{
 "paper": {
  "school": "Red Swastika",
  "year": 2022,
  "level": "P4",
  "label": "Weighted Assessment 1",
  "source_prefix": "Red Swastika 2022 P4 Weighted Assessment 1",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "57 809 = 50 000 + 7000 + [?] + 9<br>What is the missing number in the blank?",
   "answer0": "8",
   "answer1": "80",
   "answer2": "800",
   "answer3": "8000",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "57 809 = 50 000 + 7000 + 800 + 9. The 8 is in the hundreds place, so the missing number is 800.",
   "hints": [
    "Look at the place value of each digit in 57 809.",
    "The 8 is in the hundreds place."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q1 = option 3 (800)."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "In 43 120, the digit [?] is in the hundreds place.",
   "answer0": "1",
   "answer1": "2",
   "answer2": "3",
   "answer3": "4",
   "correct_answer": 0,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "In 43 120: 4 ten-thousands, 3 thousands, 1 hundred, 2 tens, 0 ones. The digit in the hundreds place is 1.",
   "hints": [
    "Read the number from the right: ones, tens, hundreds.",
    "The third digit from the right is the hundreds digit."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q2 = option 1 (1)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "In which of the following numbers does the digit '3' have the greatest value?",
   "answer0": "20 375",
   "answer1": "53 870",
   "answer2": "70 403",
   "answer3": "92 534",
   "correct_answer": 1,
   "skill_id": 105,
   "difficulty_id": 2,
   "explanation": "Value of 3 in each: 20 375 → 300; 53 870 → 3000; 70 403 → 3; 92 534 → 30. The greatest is 3000 in 53 870.",
   "hints": [
    "Find the place value of the digit 3 in each number.",
    "Compare the values: 300, 3000, 3, 30."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q3 = option 2 (53 870)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Which one of the following is the first common multiple of 3 and 9?",
   "answer0": "1",
   "answer1": "9",
   "answer2": "18",
   "answer3": "27",
   "correct_answer": 1,
   "skill_id": 115,
   "difficulty_id": 2,
   "explanation": "Multiples of 3: 3, 6, 9, ... Multiples of 9: 9, 18, ... The smallest common multiple is 9.",
   "hints": [
    "List the multiples of 3 and the multiples of 9.",
    "Find the smallest number that appears in both lists."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q4 = option 2 (9)."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "What is the product of 672 and 34?",
   "answer0": "706",
   "answer1": "4704",
   "answer2": "20 648",
   "answer3": "22 848",
   "correct_answer": 3,
   "skill_id": 116,
   "difficulty_id": 2,
   "explanation": "672 × 34 = 672 × 30 + 672 × 4 = 20 160 + 2688 = 22 848.",
   "hints": [
    "Product means multiply.",
    "672 × 34 = 672 × 30 + 672 × 4."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q5 = option 4 (22 848)."
  },
  {
   "n": 6,
   "type_id": 1,
   "question": "What is the time shown on the clock?",
   "answer0": "10 minutes to 3",
   "answer1": "10 minutes to 2",
   "answer2": "10 minutes past 2",
   "answer3": "10 minutes past 3",
   "correct_answer": 0,
   "skill_id": 88,
   "difficulty_id": 2,
   "explanation": "The minute hand points to 10 (50 minutes / 10 minutes to the next hour) and the hour hand is approaching 3, so the time is 10 minutes to 3 (2.50).",
   "hints": [
    "The minute hand on 10 means 50 minutes, i.e. 10 minutes to the next hour.",
    "Check which hour the hour hand is heading towards."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": "q6.png",
   "image_page": 4,
   "image_bbox": [
    0.32,
    0.13,
    0.46,
    0.25
   ],
   "image_loc": "clock face, upper-left area below the question text on page 4",
   "notes": "Key Q6 = option 1 (10 minutes to 3)."
  },
  {
   "n": 7,
   "type_id": 1,
   "question": "EFGH is a square. Which of the following incorrectly describes the square?",
   "answer0": "It has four equal sides.",
   "answer1": "It has four right angles.",
   "answer2": "Its opposite sides are equal.",
   "answer3": "It has only one pair of parallel lines.",
   "correct_answer": 3,
   "skill_id": 143,
   "difficulty_id": 1,
   "explanation": "A square has two pairs of parallel sides, not one. So 'It has only one pair of parallel lines' is the incorrect description.",
   "hints": [
    "Recall the properties of a square.",
    "How many pairs of parallel sides does a square have?"
