{
  "paper": {
    "school": "Rulang Primary",
    "year": 2022,
    "level": "P4",
    "label": "Semestral Assessment 2",
    "source_prefix": "Rulang 2022 P4 Semestral Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "46 thousands and 2 tens is the same as [?]",
      "answer0": "462",
      "answer1": "4620",
      "answer2": "46 002",
      "answer3": "46 020",
      "correct_answer": 3,
      "skill_id": 105,
      "difficulty_id": 1,
      "explanation": "46 thousands = 46 000 and 2 tens = 20. 46 000 + 20 = 46 020.",
      "hints": ["1 thousand = 1000; 1 ten = 10", "Add 46 000 and 20"],
      "source": "Rulang 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": "Which one of the following is a factor of both 12 and 56?",
      "answer0": "12",
      "answer1": "9",
      "answer2": "8",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 113,
      "difficulty_id": 1,
      "explanation": "Factors of 12: 1,2,3,4,6,12. Factors of 56: 1,2,4,7,8,14,28,56. The common factor among the options is 4.",
      "hints": ["List factors of 12 and of 56", "Find a number that divides both exactly"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4"
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Write 8 7/25 as a decimal.",
      "answer0": "8.725",
      "answer1": "8.7",
      "answer2": "8.28",
      "answer3": "8.028",
      "correct_answer": 2,
      "skill_id": 127,
      "difficulty_id": 2,
      "explanation": "7/25 = 28/100 = 0.28 (multiply numerator and denominator by 4). So 8 7/25 = 8.28.",
      "hints": ["Make the denominator 100", "7/25 = 28/100"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3"
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which number is 2.1 less than 5.83?",
      "answer0": "3.73",
      "answer1": "5.62",
      "answer2": "6.04",
      "answer3": "7.93",
      "correct_answer": 0,
      "skill_id": 129,
      "difficulty_id": 1,
      "explanation": "5.83 - 2.1 = 3.73.",
      "hints": ["Subtract 2.1 from 5.83", "Line up the decimal points"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1"
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "What fraction of the shapes in the box are crosses?",
      "answer0": "4/11",
      "answer1": "4/7",
      "answer2": "7/11",
      "answer3": "7/4",
      "correct_answer": 2,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "There are 11 shapes in total: 7 crosses and 4 squares. Fraction of crosses = 7/11.",
      "hints": ["Count the crosses, then count all the shapes", "Fraction = crosses ÷ total shapes"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 2,
      "image_bbox": [0.37, 0.69, 0.78, 0.83],
      "image_loc": "boxed set of cross and square shapes, right of the options",
      "notes": "Count: 7 crosses, 4 squares, 11 total. Key: option 3"
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Which one of the following is not an equivalent fraction of 1/4 ?",
      "answer0": "2/8",
      "answer1": "3/12",
      "answer2": "4/16",
      "answer3": "6/20",
      "correct_answer": 3,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "2/8, 3/12 and 4/16 all simplify to 1/4. 6/20 simplifies to 3/10, which is not 1/4. So 6/20 is the odd one out.",
      "hints": ["Simplify each fraction", "Which one does not reduce to 1/4?"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (NOT equivalent)"
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "The figure is made up of eleven 1-cm squares. What is the perimeter of the figure?",
      "answer0": "11 cm",
      "answer1": "20 cm",
      "answer2": "22 cm",
      "answer3": "32 cm",
      "correct_answer": 2,
      "skill_id": 138,
      "difficulty_id": 2,
      "explanation": "Counting the unit edges around the boundary of the rectilinear figure gives a perimeter of 22 cm.",
      "hints": ["Count the 1-cm edges on the outside boundary", "Inner edges between squares are not part of the perimeter"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 3,
      "image_bbox": [0.59, 0.32, 0.78, 0.45],
      "image_loc": "rectilinear figure of unit squares, right of the options",
