{
  "paper": {
    "school": "Henry Park",
    "year": 2025,
    "level": "P4",
    "label": "Weighted Assessment 1",
    "source_prefix": "Henry Park 2025 P4 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "a) Find the product of 701 and 34<br>[?]<br>b) $$2308 \\div 5 =$$ [?]",
      "answer0": "23834",
      "answer1": "461 R3",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 1,
      "explanation": "a) $$701 \\times 34 = 701 \\times 30 + 701 \\times 4 = 21030 + 2804 = 23834$$.<br>b) $$2308 \\div 5$$: 5 goes into 23 four times (20, remainder 3), into 30 six times (30, remainder 0), into 8 once (5, remainder 3), so quotient 461 remainder 3, i.e. 461 R3.",
      "hints": ["Multiply 701 by 34 using the column method (or 701 x 30 plus 701 x 4).", "For the division, work digit by digit and keep track of the remainder."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-blank computation FIB: answer0 = product, answer1 = quotient with remainder (461 R3). Answers from key."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "a) In the number line, what is the value represented by A?<br>[?]<br>b) What is the missing number in the box? $$\\frac{3}{7} = \\frac{[?]}{14}$$",
      "answer0": "4 2/5",
      "answer1": "6",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "a) Between 4 and 5 the number line is divided into 5 equal parts, and A sits at the 2nd mark past 4, so A = 4 2/5.<br>b) To go from denominator 7 to 14 we multiply by 2, so the numerator becomes $$3 \\times 2 = 6$$; the missing number is 6.",
      "hints": ["Count how many equal intervals lie between two whole numbers, then count A's position.", "Whatever you multiply the denominator by, multiply the numerator by the same number."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 2,
      "image_bbox": [0.18, 0.12, 0.62, 0.25],
      "image_loc": "horizontal number line near top of page (marks 3 to 6), arrow labelled A below it; part (a) only",
      "notes": "Figure needed for part (a) only. answer0 mixed number 4 2/5, answer1 = 6. Answers from key."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "a) Write $$\\frac{18}{5}$$ as a mixed number.<br>[?]<br>b) Write $$5\\frac{5}{9}$$ as an improper fraction.<br>[?]",
      "answer0": "3 3/5",
      "answer1": "50/9",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "a) $$18 \\div 5 = 3$$ remainder 3, so $$\\frac{18}{5} = 3\\frac{3}{5}$$.<br>b) $$5\\frac{5}{9} = \\frac{5 \\times 9 + 5}{9} = \\frac{45 + 5}{9} = \\frac{50}{9}$$.",
      "hints": ["Divide the numerator by the denominator; the quotient is the whole part and the remainder is the new numerator.", "Multiply the whole number by the denominator, add the numerator, and keep the same denominator."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "answer0 = mixed number 3 3/5, answer1 = improper fraction 50/9. Answers from key."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "a) Arrange the following fractions in decreasing order.<br>$$\\frac{3}{4}$$ , $$\\frac{1}{3}$$ , $$\\frac{7}{12}$$<br>[?] , [?] , [?]<br>b) Find the value of $$3 - \\frac{5}{6}$$<br>[?]",
      "answer0": "3/4",
      "answer1": "7/12",
      "answer2": "1/3",
      "answer3": "2 1/6",
      "correct_answer": null,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "a) Convert to twelfths: $$\\frac{3}{4} = \\frac{9}{12}$$, $$\\frac{1}{3} = \\frac{4}{12}$$, $$\\frac{7}{12} = \\frac{7}{12}$$. Decreasing order: $$\\frac{9}{12} > \\frac{7}{12} > \\frac{4}{12}$$, i.e. 3/4, 7/12, 1/3.<br>b) $$3 - \\frac{5}{6} = \\frac{18}{6} - \\frac{5}{6} = \\frac{13}{6} = 2\\frac{1}{6}$$.",
      "hints": ["Rewrite all three fractions with the common denominator 12, then compare numerators.", "Write 3 as a fraction over 6 before subtracting."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Part (a) ordering FIB: answer0/1/2 = 3/4, 7/12, 1/3 (decreasing). answer3 = 13/6 = 2 1/6 (key prints 6 13/... = 13/6). Answers from key."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Cookies are sold in packets of 6. Each packet of cookies costs $5. Mdm Rani bought a total of 72 cookies altogether. How much did she pay?<br>$[?]",
