{
  "paper": {
    "school": "Henry Park",
    "year": 2023,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Henry Park 2023 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Ahmad had 380 kg of flour. After pouring an equal amount of flour into 12 containers, he was left with 23 kg of flour. How much flour did he pour into each container? Express your answer as a decimal. [?] kg",
      "answer0": "29.75",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 1,
      "explanation": "Flour poured into containers = 380 - 23 = 357 kg. Each container = 357 ÷ 12 = 29.75 kg.",
      "hints": ["First subtract the flour left over from the starting amount.", "Then divide the flour poured out equally among the 12 containers."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 29.75 (380-23=357; 357÷12=29.75)."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Ethan, Farid and Gavin shared some sweets in the ratio of 5 : 4 : 7. Farid received 108 sweets. How many more sweets did Gavin receive than Ethan? [?]",
      "answer0": "54",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Farid's 4 units = 108, so 1 unit = 108 ÷ 4 = 27. Gavin minus Ethan = 7 units - 5 units = 2 units = 2 × 27 = 54 sweets.",
      "hints": ["Farid's share of 4 units equals 108, so find the value of 1 unit.", "The difference between Gavin (7 units) and Ethan (5 units) is 2 units."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 54 (1U=27, 2U=54)."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "ABCD is a rectangle with a shaded triangle AED. Find the area of the triangle AED. [?] m²",
      "answer0": "228",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "AB = 35 m and E is 16 m from BC, so the base AD-related length used is 35 - 16 = 19 m; the height is 24 m. Area of triangle AED = ½ × 24 × 19 = 228 m².",
      "hints": ["The height of the triangle equals the width of the rectangle, 24 m.", "Area of a triangle = ½ × base × height."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 3,
      "image_bbox": [0.19, 0.13, 0.65, 0.31],
      "image_loc": "upper-middle of page, rectangle ABCD with shaded triangle AED, dimensions 35 m, 24 m, 16 m",
      "notes": "Answer key: 228 m² (length 35-16=19; ½×24×19=228)."
    },
    {
      "n": 4,
      "type_id": 0,
      "question": "Mark donated \\(\\dfrac{2}{5}\\) of his savings to a charity. He spent $55 on toys and had \\(\\dfrac{1}{2}\\) of his savings left. For each statement, indicate whether it is True, False or Not possible to tell.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 159,
      "difficulty_id": 2,
      "explanation": "Mark donated 2/5 and had 1/2 left, so the fraction spent on toys = 1 - 2/5 - 1/2 = 1/10. Statement 1 'donated more than left': 2/5 (0.4) vs 1/2 (0.5) so donated is LESS than left = False. Statement 2 'spent 1/5 on toys': he spent 1/10, not 1/5 = False. Statement 3 'donated $220': toys are 1/10 = $55, so 1 unit (1/10) = $55 and savings = $550; donated 2/5 = $220 = True.",
      "hints": ["Find the fraction spent on toys: 1 - 2/5 - 1/2.", "The $55 spent on toys equals 1/10 of savings, so find total savings."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Interactive True/False/Not-possible-to-tell grid — no app question type, type_id 0, SKIPPED on insert. Answer key: (1) False, (2) False, (3) True."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Aisha spent \\(\\dfrac{1}{3}\\) of her money on a gift. She spent \\(\\dfrac{1}{6}\\) of her remaining money on clothes and had $340.25 left. How much money did she have at first? $[?]",
      "answer0": "612.45",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "After the gift, \\(\\dfrac{2}{3}\\) of her money remained. She spent \\(\\dfrac{1}{6}\\) of that on clothes, so \\(\\dfrac{5}{6}\\) of the remaining = $340.25. Remaining after gift = 340.25 ÷ 5 × 6 = $408.30. This is \\(\\dfrac{2}{3}\\) of the total, so total = 408.30 ÷ 2 × 3 = $612.45.",
      "hints": ["After the gift, two-thirds of the money is left; the clothes take one-sixth of that.", "Work backwards: $340.25 is five-sixths of the money remaining after the gift."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $612.45."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "The usual price of a printer is $489, excluding GST. Mr Tan bought the printer at a discount of 25%. He had to pay 8% GST on the discounted price. How much did he pay for the printer? $[?]",
      "answer0": "396.09",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "Discounted price = 75% of $489 = $366.75. GST = 8% × $366.75 = $29.34. Total paid = $366.75 + $29.34 = $396.09.",
      "hints": ["A 25% discount means he pays 75% of the usual price.", "Add 8% GST onto the discounted price to get the amount paid."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $396.09 (discounted $366.75; GST $29.34)."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "A rectangular tank, measuring 50 cm by 20 cm by 40 cm, was filled with water to a height of 28 cm. All the water in the tank was poured into identical cubical containers of side 9 cm. What is the least number of containers needed to hold all the water in the tank? [?]",
      "answer0": "39",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 193,
      "difficulty_id": 3,
      "explanation": "Volume of water = 50 × 20 × 28 = 28 000 cm³. Volume of one cubical container = 9 × 9 × 9 = 729 cm³. 28 000 ÷ 729 = 38.4..., so at least 39 containers are needed.",
      "hints": ["Use the water height of 28 cm (not the tank height) to find the water volume.", "Divide by the cube's volume and round UP, since a part-filled container still counts."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 5,
      "image_bbox": [0.18, 0.16, 0.72, 0.38],
      "image_loc": "upper-middle of page, the rectangular tank (50/20/40 cm, water 28 cm) on the left and the 9 cm cubical container on the right",
      "notes": "Answer key: 39 (28000÷729=38.4, round up)."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Lynn baked some vanilla and banana muffins for sale in the ratio of 7 : 10. She collected a total of $1647 from the sale of 102 vanilla muffins and 40% of the banana muffins. Given that all the muffins were sold at $4.50 each, how many vanilla muffins did she have left in the end? [?]",
      "answer0": "360",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Muffins sold = $1647 ÷ $4.50 = 366. Sold banana = 366 - 102 = 264, which is 40% of all banana, so total banana = 264 ÷ 0.4 = 660. Vanilla : banana = 7 : 10, so total vanilla = 660 ÷ 10 × 7 = 462. Vanilla left = 462 - 102 = 360.",
      "hints": ["Divide the total collection by $4.50 to find how many muffins were sold.", "The 264 banana muffins sold are 40% of the banana muffins; use the 7:10 ratio to find total vanilla."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 360 (total muffins 366; banana total 660; vanilla total 462; left 462-102=360)."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Joseph needs 5 minibuses and 4 big buses to transport 274 passengers to the stadium. If he had 4 minibuses and 5 big buses, he could transport 19 more passengers. How many passengers can a big bus transport to the stadium? [?]",
      "answer0": "41",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "5 minibuses + 4 big buses = 274; 4 minibuses + 5 big buses = 274 + 19 = 293. Adding both: 9 minibuses + 9 big buses = 567, so 1 minibus + 1 big bus = 63. Subtracting the first from the second: 1 big bus - 1 minibus = 19. So a big bus = (63 + 19) ÷ 2 = 41 passengers.",
      "hints": ["Write the second scenario as 4 minibuses + 5 big buses = 274 + 19 = 293.", "Add the two equations to get the value of one minibus plus one big bus, then use the difference of 19."],
      "source": "Henry Park 2023 P5 Weighted Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 41."
    }
  ]
}