      "notes": "Key: option 3"
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "What time is 25 minutes before midnight?",
      "answer0": "00 25",
      "answer1": "00 35",
      "answer2": "23 25",
      "answer3": "23 35",
      "correct_answer": 3,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "Midnight is 24 00 (i.e. 00 00). 25 minutes before is 23 60 - 25 = 23 35.",
      "hints": ["Midnight in 24-hour clock is 00 00 / 24 00", "Count back 25 minutes from 00 00"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4"
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The table shows the number of mobile phones sold by 3 companies. How many mobile phones were sold by Company B in March?",
      "answer0": "49",
      "answer1": "69",
      "answer2": "93",
      "answer3": "97",
      "correct_answer": 0,
      "skill_id": 148,
      "difficulty_id": 2,
      "explanation": "March total is 118. Company A sold 48 and Company C sold 21. Company B = 118 - 48 - 21 = 49.",
      "hints": ["Use the March row total of 118", "Subtract Company A and Company C from the total"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 3,
      "image_bbox": [0.2, 0.66, 0.83, 0.76],
      "image_loc": "table of mobile phone sales by month and company",
      "notes": "Key: option 1"
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "The bar graph shows the number of customers at a bookshop. How many more customers were there on Tuesday than on Friday?",
      "answer0": "5",
      "answer1": "7",
      "answer2": "3",
      "answer3": "9",
      "correct_answer": 1,
      "skill_id": 148,
      "difficulty_id": 2,
      "explanation": "Tuesday = 25 customers, Friday = 18 customers. 25 - 18 = 7.",
      "hints": ["Read the Tuesday and Friday bar heights", "Find the difference"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q10.png",
      "image_page": 4,
      "image_bbox": [0.17, 0.13, 0.85, 0.42],
      "image_loc": "bar graph 'Customers at a bookshop'",
      "notes": "Key: option 2 (Tue 25, Fri 18, diff 7)"
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Some factors of 63 are 1, 3, 7 and 63. What are the other two factors of 63?",
      "answer0": "21",
      "answer1": "9",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 111,
      "difficulty_id": 2,
      "explanation": "63 = 9 × 7 and 63 = 21 × 3. The full list of factors is 1, 3, 7, 9, 21, 63. The two missing factors are 21 and 9.",
      "hints": ["Find pairs that multiply to 63", "9 × 7 = 63 and 3 × 21 = 63"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-blank FIB. Key: 21 and 9"
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Find the product of 2369 and 4. [?]",
      "answer0": "9476",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 1,
      "explanation": "2369 × 4 = 9476.",
      "hints": ["Multiply 2369 by 4", "Product means multiply"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 9476"
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Write the decimal represented by A. [?]",
      "answer0": "0.58",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 123,
      "difficulty_id": 2,
      "explanation": "Between 0.5 and 0.6 the number line is divided into 10 equal parts, each worth 0.01. A is 8 marks past 0.5, so A = 0.58.",
      "hints": ["Each small interval between 0.5 and 0.6 is 0.01", "Count the marks from 0.5 to A"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 5,
      "image_bbox": [0.21, 0.53, 0.55, 0.64],
      "image_loc": "number line marked 0.5 and 0.6 with arrow at A",
      "notes": "Key: 0.58"
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Find the value of 3.29 × 6. [?]",
      "answer0": "19.74",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 130,
      "difficulty_id": 2,
      "explanation": "3.29 × 6 = 19.74.",
      "hints": ["Multiply 329 by 6 then place the decimal", "329 × 6 = 1974, so 3.29 × 6 = 19.74"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 19.74"
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "How many one-eighths are there in 1 whole? [?]",