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 4,
   "image_bbox": [
    0.33,
    0.39,
    0.57,
    0.52
   ],
   "image_loc": "square EFGH diagram, right of the question text on page 4",
   "notes": "Key Q7 = option 4. Asks for the INCORRECT statement."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "Name the marked angle.",
   "answer0": "∠ABC",
   "answer1": "∠ADC",
   "answer2": "∠BCD",
   "answer3": "∠DAB",
   "correct_answer": 3,
   "skill_id": 139,
   "difficulty_id": 2,
   "explanation": "The marked angle (arc) is at vertex A, between rays AB and AD, so it is named ∠DAB.",
   "hints": [
    "The middle letter of an angle's name is the vertex.",
    "The marked arc is at point A."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q8",
   "image_needed": true,
   "image_options": false,
   "image_file": "q8.png",
   "image_page": 4,
   "image_bbox": [
    0.26,
    0.62,
    0.55,
    0.73
   ],
   "image_loc": "figure with points A, B, C, D and marked angle at A, below question 8 on page 4",
   "notes": "Key Q8 = option 4 (∠DAB)."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "The time on a clock is 9.25 p.m. What time will it be if the minute hand turns 180° clockwise?",
   "answer0": "9.40 p.m.",
   "answer1": "9.55 p.m.",
   "answer2": "10.10 p.m.",
   "answer3": "10.25 p.m.",
   "correct_answer": 1,
   "skill_id": 141,
   "difficulty_id": 2,
   "explanation": "A 180° turn is half a turn = 30 minutes. 9.25 p.m. + 30 min = 9.55 p.m.",
   "hints": [
    "A 180° turn of the minute hand is half a full turn.",
    "Half an hour = 30 minutes; add it to 9.25 p.m."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q9 = option 2 (9.55 p.m.). Clock image is decorative; the question is solvable from the text alone."
  },
  {
   "n": 10,
   "type_id": 1,
   "question": "Alice is standing at the point marked A in the diagram. She is facing the Club House. Where will she be facing when she turns 135° clockwise?",
   "answer0": "School",
   "answer1": "Library",
   "answer2": "Food Centre",
   "answer3": "Shopping Centre",
   "correct_answer": 2,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "Each of the 8 directions is 45° apart. 135° clockwise = 3 steps clockwise from Club House: Club House → Playground → Library → Food Centre. She faces the Food Centre.",
   "hints": [
    "The 8 places are 45° apart, so 135° = 3 positions.",
    "Move 3 positions clockwise from Club House."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q10",
   "image_needed": true,
   "image_options": false,
   "image_file": "q10.png",
   "image_page": 5,
   "image_bbox": [
    0.27,
    0.37,
    0.72,
    0.56
   ],
   "image_loc": "8-direction compass diagram with point A in centre, shared by Q10 and Q11 on page 5",
   "notes": "Key Q10 = option 3 (Food Centre). 8-point compass diagram (clockwise from MRT: Club House, Playground, Library, Food Centre, Market, Shopping Centre, School)."
  },
  {
   "n": 11,
   "type_id": 1,
   "question": "Bryan was standing at the point marked A in the diagram. After making a $$\\frac{3}{4}$$-turn in an anticlockwise direction, Bryan found himself facing south. Which direction was he facing at first?",
   "answer0": "north",
   "answer1": "south",
   "answer2": "east",
   "answer3": "west",
   "correct_answer": 2,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "A $$\\frac{3}{4}$$-turn anticlockwise is 270° anticlockwise, which is the same as 90° clockwise. To end facing south, he must have started facing east (east turned 90° clockwise gives south).",
   "hints": [
    "A $$\\frac{3}{4}$$-turn anticlockwise = 270° anticlockwise = 90° clockwise.",
    "Work backwards: which start, after that turn, faces south?"
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q11 = option 3 (east). Uses the same compass diagram as Q10 but solvable from directions alone."
  },
  {
   "n": 12,
   "type_id": 1,
   "question": "A number when rounded to the nearest hundred is 6000. What is the largest possible number?",
   "answer0": "5949",
   "answer1": "5999",
   "answer2": "6049",
   "answer3": "6499",
   "correct_answer": 2,
   "skill_id": 109,
   "difficulty_id": 2,
   "explanation": "Numbers rounding to 6000 (nearest hundred) range from 5950 to 6049. The largest is 6049.",
   "hints": [
    "Which numbers round to 6000 to the nearest hundred?",
    "The range is 5950 to 6049; pick the largest."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q12 = option 3 (6049)."
  },
  {
   "n": 13,
   "type_id": 1,
   "question": "Charles had 430 cards. When he arranged them equally onto 8 pages of an album, he did not have enough space for some cards. How many cards were not in the album?",
   "answer0": "6",
   "answer1": "5",
   "answer2": "3",
   "answer3": "4",
   "correct_answer": 0,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "430 ÷ 8 = 53 remainder 6. So 53 cards fit on each page (424 in total) and 6 cards were left out.",
   "hints": [
    "Divide 430 by 8 and look at the remainder.",
    "The remainder is the number of cards that don't fit."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q13 = option 1 (6)."
