{
  "paper": {
    "school": "Methodist Girls",
    "year": 2022,
    "level": "P4",
    "label": "Semestral Assessment 2",
    "source_prefix": "Methodist Girls 2022 P4 Semestral Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "42 thousands and 8 tens is the same as [?].",
      "answer0": "428",
      "answer1": "4280",
      "answer2": "42 008",
      "answer3": "42 080",
      "correct_answer": 3,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "42 thousands = 42 000 and 8 tens = 80. 42 000 + 80 = 42 080.",
      "hints": ["8 tens means 8 × 10 = 80.", "Add the value of the thousands to the value of the tens."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "The figure shown is made up of identical triangles. What fraction of the figure is shaded?",
      "answer0": "4/5",
      "answer1": "4/8",
      "answer2": "4/9",
      "answer3": "5/9",
      "correct_answer": 2,
      "skill_id": 120,
      "difficulty_id": 1,
      "explanation": "The large triangle is divided into 9 identical small triangles and 4 of them are shaded, so the shaded fraction is 4/9.",
      "hints": ["Count the total number of small triangles.", "Count how many are shaded, then write shaded over total."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 3,
      "image_bbox": [0.40, 0.36, 0.62, 0.50],
      "image_loc": "centre of page, large triangle made of 9 small triangles below the stem",
      "notes": "Key: option 3. 9 small triangles, 4 shaded."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "In the number 85.76, the digit [?] is in the hundredths place.",
      "answer0": "5",
      "answer1": "6",
      "answer2": "7",
      "answer3": "8",
      "correct_answer": 1,
      "skill_id": 123,
      "difficulty_id": 1,
      "explanation": "In 85.76 the first decimal place (7) is tenths and the second decimal place (6) is hundredths, so the digit in the hundredths place is 6.",
      "hints": ["The first digit after the decimal point is tenths.", "The second digit after the decimal point is hundredths."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "ABCD is a square. Find ∠x.",
      "answer0": "80°",
      "answer1": "60°",
      "answer2": "50°",
      "answer3": "40°",
      "correct_answer": 2,
      "skill_id": 140,
      "difficulty_id": 2,
      "explanation": "∠BCD of the square is 90°. The 30° angle and the 10° angle outside the square sit beside ∠x at C, so ∠x = 90° − 30° − 10° = 50°.",
      "hints": ["Each angle of a square is 90°.", "Subtract the marked 30° and 10° from the 90° corner angle."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q4.png",
      "image_page": 4,
      "image_bbox": [0.34, 0.16, 0.66, 0.34],
      "image_loc": "top-centre of page, square ABCD with marked 30°, x and 10° at corner C",
      "notes": "Key: option 3 (50°)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "How many one-quarters are there in 3 wholes?",
      "answer0": "3/4",
      "answer1": "1 1/3",
      "answer2": "12",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "Each whole contains 4 one-quarters, so 3 wholes contain 3 × 4 = 12 one-quarters.",
      "hints": ["1 whole = four quarters.", "Multiply 4 by the number of wholes."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (12)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Which of the following is a factor of both 12 and 80?",
      "answer0": "10",
      "answer1": "9",
      "answer2": "6",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 113,
      "difficulty_id": 1,
      "explanation": "Factors of 12 are 1, 2, 3, 4, 6, 12; factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. The common factor among the options is 4.",
      "hints": ["List the factors of 12.", "Check which option also divides 80 exactly."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (4)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "The table shows the time taken by 4 boys to run 400 m. Who was the fastest runner?",
      "answer0": "Alan",
      "answer1": "Bala",
      "answer2": "Carl",
      "answer3": "Dong Le",
      "correct_answer": 3,
      "skill_id": 147,
      "difficulty_id": 2,
      "explanation": "Convert all times to seconds: Alan 1 min 10 s = 70 s, Bala 1 min 8 s = 68 s, Carl 70 s, Dong Le 66 s. The fastest runner has the shortest time, which is Dong Le with 66 s.",
      "hints": ["1 minute = 60 seconds.", "The fastest runner takes the least time."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 5,
      "image_bbox": [0.26, 0.18, 0.74, 0.31],
      "image_loc": "upper portion of page, table of names and times taken",