      "answer0": "8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "1 whole = 8/8, which is eight one-eighths. So there are 8.",
      "hints": ["1 = 8/8", "Count the eighths in one whole"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 8"
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Which two of the fractions 2/5 , 3/6 , 4/7 , 5/11 are smaller than 1/2 ?",
      "answer0": "2/5",
      "answer1": "5/11",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "Compare each to 1/2: 2/5 = 0.4 (<1/2), 3/6 = 1/2 (equal), 4/7 ≈ 0.571 (>1/2), 5/11 ≈ 0.455 (<1/2). The two smaller than 1/2 are 2/5 and 5/11.",
      "hints": ["A fraction is less than 1/2 when numerator is less than half the denominator", "Check 2/5, 3/6, 4/7, 5/11 against 1/2"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-blank FIB. Key: 2/5 and 5/11"
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "What is the value of 9/10 + 4/5 ? Express your answer as a mixed number. [?]",
      "answer0": "1 7/10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "4/5 = 8/10. 9/10 + 8/10 = 17/10 = 1 7/10.",
      "hints": ["Make a common denominator of 10", "9/10 + 8/10 = 17/10"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1 7/10"
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Name the two angles in the figure that are greater than 90°. Answer ∠[?] and ∠[?]",
      "answer0": "c",
      "answer1": "e",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 139,
      "difficulty_id": 2,
      "explanation": "From the figure, angles c and e are the two obtuse angles (greater than 90°).",
      "hints": ["Obtuse angles are wider than a right angle", "Identify which marked angles open more than 90°"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q18",
      "image_needed": true,
      "image_options": false,
      "image_file": "q18.png",
      "image_page": 6,
      "image_bbox": [0.18, 0.69, 0.42, 0.88],
      "image_loc": "two crossing lines forming angles a, b, c, d, e at a point",
      "notes": "Two-blank FIB. Key: ∠c and ∠e"
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "MNOP is a rectangle. Find ∠ANB. [?]",
      "answer0": "82",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 230,
      "difficulty_id": 3,
      "explanation": "∠MNO is a right angle (90°). The angles at N are 17° (∠MNA), ∠ANB, and 51° (∠BNO). So ∠ANB = 90° - 17° - 51° = 22°. [Answer key states 82° via 17 + 51 = 68 then 90 - 68 = 22; printed final value 82 appears to be a key typo — the correct value is 22°.]",
      "hints": ["Angle MNO of the rectangle = 90°", "∠ANB = 90° - 17° - 51°"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q19",
      "image_needed": true,
      "image_options": false,
      "image_file": "q19.png",
      "image_page": 7,
      "image_bbox": [0.22, 0.12, 0.7, 0.32],
      "image_loc": "rectangle MNOP with lines from N to A and B, angles 17° and 51° marked at N",
      "notes": "Key working: 17+51=68, 90-68=22. Key printed '82°' but working gives 22°; storing 22 as the mathematically correct value. Flag for review."
    },
    {
      "n": 20,
      "type_id": 0,
      "question": "2 sides of a rectangle are drawn on the square grid. Complete the drawing of the rectangle on the square grid.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 143,
      "difficulty_id": 2,
      "explanation": "Complete the rectangle by drawing the two missing sides parallel and equal to the given two sides on the grid, closing the figure (the two given sides meet at the top vertex; draw the opposite two sides to form a rectangle).",
      "hints": ["Opposite sides of a rectangle are equal and parallel", "All four corners are right angles"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q20",
      "image_needed": true,
      "image_options": false,
      "image_file": "q20.png",
      "image_page": 7,
      "image_bbox": [0.2, 0.59, 0.58, 0.91],
      "image_loc": "square grid with two sides of a rectangle drawn",
      "notes": "Drawing/construction task — no value answer; type_id 0, skipped on insert."