  },
  {
   "n": 14,
   "type_id": 1,
   "question": "Using a protractor, which angle gives a measurement of 45° in the figure?",
   "answer0": "∠BCD",
   "answer1": "∠CDE",
   "answer2": "∠BAE",
   "answer3": "∠AED",
   "correct_answer": 3,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "By inspection of the figure, ∠AED at vertex E measures 45° (an acute angle, half a right angle). The other marked angles are larger.",
   "hints": [
    "45° is half of a right angle.",
    "Compare each angle in the figure to a right angle (90°)."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q14",
   "image_needed": true,
   "image_options": false,
   "image_file": "q14.png",
   "image_page": 6,
   "image_bbox": [
    0.22,
    0.45,
    0.62,
    0.57
   ],
   "image_loc": "parallelogram-like figure with points A, B, C, D, E below question 14 on page 6",
   "notes": "Key Q14 = option 4 (∠AED)."
  },
  {
   "n": 15,
   "type_id": 1,
   "question": "In the figure, HIJK is a rectangle. Find the difference between ∠y and ∠z.",
   "answer0": "24°",
   "answer1": "28°",
   "answer2": "62°",
   "answer3": "118°",
   "correct_answer": 2,
   "skill_id": 197,
   "difficulty_id": 3,
   "explanation": "∠H is a right angle (90°). The angles at H are y, 43° and 19°, so ∠y = 90 − 43 − 19 = 28°. ∠z at corner I is a right angle = 90°. Difference = 90 − 28 = 62°.",
   "hints": [
    "Each corner of a rectangle is 90°.",
    "∠y = 90 − 43 − 19; ∠z = 90. Find 90 − ∠y."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q15",
   "image_needed": true,
   "image_options": false,
   "image_file": "q15.png",
   "image_page": 7,
   "image_bbox": [
    0.35,
    0.14,
    0.66,
    0.26
   ],
   "image_loc": "rectangle HIJK with angles 43°, 19°, y and z marked, below question 15 on page 7",
   "notes": "Key Q15 = option 3 (62°)."
  },
  {
   "n": 16,
   "type_id": 1,
   "question": "In the figure, QRST is a square and PQUV is a rectangle. Find the length of TU.",
   "answer0": "12 cm",
   "answer1": "11 cm",
   "answer2": "7 cm",
   "answer3": "4 cm",
   "correct_answer": 1,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "PQUV is a rectangle with PV = 15 cm, so RS (= QRST square side, vertical) lines up; QR = PQ − PV... Using the figure: QRST is a square of side 15 − ? . VU = 18 cm and PQ = 22 cm, so the square's side = 22 − 18 = 4 cm. Then TU = 15 − 4 = 11 cm.",
   "hints": [
    "VU = 18 cm and PQ = 22 cm; the square's side = 22 − 18.",
    "TU = the rectangle's breadth (15 cm) minus the square's side."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q16",
   "image_needed": true,
   "image_options": false,
   "image_file": "q16.png",
   "image_page": 7,
   "image_bbox": [
    0.28,
    0.39,
    0.72,
    0.52
   ],
   "image_loc": "composite figure of rectangle PQUV and square QRST with 22 cm, 15 cm, 18 cm marked, below question 16 on page 7",
   "notes": "Key Q16 = option 2 (11 cm)."
  },
  {
   "n": 17,
   "type_id": 1,
   "question": "The figure is made up of Rectangle ABCD and Square CEFG. ∠GCH is 37°. Find the sum of ∠x and ∠y.",
   "answer0": "53°",
   "answer1": "106°",
   "answer2": "127°",
   "answer3": "143°",
   "correct_answer": 1,
   "skill_id": 230,
   "difficulty_id": 3,
   "explanation": "At C the rectangle gives ∠BCD = 90° and the square gives ∠GCE = 90°. ∠x + 37° + ∠y, together with the overlapping right angles, gives ∠x + ∠y = (90 − 37) + (90 − 37) = 53 + 53 = 106°.",
   "hints": [
    "∠BCD (rectangle) = 90° and ∠GCE (square) = 90°.",
    "∠x = 90 − 37 and ∠y = 90 − 37; add them."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q17",
   "image_needed": true,
   "image_options": false,
   "image_file": "q17.png",
   "image_page": 7,
   "image_bbox": [
    0.32,
    0.63,
    0.72,
    0.86
   ],
   "image_loc": "tilted rectangle ABCD with square CEFG and angles x, y, 37° marked at C, below question 17 on page 7",
   "notes": "Key Q17 = option 2 (106°)."
  },
  {
   "n": 18,
   "type_id": 1,
   "question": "There were 2389 more yellow marbles than blue marbles in a box. Another 398 yellow marbles and 594 blue marbles were put into the box. How many more yellow marbles than blue marbles were there in the box in the end?",
   "answer0": "196",
   "answer1": "1991",
   "answer2": "2193",
   "answer3": "2585",
   "correct_answer": 2,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Adding 398 yellow and 594 blue changes the difference by 398 − 594 = −196. New difference = 2389 − 196 = 2193.",
   "hints": [
    "The starting difference is 2389.",
    "Adding more blue (594) than yellow (398) reduces the gap by 594 − 398 = 196."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q18 = option 3 (2193)."