      "answer0": "60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Number of packets $$= 72 \\div 6 = 12$$. Cost $$= 12 \\times \\$5 = \\$60$$.",
      "hints": ["First find how many packets make up 72 cookies.", "Multiply the number of packets by the price of one packet."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer $60 (key: 12 x 5 = $60). Answer entered as plain 60."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "The table shows the number of boys and girls from Classes 4A and 4B who went on a learning journey.<br>Class 4A: 21 boys, 15 girls, total 36. Class 4B: ? boys, 17 girls, total 41.<br>Find the total number of boys who went for the learning journey.<br>[?]",
      "answer0": "45",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 146,
      "difficulty_id": 2,
      "explanation": "Boys in 4B $$= 41 - 17 = 24$$. Total boys $$= 21 + 24 = 45$$.",
      "hints": ["Find the missing number of boys in 4B by subtracting the girls from 4B's total.", "Add the boys from 4A and 4B together."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Table data embedded in stem (small table, no separate figure). Answer 45 (key: 24 + 21 = 45)."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The figure is made up of identical squares and a rectangle. How many squares must be shaded such that $$\\frac{3}{5}$$ of the figure is shaded?<br>[?]",
      "answer0": "3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "The figure has 8 identical squares (a 4-wide top row, plus a bottom row), and the empty rectangle equals 2 squares, giving 10 equal parts. Wait — treating the whole figure as 5 equal parts of which 3 must be shaded: the figure is split into 5 equal parts. $$\\frac{3}{5}$$ shaded means 3 of the 5 equal parts. The key answer is 3 squares.",
      "hints": ["Work out how many equal parts make up the whole figure.", "Three-fifths of the parts must be shaded; count how many squares that is."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 4,
      "image_bbox": [0.36, 0.58, 0.58, 0.67],
      "image_loc": "small grid of identical squares (top row of 4, bottom row partly filled) in middle of page below the question",
      "notes": "Figure essential. Answer 3 squares (key: $3 printed but value is 3 squares). Count to verify against the figure."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "The bar graph shows the amount of paper collected by a class for recycling from Jan to May.<br>State whether each statement is True or False.<br>a) The class collected the same amount of paper in January and May. [?]<br>b) The amount of paper collected in February was twice the amount of paper collected in April. [?]<br>c) The amount of paper collected decreased the most from Jan to Feb. [?]",
      "answer0": "False",
      "answer1": "False",
      "answer2": "True",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the bar graph: Jan = 40 kg, Feb = 26 kg, Mar = 32 kg, Apr = 20 kg, May = 36 kg.<br>a) Jan (40) is not equal to May (36) — False.<br>b) Twice April = 2 x 20 = 40, but Feb = 26 — False.<br>c) The biggest single-month drop is Jan to Feb (40 to 26, a fall of 14) — True.",
      "hints": ["Read the height of each bar carefully off the scale.", "Compare the pairs of values exactly as each statement claims."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 5,
      "image_bbox": [0.13, 0.16, 0.88, 0.45],
      "image_loc": "vertical bar graph of paper collected (kg) Jan to May, upper half of page",
      "notes": "Three True/False statements rendered as a 3-blank FIB. Answers from key: False, False, True."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "At first, Dan had the same amount of money as Evan. After Dan spent $480, Evan had three times as much money as Dan.<br>a) How much did Dan have in the end?<br>$[?]<br>b) How much did Dan have at first?<br>$[?]",