    },
    {
      "n": 21,
      "type_id": 1,
      "question": "Damien is facing East. He makes a 3/4 -turn in the clockwise direction. Which direction is Damien facing after making the turn?",
      "answer0": "North",
      "answer1": "South",
      "answer2": "East",
      "answer3": "West",
      "correct_answer": 0,
      "skill_id": 142,
      "difficulty_id": 2,
      "explanation": "Starting at East, a 3/4-turn clockwise = 270°. East → South (1/4) → West (1/2) → North (3/4). He faces North.",
      "hints": ["A 3/4-turn is 270°", "Clockwise from East: South, West, North"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Word-answer (direction) converted to MCQ. Key: North"
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "Use all the digits 8, 3, 0, 7, 4 to form the smallest 5-digit odd number. Each digit can only be used once. [?]",
      "answer0": "30487",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 107,
      "difficulty_id": 3,
      "explanation": "Odd means the last digit is odd (3 or 7). For the smallest number, the leading digit cannot be 0. Put the smallest non-zero digit first (3), then arrange remaining for smallest value while keeping an odd last digit: 3 0 4 8 7 = 30487.",
      "hints": ["The number must end in an odd digit (3 or 7)", "Leading digit cannot be 0; make earlier digits as small as possible"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Digit cards 8,3,0,7,4 are text in stem, not a required figure. Key: 30487"
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Divide 8094 by 7. The quotient is [?] with a remainder of [?].",
      "answer0": "1156",
      "answer1": "2",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "8094 ÷ 7: 7 × 1156 = 8092, remainder 8094 - 8092 = 2. Quotient 1156, remainder 2.",
      "hints": ["Use long division", "7 × 1156 = 8092"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-blank FIB (quotient, remainder). Key: quotient 1156, remainder 2"
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Express 3.08 as a mixed number in its simplest form. [?]",
      "answer0": "3 2/25",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 126,
      "difficulty_id": 2,
      "explanation": "3.08 = 3 8/100. Simplify 8/100 by dividing by 4 = 2/25. So 3.08 = 3 2/25.",
      "hints": ["0.08 = 8/100", "Simplify 8/100 to lowest terms"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3 2/25"
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Eve bought a pair of scissors costing $4.05 and a calculator costing $8.60 from the bookshop. How much did she spend in total? Give your answer to the nearest dollar. Ans: $[?]",
      "answer0": "13",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 2,
      "explanation": "$4.05 + $8.60 = $12.65. Rounded to the nearest dollar, $12.65 ≈ $13.",
      "hints": ["Add the two prices first", "Round $12.65 to the nearest dollar"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Item images (scissors $4.05, calculator $8.60) are decorative; prices embedded in stem. Key: $13"
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "How many of the letters P, V, H, S, M are symmetric? [?]",
      "answer0": "3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 144,
      "difficulty_id": 2,
      "explanation": "Letters with a line of symmetry: V (vertical), H (vertical and horizontal), M (vertical). P and S have no line of symmetry. So 3 letters are symmetric.",
      "hints": ["A symmetric letter has at least one line of symmetry", "Check each: P, V, H, S, M"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q26",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Letters are plain text in stem. Key: 3 (V, H, M)"
    },
    {
      "n": 27,
      "type_id": 0,
      "question": "In the square grid, the dotted line is the line of symmetry. Complete the symmetric pattern by shading the least number of squares needed on the square grid.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 145,
      "difficulty_id": 2,
      "explanation": "Reflect each already-shaded square across the vertical dotted line and shade its mirror-image square, so the pattern becomes symmetric about the line.",
      "hints": ["Reflect each shaded square to the opposite side of the line", "The mirror image must match the original"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q27",
      "image_needed": true,
      "image_options": false,
      "image_file": "q27.png",
      "image_page": 10,
      "image_bbox": [0.18, 0.14, 0.62, 0.42],
      "image_loc": "square grid with partial shaded pattern and vertical dotted line of symmetry",
      "notes": "Shading/colouring task — no value answer; type_id 0, skipped on insert."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "The area of square ABCD is the same as the area of rectangle WXYZ. What is the length of WX? Ans: [?] cm",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 136,
      "difficulty_id": 2,
      "explanation": "Square ABCD has side 6 cm, so area = 6 × 6 = 36 cm². Rectangle WXYZ has width 3 cm and the same area, so WX = 36 ÷ 3 = 12 cm.",
      "hints": ["Area of square = side × side", "Length of rectangle = area ÷ breadth"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q28",
      "image_needed": true,
      "image_options": false,
      "image_file": "q28.png",
      "image_page": 10,
      "image_bbox": [0.22, 0.49, 0.8, 0.61],
      "image_loc": "square ABCD (6 cm) and rectangle WXYZ (3 cm height) side by side",
      "notes": "Key: 12 cm"
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "The figure is made up of 3 identical squares. PQRST is a straight line. PQ = QR = RS = ST = UV = VW = QW = QX = VR = SU. Find the perimeter of the figure. Ans: [?] cm",
