{
 "paper": {
  "school": "Maha Bodhi",
  "year": 2023,
  "level": "P4",
  "label": "Weighted Assessment 2",
  "source_prefix": "Maha Bodhi 2023 P4 Weighted Assessment 2",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "In the number line, what is the fraction represented by P?",
   "answer0": "$$\\frac{5}{7}$$",
   "answer1": "$$\\frac{5}{8}$$",
   "answer2": "$$2\\frac{5}{7}$$",
   "answer3": "$$2\\frac{5}{8}$$",
   "correct_answer": 3,
   "skill_id": 119,
   "difficulty_id": 2,
   "explanation": "The number line runs from 2 to 3 and is divided into 8 equal parts. P is at the 5th mark past 2, so its value is $$2\\frac{5}{8}$$.",
   "hints": [
    "Count how many equal intervals lie between 2 and 3.",
    "P sits 5 intervals past 2, so it is 2 and 5 of those eighths."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q1",
   "image_needed": true,
   "image_options": false,
   "image_file": "q1.png",
   "image_page": 1,
   "image_bbox": [
    0.13,
    0.46,
    0.72,
    0.55
   ],
   "image_loc": "number line from 2 to 3 with arrow marking P, below the question text",
   "notes": "Key: option 4 (2 5/8). Number line interval count read from figure."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "Which figure has only 1 line of symmetry?",
   "answer0": "Figure 1",
   "answer1": "Figure 2",
   "answer2": "Figure 3",
   "answer3": "Figure 4",
   "correct_answer": 1,
   "skill_id": 144,
   "difficulty_id": 2,
   "explanation": "A parallelogram (options 1 and 3) has no line of symmetry; a rectangle (option 4) has 2 lines of symmetry. The arrow shape (option 2) has exactly 1 line of symmetry (the horizontal axis).",
   "hints": [
    "A parallelogram has no line of symmetry.",
    "A rectangle has 2 lines of symmetry; an arrow pointing sideways has just 1."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q2",
   "image_needed": true,
   "image_options": true,
   "image_file": null,
   "image_page": 2,
   "image_bbox": [
    0.15,
    0.13,
    0.46,
    0.52
   ],
   "image_loc": "four stacked figures (parallelogram, arrow, parallelogram, rectangle) labelled 1-4",
   "notes": "Image-option MCQ: crop each option to q2_opt0.png..q2_opt3.png. Key: option 2 (the arrow)."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "Which of the following is not an equivalent fraction of $$\\frac{2}{3}$$?",
   "answer0": "$$\\frac{4}{9}$$",
   "answer1": "$$\\frac{8}{12}$$",
   "answer2": "$$\\frac{10}{15}$$",
   "answer3": "$$\\frac{14}{21}$$",
   "correct_answer": 0,
   "skill_id": 77,
   "difficulty_id": 1,
   "explanation": "$$\\frac{8}{12}=\\frac{2}{3}$$, $$\\frac{10}{15}=\\frac{2}{3}$$ and $$\\frac{14}{21}=\\frac{2}{3}$$. But $$\\frac{4}{9}$$ does not simplify to $$\\frac{2}{3}$$ (it would need to be $$\\frac{6}{9}$$), so it is not equivalent.",
   "hints": [
    "Multiply numerator and denominator of $$\\frac{2}{3}$$ by the same number to get equivalent fractions.",
    "Check which option does NOT reduce back to $$\\frac{2}{3}$$."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 1 (4/9)."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "The figure is made up of identical squares. How many more squares need to be shaded so that $$\\frac{3}{4}$$ of the figure is shaded?",
   "answer0": "5",
   "answer1": "7",
   "answer2": "3",
   "answer3": "4",
   "correct_answer": 3,
   "skill_id": 120,
   "difficulty_id": 2,
   "explanation": "The figure has 12 identical squares. $$\\frac{3}{4}$$ of 12 = 9 squares need to be shaded. 5 squares are already shaded, so 9 - 5 = 4 more squares must be shaded.",
   "hints": [
    "Count the total number of small squares, then find $$\\frac{3}{4}$$ of that total.",
