{
 "paper": {
  "school": "Catholic High",
  "year": 2024,
  "level": "P4",
  "label": "Weighted Assessment 3",
  "source_prefix": "Catholic High 2024 P4 Weighted Assessment 3",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "What is the value of the digit 7 in 38.479?",
   "answer0": "7",
   "answer1": "0.7",
   "answer2": "0.07",
   "answer3": "0.007",
   "correct_answer": 2,
   "skill_id": 123,
   "difficulty_id": 1,
   "explanation": "In 38.479, the digit 7 is in the hundredths place. Its value is 7 hundredths = 0.07.",
   "hints": [
    "Identify which place the digit 7 sits in after the decimal point.",
    "Tenths is the 1st place after the point, hundredths is the 2nd. 7 is in the hundredths place, so its value is 0.07."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (1-based) = 0.07 => 0-based index 2."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "Arrange the following decimals in decreasing order.<br>6.49 , 6.049 , 6.409 , 6.904",
   "answer0": "6.904 , 6.49 , 6.409 , 6.049",
   "answer1": "6.904 , 6.409 , 6.49 , 6.049",
   "answer2": "6.049 , 6.409 , 6.49 , 6.904",
   "answer3": "6.049 , 6.49 , 6.409 , 6.904",
   "correct_answer": 0,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare place by place: 6.904 > 6.490 > 6.409 > 6.049. Decreasing order: 6.904, 6.49, 6.409, 6.049.",
   "hints": [
    "Write each decimal to 3 places: 6.490, 6.049, 6.409, 6.904.",
    "Decreasing means largest first. Compare tenths, then hundredths, then thousandths."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 (1-based) => 0-based index 0."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "How many one-fifths are there in $$1\\frac{3}{5}$$?",
   "answer0": "5",
   "answer1": "8",
   "answer2": "3",
   "answer3": "9",
   "correct_answer": 1,
   "skill_id": 119,
   "difficulty_id": 2,
   "explanation": "Convert $$1\\frac{3}{5}$$ to an improper fraction: $$1\\frac{3}{5}=\\frac{8}{5}$$. So there are 8 one-fifths.",
   "hints": [
    "Change the mixed number into fifths.",
    "1 whole = 5 fifths, plus 3 more fifths = 8 fifths."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (1-based) = 8 => 0-based index 1."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Cindy bought $$\\frac{5}{8}$$ kg of sugar. She bought $$\\frac{1}{4}$$ kg more flour than sugar. How many kilograms of flour did Cindy buy?",
   "answer0": "$$\\frac{1}{2}$$ kg",
   "answer1": "$$\\frac{3}{4}$$ kg",
   "answer2": "$$\\frac{3}{8}$$ kg",
   "answer3": "$$\\frac{7}{8}$$ kg",
   "correct_answer": 3,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Flour = sugar + $$\\frac{1}{4}$$ = $$\\frac{5}{8}+\\frac{1}{4}=\\frac{5}{8}+\\frac{2}{8}=\\frac{7}{8}$$ kg.",
   "hints": [
    "More flour means add the extra amount to the sugar.",
    "Make the denominators the same: $$\\frac{1}{4}=\\frac{2}{8}$$, then add to $$\\frac{5}{8}$$."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (1-based) = 7/8 kg => 0-based index 3."
  },
  {
   "n": 5,
   "type_id": 2,
   "question": "10 + 8 + 0.7 + [?] + 0.009 = 18.749<br>What is the missing number?",
   "answer0": "0.04",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "Add the known parts: 10 + 8 + 0.7 + 0.009 = 18.709. Missing number = 18.749 - 18.709 = 0.04.",
   "hints": [
    "Add up all the known place-value parts first.",
    "Subtract that sum from 18.749 to find the missing hundredths part."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 18.749 - 10 - 8 - 0.7 - 0.009 = 0.04 (the missing hundredths place is 4)."