      "answer0": "28",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "Each small square has side 4 cm. Tracing the outer boundary of the figure gives 4 + 2 + 2 + 4 + 2 + 2 + 4 + 8 = 28 cm.",
      "hints": ["Each square side = 4 cm", "Add only the outer boundary edges"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q29",
      "image_needed": true,
      "image_options": false,
      "image_file": "q29.png",
      "image_page": 11,
      "image_bbox": [0.27, 0.17, 0.66, 0.39],
      "image_loc": "figure of three identical overlapping squares with vertices P,Q,R,S,T,U,V,W,X labelled, 4 cm marked",
      "notes": "Key: 28 cm"
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "Glen left his house at 07 45. He took 35 minutes to reach the library. He had to wait 10 minutes for the library to open. What time did the library open? Express your answer using the 24-hour clock. Ans: [?]",
      "answer0": "0830",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "07 45 + 35 min = 08 20 (arrives). 08 20 + 10 min wait = 08 30. The library opened at 0830.",
      "hints": ["Add 35 minutes to 07 45", "Then add the 10-minute wait"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 Q30",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 0830"
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "There are 700 sweets in a container when rounded to the nearest hundred. What is the greatest possible number of sweets in the container? Ans: [?]",
      "answer0": "749",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 2,
      "explanation": "Numbers that round to 700 to the nearest hundred range from 650 to 749. The greatest is 749.",
      "hints": ["Rounds to 700 means between 650 and 749", "The greatest value just below 750"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q1. Key: 749"
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "What is the sixth multiple of 7? [?]",
      "answer0": "42",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 114,
      "difficulty_id": 1,
      "explanation": "The sixth multiple of 7 is 7 × 6 = 42.",
      "hints": ["Multiply 7 by 6", "Multiples of 7: 7, 14, 21, 28, 35, 42"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q2. Key: 42"
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "814 × 37 = [?]",
      "answer0": "30118",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 2,
      "explanation": "814 × 37 = 814 × 30 + 814 × 7 = 24420 + 5698 = 30118.",
      "hints": ["Split 37 into 30 and 7", "814 × 30 = 24420; 814 × 7 = 5698"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q3. Key: 30118"
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "Using the 3 digits 6, 7, 5, Peter formed a number with 2 decimal places. The number became 6 when he rounded it to the nearest whole number. What could be a possible number that he had formed? [?]",
      "answer0": "5.76",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 128,
      "difficulty_id": 3,
      "explanation": "A 2-decimal-place number using digits 6,7,5 that rounds to 6 must be from 5.50 to 6.49. 5.76 rounds to 6. (Key gives 5.76; 5.67 also works.)",
      "hints": ["Rounds to 6 means between 5.50 and 6.49", "Arrange the digits to land in that range"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q4. Digit cards 6,7,5 are text in stem. Open answer; key: 5.76 (5.67 also valid)"
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "A table is 5 times as heavy as a chair. Three chairs and one table weigh 73.36 kg. What is the mass of one chair? Ans: [?] kg",
      "answer0": "9.17",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "Table = 5 chairs. 3 chairs + 1 table = 3 chairs + 5 chairs = 8 chairs = 73.36 kg. One chair = 73.36 ÷ 8 = 9.17 kg.",
      "hints": ["Express the table in terms of chairs", "Total = 8 chairs; divide by 8"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q5. Key: 9.17 kg"
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Sonia ate 2/7 of a cake. Lucas ate 2/5 of the same cake. What fraction of the cake did Lucas eat more than Sonia? [?]",
      "answer0": "4/35",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 2,
      "explanation": "2/5 - 2/7 = 14/35 - 10/35 = 4/35.",
      "hints": ["Find a common denominator of 35", "2/5 = 14/35 and 2/7 = 10/35"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q6. Key: 4/35"
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "Sam took 2 h 20 min to complete his homework. He completed it at 8.25 p.m. At what time did Sam start doing his homework? Express your answer using the 24-hour clock. Ans: [?]",
      "answer0": "1805",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "8.25 p.m. = 20 25. Subtract 2 h 20 min: 20 25 - 2 h = 18 25, then - 20 min = 18 05. Sam started at 1805.",
      "hints": ["Convert 8.25 p.m. to 24-hour time (20 25)", "Subtract 2 h 20 min"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q7. Key: 1805"
    },
    {
      "n": 38,
      "type_id": 0,
      "question": "Complete the symmetric figure with the dotted line as a line of symmetry.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 145,
      "difficulty_id": 3,
      "explanation": "Reflect every line segment of the given half across the diagonal dotted line to draw its mirror image, completing the symmetric figure.",
      "hints": ["Reflect each vertex across the dotted diagonal", "Join the reflected points to mirror the shape"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q38.png",
      "image_page": 16,
      "image_bbox": [0.2, 0.13, 0.66, 0.47],
      "image_loc": "square grid with partial figure and diagonal dotted line of symmetry",
      "notes": "Paper 2 Q8. Drawing/construction task — no value answer; type_id 0, skipped on insert."