      "notes": "Key: option 4 (Dong Le)."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Peter bought one bottle of oil. He used 2/3 of the bottle of oil to fry some chicken wings and 1/12 of it to bake muffins. How much oil was left in the bottle?",
      "answer0": "1/3",
      "answer1": "1/4",
      "answer2": "3/4",
      "answer3": "7/12",
      "correct_answer": 1,
      "skill_id": 122,
      "difficulty_id": 2,
      "explanation": "Oil used = 2/3 + 1/12 = 8/12 + 1/12 = 9/12. Oil left = 1 − 9/12 = 12/12 − 9/12 = 3/12 = 1/4.",
      "hints": ["Use a common denominator of 12.", "Subtract the total used from 1 whole."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (1/4)."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The line graph shows the number of visitors who visited the Singapore Bird Park on Saturday from 11 a.m. to 5 p.m. In which one-hour period did the number of visitors decrease the most?",
      "answer0": "12 p.m. to 1 p.m.",
      "answer1": "1 p.m. to 2 p.m.",
      "answer2": "3 p.m. to 4 p.m.",
      "answer3": "4 p.m. to 5 p.m.",
      "correct_answer": 0,
      "skill_id": 147,
      "difficulty_id": 2,
      "explanation": "The drops are: 12 p.m. to 1 p.m. about 1200 to 400 = 800 (the largest fall); other periods fall by less. So the greatest decrease is 12 p.m. to 1 p.m.",
      "hints": ["Find each period where the line goes down.", "Compare the size of each drop and pick the steepest fall."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 6,
      "image_bbox": [0.16, 0.20, 0.85, 0.40],
      "image_loc": "upper-middle of page, line graph of visitors against time",
      "notes": "Key: option 1 (12 p.m. to 1 p.m.)."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Express 7 3/20 as a decimal.",
      "answer0": "7.3",
      "answer1": "7.32",
      "answer2": "7.15",
      "answer3": "7.015",
      "correct_answer": 2,
      "skill_id": 127,
      "difficulty_id": 1,
      "explanation": "3/20 = 15/100 = 0.15, so 7 3/20 = 7 + 0.15 = 7.15.",
      "hints": ["Make the denominator 100 by multiplying by 5.", "3/20 = 15/100 = 0.15."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (7.15)."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Joshua went for a movie which started at 20 30. The movie ended at 23 15. How long was the movie?",
      "answer0": "2 h 15 min",
      "answer1": "2 h 45 min",
      "answer2": "3 h 15 min",
      "answer3": "3 h 45 min",
      "correct_answer": 1,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "From 20 30 to 22 30 is 2 h; from 22 30 to 23 15 is a further 45 min. Total = 2 h 45 min.",
      "hints": ["Count full hours first, then the extra minutes.", "23 15 − 20 30 = 2 h 45 min."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (2 h 45 min)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "The figure is made up of 2 identical rectangles. What is the area of the figure?",
      "answer0": "96 cm²",
      "answer1": "64 cm²",
      "answer2": "48 cm²",
      "answer3": "32 cm²",
      "correct_answer": 0,
      "skill_id": 138,
      "difficulty_id": 2,
      "explanation": "Each rectangle measures 12 cm by 4 cm (8 cm + 4 cm long, 4 cm wide), so one rectangle is 12 × 4 = 48 cm². Two identical rectangles give 48 × 2 = 96 cm².",
      "hints": ["Find the area of one rectangle first.", "Multiply by 2 for the two identical rectangles."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 7,
      "image_bbox": [0.30, 0.13, 0.70, 0.30],
      "image_loc": "upper-centre of page, L-shaped figure of two rectangles labelled 8 cm and 4 cm",
      "notes": "Key: option 1 (96 cm²). Dimensions on diagram give each rectangle 12 cm x 4 cm = 48 cm²; total 96 cm²."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "Miss Tan conducted a survey to find out the number of hours her pupils slept at night. The bar graph shows the results of the survey conducted. How many students slept less than 8 hours?",
      "answer0": "35",
      "answer1": "24",
      "answer2": "18",
      "answer3": "11",
      "correct_answer": 1,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Less than 8 hours means the 6-hour and 7-hour bars: 6 + 18 = 24 students.",
      "hints": ["'Less than 8 hours' means the 6-hour and 7-hour bars only.", "Add the heights of those two bars."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 7,
      "image_bbox": [0.18, 0.46, 0.82, 0.70],
      "image_loc": "lower-middle of page, bar graph of number of students against hours slept",