  },
  {
   "n": 19,
   "type_id": 1,
   "question": "A rectangular piece of paper is folded along the dotted lines. Find the breadth of the rectangular piece of paper.",
   "answer0": "12 cm",
   "answer1": "10 cm",
   "answer2": "7 cm",
   "answer3": "4 cm",
   "correct_answer": 1,
   "skill_id": 143,
   "difficulty_id": 3,
   "explanation": "After folding, the visible height is 3 cm and the folded-over flap is 4 cm. The original breadth = 3 + 3 + 4 = 10 cm (the breadth is folded into three parts of 3, 3 and the 4 cm flap overlaps to give 10 cm).",
   "hints": [
    "Look at how the breadth is split by the folds.",
    "Add the 3 cm folded portion and the 4 cm flap to reconstruct the breadth."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q19",
   "image_needed": true,
   "image_options": false,
   "image_file": "q19.png",
   "image_page": 8,
   "image_bbox": [
    0.28,
    0.3,
    0.86,
    0.43
   ],
   "image_loc": "two folded-paper diagrams (flat with breadth/length labels and folded with 3 cm, 4 cm) below question 19 on page 8",
   "notes": "Key Q19 = option 2 (10 cm)."
  },
  {
   "n": 20,
   "type_id": 1,
   "question": "The figure is made up of 4 similar rectangles. Find the perimeter of the figure.",
   "answer0": "54 cm",
   "answer1": "108 cm",
   "answer2": "144 cm",
   "answer3": "162 cm",
   "correct_answer": 1,
   "skill_id": 138,
   "difficulty_id": 3,
   "explanation": "Each small rectangle has its longer side 9 cm marked. The big figure is 4 rectangles wide and 2 tall. Long side = 9 cm, so width = 4 × 9 = 36 cm; the breadth of each rectangle pairs so height = 2 × 9 = 18 cm. Perimeter = 2 × (36 + 18) = 108 cm.",
   "hints": [
    "Each rectangle's long side is 9 cm.",
    "Find the overall length and breadth, then perimeter = 2 × (length + breadth)."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q20",
   "image_needed": true,
   "image_options": false,
   "image_file": "q20.png",
   "image_page": 8,
   "image_bbox": [
    0.31,
    0.55,
    0.71,
    0.73
   ],
   "image_loc": "grid of 4 (2x4) similar rectangles with a 9 cm width arrow, below question 20 on page 8",
   "notes": "Key Q20 = option 2 (108 cm)."
  },
  {
   "n": 21,
   "type_id": 1,
   "question": "Write 90 712 in words.",
   "answer0": "ninety thousand, seven hundred and twelve",
   "answer1": "nine thousand, seven hundred and twelve",
   "answer2": "ninety thousand, seven hundred and twenty",
   "answer3": "ninety thousand and seventy-twelve",
   "correct_answer": 0,
   "skill_id": 106,
   "difficulty_id": 1,
   "explanation": "90 712 = 90 thousands, 7 hundreds, 1 ten, 2 ones = ninety thousand, seven hundred and twelve.",
   "hints": [
    "Break the number into thousands and the rest.",
    "90 000 = ninety thousand; 712 = seven hundred and twelve."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q21",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Original is open-response 'write in words'. Converted to MCQ per spec (word answers must be MCQ). Key answer: ninety thousand, seven hundred and twelve."
  },
  {
   "n": 22,
   "type_id": 2,
   "question": "Some factors of 28 are 1, 2, 4 and 28. What are the other factors? [?] and [?]",
   "answer0": "7",
   "answer1": "14",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 111,
   "difficulty_id": 2,
   "explanation": "Factors of 28: 1, 2, 4, 7, 14, 28. The ones not listed are 7 and 14.",
   "hints": [
    "Find all numbers that divide 28 exactly.",
    "28 = 4 × 7 = 2 × 14, so 7 and 14 are factors."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q22",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q22 = 7 and 14. Two-blank FIB."
  },
  {
   "n": 23,
   "type_id": 2,
   "question": "What is the quotient when 6039 is divided by 7? [?]",
   "answer0": "862",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "6039 ÷ 7 = 862 remainder 5. The quotient is 862.",
   "hints": [
    "Quotient is the whole-number result of the division.",
    "7 × 862 = 6034, with remainder 5."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q23",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q23 = 862."
  },
  {
   "n": 24,
   "type_id": 2,
   "question": "Use the protractor to find ∠QRS. [?]",
   "answer0": "153",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Reading the protractor, ray RS is at 27° from the right baseline RT, so ∠QRS (measured from RQ) = 180 − 27 = 153°.",
   "hints": [
    "Place the protractor's centre at R, baseline along QT.",
    "Read the scale that starts from 0 at RQ."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q24",
   "image_needed": true,
   "image_options": false,
   "image_file": "q24.png",
   "image_page": 10,
   "image_bbox": [
    0.24,
    0.55,
    0.78,
    0.78
   ],
   "image_loc": "protractor with baseline Q-R-T and ray RS marked, below question 24 on page 10",
   "notes": "Key Q24 = 153 (degrees). Answer unit is degrees."
