{
 "paper": {
  "school": "Henry Park",
  "year": 2023,
  "level": "P4",
  "label": "Weighted Assessment 2",
  "source_prefix": "Henry Park 2023 P4 Weighted Assessment 2",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 2,
   "question": "ABCD is a rectangle. Find ∠BCA. [?]",
   "answer0": "38",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 197,
   "difficulty_id": 2,
   "explanation": "Method: angle BCD is a right angle (corner of a rectangle), so ∠BCA + ∠ACD = 90°. The figure marks ∠ACD = 52°. So ∠BCA = 90° − 52° = 38°.",
   "hints": [
    "Each corner of a rectangle is 90°.",
    "∠BCA = 90° − 52°."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q1",
   "image_needed": true,
   "image_options": false,
   "image_file": "q1.png",
   "image_page": 1,
   "image_bbox": [
    0.2,
    0.45,
    0.5,
    0.72
   ],
   "image_loc": "rectangle ABCD diagonal figure with 52° angle marked at C, left-centre of page",
   "notes": "Answer key Q1 = 38°. Diagonal AC drawn, angle 52° marked between DC and CA at corner C."
  },
  {
   "n": 2,
   "type_id": 0,
   "question": "There are 2 figures. Put a tick if the figure is symmetric and a cross if the figure is not symmetric.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 144,
   "difficulty_id": 1,
   "explanation": "(a) The 'no-entry' / circle-with-diagonal-bar figure is symmetric (tick). (b) The lightning-bolt / zig-zag figure is not symmetric (cross).",
   "hints": [
    "A figure is symmetric if one half is a mirror image of the other.",
    "Try folding the figure along a line."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q2",
   "image_needed": true,
   "image_options": false,
   "image_file": "q2.png",
   "image_page": 2,
   "image_bbox": [
    0.18,
    0.18,
    0.62,
    0.4
   ],
   "image_loc": "table with two figures: (a) circle with diagonal bar, (b) lightning bolt",
   "notes": "type_id 0: interactive tick/cross task, skipped on insert. Answer key: (a) tick (symmetric), (b) cross (not symmetric)."
  },
  {
   "n": 3,
   "type_id": 2,
   "question": "Arrange these numbers in descending order.<br>2.04, 4.2, 2.402, 4.204<br>[?], [?], [?], [?]",
   "answer0": "4.204",
   "answer1": "4.2",
   "answer2": "2.402",
   "answer3": "2.04",
   "correct_answer": null,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Descending = largest to smallest. Compare whole-number parts then decimal places: 4.204 and 4.2 (i.e. 4.200) both start with 4; 4.204 > 4.200. Then 2.402 > 2.04 (2.040). Order: 4.204, 4.2, 2.402, 2.04.",
   "hints": [
    "Descending means largest first.",
    "Line up the decimal points and compare digit by digit."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q3 = 4.204, 4.2, 2.402, 2.04. Four blanks in descending order."
  },
  {
   "n": 4,
   "type_id": 2,
   "question": "Divide 82.23 by 3.<br>82.23 ÷ 3 = [?]",
   "answer0": "27.41",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 130,
   "difficulty_id": 2,
   "explanation": "82.23 ÷ 3: 8 ÷ 3 = 2 r 2; 22 ÷ 3 = 7 r 1; bring decimal, 12 ÷ 3 = 4; 3 ÷ 3 = 1. So 82.23 ÷ 3 = 27.41.",
   "hints": [
    "Divide the whole-number part first, then carry the remainder to the decimals.",
    "Keep the decimal point aligned in the quotient."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q4 = 27.41."
  },
  {
   "n": 5,
   "type_id": 0,
   "question": "(a) The square grid shows the side AB of square ABCD. Complete the square ABCD by drawing 3 more lines in the grid. Label the square. (b) Shade 3 more squares to complete the figure with PQ as the line of symmetry.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 201,
   "difficulty_id": 2,
   "explanation": "(a) AB is a diagonal side of length sqrt(2) grid units; draw the three remaining equal sides at right angles to form a square (tilted), labelling C and D. (b) Reflect each already-shaded square across the vertical line PQ; shade the 3 mirror-image squares to make the figure symmetric about PQ.",
   "hints": [
    "A square has 4 equal sides and 4 right angles.",
    "For symmetry, each shaded square has a mirror partner the same distance on the other side of PQ."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 3,
   "image_bbox": [
    0.22,
    0.12,
    0.78,
    0.78
   ],
   "image_loc": "two grids: (a) grid with side AB drawn, (b) grid with shaded squares and vertical line PQ",
   "notes": "type_id 0: interactive draw/shade task, skipped on insert. Answer key shows completed tilted square and shaded symmetric figure."