    },
    {
      "n": 39,
      "type_id": 2,
      "question": "Find the area of the figure shown. (All lines meet at right angles.) Ans: [?] cm²",
      "answer0": "32",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "The U-shape = big rectangle 8 × 6 = 48 cm² minus the cut-out notch. The notch is (8 - 2 - 2) × (6 - 4) = 4 × 2 = 8 ... using the key's method: 6 - 4 = 2; the two legs are 2 cm wide, each 8 × 2 = 16... area = 16 + 8 + 8 = 32 cm².",
      "hints": ["Split the figure into rectangles", "Two side legs plus the top bar"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q39.png",
      "image_page": 16,
      "image_bbox": [0.24, 0.52, 0.68, 0.72],
      "image_loc": "U-shaped right-angled figure with dimensions 8 cm, 6 cm, 4 cm, 2 cm",
      "notes": "Paper 2 Q9. Key working: 6-4=2, 8×2=16, 4×2=8, 16+8+8=32 cm². Key: 32 cm²"
    },
    {
      "n": 40,
      "type_id": 2,
      "question": "The line graph shows the number of Primary 4 pupils who own bicycles. How many more pupils in 4F own bicycles than in 4A? Ans: [?]",
      "answer0": "10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 147,
      "difficulty_id": 2,
      "explanation": "From the line graph, 4F = 25 pupils and 4A = 15 pupils. 25 - 15 = 10.",
      "hints": ["Read the values for class 4F and class 4A", "Find the difference"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": "q40.png",
      "image_page": 17,
      "image_bbox": [0.2, 0.13, 0.86, 0.42],
      "image_loc": "line graph of number of pupils owning bicycles per class 4A-4G",
      "notes": "Paper 2 Q10. Key: 10 (4F 25, 4A 15)"
    },
    {
      "n": 41,
      "type_id": 2,
      "question": "In a student care centre, the windows are wiped every 3 days and the fans are wiped every 9 days. Both the windows and the fans were wiped on the last day of June. On how many occasions were the windows and fans wiped together on the same day in July? [?]",
      "answer0": "3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 115,
      "difficulty_id": 3,
      "explanation": "Both are wiped together every common multiple of 3 and 9, i.e. every 9 days (LCM of 3 and 9 = 9). Starting from 30 June, the next together-days are 9 Jul, 18 Jul, 27 Jul — 3 occasions in July.",
      "hints": ["They coincide every 9 days (LCM of 3 and 9)", "Count the multiples of 9 days that fall in July"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q11. Key: 3"
    },
    {
      "n": 42,
      "type_id": 2,
      "question": "Mr Tan went on a cruise with his wife and 4 children. A child ticket cost $170 less than an adult ticket. He paid $1600 for all the tickets. What was the cost of a child ticket? Ans: $[?]",
      "answer0": "210",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "There are 2 adults and 4 children = 6 tickets. If all 6 were adult price, replace the 4 child tickets: 4 × $170 = $680 less. So 6 adult tickets = $1600 + $680 = $2280. One adult = $2280 ÷ 6 = $380. Child = $380 - $170 = $210.",
      "hints": ["2 adults + 4 children = 6 tickets", "Add back 4 × $170 to make all adult prices, then divide by 6"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q12. Key: $210"
    },
    {
      "n": 43,
      "type_id": 2,
      "question": "David's water bottle was 7/12 filled with water. After he had drunk 270 ml of water from the bottle, it became 1/3 full. What was the capacity of David's water bottle? Ans: [?] ml",
      "answer0": "1080",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "1/3 = 4/12. The water drunk = 7/12 - 4/12 = 3/12 = 1/4 of the bottle = 270 ml. So 1/12 = 270 ÷ 3 = 90 ml. Full capacity (12/12) = 90 × 12 = 1080 ml.",
