{
 "paper": {
  "school": "Raffles Girls' Primary School",
  "year": 2024,
  "level": "P4",
  "label": "WA2",
  "source_prefix": "Raffles 2024 P4 Weighted Assessment 2",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 2,
   "question": "What is the mixed number represented by A? [?]",
   "answer0": "2 5/8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 1,
   "explanation": "Method: read the number line. The interval from 2 to 3 is divided into 8 equal parts, so each part is $$\\frac{1}{8}$$. Point A is at the 5th mark after 2, which is $$2\\frac{5}{8}$$.",
   "hints": [
    "Count how many equal parts the gap between 2 and 3 is split into.",
    "A sits 5 parts past 2, so it is $$2\\frac{5}{8}$$."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q1",
   "image_needed": true,
   "image_options": false,
   "image_file": "q1.png",
   "image_page": 2,
   "image_bbox": [
    0.21,
    0.21,
    0.57,
    0.31
   ],
   "notes": "Number line 2 to 3 split into 8 parts; arrow A at 5th tick. Answer 2 5/8 confirmed by key."
  },
  {
   "n": 2,
   "type_id": 2,
   "question": "Arrange the fractions in increasing order.<br>$$1\\frac{5}{9}$$ , $$\\frac{15}{7}$$ , $$1\\frac{2}{3}$$<br>[?] , [?] , [?]",
   "answer0": "1 5/9",
   "answer1": "1 2/3",
   "answer2": "15/7",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 119,
   "difficulty_id": 2,
   "explanation": "Method: convert to a comparable form. $$1\\frac{5}{9}=\\frac{14}{9}\\approx1.56$$; $$1\\frac{2}{3}=\\frac{5}{3}\\approx1.67$$; $$\\frac{15}{7}\\approx2.14$$. In increasing order: $$1\\frac{5}{9}$$ , $$1\\frac{2}{3}$$ , $$\\frac{15}{7}$$.",
   "hints": [
    "Turn each into a decimal or a common form so you can compare.",
    "Smallest to largest: $$1\\frac{5}{9}$$, then $$1\\frac{2}{3}$$, then $$\\frac{15}{7}$$."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Ordering task -> 3-blank FIB in order. Answer 1 5/9, 1 2/3, 15/7 confirmed by key."
  },
  {
   "n": 3,
   "type_id": 2,
   "question": "Subtract $$\\frac{3}{5}$$ from 7. [?]",
   "answer0": "6 2/5",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 1,
   "explanation": "Method: rename 7 as a fraction with denominator 5. $$7=\\frac{35}{5}$$. Then $$\\frac{35}{5}-\\frac{3}{5}=\\frac{32}{5}=6\\frac{2}{5}$$.",
   "hints": [
    "Write 7 as $$\\frac{35}{5}$$ first.",
    "$$\\frac{35}{5}-\\frac{3}{5}=\\frac{32}{5}=6\\frac{2}{5}$$."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer 6 2/5 (32/5) confirmed by key."
  },
  {
   "n": 4,
   "type_id": 2,
   "question": "Measure $$\\angle$$y. [?]",
   "answer0": "65",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 1,
   "explanation": "Method: read the angle off the protractor along the correct scale. The ray for $$\\angle$$y lands on 65, so $$\\angle y=65^\\circ$$.",
   "hints": [
    "Use the scale that starts at 0 along the baseline.",
    "The reading is 65 degrees."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q4",
   "image_needed": true,
   "image_options": false,
   "image_file": "q4.png",
   "image_page": 3,
   "image_bbox": [
    0.24,
    0.45,
    0.76,
    0.7
   ],
   "notes": "Protractor with angle y marked. Answer in degrees; unit shown as degree on answer line. Answer 65 confirmed by key."