      "notes": "Key: option 2 (24). 6h bar = 6, 7h bar = 18."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "How many letters in the word SHINE have at least one line of symmetry?",
      "answer0": "5",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 145,
      "difficulty_id": 2,
      "explanation": "Of S, H, I, N, E: H (vertical/horizontal), I (vertical/horizontal) and E (horizontal) each have a line of symmetry; S and N do not. So 3 letters.",
      "hints": ["Test each letter for a fold line that matches both halves.", "S and N have rotational but no line symmetry."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (3). Stem reworded to embed the word SHINE; no figure needed."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Round $83.62 to the nearest ten dollar.",
      "answer0": "$80",
      "answer1": "$83",
      "answer2": "$84",
      "answer3": "$90",
      "correct_answer": 0,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "$83.62 is between $80 and $90; since 83.62 is closer to 80 (the ones digit 3 is less than 5), it rounds to $80.",
      "hints": ["The tens are $80 and $90.", "Look at the ones digit: 3 is less than 5, so round down."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 ($80)."
    },
    {
      "n": 16,
      "type_id": 1,
      "question": "Study the shape pattern. Which shape is found in the 115th position?",
      "answer0": "star",
      "answer1": "heart",
      "answer2": "crescent moon",
      "answer3": "sun",
      "correct_answer": 3,
      "skill_id": 108,
      "difficulty_id": 2,
      "explanation": "The pattern repeats every 5 shapes: star, heart, moon, moon, sun. 115 ÷ 5 = 23 with no remainder, so the 115th shape is the 5th in the unit, the sun.",
      "hints": ["Find the length of one repeating block.", "Divide 115 by the block length and use the remainder."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q16",
      "image_needed": true,
      "image_options": true,
      "image_file": "q16.png",
      "image_page": 8,
      "image_bbox": [0.16, 0.51, 0.84, 0.59],
      "image_loc": "middle of page, horizontal strip of repeating shapes (star/heart/moon/moon/sun)",
      "notes": "Key: option 4 (sun). Options are picture shapes; option labels added as text. Crop the repeating-pattern strip plus each option shape."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Round 35 620 to the nearest hundred.",
      "answer0": "35 600",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "The hundreds are 35 600 and 35 700; the tens digit is 2 (less than 5), so 35 620 rounds down to 35 600.",
      "hints": ["Look at the tens digit to decide.", "2 tens is less than 5, so round down."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 35 600."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Write 17/4 as a mixed number.",
      "answer0": "4 1/4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "17 ÷ 4 = 4 remainder 1, so 17/4 = 4 1/4.",
      "hints": ["Divide 17 by 4.", "The quotient is the whole number; the remainder is the new numerator over 4."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4 1/4."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Write the decimal represented by A.",
      "answer0": "0.68",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 123,
      "difficulty_id": 2,
      "explanation": "Between 0.6 and 0.7 the number line is divided into 10 equal parts of 0.01. A is at the 8th mark after 0.6, so A = 0.68.",
      "hints": ["Each small interval between 0.6 and 0.7 is 0.01.", "Count the marks from 0.6 up to A."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q19",
      "image_needed": true,
      "image_options": false,
      "image_file": "q19.png",
      "image_page": 10,
      "image_bbox": [0.20, 0.47, 0.74, 0.57],
      "image_loc": "middle of page, number line marked 0.6 and 0.7 with arrow A",
      "notes": "Key: 0.68."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Arrange the following numbers from the smallest to the greatest. 3902, 3092, 3920",
      "answer0": "3092",
      "answer1": "3902",
      "answer2": "3920",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 107,
      "difficulty_id": 1,
      "explanation": "Compare digit by digit: 3092 (hundreds 0), then 3902 (hundreds 9, tens 0), then 3920 (hundreds 9, tens 2). Smallest to greatest: 3092, 3902, 3920.",
      "hints": ["All start with 3; compare the hundreds digit next.", "Then compare the tens digit for the remaining numbers."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3092, 3902, 3920. Ordering task as FIB, one blank per position."
