{
  "paper": {
    "school": "St Hilda",
    "year": 2025,
    "level": "P4",
    "label": "Weighted Assessment 2",
    "source_prefix": "St Hilda 2025 P4 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Express $$\\frac{26}{7}$$ as a mixed number.",
      "answer0": "$$2\\frac{6}{7}$$",
      "answer1": "$$3\\frac{5}{7}$$",
      "answer2": "$$5\\frac{3}{7}$$",
      "answer3": "$$7\\frac{3}{5}$$",
      "correct_answer": 1,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "Divide 26 by 7: $$26 \\div 7 = 3$$ remainder $$5$$. So $$\\frac{26}{7} = 3\\frac{5}{7}$$.",
      "hints": ["How many whole 7s are in 26?", "The remainder becomes the numerator over 7."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option (2) = 3 5/7."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is $$\\frac{2}{9}$$ of 18?",
      "answer0": "1",
      "answer1": "81",
      "answer2": "162",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 120,
      "difficulty_id": 1,
      "explanation": "$$\\frac{2}{9}$$ of 18 = $$18 \\div 9 \\times 2 = 2 \\times 2 = 4$$.",
      "hints": ["First find $$\\frac{1}{9}$$ of 18.", "Then multiply by 2."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option (4) = 4."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Which of the following is the name for the marked angle?",
      "answer0": "$$\\angle CAB$$",
      "answer1": "$$\\angle CAD$$",
      "answer2": "$$\\angle BAD$$",
      "answer3": "$$\\angle DXC$$",
      "correct_answer": 1,
      "skill_id": 139,
      "difficulty_id": 2,
      "explanation": "The marked angle x has its vertex at A and is formed by rays AC and AD. So it is $$\\angle CAD$$ (equivalently $$\\angle DAC$$).",
      "hints": ["The vertex letter goes in the middle of the name.", "Identify the two rays that form the marked angle."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 2,
      "image_bbox": [0.22, 0.35, 0.72, 0.52],
      "image_loc": "middle of page: ray D down to A on line BC, angle x marked at A",
      "notes": "Key=option (2) = angle CAD."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "What is the size of $$\\angle a$$ in the figure?",
      "answer0": "41°",
      "answer1": "59°",
      "answer2": "139°",
      "answer3": "141°",
      "correct_answer": 0,
      "skill_id": 140,
      "difficulty_id": 2,
      "explanation": "Read the protractor scale aligned with the baseline from 0°. The arm passes through the 41° mark on the inner scale, so $$\\angle a = 41°$$.",
      "hints": ["Start counting from the 0° on the side where the arm meets the baseline.", "Use the scale that reads 0 at the baseline arm."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q4.png",
      "image_page": 3,
      "image_bbox": [0.2, 0.16, 0.8, 0.4],
      "image_loc": "top half of page: protractor with arm marking angle a near baseline",
      "notes": "Key=option (1) = 41 degrees."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "The line graph shows the amount of money earned in a shop over 6 months.<br>During which 1-month period was the increase in the amount of money earned the greatest?",
      "answer0": "Jun to Jul",
      "answer1": "Jul to Aug",
      "answer2": "Aug to Sep",
      "answer3": "Sep to Oct",
      "correct_answer": 2,
      "skill_id": 147,
      "difficulty_id": 2,
      "explanation": "Compare the rises: Jun-Jul about $60, Jul-Aug about $180, Aug-Sep from $320 to $650 = $330 (the largest rise), Sep-Oct is a fall. Greatest increase is Aug to Sep.",
      "hints": ["Look for the steepest upward part of the line.", "An increase means the line goes up, not down."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 4,
      "image_bbox": [0.13, 0.16, 0.9, 0.45],
      "image_loc": "line graph 'Earnings over 6 Months', Jun-Nov on x-axis",
      "notes": "Key=option (3) = Aug to Sep."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Find the difference between $$\\frac{3}{5}$$ and $$\\frac{2}{3}$$.",
      "answer0": "$$\\frac{1}{15}$$",
      "answer1": "$$\\frac{1}{2}$$",
      "answer2": "$$\\frac{5}{8}$$",
      "answer3": "$$\\frac{19}{15}$$",
      "correct_answer": 0,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "$$\\frac{2}{3} - \\frac{3}{5} = \\frac{10}{15} - \\frac{9}{15} = \\frac{1}{15}$$.",
      "hints": ["Make the denominators the same (use 15).", "Subtract the smaller fraction from the larger."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option (1) = 1/15."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Mdm Ling bought $$1\\ \\ell$$ of orange juice. She drank $$\\frac{1}{6}\\ \\ell$$ of the juice and bought another $$\\frac{1}{3}\\ \\ell$$ of juice. How much juice was left in the end?",
      "answer0": "$$\\frac{1}{2}\\ \\ell$$",
      "answer1": "$$\\frac{5}{6}\\ \\ell$$",
      "answer2": "$$1\\frac{1}{6}\\ \\ell$$",
      "answer3": "$$1\\frac{1}{2}\\ \\ell$$",
      "correct_answer": 2,
      "skill_id": 122,
      "difficulty_id": 2,