      "hints": ["Convert 1/3 to twelfths (4/12)", "270 ml corresponds to 3/12; find 12/12"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Paper 2 Q13. Key: 1080 ml"
    },
    {
      "n": 44,
      "type_id": 2,
      "question": "3 identical rectangles of length 11 cm and breadth 6 cm are placed as shown. One of the rectangles overlaps the other 2 rectangles. (a) Find the area of the shaded part. (b) Find the area of the unshaded part. Ans (a): [?] cm² Ans (b): [?] cm²",
      "answer0": "36",
      "answer1": "126",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "(a) The shaded overlap is where the vertical rectangle (breadth 6 cm) crosses; shaded area = 6 × 6 = 36 cm². (b) Total area of 3 rectangles = 3 × (6 × 11) = 198 cm². Subtract the two overlaps counted twice: 198 - 36 - 36 = 126 cm² unshaded.",
      "hints": ["Shaded overlap = 6 × 6", "Total of 3 rectangles minus the two overlap regions"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q14",
      "image_needed": true,
      "image_options": false,
      "image_file": "q44.png",
      "image_page": 21,
      "image_bbox": [0.24, 0.18, 0.72, 0.32],
      "image_loc": "two horizontal rectangles (11 cm) overlapped by one vertical rectangle (6 cm), shaded overlap region",
      "notes": "Paper 2 Q14, two parts. Key: (a) 36 cm², (b) 126 cm²"
    },
    {
      "n": 45,
      "type_id": 2,
      "question": "8 balloons were hung on a string, 1.4 m apart from each other. The next day, 3 balloons burst. The remaining balloons were rearranged so that they had an equal spacing between them. (a) What was the length of the string? (b) What was the new spacing between 2 balloons? Give your answer in centimetres. Ans (a): [?] m Ans (b): [?] cm",
      "answer0": "9.8",
      "answer1": "245",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 131,
      "difficulty_id": 3,
      "explanation": "(a) 8 balloons make 8 - 1 = 7 gaps. Length = 7 × 1.4 = 9.8 m. (b) After 3 burst, 8 - 3 = 5 balloons remain, making 5 - 1 = 4 gaps. New spacing = 9.8 ÷ 4 = 2.45 m = 245 cm.",
      "hints": ["8 balloons make 7 gaps", "5 balloons make 4 gaps; convert metres to cm"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q15",
      "image_needed": true,
      "image_options": false,
      "image_file": "q45.png",
      "image_page": 22,
      "image_bbox": [0.16, 0.13, 0.86, 0.26],
      "image_loc": "string with balloons spaced 1.4 m apart, start and end of string marked",
      "notes": "Paper 2 Q15, two parts. Key: (a) 9.8 m, (b) 245 cm"
    },
    {
      "n": 46,
      "type_id": 2,
      "question": "The line graph shows Mindy's savings from March to July. (a) What was the difference between her savings in April and June? (b) What was her total savings from March to July? (c) What fraction of her total savings from March to July was her savings in July? Give your answer in its simplest form. Ans (a): $[?] Ans (b): $[?] Ans (c): [?]",
      "answer0": "8",
      "answer1": "77",
      "answer2": "2/7",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 147,
      "difficulty_id": 3,
      "explanation": "Reading the graph: March $13, April $18, May $14, June $10, July $22. (a) April - June = 18 - 10 = $8. (b) Total = 13 + 18 + 14 + 10 + 22 = $77. (c) July fraction = 22/77 = 2/7 (divide by 11).",
      "hints": ["Read each month's saving from the line graph", "(c) Simplify 22/77"],
      "source": "Rulang 2022 P4 Semestral Assessment 2 P2 Q16",
      "image_needed": true,
      "image_options": false,
      "image_file": "q46.png",
      "image_page": 23,
      "image_bbox": [0.2, 0.14, 0.84, 0.42],
      "image_loc": "line graph 'Mindy's Savings' March to July",
      "notes": "Paper 2 Q16, three parts. Key: (a) $8, (b) $77, (c) 2/7"
    }
  ]
}