{
 "paper": {
  "school": "Raffles Girls",
  "year": 2022,
  "level": "P4",
  "label": "Weighted Assessment 2",
  "source_prefix": "Raffles Girls 2022 P4 Weighted Assessment 2",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "A quarter of a complete turn is equal to [?].",
   "answer0": "90°",
   "answer1": "180°",
   "answer2": "270°",
   "answer3": "360°",
   "correct_answer": 0,
   "skill_id": 141,
   "difficulty_id": 1,
   "explanation": "A complete turn is 360°. A quarter turn is $$\\frac{1}{4}$$ of 360° = 360° ÷ 4 = 90°.",
   "hints": [
    "A complete turn = 360°.",
    "A quarter means divide by 4."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 (90°)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "ABCD is a rectangle. ∠x is 3 times of ∠y, and ∠y is 2 times of ∠z. Find ∠x.",
   "answer0": "10°",
   "answer1": "20°",
   "answer2": "50°",
   "answer3": "60°",
   "correct_answer": 3,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Angle ADC of a rectangle is 90°, and x + y + z = 90°. Let z = 1 unit, then y = 2 units, x = 3 × y = 6 units. Total = 6 + 2 + 1 = 9 units = 90°, so 1 unit = 10°. ∠x = 6 units = 60°.",
   "hints": [
    "The three angles at D add up to the right angle 90°.",
    "Write each angle in units: z = 1, y = 2, x = 6."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q2",
   "image_needed": true,
   "image_options": false,
   "image_file": "q2.png",
   "image_page": 1,
   "image_bbox": [
    0.26,
    0.56,
    0.58,
    0.71
   ],
   "image_loc": "rectangle ABCD with diagonals from D labelled x, y, z, lower middle of page 1",
   "notes": "Key: option 4 (60°)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "The minute hand of a clock moves through [?] in half an hour.",
   "answer0": "90°",
   "answer1": "180°",
   "answer2": "270°",
   "answer3": "360°",
   "correct_answer": 1,
   "skill_id": 141,
   "difficulty_id": 1,
   "explanation": "The minute hand sweeps a full circle (360°) in one hour. In half an hour it moves $$\\frac{1}{2}$$ of 360° = 180°.",
   "hints": [
    "The minute hand makes a full turn (360°) every hour.",
    "Half an hour is half of a full turn."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (180°)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "ABCD is a rectangle. Find ∠x.",
   "answer0": "27°",
   "answer1": "67°",
   "answer2": "77°",
   "answer3": "157°",
   "correct_answer": 1,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Angle ADC of a rectangle is 90°. The 23° angle and ∠x together make up this right angle, so ∠x = 90° − 23° = 67°.",
   "hints": [
    "The corner of a rectangle is a right angle (90°).",
    "The 23° and x together form the right angle at D."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q4",
   "image_needed": true,
   "image_options": false,
   "image_file": "q4.png",
   "image_page": 2,
   "image_bbox": [
    0.2,
    0.29,
    0.62,
    0.42
   ],
   "image_loc": "rectangle ABCD with 23° angle at A and x at D, upper-middle of page 2",
   "notes": "Key: option 2 (67°)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "Lorna is standing at Point X and facing South-West. She makes a $$\\frac{3}{4}$$ turn in an anti-clockwise direction. Which direction is she facing now?",
   "answer0": "North",
   "answer1": "East",
   "answer2": "North-West",
   "answer3": "South-East",
   "correct_answer": 2,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "A $$\\frac{3}{4}$$ turn is 270°. Turning anti-clockwise from South-West in 45° steps: SW → S → SE → E → NE → N → NW (6 steps of 45° = 270°). She now faces North-West.",
   "hints": [
    "A $$\\frac{3}{4}$$ turn = 270° = six 45° steps on an 8-point compass.",
    "Anti-clockwise from SW: SW, S, SE, E, NE, N, NW."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 2,
   "image_bbox": [
    0.38,
    0.57,
    0.65,
    0.73
   ],
   "image_loc": "8-point compass rose centred on X, lower-middle of page 2",
   "notes": "Key: option 3 (North-West). Compass image aids but question is solvable without it."
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "Study the figure. Using a protractor, measure ∠LPO.",
   "answer0": "102",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Place the protractor's centre on vertex P with the baseline along PO. Read the scale where line PL crosses: ∠LPO = 102°.",
   "hints": [
    "Put the protractor centre on the vertex P.",
    "Line up one arm (PO) with the 0° line, then read where PL falls."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": "q6.png",
   "image_page": 3,
   "image_bbox": [
    0.3,
    0.24,
    0.66,
    0.42
   ],
   "image_loc": "pentagon LMNOP, upper-middle of page 3",
   "notes": "Key: 102°. Answer typed in degrees (no unit symbol in input)."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "Measure ∠k.",
   "answer0": "59",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 1,
   "explanation": "Place the protractor centre on the vertex of ∠k with the baseline along the horizontal line. Read where the slanted arm crosses: ∠k = 59°.",
   "hints": [
    "Centre the protractor on the vertex.",
    "Line up the horizontal arm with 0° and read the other arm."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 3,
   "image_bbox": [
    0.2,
    0.46,
    0.52,
    0.64
   ],
   "image_loc": "single acute angle k on a horizontal line, middle-left of page 3",
   "notes": "Key: 59°."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "Measure ∠ABC.",
   "answer0": "88",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 1,
   "explanation": "Place the protractor centre on vertex B with the baseline along BC. Read where arm BA crosses: ∠ABC = 88°.",
   "hints": [
    "Centre the protractor on vertex B.",
    "Line up one arm with 0° and read the other."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q8",
   "image_needed": true,
   "image_options": false,
   "image_file": "q8.png",
   "image_page": 3,
   "image_bbox": [
    0.2,
    0.66,
    0.52,
    0.84
   ],
   "image_loc": "angle ABC with vertex B, lower-left of page 3",
   "notes": "Key: 88°."
