{
 "paper": {
  "school": "Rosyth",
  "year": 2022,
  "level": "P4",
  "label": "Weighted Assessment 3",
  "source_prefix": "Rosyth 2022 P4 Weighted Assessment 3",
  "has_answer_key": true,
  "notes": "Cover page prints 'WEIGHTED ASSESSMENT TWO' but the answer key, source filename and sgexam page all label this WA3 (TERM: 2022 WA3). Treated as Weighted Assessment 3 per task. 18 questions; full answer key on page 11."
 },
 "questions": [
  {
   "n": 1,
   "type_id": 2,
   "question": "Write 23 thousandths as a decimal.",
   "answer0": "0.023",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 1,
   "explanation": "23 thousandths means $$\\frac{23}{1000}$$. The thousandths digit is the 3rd decimal place, so 23 thousandths = 0.023.",
   "hints": [
    "Thousandths is the 3rd place after the decimal point.",
    "Write 23 so its last digit lands in the thousandths place: 0.023."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": ""
  },
  {
   "n": 2,
   "type_id": 2,
   "question": "Fill in the missing number in the box below.<br>$$37.15 = 37 + \\frac{[?]}{100}$$",
   "answer0": "15",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 1,
   "explanation": "37.15 = 37 + 0.15. The decimal part 0.15 = $$\\frac{15}{100}$$, so the missing numerator is 15.",
   "hints": [
    "Separate the whole-number part: 37.15 = 37 + 0.15.",
    "0.15 written as hundredths is $$\\frac{15}{100}$$."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q2",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Diagram is just a box over /100; rendered inline as a fraction blank, no image needed."
  },
  {
   "n": 3,
   "type_id": 2,
   "question": "EFGH is a rectangle. Find the size of $$\\angle y$$.",
   "answer0": "67",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 197,
   "difficulty_id": 2,
   "explanation": "The diagonal divides the right angle at corner H (90°) into 23° and y. So y = 90° - 23° = 67°.",
   "hints": [
    "Each corner of a rectangle is a right angle (90°).",
    "y and 23° together make the 90° corner at H, so y = 90° - 23°."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q3",
   "image_needed": true,
   "image_options": false,
   "image_file": "q3.png",
   "image_page": 2,
   "image_bbox": [
    0.24,
    0.62,
    0.46,
    0.78
   ],
   "image_loc": "left-middle of page: rectangle EFGH with a diagonal from H, angles y and 23 marked at corner H",
   "notes": "Answer key: 67 degrees."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "Which of the following figures is not a rectangle?",
   "answer0": "Figure A",
   "answer1": "Figure B",
   "answer2": "Figure C",
   "answer3": null,
   "correct_answer": 1,
   "skill_id": 143,
   "difficulty_id": 1,
   "explanation": "A rectangle has four right angles. Figures A and C are rectangles drawn on the grid. Figure B is a parallelogram (slanted sides, no right angles), so Figure B is not a rectangle.",
   "hints": [
    "A rectangle must have four right angles (square corners).",
    "Look for the slanted figure whose corners are not square."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q4",
   "image_needed": true,
   "image_options": false,
   "image_file": "q4.png",
   "image_page": 3,
   "image_bbox": [
    0.19,
    0.14,
    0.6,
    0.31
   ],
   "image_loc": "upper-left of page: grid showing three shaded figures labelled A (top), B (middle, slanted) and C (right, vertical)",
   "notes": "Answer key: Figure B. Figures are inside one grid image (shared), not separate option images, so image_options=false; option labels reference the figure letters in the single image."