  },
  {
   "n": 25,
   "type_id": 2,
   "question": "Study the shapes. Which shapes have all the properties of a rectangle? [?] and [?]",
   "answer0": "A",
   "answer1": "C",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "A rectangle has 4 right angles and opposite sides equal and parallel. Shape A (rectangle) and shape C (a tilted rectangle) both satisfy this. B is a triangle, D a trapezium, E a rhombus/diamond.",
   "hints": [
    "A rectangle needs 4 right angles and 2 pairs of equal parallel sides.",
    "Check each lettered shape against those properties."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q25",
   "image_needed": true,
   "image_options": false,
   "image_file": "q25.png",
   "image_page": 11,
   "image_bbox": [
    0.24,
    0.14,
    0.86,
    0.27
   ],
   "image_loc": "row of five labelled shapes A, B, C, D, E below question 25 on page 11",
   "notes": "Key Q25 = A and C. Letter answers permitted here as a definite set; two-blank FIB."
  },
  {
   "n": 26,
   "type_id": 2,
   "question": "David has a piece of square paper. He folded it along the dotted line. Find ∠h. [?]",
   "answer0": "42",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 144,
   "difficulty_id": 3,
   "explanation": "Folding reflects the 24° angle, so two 24° angles are formed: 24 × 2 = 48°. The corner of the square is 90°, so ∠h = 90 − 48 = 42°.",
   "hints": [
    "A fold creates a mirror image, doubling the 24° angle.",
    "Subtract the doubled angle from the 90° corner: 90 − 24 × 2."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q26",
   "image_needed": true,
   "image_options": false,
   "image_file": "q26.png",
   "image_page": 11,
   "image_bbox": [
    0.22,
    0.34,
    0.78,
    0.53
   ],
   "image_loc": "two diamond/square fold diagrams (before with 24°, after with ∠h) below question 26 on page 11",
   "notes": "Key Q26 working: 24×2=48, 90−48=42. Answer = 42 (degrees)."
  },
  {
   "n": 27,
   "type_id": 1,
   "question": "Joe took 20 minutes to draw a picture and another 1 hour 30 minutes to colour the picture. He completed it at 12 noon. At what time did he start to draw his picture?",
   "answer0": "10.10 a.m.",
   "answer1": "10.30 a.m.",
   "answer2": "10.50 a.m.",
   "answer3": "11.10 a.m.",
   "correct_answer": 0,
   "skill_id": 92,
   "difficulty_id": 2,
   "explanation": "Total time = 20 min + 1 h 30 min = 1 h 50 min. 12.00 noon − 1 h 50 min = 10.10 a.m.",
   "hints": [
    "Add the two durations: 20 min + 1 h 30 min.",
    "Count back that total from 12 noon."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q27",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Original open-response time answer. Converted to MCQ with plausible distractors. Key Q27 = 10.10 a.m. (option 1)."
  },
  {
   "n": 28,
   "type_id": 1,
   "question": "Point A is north of Point E. Point C is [?] of Point H.",
   "answer0": "north-east",
   "answer1": "south-east",
   "answer2": "south-west",
   "answer3": "north-west",
   "correct_answer": 1,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "On the grid, C is one step to the right (east) and one step down (south) from H, so C is south-east of H.",
   "hints": [
    "First fix directions: A is north of E, so up = north.",
    "From H, C is to the right and below → east and south."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q28",
   "image_needed": true,
   "image_options": false,
   "image_file": "q28.png",
   "image_page": 12,
   "image_bbox": [
    0.34,
    0.15,
    0.72,
    0.4
   ],
   "image_loc": "5x5 grid with labelled points A-H and a north arrow, shared by Q28-Q30 on page 12",
   "notes": "Original is open-response direction. Converted to MCQ (word/direction answer must be MCQ). Key Q28 = south-east. Grid diagram shared by Q28-30."
  },
  {
   "n": 29,
   "type_id": 1,
   "question": "Ethan was standing at Point D. He took 2 steps to the south and then another 2 steps to the east. What was his final position?",
   "answer0": "Point F",
   "answer1": "Point G",
   "answer2": "Point H",
   "answer3": "Point C",
   "correct_answer": 1,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "From D, 2 steps south then 2 steps east lands on Point G.",
   "hints": [
    "Locate D on the grid and move down 2, then right 2.",
    "South = down, east = right."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q29",
   "image_needed": true,
   "image_options": false,
   "image_file": "q29.png",
   "image_page": 12,
   "image_bbox": [
    0.34,
    0.15,
    0.72,
    0.4
   ],
   "image_loc": "5x5 grid with labelled points A-H and a north arrow (same diagram as Q28), page 12",
   "notes": "Original open-response 'Point ___'. Converted to MCQ. Key Q29 = Point G. Uses the shared grid diagram."