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "Round 13.592 to the nearest whole number.",
   "answer0": "14",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "Look at the tenths digit (5). Since 5 $$\\geq$$ 5, round up: 13.592 rounds to 14.",
   "hints": [
    "To round to the nearest whole number, look at the first digit after the decimal point.",
    "The tenths digit is 5, so round the whole number up from 13 to 14."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 14."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "Find the missing mixed number in the number line.",
   "answer0": "3 5/6",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 2,
   "explanation": "The line from 3 to 4 is divided into 6 equal intervals, so each interval is $$\\frac{1}{6}$$. The boxed mark is at the 5th interval: $$3+\\frac{5}{6}=3\\frac{5}{6}$$.",
   "hints": [
    "Count how many equal parts the gap between 3 and 4 is split into.",
    "There are 6 parts, so each step is one-sixth. The marked point is 5 steps from 3."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 4,
   "image_bbox": [
    0.18,
    0.1,
    0.7,
    0.19
   ],
   "image_loc": "top of page 4, number line from 3 to 4 with a '?' box near the right end",
   "notes": "Key: 3 5/6. Number line is 3 to 4 in 6 equal parts; ? at 5th tick. FIB answer kept plain as a mixed number '3 5/6'."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "What is the sum of 21.73 and 4.98?",
   "answer0": "26.71",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 129,
   "difficulty_id": 1,
   "explanation": "21.73 + 4.98 = 26.71. Line up the decimal points and add: 73 + 98 hundredths = 171 hundredths (carry), giving 26.71.",
   "hints": [
    "Line up the decimal points before adding.",
    "Add the hundredths, then tenths, then the whole numbers, carrying where needed."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 26.71."
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "Arrange the following fractions in ascending order.<br>$$\\frac{4}{7}$$ , $$\\frac{17}{12}$$ , $$3\\frac{1}{2}$$ , $$\\frac{1}{2}$$<br>[?] , [?] , [?] , [?]",
   "answer0": "1/2",
   "answer1": "4/7",
   "answer2": "17/12",
   "answer3": "3 1/2",
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 3,
   "explanation": "As decimals: $$\\frac{4}{7}\\approx0.57$$, $$\\frac{17}{12}\\approx1.42$$, $$3\\frac{1}{2}=3.5$$, $$\\frac{1}{2}=0.5$$. Ascending: $$\\frac{1}{2}, \\frac{4}{7}, \\frac{17}{12}, 3\\frac{1}{2}$$.",
   "hints": [
    "Convert each fraction to a decimal (or compare against 1 whole) to size them up.",
    "Smallest first: 1/2 is below 4/7, then 17/12 is just over 1, and 3 1/2 is largest."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key (ascending): 1/2, 4/7, 17/12, 3 1/2. Four ordered blanks; FIB answers kept plain."
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "Ahmad had some stickers. He lost $$\\frac{2}{5}$$ of the stickers and had 27 stickers left. How many stickers did Ahmad have at first?",
   "answer0": "45",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "Stickers left = $$1-\\frac{2}{5}=\\frac{3}{5}$$ of the total = 27. So $$\\frac{1}{5}=27\\div3=9$$, and the total $$=9\\times5=45$$ stickers.",
   "hints": [
    "The 27 stickers left are the fraction he did NOT lose.",
    "He lost 2/5, so 3/5 = 27. Find 1/5 first, then the whole."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key working: 1 - 2/5 = 3/5; 27 / 3 = 9; 9 x 5 = 45."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "Mrs Tan bought some juice. She drank $$\\frac{5}{12}$$ $$l$$ of juice and gave away $$\\frac{1}{3}$$ $$l$$ of it. She was left with $$\\frac{7}{12}$$ $$l$$ of juice.<br>(a) How many more litres of juice did she drink than she give away?<br>(b) How many litres of juice did Mrs Tan buy? Give your answer as a mixed number in simplest form.",
   "answer0": "1/12",
   "answer1": "1 1/3",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "(a) Drank - gave away = $$\\frac{5}{12}-\\frac{1}{3}=\\frac{5}{12}-\\frac{4}{12}=\\frac{1}{12}$$ $$l$$. (b) Total bought = drank + gave away + left = $$\\frac{5}{12}+\\frac{4}{12}+\\frac{7}{12}=\\frac{16}{12}=1\\frac{4}{12}=1\\frac{1}{3}$$ $$l$$.",
   "hints": [
    "For (a), convert 1/3 to twelfths so both fractions share a denominator, then subtract.",
    "For (b), the amount bought = drank + gave away + left over. Add all three, then simplify the improper fraction to a mixed number."
   ],
   "source": "Catholic High 2024 P4 Weighted Assessment 3 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two ordered blanks: (a) 1/12 l, (b) 1 1/3 l. Key shows b) 5/12 + 4/12 = 9/12, 9/12 + 7/12 = 16/12 = 1 1/3 l. FIB answers kept plain."
  }
 ]
}