  },
  {
   "n": 5,
   "type_id": 2,
   "question": "Round 42.351 to the nearest tenth.",
   "answer0": "42.4",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "Nearest tenth = 1 decimal place. Look at the hundredths digit, 5: since it is 5 or more, round the tenths digit up from 3 to 4. So 42.351 rounds to 42.4.",
   "hints": [
    "Nearest tenth means keep 1 digit after the decimal point.",
    "The next digit is 5, so round up: 42.3 becomes 42.4."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": ""
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "Express 3.75 as a mixed number in its simplest form.",
   "answer0": "3 3/4",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 126,
   "difficulty_id": 2,
   "explanation": "3.75 = 3 + 0.75 = $$3\\frac{75}{100}$$. Simplify $$\\frac{75}{100}$$ by dividing top and bottom by 25 to get $$\\frac{3}{4}$$. So 3.75 = $$3\\frac{3}{4}$$.",
   "hints": [
    "The whole-number part is 3; convert 0.75 to a fraction.",
    "0.75 = $$\\frac{75}{100} = \\frac{3}{4}$$ in simplest form."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 3 3/4. FIB mixed-number answer kept plain as '3 3/4'."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "Arrange these numbers in order from the greatest to the smallest.<br>8.46    0.86    8.6    6.08<br>[?] (greatest), [?], [?], [?]",
   "answer0": "8.6",
   "answer1": "8.46",
   "answer2": "6.08",
   "answer3": "0.86",
   "correct_answer": null,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Compare the whole-number parts first: 8.46 and 8.6 (both 8), 6.08 (6), 0.86 (0). Between 8.6 and 8.46, compare tenths: 6 > 4, so 8.6 > 8.46. Order greatest to smallest: 8.6, 8.46, 6.08, 0.86.",
   "hints": [
    "Line up the decimal points and compare digit by digit from the left.",
    "8.6 is the same as 8.60, which is greater than 8.46."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 8.6, 8.46, 6.08, 0.86. Ordering task converted to a 4-blank FIB (greatest to smallest)."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "Find the sum of 214.39 and 7.8 .",
   "answer0": "222.19",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 129,
   "difficulty_id": 1,
   "explanation": "Line up the decimal points: 214.39 + 7.80 = 222.19.",
   "hints": [
    "Write 7.8 as 7.80 and align the decimal points.",
    "Add: 214.39 + 7.80 = 222.19."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": ""
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "Find the difference between 36.6 and 29.7 .",
   "answer0": "6.9",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 129,
   "difficulty_id": 1,
   "explanation": "Subtract aligning decimal points: 36.6 - 29.7 = 6.9.",
   "hints": [
    "Align the decimal points before subtracting.",
    "36.6 - 29.7 = 6.9."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": ""
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "Find the value of 2.7 x 5 .<br>Round the answer to the nearest whole number.",
   "answer0": "14",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 2,
   "explanation": "2.7 x 5 = 13.5. Rounding 13.5 to the nearest whole number: the tenths digit is 5, so round up to 14.",
   "hints": [
    "First multiply: 2.7 x 5 = 13.5.",
    "13.5 rounds up to 14 (tenths digit 5 rounds up)."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 14."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "A magazine costs $5.90. It is $2.65 cheaper than a book. How much does the book cost?",
   "answer0": "8.55",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "The magazine is $2.65 cheaper than the book, so the book costs more. Book = $5.90 + $2.65 = $8.55.",
   "hints": [
    "'The magazine is cheaper' means the book costs more than $5.90.",
    "Add the difference: $5.90 + $2.65 = $8.55."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: $8.55. Answer in dollars (Ans: $ ___)."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "JKLM is a square. Find $$\\angle PJN$$.",
   "answer0": "16",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 197,
   "difficulty_id": 3,
   "explanation": "The corner at J is a right angle (90°) because JKLM is a square. Two lines from J split this corner into 37°, angle PJN, and 37°. So angle PJN = 90° - 37° - 37° = 16°.",
   "hints": [
    "Each corner of a square is 90°.",
    "The 90° at J is split into 37°, angle PJN and 37°, so PJN = 90 - 37 - 37."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q12",
   "image_needed": true,
   "image_options": false,
   "image_file": "q12.png",
   "image_page": 5,
   "image_bbox": [
    0.3,
    0.64,
    0.55,
    0.82
   ],
   "image_loc": "middle of page: square JKLM with two lines drawn from J to points N and P, two 37 degree angles marked at J",
   "notes": "Answer key: 90 - 74 = 16 degrees."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Mr Seah earned $2745. He spent $$\\frac{7}{9}$$ of his earnings and saved the rest. How much did Mr Seah save?",
   "answer0": "610",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "He spent $$\\frac{7}{9}$$, so he saved $$\\frac{2}{9}$$. The whole (9 units) = $2745, so 1 unit = 2745 ÷ 9 = $305. Saved = 2 units = 305 x 2 = $610.",
   "hints": [
    "Saved fraction = 1 - $$\\frac{7}{9}$$ = $$\\frac{2}{9}$$.",
    "Find 1/9 first: 2745 ÷ 9 = 305, then 2/9 = 305 x 2."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: $610."