    },
    {
      "n": 21,
      "type_id": 1,
      "question": "In the figure, name the two angles that are greater than 90°.",
      "answer0": "∠r and ∠q",
      "answer1": "∠r and ∠u",
      "answer2": "∠q and ∠t",
      "answer3": "∠s and ∠t",
      "correct_answer": 1,
      "skill_id": 194,
      "difficulty_id": 2,
      "explanation": "Reading the angles formed by the intersecting lines, ∠r and ∠u are each larger than a right angle (obtuse), while the others are smaller. So the two angles greater than 90° are ∠r and ∠u.",
      "hints": ["An angle greater than 90° is wider than a right-angle corner.", "Compare each labelled angle to a square corner."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q21",
      "image_needed": true,
      "image_options": false,
      "image_file": "q21.png",
      "image_page": 11,
      "image_bbox": [0.18, 0.13, 0.62, 0.32],
      "image_loc": "upper-left of page, intersecting lines with angles q, r, s, t, u labelled",
      "notes": "Key: r and u. Converted to MCQ because the answer is named letters (no word/letter FIB). Correct answer = option 2 (r and u)."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "3/5 − 2/10 = [?]",
      "answer0": "2/5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 121,
      "difficulty_id": 1,
      "explanation": "3/5 = 6/10, so 6/10 − 2/10 = 4/10 = 2/5.",
      "hints": ["Write 3/5 with denominator 10.", "Subtract the numerators, then simplify."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2/5."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "7.2 − 0.45 = [?]",
      "answer0": "6.75",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 129,
      "difficulty_id": 1,
      "explanation": "Align decimals: 7.20 − 0.45 = 6.75.",
      "hints": ["Write 7.2 as 7.20.", "Subtract column by column from the right."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 6.75."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "What is the remainder when 4013 is divided by 6?",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 1,
      "explanation": "4013 ÷ 6 = 668 remainder 5 (since 668 × 6 = 4008 and 4013 − 4008 = 5).",
      "hints": ["Find the largest multiple of 6 not exceeding 4013.", "668 × 6 = 4008; subtract from 4013."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Arrange the following fractions from the greatest to the smallest. 2/3, 1/2, 5/6",
      "answer0": "5/6",
      "answer1": "2/3",
      "answer2": "1/2",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "Using denominator 6: 2/3 = 4/6, 1/2 = 3/6, 5/6 = 5/6. Greatest to smallest: 5/6, 4/6, 3/6, i.e. 5/6, 2/3, 1/2.",
      "hints": ["Convert all to sixths.", "Compare the numerators once denominators match."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5/6, 2/3, 1/2. Ordering FIB, one blank per position."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "The area of a rectangle is 48 cm². The length of the rectangle is 8 cm. What is the breadth of the rectangle?",
      "answer0": "6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 136,
      "difficulty_id": 1,
      "explanation": "Breadth = area ÷ length = 48 ÷ 8 = 6 cm.",
      "hints": ["Area = length × breadth.", "Divide the area by the length."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q26",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 6 cm (answer field unit is cm)."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "When a number with 1 decimal place is rounded to the nearest whole number, the answer is 89. What is the greatest possible number? What is the smallest possible number?",
      "answer0": "89.4",
      "answer1": "88.5",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 128,
      "difficulty_id": 3,
      "explanation": "A 1-decimal-place number rounds to 89 if it lies from 88.5 up to 89.4 (88.5 rounds up, 89.4 rounds down, 89.5 would round to 90). Greatest = 89.4; smallest = 88.5.",
      "hints": ["Numbers from 88.5 to 89.49 round to 89.", "With 1 decimal place the largest is 89.4 and the smallest is 88.5."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q27",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 89.4, (b) 88.5. Two blanks: greatest then smallest."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "The table shows the number of boys and girls in two Primary 4 classes who wear or do not wear spectacles. How many boys from both classes wear spectacles? How many girls from Primary 4A do not wear spectacles?",