  },
  {
   "n": 30,
   "type_id": 1,
   "question": "Florence moved 3 steps to the south, then 2 steps to the west, then 1 step to the north, and ended up at Point D. What was her starting position?",
   "answer0": "Point A",
   "answer1": "Point B",
   "answer2": "Point H",
   "answer3": "Point E",
   "correct_answer": 1,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "Work backwards from D: reverse the moves (1 step south, 2 steps east, 3 steps north). This leads back to Point B.",
   "hints": [
    "Reverse each move starting from D.",
    "Undo: 1 step north → south, 2 west → east, 3 south → north."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q30",
   "image_needed": true,
   "image_options": false,
   "image_file": "q30.png",
   "image_page": 12,
   "image_bbox": [
    0.34,
    0.15,
    0.72,
    0.4
   ],
   "image_loc": "5x5 grid with labelled points A-H and a north arrow (same diagram as Q28), page 12",
   "notes": "Original open-response 'Point ___'. Converted to MCQ. Key Q30 = Point B. The move table is reproduced in the stem. Uses the shared grid diagram."
  },
  {
   "n": 31,
   "type_id": 2,
   "question": "Name an angle that is 46°. ∠[?]",
   "answer0": "ABF",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Reading the protractor, ray BF is at 46° from the baseline BA, so ∠ABF = 46°.",
   "hints": [
    "The vertex is at B (centre of the protractor).",
    "Find the ray at the 46° mark from the baseline."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q31",
   "image_needed": true,
   "image_options": false,
   "image_file": "q31.png",
   "image_page": 13,
   "image_bbox": [
    0.24,
    0.13,
    0.78,
    0.34
   ],
   "image_loc": "protractor with rays to A, B, C, D, E, F marked, below question 31 on page 13",
   "notes": "Key Q31 = ABF. FIB answer is the letters naming the angle (definite value)."
  },
  {
   "n": 32,
   "type_id": 2,
   "question": "In the number line, what is the number indicated by the arrow? [?]",
   "answer0": "475",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 108,
   "difficulty_id": 2,
   "explanation": "From 300 to 500 there are 8 equal intervals of 25 (200 ÷ 8 = 25). The arrow is at the 7th mark from 300: 300 + 7 × 25 = 475.",
   "hints": [
    "Find the size of one interval: (500 − 300) ÷ number of gaps.",
    "Count the intervals from 300 to the arrow."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q32",
   "image_needed": true,
   "image_options": false,
   "image_file": "q32.png",
   "image_page": 13,
   "image_bbox": [
    0.24,
    0.41,
    0.82,
    0.51
   ],
   "image_loc": "number line from 300 to 500 with an arrow, below question 32 on page 13",
   "notes": "Key Q32 = 475."
  },
  {
   "n": 33,
   "type_id": 2,
   "question": "What is the mass of the chicken? [?]",
   "answer0": "5",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 84,
   "difficulty_id": 2,
   "explanation": "The weighing scale needle points to 5, so the mass of the chicken is 5 kg.",
   "hints": [
    "Read where the needle on the dial points.",
    "The scale is marked in kg."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q33",
   "image_needed": true,
   "image_options": false,
   "image_file": "q33.png",
   "image_page": 13,
   "image_bbox": [
    0.28,
    0.58,
    0.55,
    0.8
   ],
   "image_loc": "chicken on a dial weighing scale (0-8 kg) below question 33 on page 13",
   "notes": "Key Q33 = 5. Answer unit is kg."
  },
  {
   "n": 34,
   "type_id": 2,
   "question": "In the figure, EFGH is a square. ∠EFJ = 19° and ∠GFK = 38°. Find ∠JFK. [?]",
   "answer0": "33",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 197,
   "difficulty_id": 3,
   "explanation": "∠EFG (corner of square) = 90°. ∠JFK = ∠EFG − ∠EFJ − ∠GFK = 90 − 19 − 38 = 33°.",
   "hints": [
    "The angle at corner F of the square is 90°.",
    "Subtract the two given angles: 90 − 19 − 38."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q34",
   "image_needed": true,
   "image_options": false,
   "image_file": "q34.png",
   "image_page": 14,
   "image_bbox": [
    0.22,
    0.14,
    0.55,
    0.32
   ],
   "image_loc": "square EFGH (drawn as a diamond) with lines FJ, FK and angles 19°, 38° marked, below question 34 on page 14",
   "notes": "Key Q34 working: 38+19=57, 90−57=33. Answer = 33 (degrees)."
  },
  {
   "n": 35,
   "type_id": 2,
   "question": "The sum of 2 numbers is 422. The difference between these 2 numbers is 96. What is the smaller number? [?]",
   "answer0": "163",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Smaller number = (sum − difference) ÷ 2 = (422 − 96) ÷ 2 = 326 ÷ 2 = 163.",
   "hints": [
    "Subtract the difference from the sum, then halve.",
    "(422 − 96) ÷ 2."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q35",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q35 working: 422−96=326, 326÷2=163. Answer = 163."