    "Subtract the squares already shaded from the number needed."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q4",
   "image_needed": true,
   "image_options": false,
   "image_file": "q4.png",
   "image_page": 3,
   "image_bbox": [
    0.19,
    0.15,
    0.39,
    0.27
   ],
   "image_loc": "grid of identical squares with a checkerboard shading pattern, below the question",
   "notes": "Key: option 4 (= 4). Figure is 12 squares (3 rows x 4 cols); 5 already shaded; 3/4 of 12 = 9; 9-5 = 4. Count to verify against crop."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "The figure is made of square WXYZ and rectangle TUVW. UV = 30 cm, UT = 9 cm and VX = 20 cm. Find the length of TZ.",
   "answer0": "9 cm",
   "answer1": "11 cm",
   "answer2": "19 cm",
   "answer3": "21 cm",
   "correct_answer": 2,
   "skill_id": 143,
   "difficulty_id": 3,
   "explanation": "VX = 20 cm is the full right side = UT (9 cm) + the square's side. So the square's side = 20 - 9 = 11 cm. TW = UV = 30 cm. TZ = TW - ZW = 30 - 11 = 19 cm.",
   "hints": [
    "VX is the full height: rectangle height UT plus the square's side.",
    "TZ = TW (= UV) minus one side of the square."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 3,
   "image_bbox": [
    0.28,
    0.5,
    0.66,
    0.68
   ],
   "image_loc": "L-shaped figure: rectangle TUVW with square WXYZ, dimensions labelled, TZ marked with ?",
   "notes": "Key: option 3 (19 cm). Square side = VX - UT = 20 - 9 = 11; TZ = 30 - 11 = 19."
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "Arrange the following fractions in increasing order.<br>$$\\frac{3}{4}$$, $$\\frac{1}{2}$$, $$\\frac{5}{8}$$",
   "answer0": "1/2",
   "answer1": "5/8",
   "answer2": "3/4",
   "correct_answer": null,
   "skill_id": 79,
   "difficulty_id": 2,
   "explanation": "Convert to eighths: $$\\frac{3}{4}=\\frac{6}{8}$$, $$\\frac{1}{2}=\\frac{4}{8}$$, $$\\frac{5}{8}=\\frac{5}{8}$$. In increasing order: $$\\frac{4}{8}<\\frac{5}{8}<\\frac{6}{8}$$, i.e. $$\\frac{1}{2}$$, $$\\frac{5}{8}$$, $$\\frac{3}{4}$$.",
   "hints": [
    "Use a common denominator of 8 for all three fractions.",
    "Smallest numerator over 8 comes first."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1/2, 5/8, 3/4. Ordering task converted to 3-blank FIB."
  },
  {
   "n": 7,
   "type_id": 0,
   "question": "Draw a square from the given lines.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "Using the two given line segments as two sides, complete the remaining two sides on the grid to form a square.",
   "hints": [],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 4,
   "image_bbox": [
    0.25,
    0.42,
    0.55,
    0.62
   ],
   "image_loc": "square grid with two line segments drawn, to be completed into a square",
   "notes": "Interactive draw-on-grid task; no value answer. type_id 0 (skipped on insert). Key shows completed square on grid."
  },
  {
   "n": 8,
   "type_id": 0,
   "question": "Complete the drawing. The dotted line is a line of symmetry.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 145,
   "difficulty_id": 2,
   "explanation": "Reflect each segment of the given half-figure across the horizontal dotted line to complete the symmetric figure.",
   "hints": [],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q8",
   "image_needed": true,
   "image_options": false,
   "image_file": "q8.png",
   "image_page": 4,
   "image_bbox": [
    0.27,
    0.69,
    0.62,
    0.92
   ],
   "image_loc": "square grid with a half-figure above a horizontal dotted line of symmetry",
   "notes": "Interactive draw/reflect task; no value answer. type_id 0 (skipped on insert)."
