{
  "paper": {
    "school": "Rosyth",
    "year": 2025,
    "level": "P4",
    "label": "Weighted Assessment 2",
    "source_prefix": "Rosyth 2025 P4 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Round 25 571 to the nearest hundred.",
      "answer0": "25600",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 1,
      "explanation": "The hundreds digit of 25 571 is 5. The digit after it (tens) is 7, which is 5 or more, so round up. 25 571 rounds to 25 600.",
      "hints": ["Look at the tens digit to decide whether to round up or down.", "Tens digit is 7 (5 or more), so round the hundreds up."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 25600"
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "How many one-fifths are there in 3 wholes?",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "Each whole contains 5 one-fifths. For 3 wholes: $$3 \\times 5 = 15$$ one-fifths.",
      "hints": ["1 whole = 5 fifths.", "Multiply 5 by the number of wholes."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 15"
    },
    {
      "n": 3,
      "type_id": 0,
      "question": "The figure is made up of squares. Shade two more squares so that the figure has a line of symmetry.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 145,
      "difficulty_id": 2,
      "explanation": "Identify the line of symmetry and shade the two squares that mirror the already-shaded squares so the shading is symmetric about that line.",
      "hints": [],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "image_page": 2,
      "image_bbox": [0.27, 0.61, 0.55, 0.80],
      "image_loc": "5x4 grid of squares, lower-middle of page 2 below Q3 text",
      "notes": "Interactive shade-the-grid task; no value answer. SKIPPED on insert. Answer = shade two squares to make figure symmetric."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "Write down the size of $$\\angle AOB$$.",
      "answer0": "130",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 140,
      "difficulty_id": 1,
      "explanation": "Read the protractor along the scale where OB lies on 0. Ray OA passes through the 130 mark, so $$\\angle AOB = 130^\\circ$$.",
      "hints": ["OB lies along the 0 line of the protractor.", "Read the scale that starts at 0 on ray OB."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "image_page": 3,
      "image_bbox": [0.18, 0.16, 0.72, 0.38],
      "image_loc": "protractor with rays OA and OB, upper portion of page 3",
      "notes": "Key: 130 degrees. Answer entered as a number; unit (degrees) shown in stem."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Find the value of $$\\frac{11}{12} - \\frac{2}{3}$$ in its simplest form.",
      "answer0": "1/4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "Make a common denominator: $$\\frac{2}{3} = \\frac{8}{12}$$. Then $$\\frac{11}{12} - \\frac{8}{12} = \\frac{3}{12} = \\frac{1}{4}$$.",
      "hints": ["Convert 2/3 to twelfths.", "Subtract numerators over 12, then simplify."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1/4"
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "The square grid shows the positions of points A, B, C and D. Ahmad walked directly from point A to point D in a straight line. In which direction did Ahmad walk?",
      "answer0": "North-West",
      "answer1": "North-East",
      "answer2": "South-West",
      "answer3": "South-East",
      "correct_answer": 0,
      "skill_id": 142,
      "difficulty_id": 2,
      "explanation": "From the grid, D is above (north of) and to the left (west of) A. Moving from A to D is therefore towards the North-West.",
      "hints": ["Compare D's position to A: is it up/down, left/right?", "Up = North, left = West."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "image_page": 4,
      "image_bbox": [0.28, 0.18, 0.66, 0.38],
      "image_loc": "square grid with points A, B, C, D and a North arrow, upper part of page 4",
      "notes": "Q6a only. Q6b (put a cross south-east of D and north of C) is an interactive plot task, omitted. Key Q6a: North-West."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "Find the value of<br>a) $$4269 \\times 3$$<br>b) $$217 \\times 15$$",
      "answer0": "12807",
      "answer1": "3255",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 2,
      "explanation": "a) $$4269 \\times 3 = 12807$$. b) $$217 \\times 15 = 217 \\times 10 + 217 \\times 5 = 2170 + 1085 = 3255$$.",
      "hints": ["For 217 x 15, split 15 into 10 + 5.", "Add the two partial products."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two blanks. Key: a) 12807, b) 3255"
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "The letter A represents a mixed number. Give your answer in its simplest form.",
      "answer0": "1 1/3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "Each interval between whole numbers is divided into 6 equal parts. A sits at 2 parts past 1, i.e. $$1\\frac{2}{6} = 1\\frac{1}{3}$$.",
      "hints": ["Count how many equal parts each whole is split into.", "Read A's position then simplify the fraction."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "image_page": 6,
      "image_bbox": [0.13, 0.20, 0.66, 0.31],
      "image_loc": "number line 0 to 3 with marker A, top of page 6",
      "notes": "Key: 1 1/3 (mixed number 1 and one-third)."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Arrange the following fractions in increasing order.<br>$$\\frac{4}{5}$$ , $$\\frac{2}{3}$$ , $$\\frac{5}{3}$$",
      "answer0": "2/3",
      "answer1": "4/5",
      "answer2": "5/3",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "Compare values: $$\\frac{2}{3} \\approx 0.67$$, $$\\frac{4}{5} = 0.8$$, $$\\frac{5}{3} \\approx 1.67$$. Increasing order: 2/3, 4/5, 5/3.",
      "hints": ["Convert each fraction to a decimal to compare.", "5/3 is greater than 1; the others are less than 1."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ordering -> FIB, one blank per position. Key: 2/3, 4/5, 5/3."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "I am a number greater than 20 but less than 40. I am a multiple of 6 and a factor of 48. What number am I?",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Multiples of 6 between 20 and 40: 24, 30, 36. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The only number in both lists is 24.",