  },
  {
   "n": 36,
   "type_id": 2,
   "question": "Mrs Toh's age is the seventh multiple of 6. Her age is 3 times of her daughter's age. How old is her daughter? [?]",
   "answer0": "14",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Seventh multiple of 6 = 7 × 6 = 42, so Mrs Toh is 42. Daughter's age = 42 ÷ 3 = 14.",
   "hints": [
    "Seventh multiple of 6 is 7 × 6.",
    "Divide Mrs Toh's age by 3."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q36",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q36 working: 7×6=42, 42÷3=14. Answer = 14."
  },
  {
   "n": 37,
   "type_id": 0,
   "question": "Complete drawing the rectangle with the given lines.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "Given two sides meeting at a vertex on the grid, draw the two remaining sides parallel to them so the four corners form right angles and opposite sides are equal, completing the rectangle.",
   "hints": [],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q37",
   "image_needed": true,
   "image_options": false,
   "image_file": "q37.png",
   "image_page": 14,
   "image_bbox": [
    0.24,
    0.62,
    0.72,
    0.86
   ],
   "image_loc": "dotted square grid with two given line segments forming a corner, below question 37 on page 14",
   "notes": "Interactive draw/complete task with no definite single value answer — type_id 0 (skipped on insert). Answer key blank for Q37."
  },
  {
   "n": 38,
   "type_id": 2,
   "question": "What is the total number of bags sold from January to March? [?]",
   "answer0": "215",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "From the bar graph: Jan = 90, Feb = 55, Mar = 70. Total = 90 + 55 + 70 = 215.",
   "hints": [
    "Read the bar heights for Jan, Feb and Mar.",
    "Add the three values."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q38",
   "image_needed": true,
   "image_options": false,
   "image_file": "q38.png",
   "image_page": 15,
   "image_bbox": [
    0.24,
    0.18,
    0.86,
    0.4
   ],
   "image_loc": "bar graph 'Number of bags sold' Jan-Jun, shared by Q38 and Q39, page 15",
   "notes": "Key Q38 working: 90+70=160, 160+55=215. Answer = 215. Bar graph shared with Q39."
  },
  {
   "n": 39,
   "type_id": 1,
   "question": "The number of bags sold in January is twice the number of bags sold in [?].",
   "answer0": "February",
   "answer1": "March",
   "answer2": "April",
   "answer3": "May",
   "correct_answer": 3,
   "skill_id": 104,
   "difficulty_id": 2,
   "explanation": "January = 90 bags. Half of 90 = 45. The month with 45 bags is May, so January is twice May.",
   "hints": [
    "January sold 90 bags; find the month with half that (45).",
    "Read each bar and look for 45."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q39",
   "image_needed": true,
   "image_options": false,
   "image_file": "q39.png",
   "image_page": 15,
   "image_bbox": [
    0.24,
    0.18,
    0.86,
    0.4
   ],
   "image_loc": "bar graph 'Number of bags sold' Jan-Jun (same graph as Q38), page 15",
   "notes": "Original open-response month name. Converted to MCQ (word answer must be MCQ). Key Q39 = May. Note key shows May ~ 45 (half of Jan 90)."
  },
  {
   "n": 40,
   "type_id": 1,
   "question": "A repeated pattern is formed using the letters w to z. The first letters are w x y z w x y z w x y z w x y z w x ... What is the 48th letter?",
   "answer0": "w",
   "answer1": "x",
   "answer2": "y",
   "answer3": "z",
   "correct_answer": 3,
   "skill_id": 108,
   "difficulty_id": 2,
   "explanation": "The pattern w x y z repeats every 4 letters. 48 ÷ 4 = 12 exactly, so the 48th letter is the last in the block = z.",
   "hints": [
    "The block w x y z has length 4.",
    "48 ÷ 4 leaves no remainder, so it is the 4th letter z."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q40",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Original open-response letter answer. Converted to MCQ (letter answer must be MCQ). Key Q40 = z."
  },
  {
   "n": 41,
   "type_id": 2,
   "question": "1846 people attended a concert. There were 289 children. There were 349 more women than men. How many men were there? [?]",
   "answer0": "604",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Adults = 1846 − 289 = 1557. Removing the extra 349 women: 1557 − 349 = 1208, which is twice the number of men. Men = 1208 ÷ 2 = 604.",
   "hints": [
    "First find the adults: 1846 − 289.",
    "Subtract 349, then halve to get the men."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q41",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q41 working: 1846−289=1557, 1557−349=1208, 1208÷2=604. Answer = 604."