      "answer0": "21",
      "answer1": "12",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 147,
      "difficulty_id": 2,
      "explanation": "(a) Boys who wear spectacles = 9 (4A) + 12 (4B) = 21. (b) Primary 4A total is 42; known pupils = 9 + 14 + 7 = 30, so girls in 4A who do not wear spectacles = 42 − 30 = 12.",
      "hints": ["For (a) add the 'wears spectacles' boys from both classes.", "For (b) subtract the three known 4A counts from the 4A total of 42."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q28",
      "image_needed": true,
      "image_options": false,
      "image_file": "q28.png",
      "image_page": 13,
      "image_bbox": [0.14, 0.14, 0.78, 0.30],
      "image_loc": "top of page, two-way table of boys/girls wearing or not wearing spectacles",
      "notes": "Key: (a) 9+12=21, (b) 42−30=12. Two blanks."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "ABCD is a rectangle. ∠ADE = ∠EDF = ∠FDC. Find ∠ADE.",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 140,
      "difficulty_id": 2,
      "explanation": "∠ADC of the rectangle is 90° and is split into three equal angles, so ∠ADE = 90° ÷ 3 = 30°.",
      "hints": ["The corner angle of a rectangle is 90°.", "Divide 90° into three equal parts."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q29",
      "image_needed": true,
      "image_options": false,
      "image_file": "q29.png",
      "image_page": 13,
      "image_bbox": [0.42, 0.62, 0.74, 0.80],
      "image_loc": "lower-right of page, rectangle ABCD with lines DE and DF from corner D",
      "notes": "Key: 90÷3 = 30° (answer field unit is degrees)."
    },
    {
      "n": 30,
      "type_id": 0,
      "question": "The square grid shows different locations in a school. (a) In which direction is the Science Lab from the Hall? (b) Mary is standing at Point X, facing the Canteen. She makes a 90° turn anti-clockwise. Where will she be facing after making the turn?",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 142,
      "difficulty_id": 2,
      "explanation": "(a) The Science Lab is to the right of the Hall on the same row, and N points right, so the Science Lab is north of the Hall. (b) Facing the Canteen (south-west / down-left) and turning 90° anti-clockwise, Mary faces the Field.",
      "hints": ["Use the N arrow to orient the grid.", "Turning 90° anti-clockwise rotates the facing direction a quarter turn left."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q30",
      "image_needed": true,
      "image_options": false,
      "image_file": "q30.png",
      "image_page": 14,
      "image_bbox": [0.16, 0.14, 0.70, 0.40],
      "image_loc": "top of page, 5x4 location grid with N arrow",
      "notes": "Key: (a) north, (b) field. type_id 0 (two word/direction answers + grid orientation; 8-point compass task removed from 2026 syllabus, served as reference). SKIPPED on insert."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "The perimeter of a square is 72 cm. What is the area of the square?",
      "answer0": "324",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 137,
      "difficulty_id": 2,
      "explanation": "Side = 72 ÷ 4 = 18 cm. Area = 18 × 18 = 324 cm².",
      "hints": ["A square has 4 equal sides; divide the perimeter by 4.", "Area of a square = side × side."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 72÷4=18; 18×18=324 cm² (answer field unit is cm²)."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "Mrs Tan took 15 minutes to walk home from the supermarket. She left the supermarket at 1.50 p.m. What time did she reach home? Express the time using the 24-hour clock.",
      "answer0": "14 05",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "1.50 p.m. + 15 min = 2.05 p.m. In 24-hour clock that is 14 05.",
      "hints": ["Add 15 minutes to 1.50 p.m.", "Convert p.m. time to 24-hour clock by adding 12 to the hour."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q32",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2.05 p.m. = 14 05."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "Bobby had some muffins. The graph shows the number of muffins sold by Bobby in 4 days. 3/4 of the total muffins were sold on Monday, Tuesday and Thursday. How many muffins were sold on Wednesday?",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 3,