      "explanation": "Left = $$1 - \\frac{1}{6} + \\frac{1}{3} = \\frac{6}{6} - \\frac{1}{6} + \\frac{2}{6} = \\frac{7}{6} = 1\\frac{1}{6}\\ \\ell$$.",
      "hints": ["Subtract what she drank, then add what she bought.", "Use sixths as the common denominator."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option (3) = 1 1/6 litre."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Measure $$\\angle x$$ with a protractor.<br>$$\\angle x = [?]°$$",
      "answer0": "42",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 140,
      "difficulty_id": 2,
      "explanation": "Measuring $$\\angle x$$ at the marked vertex with a protractor gives $$\\angle x = 42°$$.",
      "hints": ["Line the protractor centre on the vertex of the angle.", "Read along the scale that starts at 0 on one arm."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 6,
      "image_bbox": [0.28, 0.25, 0.78, 0.45],
      "image_loc": "triangle figure with angle x marked at the left vertex",
      "notes": "Key: angle x = 42 degrees. Answer = 42."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "What fraction of the set of shapes is shaded? Give your answer as a fraction in the simplest form.",
      "answer0": "1/3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "There are 18 triangles in total and 6 are shaded. $$\\frac{6}{18} = \\frac{1}{3}$$.",
      "hints": ["Count the shaded triangles and the total triangles.", "Simplify the fraction by dividing top and bottom by 6."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 6,
      "image_bbox": [0.24, 0.56, 0.62, 0.72],
      "image_loc": "box of 18 triangles (3 rows x 6), 6 shaded on the left",
      "notes": "Key = 1/3. Count: 6 shaded of 18 total."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Find the sum of $$\\frac{1}{4}$$ and $$\\frac{1}{6}$$.<br>$$[?]$$",
      "answer0": "5/12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "$$\\frac{1}{4} + \\frac{1}{6} = \\frac{3}{12} + \\frac{2}{12} = \\frac{5}{12}$$.",
      "hints": ["The common denominator of 4 and 6 is 12.", "Add the numerators after converting."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 5/12."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "The table shows the number of Primary 4 students who wear spectacles in 3 classes in a primary school. Complete the table by filling in the blank for class 4B.<br>$$[?]$$",
      "answer0": "22",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 146,
      "difficulty_id": 1,
      "explanation": "For 4B, total = 41 and do-not-wear = 19, so wear spectacles = $$41 - 19 = 22$$.",
      "hints": ["The total for 4B is 41.", "Subtract the 'do not wear' number from the total."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 7,
      "image_bbox": [0.22, 0.48, 0.86, 0.62],
      "image_loc": "table with columns 4A/4B/4C, rows Wear/Do not wear/Total; 4B Wear cell blank",
      "notes": "Key = 22 (41 - 19)."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Study the table showing the number of Primary 4 students who wear spectacles in 3 classes. What is the total number of students who do not wear spectacles?<br>$$[?]$$",
      "answer0": "55",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 148,
      "difficulty_id": 2,
      "explanation": "Add the 'do not wear spectacles' row: $$23 + 19 + 13 = 55$$.",
      "hints": ["Add the do-not-wear numbers for 4A, 4B and 4C.", "23 + 19 + 13."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 7,
      "image_bbox": [0.22, 0.48, 0.86, 0.62],
      "image_loc": "same spectacles table as Q11",
      "notes": "Key working: 23+13=36, 36+19=55. Total = 55."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Express the number represented by the letter A on the number line as an improper fraction.<br>$$[?]$$",
      "answer0": "22/5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "The interval from 4 to 5 is divided into 5 equal parts. A is at the 2nd mark, so A = $$4\\frac{2}{5}$$ = $$\\frac{22}{5}$$.",
      "hints": ["Count how many equal parts there are between 4 and 5.", "Convert the mixed number to an improper fraction."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 8,
      "image_bbox": [0.2, 0.16, 0.86, 0.24],
      "image_loc": "number line from 4 to 6 with arrow A above a mark between 4 and 5",
      "notes": "Key = 22/5 (A = 4 2/5)."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Hanz ran a distance of $$\\frac{5}{7}$$ km. The distance Sam ran was $$\\frac{1}{2}$$ km shorter than Hanz. What was the total distance that Hanz and Sam ran?<br>$$[?]$$ km",
      "answer0": "13/14",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 2,
      "explanation": "Sam = $$\\frac{5}{7} - \\frac{1}{2} = \\frac{10}{14} - \\frac{7}{14} = \\frac{3}{14}$$ km. Total = $$\\frac{5}{7} + \\frac{3}{14} = \\frac{10}{14} + \\frac{3}{14} = \\frac{13}{14}$$ km.",
      "hints": ["First find Sam's distance by subtracting 1/2 from 5/7.", "Then add Hanz's and Sam's distances using fourteenths."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 13/14 km."
