100 by multiplying numerator and denominator by 2.",
    "6/50 = 12/100 = 0.12."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: option 2 (0-based index 1)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Find the sum of 9.23 and 4.78.",
   "answer0": "4.45",
   "answer1": "5.55",
   "answer2": "13.91",
   "answer3": "14.01",
   "correct_answer": 3,
   "skill_id": 129,
   "difficulty_id": 1,
   "explanation": "Add the decimals: 9.23 + 4.78 = 14.01.",
   "hints": [
    "Line up the decimal points before adding.",
    "Remember to carry when a column exceeds 9."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: option 4 (0-based index 3)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "Express 1.08 as a fraction.",
   "answer0": "$$1\\frac{1}{8}$$",
   "answer1": "$$1\\frac{8}{10}$$",
   "answer2": "$$1\\frac{8}{100}$$",
   "answer3": "$$1\\frac{8}{1000}$$",
   "correct_answer": 2,
   "skill_id": 126,
   "difficulty_id": 1,
   "explanation": "The digits after the decimal point (08) are hundredths. So 1.08 = $$1\\frac{8}{100}$$.",
   "hints": [
    "Two decimal places mean hundredths.",
    "0.08 = 8 hundredths = 8/100."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: option 3 (0-based index 2)."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "Find the value of 25 ÷ 4.",
   "answer0": "6.10",
   "answer1": "6.14",
   "answer2": "6.25",
   "answer3": "6.40",
   "correct_answer": 2,
   "skill_id": 125,
   "difficulty_id": 1,
   "explanation": "25 ÷ 4 = 6 remainder 1; 1 ÷ 4 = 0.25, so 25 ÷ 4 = 6.25.",
   "hints": [
    "Divide 25 by 4 to get a whole number and a remainder.",
    "Express the remainder as a decimal: 1/4 = 0.25."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: option 3 (0-based index 2)."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "David paid $5.25 for a pencil case and $1.85 for a pen. How much did David pay altogether?",
   "answer0": "$7.10",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 1,
   "explanation": "Add the two amounts: $5.25 + $1.85 = $7.10.",
   "hints": [
    "Add the cost of the pencil case and the pen.",
    "Line up the dollar amounts before adding."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: $7.10. Units stated in $."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "Mrs Tan bought some fruits. She gave the cashier $50 and received $12.35 change. How much did she spend on the fruits?",
   "answer0": "$37.65",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 1,
   "explanation": "Amount spent = amount given - change = $50.00 - $12.35 = $37.65.",
   "hints": [
    "Subtract the change from the $50 she gave.",
    "$50.00 - $12.35 = $37.65."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: $37.65. Units stated in $."
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "Mr Ahmad used 1.45 kg of butter to bake one butter cake. Find the mass of butter used to bake seven butter cakes.",
   "answer0": "10.15",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 2,
   "explanation": "Multiply the mass for one cake by 7: 1.45 kg × 7 = 10.15 kg.",
   "hints": [
    "Multiply 1.45 by 7.",
    "1.45 × 7 = 10.15 kg."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 10.15kg. Units stated in kg; answer entered as plain number 10.15."
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "A piece of wood 1.96 m was sawn to make 4 legs for a table. What was the length of each leg?",
   "answer0": "0.49",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 2,
   "explanation": "Divide the total length by 4: 1.96 m ÷ 4 = 0.49 m.",
   "hints": [
    "Divide the total length of wood by the number of legs.",
    "1.96 ÷ 4 = 0.49 m."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 0.49m. Units stated in m; answer entered as plain number 0.49."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "Adventure Cove Waterpark<br>Entrance fees: Adult $32.40; Child (12-year-old and below) $21.60.<br>Weekend Family Package: 2 adults $60; First 2 children $18.60 each; Additional child $18 each.<br>Mr and Mrs Chan brought their children to the waterpark on Saturday. They paid $115.20 in total using the Weekend Family Package. How many children did they bring to the waterpark?",
   "answer0": "3",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Cost for 2 adults = $60, so children cost = $115.20 - $60 = $55.20. First 2 children = $18.60 × 2 = $37.20. Remaining = $55.20 - $37.20 = $18.00, which is 1 additional child at $18. Total children = 2 + 1 = 3.",
   "hints": [
    "Subtract the 2-adult fee of $60 from the total paid first.",
    "After paying for the first 2 children at $18.60 each, see how many $18 additional children fit the remainder."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": "q11.png",
   "image_page": 4,
   "image_bbox": [
    0.16,
    0.45,
    0.78,
    0.56
   ],
   "image_loc": "two boxed tables below the 'Adventure Cove Waterpark' title: left box = entrance fees (Adult/Child), right box = Weekend Family Package details",
   "notes": "Answer key working: $115.20-$60=$55.20; $18.60x2=$37.20; $55.20-$37.20=$18.00; Ans: 3 children."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Mrs Diana has 4 small bottles and 1 large bottle of mineral water. A large bottle holds 3 times as much water as the small bottle. She has 3.85 $$l$$ of mineral water altogether. How many litres of mineral water can a large bottle hold?",
   "answer0": "1.65",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Let a small bottle be 1 unit; the large bottle is 3 units. Total = 4 small + 1 large = 4 + 3 = 7 units = 3.85 l. So 1 unit = 3.85 ÷ 7 = 0.55 l. A large bottle = 0.55 × 3 = 1.65 l.",
   "hints": [
    "Treat the small bottle as 1 unit and the large bottle as 3 units.",
    "Total units = 4 + 3 = 7; divide 3.85 l by 7 to find one unit, then multiply by 3."
   ],
   "source": "Nan Hua 2022 P4 Weighted Assessment 3 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key working: 3.85 l ÷ 7 = 0.55 l; 0.55 l × 3 = 1.65 l. Answer entered as plain number 1.65 (units l)."
  }
 ]
}