      "explanation": "Mon + Tue + Thu = 21 + 42 + 27 = 90, which is 3/4 of the total. So total = 90 ÷ 3 × 4 = 120, and Wednesday = 120 − 90 = 30. (Equivalently Wednesday is the remaining 1/4: 90 ÷ 3 = 30.)",
      "hints": ["Add the muffins from Monday, Tuesday and Thursday.", "That sum is 3/4 of the total, so Wednesday is the remaining 1/4."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q33",
      "image_needed": true,
      "image_options": false,
      "image_file": "q33.png",
      "image_page": 15,
      "image_bbox": [0.16, 0.39, 0.78, 0.60],
      "image_loc": "middle of page, bar graph of muffins sold per day (Wednesday bar marked ?)",
      "notes": "Key: 21+42+27=90 (=3/4); 90÷3=30 sold on Wednesday."
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "What is the least number of squares needed to be shaded so that the line AB is a line of symmetry for the figure?",
      "answer0": "4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 145,
      "difficulty_id": 3,
      "explanation": "Reflecting the already-shaded squares across the diagonal line AB, 4 of the mirror-image squares are not yet shaded, so at least 4 more squares must be shaded.",
      "hints": ["Reflect each shaded square across line AB.", "Count the reflected positions that are still unshaded."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q34",
      "image_needed": true,
      "image_options": false,
      "image_file": "q34.png",
      "image_page": 16,
      "image_bbox": [0.20, 0.18, 0.56, 0.40],
      "image_loc": "upper-left of page, grid with diagonal line AB and some shaded squares",
      "notes": "Key: 4."
    },
    {
      "n": 35,
      "type_id": 0,
      "question": "Complete the drawing of Square QRST and label the Point T.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "QRS forms three vertices of the square; the fourth vertex T is placed so that QRST is a square (T is positioned below the midpoint, with TQ and TS equal and perpendicular to the adjacent sides). The pupil draws sides ST and TQ and labels T.",
      "hints": ["A square has 4 equal sides and 4 right angles.", "Find where T must lie so QT and ST complete equal, perpendicular sides."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q35",
      "image_needed": true,
      "image_options": false,
      "image_file": "q35.png",
      "image_page": 16,
      "image_bbox": [0.26, 0.52, 0.70, 0.78],
      "image_loc": "lower-middle of page, grid with points Q, R, S drawn",
      "notes": "Key: drawing answer (complete square + label T). Interactive draw task -> type_id 0, SKIPPED on insert."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Javier has a rectangular paper measuring 31 cm by 15 cm. He wants to cut out small squares measuring 2 cm by 2 cm from the piece of rectangular paper. What is the greatest number of small squares that Javier can cut out?",
      "answer0": "105",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "Along the 31 cm side: 31 ÷ 2 = 15 squares (1 cm wasted). Along the 15 cm side: 15 ÷ 2 = 7 squares (1 cm wasted). Greatest number = 15 × 7 = 105 squares.",
      "hints": ["Find how many 2 cm squares fit along each side, ignoring the leftover.", "Multiply the two counts together."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q36",
      "image_needed": true,
      "image_options": false,
      "image_file": "q36.png",
      "image_page": 17,
      "image_bbox": [0.16, 0.27, 0.72, 0.44],
      "image_loc": "upper-left of page, 31 cm by 15 cm rectangle and a 2 cm by 2 cm square",
      "notes": "Key: 31÷2=15 R1; 15÷2=7 R1; 15×7=105."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "Shop X sold 4 times as many cars as Shop Y. Shop Y sold twice as many cars as Shop Z. Shop Z sold 602 fewer cars than Shop X. How many cars did Shop Z sell? How many cars did the three shops sell altogether?",
      "answer0": "86",
      "answer1": "946",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let Shop Z = 1 unit. Shop Y = 2 units, Shop X = 4 × 2 = 8 units. X − Z = 8 − 1 = 7 units = 602, so 1 unit = 602 ÷ 7 = 86. Shop Z = 86. Total = (8 + 2 + 1) units = 11 units = 11 × 86 = 946 cars.",
      "hints": ["Let Shop Z be 1 unit and express the others in units.", "The difference X − Z equals 602; find one unit, then total the units."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q37",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 602÷7=86, (b) 86×11=946. Two blanks: Z then total."