  },
  {
   "n": 42,
   "type_id": 2,
   "question": "Mr Ng baked an equal number of muffins daily from Monday to Thursday. He baked 800 muffins each day on Friday and Saturday. He baked a total of 3400 muffins over the six days. How many muffins did he bake on Wednesday? [?]",
   "answer0": "450",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Fri + Sat = 800 × 2 = 1600. Mon–Thu total = 3400 − 1600 = 1800. Each of the 4 equal days (incl. Wednesday) = 1800 ÷ 4 = 450.",
   "hints": [
    "Find the Friday and Saturday total: 800 × 2.",
    "Subtract from 3400, then divide by 4 days."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q42",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q42 working: 800×2=1600, 3400−1600=1800, 1800÷4=450. Answer = 450."
  },
  {
   "n": 43,
   "type_id": 2,
   "question": "Helen had 3 fifty-dollar notes. She bought two blouses at $46.50 each. She also bought a pair of shoes. She had $28.60 left. How much did the pair of shoes cost? [?]",
   "answer0": "28.40",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "Total money = 3 × $50 = $150. Two blouses = 2 × $46.50 = $93. Spent before shoes leaves $150 − $93 = $57. Shoes = $57 − $28.60 = $28.40.",
   "hints": [
    "Start with 3 × $50 and subtract the two blouses (2 × $46.50).",
    "Then subtract the $28.60 left to find the shoe cost."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q43",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q43 working: 3×50=150, 46.50+46.50=93, 150−93=57, 57−28.60=28.40. Answer = $28.40 (enter 28.40)."
  },
  {
   "n": 44,
   "type_id": 2,
   "question": "Mr Lee wanted to complete 26 laps around the track. Each lap was 400 m. He had completed 7800 m. How much further must he run? [?]",
   "answer0": "2600",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "Total distance = 26 × 400 = 10 400 m. Remaining = 10 400 − 7800 = 2600 m.",
   "hints": [
    "Find the total distance: 26 × 400 m.",
    "Subtract the 7800 m already run."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q44",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q44 working: 400×26=10400, 10400−7800=2600. Answer = 2600 m."
  },
  {
   "n": 45,
   "type_id": 2,
   "question": "The length of a rectangle is 10 cm. Its breadth is half of its length. What is the area of the rectangle? [?]",
   "answer0": "50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 138,
   "difficulty_id": 2,
   "explanation": "Breadth = 10 ÷ 2 = 5 cm. Area = length × breadth = 10 × 5 = 50 cm².",
   "hints": [
    "Breadth is half of 10 cm.",
    "Area = length × breadth."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q45",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q45 working: 10÷2=5, 10×5=50. Answer = 50 cm² (enter 50)."
  },
  {
   "n": 46,
   "type_id": 2,
   "question": "Claire has 4 times as many stamps as Diana. Claire has twice as many stamps as Eliane. Diana has 201 fewer stamps than Claire. How many stamps do they have altogether? [?]",
   "answer0": "469",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Claire = 4 units, Diana = 1 unit, so Diana is 3 units fewer = 201, giving 1 unit = 201 ÷ 3 = 67. Diana = 67, Claire = 268, Eliane = 268 ÷ 2 = 134. Altogether = 67 + 268 + 134 = 469.",
   "hints": [
    "Let Diana = 1 unit, Claire = 4 units; the 201 difference is 3 units.",
    "Find 1 unit, then total Claire + Diana + Eliane."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q46",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q46 working: 201÷3=67, 67×7=469. (Total in units = 4+1+2 = 7 units = 67×7 = 469.) Answer = 469."
  },
  {
   "n": 47,
   "type_id": 2,
   "question": "Fiona and Nicole have a total of 1197 beads. Nicole and Lydia have a total of 1203 beads. The 3 girls have a total of 1292 beads. How many beads does Nicole have? [?]",
   "answer0": "1108",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Lydia = total − (Fiona + Nicole) = 1292 − 1197 = 95. Nicole = (Nicole + Lydia) − Lydia = 1203 − 95 = 1108.",
   "hints": [
    "Find Lydia first: 1292 − 1197.",
    "Then Nicole = 1203 − Lydia."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q47",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q47 working: 1292−1203=89, 1197−89=1108. (Fiona = 1292−1203 = 89; Nicole = 1197−89 = 1108.) Answer = 1108."
  },
  {
   "n": 48,
   "type_id": 2,
   "question": "Tank A contained 9 litres of water. After some water was transferred from Tank A to Tank B, Tank A had 4 times as much water as Tank B. If Tank B had 2135 ml of water in the end, how much water was transferred from Tank A to Tank B? [?]",
   "answer0": "460",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "End: Tank B = 2135 ml, Tank A = 4 × 2135 = 8540 ml. Tank A started with 9 litres = 9000 ml, so water transferred = 9000 − 8540 = 460 ml.",
   "hints": [
    "Tank A ends with 4 × Tank B = 4 × 2135 ml.",
    "9 litres = 9000 ml; transferred = 9000 − Tank A's end amount."
   ],
   "source": "Red Swastika 2022 P4 Weighted Assessment 1 Q48",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key Q48 working: 2135×4=8540, 9000−8540=460. Answer = 460 ml."
  }
 ]
}