  },
  {
   "n": 14,
   "type_id": 2,
   "question": "A box contained some beads. Aisha took $$\\frac{2}{5}$$ of the beads. She took 78 beads. How many beads were there in the box at first?",
   "answer0": "195",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 122,
   "difficulty_id": 2,
   "explanation": "$$\\frac{2}{5}$$ of the beads = 78, so 2 units = 78 and 1 unit = 78 ÷ 2 = 39. The whole box = 5 units = 39 x 5 = 195 beads.",
   "hints": [
    "2 units ($$\\frac{2}{5}$$) equal 78 beads.",
    "1 unit = 78 ÷ 2 = 39; the whole is 5 units."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 195."
  },
  {
   "n": 15,
   "type_id": 2,
   "question": "Devi mixed 4.05 kg of hazelnuts with 3.9 kg of cashew nuts to pack into 5 similar packets equally. What was the mass of 1 such packet of nuts? Leave your answer as a decimal.",
   "answer0": "1.59",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Total mass = 4.05 + 3.9 = 7.95 kg. Divided equally into 5 packets: 7.95 ÷ 5 = 1.59 kg per packet.",
   "hints": [
    "First add both masses: 4.05 + 3.9 = 7.95 kg.",
    "Divide the total by 5: 7.95 ÷ 5 = 1.59 kg."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 1.59 kg. Answer in kg as a decimal."
  },
  {
   "n": 16,
   "type_id": 2,
   "question": "Ahmad and Caili had an equal amount of money at first. After Ahmad had received $30.50 from his mother and Caili had spent $20, he had three times as much money as Caili. How much money did each of them have at first?",
   "answer0": "45.25",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let each start with the same amount. After the changes Ahmad has (start + 30.50) and Caili has (start - 20), and Ahmad = 3 x Caili. The difference between them is 30.50 + 20 = $50.50, which equals 2 of Caili's units (since 3 units - 1 unit = 2 units). So 1 unit (Caili after) = 50.50 ÷ 2 = $25.25. Caili's starting amount = 25.25 + 20 = $45.25. Each had $45.25 at first.",
   "hints": [
    "Ahmad ends with 3 units and Caili with 1 unit; the gap is 30.50 + 20 = $50.50.",
    "2 units = $50.50, so Caili-after = $25.25; add back the $20 she spent to get the start."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q16",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key working: 2u = 20 + 30.50 = 50.50; 1u = 25.25; Caili start = 25.25 + 20 = $45.25 (each had $45.25 at first)."
  },
  {
   "n": 17,
   "type_id": 2,
   "question": "Morris, Randy and Timothy have 2439 stickers altogether. Morris have twice as many stickers as Randy. Timothy have three times as many stickers as Morris. How many stickers does Timothy have?",
   "answer0": "1626",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Let Randy = 1 unit. Morris = twice Randy = 2 units. Timothy = three times Morris = 6 units. Total = 1 + 2 + 6 = 9 units = 2439, so 1 unit = 2439 ÷ 9 = 271. Timothy = 6 units = 271 x 6 = 1626 stickers.",
   "hints": [
    "Set Randy = 1 unit, Morris = 2 units, Timothy = 2 x 3 = 6 units.",
    "Total 9 units = 2439, so 1 unit = 271; Timothy = 6 units."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q17",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: 1u = 2439 ÷ 9 = 271; Timothy = 6u = 1626."
  },
  {
   "n": 18,
   "type_id": 2,
   "question": "A cupcake cost $4 and a muffin cost $3. Mrs Lee spent $357 to buy an equal number of cupcakes and muffins. What was the total number of cupcakes and muffins Mrs Lee had bought?",
   "answer0": "102",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "One cupcake plus one muffin (a pair) costs (1 x $4) + (1 x $3) = $4 + $3 = $7. Number of pairs = 357 ÷ 7 = 51. Each pair has 2 items, so total = 51 x 2 = 102 cupcakes and muffins.",
   "hints": [
    "Group one cupcake with one muffin: each pair costs $4 + $3 = $7.",
    "Pairs = 357 ÷ 7 = 51; total items = 51 x 2."
   ],
   "source": "Rosyth 2022 P4 Weighted Assessment 3 Q18",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key: (1x4)+(1+3)=7; 357÷7=51; 51x2=102."
  }
 ]
}