    },
    {
      "n": 38,
      "type_id": 2,
      "question": "Belicia mixed 1.43 ℓ of orange syrup with 8 ℓ of water to make an orange drink. The orange drink was then poured into 7 identical jugs. How many litres of orange drink were there in total? How many litres of orange drink were there in each jug? Round your answer to 2 decimal places.",
      "answer0": "9.43",
      "answer1": "1.35",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "(a) Total = 8 + 1.43 = 9.43 ℓ. (b) Each jug = 9.43 ÷ 7 = 1.347... ≈ 1.35 ℓ (2 d.p.).",
      "hints": ["Add the syrup and water for the total.", "Divide the total by 7 jugs, then round to 2 decimal places."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q38",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 9.43 l, (b) 9.43÷7=1.347 ≈ 1.35 l. Two blanks."
    },
    {
      "n": 39,
      "type_id": 2,
      "question": "Jamie read 2/9 of a book on Monday, 1/3 of the book on Tuesday and the remaining pages on Wednesday. She read 25 more pages on Tuesday than on Monday. What fraction of the book did she read on Wednesday? How many pages were there in the book?",
      "answer0": "4/9",
      "answer1": "225",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "(a) Monday + Tuesday = 2/9 + 1/3 = 2/9 + 3/9 = 5/9, so Wednesday = 1 − 5/9 = 4/9. (b) Tuesday − Monday = 3/9 − 2/9 = 1/9 of the book = 25 pages, so the whole book = 25 × 9 = 225 pages.",
      "hints": ["Add Monday and Tuesday fractions, then subtract from 1 for Wednesday.", "The difference 1/9 of the book equals 25 pages; multiply by 9."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q39",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 4/9, (b) 1/9 = 25 pages -> 25×9 = 225 pages. Two blanks."
    },
    {
      "n": 40,
      "type_id": 2,
      "question": "Ticket prices at Dazzle Zoological Gardens are 1 adult: $? each, 1 child: $7.50 each. Mr and Mrs Lee brought their 5 children to Dazzle Zoological Gardens. They paid $67.50 in total for their tickets. How much did the tickets for 5 children cost? Find the cost of 1 adult ticket.",
      "answer0": "37.50",
      "answer1": "15",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "(a) 5 children = 5 × $7.50 = $37.50. (b) The 2 adult tickets cost $67.50 − $37.50 = $30, so 1 adult ticket = $30 ÷ 2 = $15.",
      "hints": ["Multiply $7.50 by 5 for the children's tickets.", "Subtract the children's cost from $67.50, then divide by the 2 adults."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q40",
      "image_needed": true,
      "image_options": false,
      "image_file": "q40.png",
      "image_page": 21,
      "image_bbox": [0.20, 0.11, 0.72, 0.28],
      "image_loc": "top of page, framed Dazzle Zoological Gardens ticket-price sign",
      "notes": "Key: (a) 7.50×5 = $37.50, (b) 67.50−37.50=30; 30÷2=$15. Two blanks (amounts in dollars)."