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "The figure is a square. Calculate the value of ∠ACD. *Do not measure.",
   "answer0": "45",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "The diagonal AC of a square bisects the right-angle corner at C. So ∠ACD = 90° ÷ 2 = 45°.",
   "hints": [
    "Each corner of a square is 90°.",
    "The diagonal splits the corner angle into two equal parts."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q9",
   "image_needed": true,
   "image_options": false,
   "image_file": "q9.png",
   "image_page": 4,
   "image_bbox": [
    0.2,
    0.2,
    0.42,
    0.32
   ],
   "image_loc": "square ABCD with diagonal AC drawn, upper-left of page 4",
   "notes": "Key: 90÷2 = 45°."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "I am facing East. Which direction will I face if I make a $$\\frac{3}{4}$$ turn to my right?",
   "answer0": "North",
   "answer1": "South",
   "answer2": "East",
   "answer3": "West",
   "correct_answer": 0,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "A $$\\frac{3}{4}$$ turn to the right is 270° clockwise. From East, clockwise in 90° steps: E → S → W → N. So I now face North.",
   "hints": [
    "To the right means clockwise; $$\\frac{3}{4}$$ turn = 270°.",
    "From East clockwise: E, S, W, N."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: North. Original is an open-ended fill-in; converted to MCQ with 4 compass-direction options (word answer)."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "In the figure, one of the angles is smaller than a right angle. Name that angle.",
   "answer0": "∠a",
   "answer1": "∠b",
   "answer2": "∠c",
   "answer3": "∠d",
   "correct_answer": 0,
   "skill_id": 139,
   "difficulty_id": 2,
   "explanation": "An angle smaller than a right angle is an acute angle (less than 90°). In the figure, ∠a is the only acute angle (∠b, ∠c and ∠d are right angles or obtuse). The answer is ∠a.",
   "hints": [
    "Smaller than a right angle means less than 90° (acute).",
    "Compare each marked angle against a square corner."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": "q11.png",
   "image_page": 5,
   "image_bbox": [
    0.36,
    0.24,
    0.62,
    0.35
   ],
   "image_loc": "quadrilateral with angles a, b, c, d marked, upper-middle of page 5",
   "notes": "Key: ∠a. Original open-ended; converted to MCQ over the four labelled angles (letter/word answer)."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "Charlie is walking from Point A to Point B. In which direction is he walking towards?",
   "answer0": "North-East",
   "answer1": "North-West",
   "answer2": "South-East",
   "answer3": "South-West",
   "correct_answer": 2,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "With the North arrow pointing up, A is at the top-left and B is at the bottom-right of the grid. Moving down-and-to-the-right means walking towards the South-East.",
   "hints": [
    "North is up, so down is South and right is East.",
    "A to B goes down and to the right."
   ],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q12",
   "image_needed": true,
   "image_options": false,
   "image_file": "q12.png",
   "image_page": 5,
   "image_bbox": [
    0.28,
    0.46,
    0.58,
    0.58
   ],
   "image_loc": "3x3 grid with line from A (top-left) to B (bottom-right) and a North arrow, middle of page 5",
   "notes": "Key: South-East. Original open-ended; converted to MCQ with 4 compass options (word answer)."
  },
  {
   "n": 13,
   "type_id": 0,
   "question": "Using a protractor and ruler, construct and label an angle of 120° in the box.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Draw a ray, place the protractor centre on its endpoint, mark 120°, then draw the second ray and label the angle 120°.",
   "hints": [],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Construct/draw task — no value answer. type_id 0, skipped on insert. Key: construct a 120° angle."
  },
  {
   "n": 14,
   "type_id": 0,
   "question": "Draw and label a square EFGH of side 6 cm.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 1,
   "explanation": "On the 1 cm grid, draw a square with all four sides 6 cm long (6 grid squares), labelling the corners E, F, G, H.",
   "hints": [],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Draw task on grid — no value answer. type_id 0, skipped on insert. Key: 6 cm × 6 cm square EFGH."
  },
  {
   "n": 15,
   "type_id": 0,
   "question": "Draw and label a rectangle ABCD in which AB = 4 cm and BC = 6 cm.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 1,
   "explanation": "On the 1 cm grid, draw a rectangle with AB = 4 cm and BC = 6 cm, labelling the corners A, B, C, D in order.",
   "hints": [],
   "source": "Raffles Girls 2022 P4 Weighted Assessment 2 Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Draw task on grid — no value answer. type_id 0, skipped on insert. Key: rectangle ABCD, AB=4 cm, BC=6 cm."
  }
 ]
}