  },
  {
   "n": 5,
   "type_id": 2,
   "question": "Name an acute angle. $$\\angle$$[?]",
   "answer0": "PSR",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 139,
   "difficulty_id": 2,
   "explanation": "Method: an acute angle is less than 90 degrees. In parallelogram PQRS the angles at S and Q are acute. $$\\angle PSR$$ (the angle at S) is acute.",
   "hints": [
    "An acute angle is smaller than a right angle (90 degrees).",
    "The angle at S, $$\\angle PSR$$, is acute."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 4,
   "image_bbox": [
    0.34,
    0.13,
    0.78,
    0.28
   ],
   "notes": "Parallelogram PQRS. Key gives angle PSR; angle PQR also acceptable. Answer line prints the angle symbol."
  },
  {
   "n": 6,
   "type_id": 0,
   "question": "Complete the diagram such that ABCD is a rectangle. Label the point C in the diagram.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "Method: a rectangle has two pairs of equal parallel sides and four right angles. Plot C so that BC is parallel and equal to AD and CD is parallel and equal to AB, then draw the sides. C is placed as shown in the key.",
   "hints": [
    "Opposite sides of a rectangle are equal and parallel.",
    "Place C so ABCD has four right angles."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": "q6.png",
   "image_page": 4,
   "image_bbox": [
    0.22,
    0.49,
    0.66,
    0.79
   ],
   "notes": "Interactive draw/label task on a grid -> type_id 0 (skipped on insert). Answer: complete rectangle and label point C as shown in key."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "How many more triangles need to be shaded so that $$\\frac{5}{6}$$ of the triangles are shaded? [?]",
   "answer0": "8",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "Method: there are 18 triangles in total. $$\\frac{5}{6}$$ of 18 = 15 triangles must be shaded. 7 are already shaded, so 15 - 7 = 8 more triangles need shading.",
   "hints": [
    "Find $$\\frac{5}{6}$$ of the total number of triangles.",
    "Subtract the triangles already shaded from that amount."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 5,
   "image_bbox": [
    0.23,
    0.18,
    0.59,
    0.38
   ],
   "notes": "COUNT-TO-VERIFY: figure shows 18 triangles in a 4-row block, 7 already shaded. 5/6 x 18 = 15 needed; 15-7 = 8. Key working 15-7=8 confirms answer 8."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "Siti jogged $$\\frac{4}{5}$$ km. She jogged $$\\frac{3}{10}$$ km more than Tom. How far did Tom jog? [?]",
   "answer0": "1/2",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "Method: Tom jogged less than Siti, so subtract. $$\\frac{4}{5}=\\frac{8}{10}$$. Tom = $$\\frac{8}{10}-\\frac{3}{10}=\\frac{5}{10}=\\frac{1}{2}$$ km.",
   "hints": [
    "Tom jogged $$\\frac{3}{10}$$ km less than Siti, so subtract.",
    "$$\\frac{8}{10}-\\frac{3}{10}=\\frac{5}{10}=\\frac{1}{2}$$ km."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer line uses unit km. Key gives 5/10; simplest form 1/2 km. Both acceptable; answer stored as 1/2."
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "The table describes the properties of different figures P, Q and R. Which figure is likely to be a square? Figure [?]",
   "answer0": "Q",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "Method: a square has four equal sides, two pairs of parallel sides and right angles. Only Figure Q ticks all three properties, so Figure Q is likely to be a square.",
   "hints": [
    "A square needs four equal sides AND parallel sides AND right angles.",
    "Find the figure with a tick in every row."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q9",
   "image_needed": true,
   "image_options": false,
   "image_file": "q9.png",
   "image_page": 6,
   "image_bbox": [
    0.2,
    0.16,
    0.81,
    0.34
   ],
   "notes": "Property table for figures P, Q, R. Only Q has all 3 ticks. Answer Figure Q confirmed by key."