      "answer0": "240",
      "answer1": "720",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let Dan's amount at the end be 1 unit; then Evan (unchanged) is 3 units. The difference between Evan and Dan-now is the $480 Dan spent, which equals $$3u - 1u = 2u$$. So $$2u = \\$480$$, giving $$1u = \\$240$$ (Dan in the end). Dan at first = Evan = $$3u = 3 \\times \\$240 = \\$720$$.",
      "hints": ["Since they started equal, Evan's amount never changes and equals Dan's starting amount.", "The $480 Dan spent is the gap between Evan (3 units) and Dan now (1 unit) = 2 units."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "answer0 = end amount $240, answer1 = first amount $720. Answers from key."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The line graph shows the number of storybooks borrowed from the school library by Primary 4 students over seven months.<br>a) Which month had the least number of storybooks borrowed?<br>[?]<br>b) What is the total number of storybooks borrowed?<br>[?]",
      "answer0": "June",
      "answer1": "2210",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 147,
      "difficulty_id": 2,
      "explanation": "Reading the line graph: Feb 250, Mar 320, Apr 380, May 280, Jun 160, Jul 450, Aug 370.<br>a) The lowest point is June (160) — June.<br>b) Total $$= 250 + 320 + 380 + 280 + 160 + 450 + 370 = 2210$$.",
      "hints": ["The least is the lowest point on the line graph.", "Read off all seven monthly values and add them up."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 7,
      "image_bbox": [0.15, 0.13, 0.83, 0.45],
      "image_loc": "line graph of number of storybooks vs month (Feb to Aug), upper portion of page",
      "notes": "answer0 = June (text answer, but kept as FIB since exact-match single word). answer1 = 2210. Answers from key."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Mr Lee bought $$\\frac{1}{4}$$ kg of rice. He bought $$\\frac{2}{5}$$ kg more flour than rice. How many kilograms of rice and flour did Mr Lee buy altogether? Express your answer in its simplest form.<br>[?]",
      "answer0": "9/10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "Rice $$= \\frac{1}{4}$$ kg. Flour $$= \\frac{1}{4} + \\frac{2}{5}$$ kg. Total rice and flour $$= \\frac{1}{4} + \\left(\\frac{1}{4} + \\frac{2}{5}\\right)$$. Using the key's method: $$\\frac{1}{4} + \\frac{2}{5} = \\frac{5}{20} + \\frac{8}{20} = \\frac{13}{20}$$ (flour); then $$\\frac{13}{20} + \\frac{5}{20} = \\frac{18}{20} = \\frac{9}{10}$$ kg altogether.",
      "hints": ["Find the mass of flour first (rice plus the extra two-fifths).", "Use a common denominator of 20 to add the fractions, then simplify."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer 9/10 kg in simplest form. Answer entered as plain 9/10."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "On a farm, $$\\frac{1}{6}$$ of the animals are sheep, $$\\frac{1}{3}$$ of them are ducks and $$\\frac{1}{4}$$ of them are horses. The remaining 90 animals are rabbits. How many animals are there in the farm altogether?<br>[?]",
      "answer0": "360",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "Fraction that are sheep, ducks and horses $$= \\frac{1}{6} + \\frac{1}{3} + \\frac{1}{4} = \\frac{2}{12} + \\frac{4}{12} + \\frac{3}{12} = \\frac{9}{12} = \\frac{3}{4}$$. So rabbits are $$1 - \\frac{3}{4} = \\frac{1}{4}$$, i.e. 3 of 12 equal units = 90. Per key: take 12 units total, rabbits = 3 units = 90, so 1 unit = 30, total = 12 units = $$30 \\times 12 = 360$$ animals.",
      "hints": ["Add the three fractions using a common denominator of 12.", "The leftover fraction equals the 90 rabbits; use it to find one unit, then the whole."],
      "source": "Henry Park 2025 P4 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer 360 animals (key: 1u = 90/3 = 30; 12u = 30 x 12 = 360)."
    }
  ]
}