    },
    {
      "n": 15,
      "type_id": 0,
      "question": "$$\\angle EFG = 134°$$. Draw the angle with the given line EF. Mark and label the angle.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 140,
      "difficulty_id": 2,
      "explanation": "From line EF, place the protractor centre at F and mark 134° from FE. Draw ray FG and label the 134° angle EFG. (Construction/drawing task.)",
      "hints": [],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q15",
      "image_needed": true,
      "image_options": false,
      "image_file": "q15.png",
      "image_page": 9,
      "image_bbox": [0.38, 0.36, 0.78, 0.42],
      "image_loc": "horizontal line segment with F on left and E on right",
      "notes": "Interactive draw-the-angle task; no value answer. type_id 0 (skipped on insert). Key shows ray FG drawn at 134 degrees above FE."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "A tank is $$\\frac{3}{8}$$ filled with water. $$120\\ \\ell$$ more of water are needed to fill the tank completely. What is the capacity of the tank?<br>$$[?]$$ $$\\ell$$",
      "answer0": "192",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "The empty part is $$1 - \\frac{3}{8} = \\frac{5}{8}$$, which equals 120 L. So $$\\frac{1}{8} = 120 \\div 5 = 24$$ L. Capacity = $$24 \\times 8 = 192$$ L.",
      "hints": ["What fraction of the tank is still empty?", "Find the value of 1/8 first, then multiply by 8."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 192 L."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Mrs Lim used $$\\frac{3}{4}$$ kg of flour to bake some cupcakes. She used $$\\frac{1}{3}$$ kg of flour more than Mdm Siti. How much flour did they use altogether? Express your answer as a mixed number in its simplest form.<br>$$[?]$$ kg",
      "answer0": "1 1/6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "Mdm Siti used $$\\frac{3}{4} - \\frac{1}{3} = \\frac{9}{12} - \\frac{4}{12} = \\frac{5}{12}$$ kg. Altogether = $$\\frac{3}{4} + \\frac{5}{12} = \\frac{9}{12} + \\frac{5}{12} = \\frac{14}{12} = 1\\frac{1}{6}$$ kg.",
      "hints": ["Mdm Siti used 1/3 kg less than Mrs Lim.", "Add the two amounts, then write as a mixed number in simplest form."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 1 1/6 kg. Answer entered as mixed number '1 1/6'."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "There were some adults and children at a carnival. $$\\frac{5}{6}$$ of the people were children and the rest were adults. There were 240 more children than adults. How many people were there altogether?<br>$$[?]$$",
      "answer0": "360",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 120,
      "difficulty_id": 3,
      "explanation": "Children = $$\\frac{5}{6}$$, adults = $$\\frac{1}{6}$$. Difference = $$\\frac{5}{6} - \\frac{1}{6} = \\frac{4}{6}$$ of the people = 240, so 4 units = 240, 1 unit = 60. Total = 6 units = $$60 \\times 6 = 360$$.",
      "hints": ["The fraction of adults is 1 minus 5/6.", "Find the difference in units, set it equal to 240, then find 1 unit."],
      "source": "St Hilda 2025 P4 Weighted Assessment 2 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key working: difference 4/6 = 240, 1u=60, total 6u=360."
    }
  ]
}