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "In the rectangle, $$\\angle$$x = $$\\angle$$y. Find $$\\angle$$x. [?]",
   "answer0": "15",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 3,
   "explanation": "Method: the corner of a rectangle is a right angle (90 degrees). The three angles x, y and 60 degrees together make 90 degrees. So x + y = 90 - 60 = 30 degrees. Since $$\\angle x=\\angle y$$, each is 30 $$\\div$$ 2 = 15 degrees.",
   "hints": [
    "The angles at the rectangle's corner add up to 90 degrees.",
    "90 - 60 = 30, then split equally between x and y."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q10",
   "image_needed": true,
   "image_options": false,
   "image_file": "q10.png",
   "image_page": 6,
   "image_bbox": [
    0.23,
    0.52,
    0.66,
    0.78
   ],
   "notes": "Rectangle with two diagonals from one corner; angles x, y and 60 deg at that corner. 90-60=30, 30/2=15. Answer line unit is degrees. Answer 15 confirmed by key."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "Mrs Tan sold some red and yellow roses. $$\\frac{2}{9}$$ of the roses sold were red. The rest of the roses sold were yellow. 16 red roses were sold. How many yellow roses did Mrs Tan sell? [?]",
   "answer0": "56",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "Method: $$\\frac{2}{9}$$ of the roses are red = 16, so 1 unit ($$\\frac{1}{9}$$) = 16 $$\\div$$ 2 = 8 roses. Yellow is the rest: $$\\frac{9}{9}-\\frac{2}{9}=\\frac{7}{9}$$ = 7 units. Yellow roses = 8 $$\\times$$ 7 = 56.",
   "hints": [
    "2 units stand for 16 red roses, so find the value of 1 unit.",
    "Yellow is $$\\frac{7}{9}$$ = 7 units; multiply by the value of 1 unit."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Section B, 3 marks. Key: 16/2=8 per unit, 7/9 yellow, 8x7=56. Answer 56 confirmed."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Jamie had 3 kg of flour. She used $$\\frac{3}{10}$$ kg of flour to bake a cake and $$\\frac{1}{4}$$ kg of flour to bake cookies.<br>a) What is the total mass of flour Jamie used?<br>b) What is the mass of flour left after baking the cake and cookies? (Express your answer as a mixed number.)<br>a) [?] b) [?]",
   "answer0": "11/20",
   "answer1": "2 27/60",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "a) Total used: $$\\frac{3}{10}+\\frac{1}{4}=\\frac{6}{20}+\\frac{5}{20}=\\frac{11}{20}$$ kg. b) Flour left: $$3-\\frac{11}{20}$$. Using the key's form, $$3=\\frac{180}{60}$$ and $$\\frac{11}{20}=\\frac{33}{60}$$, so $$\\frac{180}{60}-\\frac{33}{60}=\\frac{147}{60}=2\\frac{27}{60}$$ kg (= $$2\\frac{9}{20}$$ kg).",
   "hints": [
    "a) Make the denominators the same (20) before adding.",
    "b) Subtract the total used from 3 kg and write it as a mixed number."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Section B, 2 marks each part. Answer line unit kg. a) 11/20 kg; b) key gives 2 27/60 kg (equals 2 9/20 kg). Answers confirmed by key."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Gopal spent $$\\frac{2}{11}$$ of his money and saved the rest. He saved $749 more than the amount he spent. How much did he spend? [?]",
   "answer0": "$214",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 120,
   "difficulty_id": 3,
   "explanation": "Method: spent = $$\\frac{2}{11}$$ (2 units), saved = $$\\frac{9}{11}$$ (9 units). Saved is $749 more than spent: 9 units - 2 units = 7 units = $749. So 1 unit = 749 $$\\div$$ 7 = $107. Spent = 2 units = 2 $$\\times$$ 107 = $214.",
   "hints": [
    "Spent is 2 units and saved is 9 units; their difference is 7 units = $749.",
    "Find 1 unit, then spent = 2 units."
   ],
   "source": "Raffles 2024 P4 Weighted Assessment 2 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Section B, 3 marks. Key: 749/7=107, 107x2=214. Answer $214 confirmed."
  }
 ]
}