    },
    {
      "n": 41,
      "type_id": 2,
      "question": "Rectangle ABCD is made up of 4 identical rectangles. The perimeter of the shaded rectangle is 48 cm. What is the area of the shaded rectangle? What is the perimeter of rectangle ABCD?",
      "answer0": "108",
      "answer1": "84",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "The shaded rectangle's length is 3 times its breadth. Perimeter = 2 × (3b + b) = 8b = 48, so b = 6 cm and length = 18 cm. (a) Area = 18 × 6 = 108 cm². (b) ABCD has length 6 + 18 = 24 cm and breadth 18 cm, so perimeter = (24 + 18) × 2 = 84 cm.",
      "hints": ["Let the shaded rectangle's breadth be 1 unit; its length is 3 units (it spans the 3 stacked rectangles).", "Use the perimeter 48 cm to find the unit, then compute area and the big rectangle's perimeter."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q41",
      "image_needed": true,
      "image_options": false,
      "image_file": "q41.png",
      "image_page": 22,
      "image_bbox": [0.34, 0.16, 0.62, 0.32],
      "image_loc": "upper-centre of page, rectangle ABCD split into a shaded tall rectangle and 3 stacked rectangles",
      "notes": "Key: (a) 48÷4=12 -> dimensions 6 & 18; (6×3)×6 = 108 cm², (b) (6+6+6+18)×2 = 84 cm. Two blanks."
    },
    {
      "n": 42,
      "type_id": 2,
      "question": "The table shows the number of dots and arrows used to form each figure. Figure 1: 3 dots, 1 arrow; Figure 2: 5 dots, 4 arrows; Figure 3: 7 dots, 9 arrows; Figure 4: 9 dots, 16 arrows. Complete the table for Figure 6: number of dots is [?] and number of arrows is [?]. Which figure would have a total of 43 dots? How many arrows would be used for Figure 20?",
      "answer0": "13",
      "answer1": "36",
      "answer2": "21",
      "answer3": "400",
      "correct_answer": null,
      "skill_id": 108,
      "difficulty_id": 3,
      "explanation": "Dots = 2 × figure number + 1, arrows = (figure number)². (a) Figure 6: dots = 2×6 + 1 = 13, arrows = 6² = 36. (b) 43 dots: 2n + 1 = 43 -> n = 21, Figure 21. (c) Figure 20 arrows = 20² = 400.",
      "hints": ["Dots increase by 2 each figure (2n + 1); arrows are the square of the figure number.", "Use those rules to extend to Figure 6, find which figure has 43 dots, and Figure 20's arrows."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q42",
      "image_needed": true,
      "image_options": false,
      "image_file": "q42.png",
      "image_page": 23,
      "image_bbox": [0.18, 0.15, 0.78, 0.30],
      "image_loc": "top of page, panel showing Figures 1-4 made of dots and arrows",
      "notes": "Key: (a) 13 dots & 36 arrows, (b) Figure 21, (c) 400 arrows. 4 blanks: Fig6 dots, Fig6 arrows, which-figure, Fig20 arrows. correct_answer null (FIB)."
    },
    {
      "n": 43,
      "type_id": 2,
      "question": "Poppy paid $375 for 4 similar watches and 5 similar headphones. Melody paid $160 less for 2 similar watches and 3 similar headphones. What was the cost of 2 similar watches and 3 similar headphones? What was the cost of a headphone?",
      "answer0": "215",
      "answer1": "55",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "(a) 2 watches + 3 headphones = $375 − $160 = $215. (b) Doubling: 4 watches + 6 headphones = 2 × $215 = $430. Subtract Poppy's 4 watches + 5 headphones = $375: that leaves 1 headphone = $430 − $375 = $55.",
      "hints": ["The cheaper bundle is $160 less than $375.", "Double the small bundle, then subtract Poppy's bundle to leave one headphone."],
      "source": "Methodist Girls 2022 P4 Semestral Assessment 2 Q43",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 375−160=$215, (b) 215×2=430; 430−375=$55. Two blanks (dollars)."
    }
  ]
}