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "(a) Express 0.85 as a fraction in its simplest form. [?]<br>(b) Express $$\\frac{7}{25}$$ as a decimal. [?]",
   "answer0": "17/20",
   "answer1": "0.28",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 126,
   "difficulty_id": 2,
   "explanation": "(a) 0.85 = 85/100. Divide numerator and denominator by 5: 85/100 = 17/20. (b) 7/25 = 28/100 (multiply top and bottom by 4) = 0.28.",
   "hints": [
    "0.85 = 85 hundredths; simplify by dividing by the common factor 5.",
    "Make the denominator 100: 25 × 4 = 100, so multiply the numerator by 4 too."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q6 (a) = 17/20, (b) = 0.28. FIB answers kept plain (17/20 not LaTeX)."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "The mass of a laptop is 1.32 kg. The mass of a tablet is 0.28 kg less than the laptop. What is the mass of the tablet?<br>[?]",
   "answer0": "1.04",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 1,
   "explanation": "Tablet mass = laptop mass − 0.28 = 1.32 kg − 0.28 kg = 1.04 kg.",
   "hints": [
    "'0.28 kg less than' means subtract 0.28 from the laptop's mass.",
    "1.32 − 0.28 = 1.04."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q7 = 1.04 kg. Answer in kg."
  },
  {
   "n": 8,
   "type_id": 1,
   "question": "XY is a line on the figures shown. Is XY a line of symmetry for figure (ii), the parallelogram?",
   "answer0": "Yes",
   "answer1": "No",
   "answer2": null,
   "answer3": null,
   "correct_answer": 1,
   "skill_id": 145,
   "difficulty_id": 2,
   "explanation": "A line of symmetry divides a figure into two halves that are mirror images. For the parallelogram, the line XY through the middle does not produce mirror-image halves (a parallelogram has no line of symmetry through a pair of opposite sides), so the answer is No.",
   "hints": [
    "Fold the figure along XY — do the two halves match exactly?",
    "A parallelogram (non-rectangle) has no line of symmetry."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q8",
   "image_needed": true,
   "image_options": false,
   "image_file": "q8.png",
   "image_page": 5,
   "image_bbox": [
    0.45,
    0.55,
    0.85,
    0.72
   ],
   "image_loc": "figure (ii): a parallelogram with dashed line XY drawn horizontally through its middle",
   "notes": "Original Q8 has 3 parts: (a) draw the symmetric figure (interactive, dropped), (b)(i) arrow-cross figure with diagonal XY → key 'No', (b)(ii) parallelogram with horizontal XY → key 'No'. Converted to a single MCQ on the parallelogram part (b)(ii); answer key (b)(i)=No, (b)(ii)=No. Figure (i) draw/(a) portions skipped as non-servable."
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "Mr Lim bought a shirt which cost $23.80 and a pair of pants which cost $49.70. He gave the cashier $100. How much change did he receive?<br>$[?]",
   "answer0": "26.50",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Total cost = $23.80 + $49.70 = $73.50. Change = $100 − $73.50 = $26.50.",
   "hints": [
    "First add the two prices to find the total spent.",
    "Subtract the total from $100."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q9 = $26.50."
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "The total mass of a box and a book is 2.55 kg. When some files are added into the box, the total mass becomes 3.1 kg. The book is 4 times as heavy as the files.<br>(a) What is the mass of the files? [?]<br>(b) What is the mass of the box when it is empty? Give your answer in kilograms. [?]",
   "answer0": "0.55",
   "answer1": "0.35",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "(a) Mass of files = 3.1 kg − 2.55 kg = 0.55 kg. (b) The book is 4 times the files: book = 0.55 × 4 = 2.20 kg. Box (empty) = (box + book) − book = 2.55 − 2.20 = 0.35 kg.",
   "hints": [
    "The added mass when files go in equals the mass of the files.",
    "Find the book's mass (4 × files), then subtract it from the box+book total."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q10 (a) = 0.55 kg, (b) = 0.35 kg. Both answers in kg."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "A jar can contain twice as much orange juice as a bottle. 3 such bottles and 2 such jars can contain 196.21 $$l$$ of orange juice in total.<br>(a) How much orange juice can 1 such bottle contain? [?]<br>(b) How much orange juice does 2 jars contain? [?]",
   "answer0": "28.03",
   "answer1": "112.12",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "1 jar = 2 bottles, so 2 jars = 4 bottles. Total = 3 bottles + 2 jars = 3 + 4 = 7 bottles = 196.21 L. (a) 1 bottle = 196.21 ÷ 7 = 28.03 L. (b) 2 jars = 4 bottles = 28.03 × 4 = 112.12 L.",
   "hints": [
    "Convert the jars into bottle-units: 1 jar = 2 bottles.",
    "Total of 7 bottle-units = 196.21 L; divide to find one bottle."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q11 (a) = 28.03 L, (b) = 112.12 L. Answers in litres."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Tommy and Siti have some rice. The total mass of the rice is 789.4 kg. When Siti gives Tommy 36.8 kg of rice, they will have the same mass of rice each. What was the mass of rice Tommy had at first?<br>[?]",
   "answer0": "357.9",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "After the transfer they are equal, so each has 789.4 ÷ 2 = 394.7 kg. Tommy ended with 394.7 kg after receiving 36.8 kg, so at first Tommy had 394.7 − 36.8 = 357.9 kg.",
   "hints": [
    "After sharing equally, each person has half the total.",
    "Tommy received 36.8 kg, so subtract it from his final amount to get his starting amount."
   ],
   "source": "Henry Park 2023 P4 Weighted Assessment 2 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Answer key Q12 = 357.9 kg."
  }
 ]
}