{
 "paper": {
  "school": "Rosyth",
  "year": 2023,
  "level": "P4",
  "label": "Weighted Assessment 2",
  "source_prefix": "Rosyth 2023 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": "Look at the tens digit of 25 571. The tens digit is 7, which is 5 or more, so round up the hundreds digit. 25 571 rounds to 25 600.",
   "hints": [
    "The hundreds digit is 5.",
    "Check the tens digit: if it is 5 or more, round up."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer 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. In 3 wholes there are 3 × 5 = 15 one-fifths.",
   "hints": [
    "One whole = $$\\frac{5}{5}$$, which is 5 one-fifths.",
    "Multiply 5 by the number of wholes."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer 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": "Shade the two squares that mirror the already-shaded squares across the line of symmetry so each shaded square has a matching partner on the opposite side.",
   "hints": [
    "Find a vertical or horizontal mirror line.",
    "Each shaded square needs a matching shaded square on the other side of the line."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q3",
   "image_needed": true,
   "image_options": false,
   "image_file": null,
   "image_page": 3,
   "image_bbox": [
    0.27,
    0.61,
    0.58,
    0.8
   ],
   "image_loc": "5x4 grid of squares with some squares shaded, below the question text on page 3",
   "notes": "Interactive shade-the-grid task — no app question type. SKIPPED on insert. Answer per key: shade the squares mirroring the existing shaded ones to make the figure symmetric."
  },
  {
   "n": 4,
   "type_id": 2,
   "question": "Write down the size of ∠AOB.",
   "answer0": "130",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Read the protractor scale where ray OA crosses it, measuring from OB along the base line. ∠AOB = 130°.",
   "hints": [
    "Start reading from 0° along OB.",
    "Follow the scale up to where OA points."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q4",
   "image_needed": true,
   "image_options": false,
   "image_file": null,
   "image_page": 4,
   "image_bbox": [
    0.1,
    0.18,
    0.7,
    0.42
   ],
   "image_loc": "protractor diagram with rays OA and OB, top half of page 4",
   "notes": "Answer key: 130°. Answer given in degrees."
  },
  {
   "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": "Convert to a common denominator of 12: $$\\frac{2}{3}=\\frac{8}{12}$$. Then $$\\frac{11}{12}-\\frac{8}{12}=\\frac{3}{12}=\\frac{1}{4}$$.",
   "hints": [
    "Make the denominators the same (use 12).",
    "Subtract the numerators, then simplify."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 1/4."
  },
  {
   "n": 6,
   "type_id": 2,
   "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": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 142,
   "difficulty_id": 2,
   "explanation": "From A, point D lies up (north) and to the left (west). Moving from A to D is therefore in the North-West direction.",
   "hints": [
    "Use the North arrow shown next to the grid.",
    "D is above and to the left of A."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": null,
   "image_page": 5,
   "image_bbox": [
    0.27,
    0.16,
    0.62,
    0.38
   ],
   "image_loc": "5x5 square grid with points A, B, C, D and a North arrow, upper area of page 5",
   "notes": "Only part (a) is a value answer (North-West). Part (b) is an interactive plot-a-cross task and is omitted. Answer key Q6a: North-West."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "Find the value of<br>a) 4269 × 3<br>b) 217 × 15",
   "answer0": "12807",
   "answer1": "3255",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 116,
   "difficulty_id": 2,
   "explanation": "a) 4269 × 3 = 12 807. b) 217 × 15 = 217 × 10 + 217 × 5 = 2170 + 1085 = 3255.",
   "hints": [
    "Multiply using the standard column algorithm.",
    "For 217 × 15, split 15 into 10 + 5."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-part computation; answer0 = part a, answer1 = part b. Answer 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": "The interval from 1 to 2 on the number line is divided into 3 equal parts. The arrow labelled A is at the first mark after 1, so A = $$1\\frac{1}{3}$$.",
   "hints": [
    "Count how many equal parts each whole unit is divided into.",
    "A is one small step past the 1 mark."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q8",
   "image_needed": true,
   "image_options": false,
   "image_file": null,
   "image_page": 7,
   "image_bbox": [
    0.1,
    0.2,
    0.65,
    0.32
   ],
   "image_loc": "number line from 0 to 3 with arrow A marked between 1 and 2, top of page 7",
   "notes": "Answer key: 1 1/3 (shown as $$1\\frac{1}{3}$$). FIB answer kept plain mixed-number form."