      "hints": ["List multiples of 6 in the range 21 to 39.", "Check which of them divides 48 exactly."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 24"
    },
    {
      "n": 11,
      "type_id": 0,
      "question": "Complete the figure with XY as the line of symmetry.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 145,
      "difficulty_id": 2,
      "explanation": "Reflect every line segment of the given figure across the horizontal line XY to draw its mirror image below the line.",
      "hints": [],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "image_page": 7,
      "image_bbox": [0.28, 0.18, 0.64, 0.44],
      "image_loc": "grid with partial figure above line XY, upper part of page 7",
      "notes": "Interactive draw-the-reflection task; no value answer. SKIPPED on insert."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "A number is 15 000 when rounded to the nearest thousand. What is the greatest possible value of the number?",
      "answer0": "15499",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 109,
      "difficulty_id": 2,
      "explanation": "To round to 15 000, the number must be from 14 500 to 15 499. The greatest whole number that still rounds down to 15 000 is 15 499.",
      "hints": ["Numbers rounding to 15 000 lie between 14 500 and 15 499.", "The greatest is just below 15 500."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 15499"
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Find the quotient and remainder when 4505 is divided by 6.",
      "answer0": "750",
      "answer1": "5",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "$$4505 \\div 6 = 750$$ remainder $$5$$, since $$6 \\times 750 = 4500$$ and $$4505 - 4500 = 5$$.",
      "hints": ["Find how many 6s fit into 4505.", "The leftover after 6 x 750 is the remainder."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two blanks (quotient, remainder). Key: quotient 750, remainder 5."
    },
    {
      "n": 14,
      "type_id": 0,
      "question": "S and T are two points on a map. Point S is north of T. Point X is southwest of S and west of T. Put a cross (X) on the square grid to indicate Point X.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 142,
      "difficulty_id": 2,
      "explanation": "X is west of T (same row as T, to the left) and southwest of S (below and left of S). The point satisfying both is directly west of T and below-left of S, in the bottom-left area of the grid.",
      "hints": [],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q14",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "image_page": 8,
      "image_bbox": [0.40, 0.50, 0.70, 0.80],
      "image_loc": "square grid with points S and T, lower-middle of page 8 (compass figure to its left)",
      "notes": "Interactive plot-the-cross task; no value answer. SKIPPED on insert. X is west of T and southwest of S."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Rihana had $105. She used $$\\frac{1}{3}$$ of it on a watch and spent the rest of her money on a present. How much did the present cost?",
      "answer0": "$70",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 2,
      "explanation": "Watch cost $$\\frac{1}{3} \\times 105 = \\$35$$. The rest (present) is $$\\frac{2}{3}$$ of 105, i.e. $$105 - 35 = \\$70$$.",
      "hints": ["Find 1/3 of $105 for the watch.", "The present is the remaining 2/3."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $70"
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Janice had twice as many stamps as Kenneth at first. After Kenneth had given away 24 stamps, Janice had 5 times as many stamps as Kenneth. How many stamps did Kenneth have?",
      "answer0": "40",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Janice is unchanged. Let Kenneth's start = K, so Janice = 2K. After giving away 24, Kenneth = K - 24 and 2K = 5(K - 24). So $$2K = 5K - 120$$, $$3K = 120$$, $$K = 40$$. Kenneth had 40 stamps.",
      "hints": ["Janice's total does not change.", "Set up: Janice (2 units) = 5 x (Kenneth after losing 24)."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 40 (key working: 3u=24+24=48, 1u=16, 16+24=40)."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Raphael has some chocolates to give to his friends at a party. The number of chocolates he has is less than 30. If he gives 4 chocolates to each friend, he will have 2 extra chocolates. If he gives 5 chocolates to each friend, he will need 1 more chocolate.<br>a) How many chocolates does Raphael have?<br>b) How many friends does Raphael have at the party?",
      "answer0": "14",
      "answer1": "3",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Let f = number of friends. Chocolates = $$4f + 2$$ (2 extra) and also $$5f - 1$$ (needs 1 more). So $$4f + 2 = 5f - 1$$, giving $$f = 3$$. Chocolates $$= 4 \\times 3 + 2 = 14$$ (less than 30, checks out).",
      "hints": ["Write the number of chocolates two ways using the number of friends.", "Set the two expressions equal to find the friends."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two parts. Key: a) 14 chocolates, b) 3 friends."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Giresh had $108 more than Beng Huat. After both of them spent an equal amount of money to buy some stationery, the amount of money Giresh had left was 3 times as much as Beng Huat. Given that Giresh had $198 at first, how much did each of them spend?",
      "answer0": "$36",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 3,
      "explanation": "Beng Huat at first $$= 198 - 108 = \\$90$$. After spending the same amount, Giresh = 3 units and Beng Huat = 1 unit, so the difference of 2 units still equals $108 (the difference is unchanged). $$1 \\text{ unit} = 108 \\div 2 = \\$54$$ = Beng Huat's money left. So each spent $$90 - 54 = \\$36$$.",
      "hints": ["Spending the same keeps the $108 difference.", "After: Giresh is 3 units, Beng Huat 1 unit, difference 2 units = $108."],
      "source": "Rosyth 2025 P4 Weighted Assessment 2 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $36 each."
    }
  ]
}