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "Find the value of $$1 - \\frac{7}{12} - \\frac{1}{6}$$. Express your answer in the simplest form.",
   "answer0": "1/4",
   "correct_answer": null,
   "skill_id": 121,
   "difficulty_id": 2,
   "explanation": "Use twelfths: $$1=\\frac{12}{12}$$ and $$\\frac{1}{6}=\\frac{2}{12}$$. $$\\frac{12}{12}-\\frac{7}{12}-\\frac{2}{12}=\\frac{3}{12}=\\frac{1}{4}$$.",
   "hints": [
    "Convert 1 and $$\\frac{1}{6}$$ to twelfths.",
    "Subtract the numerators, then simplify $$\\frac{3}{12}$$."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1/4."
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "Mrs Tan had 30 kg of flour. She used 10 kg of flour to make a cake. From the amount of flour left, she gave $$\\frac{1}{5}$$ of it to her sister. How much flour did she give to her sister?",
   "answer0": "4",
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "Flour left = 30 kg - 10 kg = 20 kg. She gave $$\\frac{1}{5}$$ of 20 kg = 20 ÷ 5 = 4 kg to her sister.",
   "hints": [
    "First find how much flour is left after making the cake.",
    "Take $$\\frac{1}{5}$$ of the remaining amount."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 4 kg. Answer unit is kg (per Ans line)."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "A square piece of paper is folded as shown. Find $$\\angle x$$.",
   "answer0": "33",
   "correct_answer": null,
   "skill_id": 200,
   "difficulty_id": 3,
   "explanation": "The corner of the square is a right angle (90°). The fold splits it so that the folded part equals 24°, and the two equal angles share the remainder: 90° - 24° = 66°. Since the fold makes those two angles equal, $$\\angle x$$ = 66° ÷ 2 = 33°.",
   "hints": [
    "The corner of a square is 90°.",
    "Subtract 24° from 90°, then halve because the fold makes two equal angles."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": "q11.png",
   "image_page": 6,
   "image_bbox": [
    0.3,
    0.3,
    0.58,
    0.49
   ],
   "image_loc": "folded square paper diagram with angle x at lower-left and 24 degrees marked",
   "notes": "Key working: 90 - 24 = 66; 66 / 2 = 33; x = 33 degrees."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Mary bought a bag of apples. She gave $$\\frac{4}{9}$$ of the apples to her uncle and $$\\frac{1}{3}$$ of them to her neighbour. In the end, she had 6 apples left. How many apples did Mary have at first?",
   "answer0": "27",
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "Fraction given away = $$\\frac{4}{9}+\\frac{1}{3}=\\frac{4}{9}+\\frac{3}{9}=\\frac{7}{9}$$. Fraction left = $$\\frac{2}{9}$$, which equals 6 apples. So 1 unit ($$\\frac{1}{9}$$) = 6 ÷ 2 = 3 apples, and 9 units = 3 × 9 = 27 apples.",
   "hints": [
    "Add the two fractions given away using a common denominator of 9.",
    "The fraction left over equals 6 apples; use it to find the whole."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key working: 2 units = 6, 1 unit = 3, 9 units = 27. Mary had 27 apples at first."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Helen prepared 18 $$l$$ of orange juice and mango juice in the morning. $$\\frac{5}{6}$$ of it was orange juice and the rest was mango juice. Her children drank $$\\frac{7}{8}$$ $$l$$ of mango juice in the afternoon.<br>(a) How much mango juice did Helen prepare?<br>(b) How much mango juice was left?",
   "answer0": "3",
   "answer1": "2 1/8",
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 3,
   "explanation": "(a) Mango juice fraction = $$1-\\frac{5}{6}=\\frac{1}{6}$$ of 18 $$l$$. $$\\frac{6}{6}$$ = 18 $$l$$, so 1 unit = 18 ÷ 6 = 3 $$l$$. Helen prepared 3 $$l$$ of mango juice.<br>(b) Mango juice left = 3 $$l$$ - $$\\frac{7}{8}$$ $$l$$ = $$2\\frac{1}{8}$$ $$l$$.",
   "hints": [
    "The rest of the juice (after the orange juice fraction) is the mango juice.",
    "Subtract the amount the children drank from the mango juice prepared."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 2 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: (a) 3 L (6 units = 18, 1 unit = 3); (b) 3 - 7/8 = 2 1/8 L. Two-part; answer0 = part (a) in litres, answer1 = part (b) in litres."
  }
 ]
}