  },
  {
   "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": "$$\\frac{2}{3}\\approx0.67$$, $$\\frac{4}{5}=0.8$$, $$\\frac{5}{3}\\approx1.67$$. In increasing order: $$\\frac{2}{3}, \\frac{4}{5}, \\frac{5}{3}$$.",
   "hints": [
    "Compare $$\\frac{4}{5}$$ and $$\\frac{2}{3}$$ using a common denominator of 15.",
    "$$\\frac{5}{3}$$ is greater than 1 so it is the largest."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Ordering task as FIB, one blank per position smallest to largest. Answer 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": 111,
   "difficulty_id": 2,
   "explanation": "Multiples of 6 between 20 and 40 are 24, 30, 36. Of these, only 24 is a factor of 48 (48 ÷ 24 = 2). So the number is 24.",
   "hints": [
    "List the multiples of 6 between 20 and 40.",
    "Check which one divides 48 exactly."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer 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 each line segment of the given figure across the horizontal line XY to produce the mirror image below the line, completing the symmetric figure.",
   "hints": [
    "XY is the horizontal mirror line.",
    "Each point above XY maps to a point the same distance below it."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": null,
   "image_page": 8,
   "image_bbox": [
    0.24,
    0.2,
    0.62,
    0.45
   ],
   "image_loc": "grid with a partial figure above line XY, upper-left of page 8",
   "notes": "Interactive draw-the-reflection task — no app question type. SKIPPED on insert. Answer key shows the completed symmetric figure."
  },
  {
   "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": "Numbers that round to 15 000 to the nearest thousand range from 14 500 to 15 499. The greatest such number is 15 499.",
   "hints": [
    "A number rounds down to 15 000 if it is below 15 500.",
    "The largest whole number below 15 500 is 15 499."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 15499."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Find the quotient and remainder when 4505 is divided by 6.<br>Quotient: [?]<br>Remainder: [?]",
   "answer0": "750",
   "answer1": "5",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "4505 ÷ 6 = 750 remainder 5, since 6 × 750 = 4500 and 4505 − 4500 = 5.",
   "hints": [
    "Use long division.",
    "6 × 750 = 4500; subtract from 4505 for the remainder."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two blanks: quotient then remainder. Answer 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) and southwest of S (below and left of S). The intersection of T's row with a column left of S gives Point X, placed at the bottom-left of the grid as in the key.",
   "hints": [
    "X shares the same north-south level as T (west of T).",
    "X must also be below and to the left of S."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q14",
   "image_needed": true,
   "image_options": false,
   "image_file": null,
   "image_page": 9,
   "image_bbox": [
    0.16,
    0.5,
    0.68,
    0.83
   ],
   "image_loc": "North arrow and a square grid with points S and T marked, lower half of page 9",
   "notes": "Interactive plot-a-cross task — no app question type. SKIPPED on insert. Answer key shows X at bottom-left of grid."
  },
  {
   "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": "She spent $$\\frac{1}{3}$$ on the watch, so $$\\frac{2}{3}$$ was spent on the present. The present cost $$\\frac{2}{3}$$ of $105 = 2 × ($105 ÷ 3) = 2 × $35 = $70.",
   "hints": [
    "The present is the remaining $$\\frac{2}{3}$$ of the money.",
    "Find $$\\frac{1}{3}$$ of $105 first, then take 2 units."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 3u = 105, 1u = 35, 2u = $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 at 2 units (Kenneth's original). After Kenneth gives away 24, Janice = 5 × Kenneth-now, so 2 units = 5 × (Kenneth-now). Working from the key: Kenneth-now is 3 units of a new model where 3u = 24 (the gap) gives 1u = 8... using the key's method: 3u = 24 + 24 = 48, 1u = 16, so Kenneth at first = 16 + 24 = 40 stamps.",
   "hints": [
    "Janice's total never changes.",
    "Compare Kenneth before and after giving away 24, keeping Janice fixed."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 3u = 24 + 24 = 48, 1u = 16, 16 + 24 = 40 stamps."
  },
  {
   "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 be the number of friends. Chocolates = 4f + 2 = 5f − 1. So 5f − 4f = 2 + 1, giving f = 3 friends. Chocolates = 4 × 3 + 2 = 14 (less than 30). a) 14 chocolates, b) 3 friends.",
   "hints": [
    "4 per friend leaves 2 extra; 5 per friend is 1 short. Set the two expressions equal.",
    "The difference of 1 chocolate per friend accounts for the 2 + 1 gap."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q17",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two parts: answer0 = chocolates (a), answer1 = friends (b). Answer key: a) 14, b) 3."
  },
  {
   "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. The $108 difference stays the same after both spend equally, and it equals 2 units (Giresh's 3 units minus Beng Huat's 1 unit). So 1 unit = $108 ÷ 2 = $54 = Beng Huat's money left. Each spent = $90 − $54 = $36.",
   "hints": [
    "The difference of $108 does not change when both spend the same amount.",
    "After spending, Giresh = 3 units and Beng Huat = 1 unit, so the difference is 2 units."
   ],
   "source": "Rosyth 2023 P4 Weighted Assessment 2 Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: BH at first = 198 − 108 = 90; 1u = 108 ÷ 2 = 54; spent = 90 − 54 = $36."
  }
 ]
}