{ "paper": { "school": "Henry Park", "year": 2025, "level": "P5", "label": "Weighted Assessment 2", "source_prefix": "Henry Park 2025 P5 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "A baker can bake 75 similar cakes in 30 days. At this rate, how many cakes can the baker bake in 6 days? [?]", "answer0": "15", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 1, "explanation": "6 days is 30 ÷ 6 = 1/5 of 30 days, so the baker bakes 75 ÷ 5 = 15 cakes in 6 days.", "hints": ["6 days is one-fifth of 30 days.", "Divide the 75 cakes by 5."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Printed key works 30 ÷ 5 = 6 and 75 ÷ 5 = 16; the 16 is a typo — 75 ÷ 5 = 15. Correct answer is 15 cakes." }, { "n": 2, "type_id": 2, "question": "Andy cycles at the same rate throughout from home to work. The graph shows the distance Andy cycles for the first 15 minutes. The distance between Andy's home and his workplace is 9 km. How many minutes does Andy take to cycle to work? [?]", "answer0": "22.5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "From the graph, Andy cycles 6 km in 15 minutes, i.e. 2 km every 5 minutes. He needs 9 km: 6 km takes 15 min, the extra 3 km takes 3 ÷ 2 × 5 = 7.5 min. Total = 15 + 7.5 = 22.5 min.", "hints": ["Read the rate from the graph: how far in 5 minutes?", "Work out the time for the remaining distance beyond what the graph shows."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q2", "image_needed": true, "image_options": false, "image_file": "q2.png", "image_page": 2, "image_bbox": [0.34, 0.43, 0.8, 0.66], "image_loc": "line graph 'Distance Cycled by Andy' (distance in km vs time in min) in the middle of the page", "notes": "Answer key: 22.5 min." }, { "n": 3, "type_id": 2, "question": "ABCD is a square. Find the area of the shaded part. [?]", "answer0": "40", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 2, "explanation": "Square area = 12 × 12 = 144 cm². The two unshaded triangles are ½ × 8 × 12 = 48 cm² and the corner triangle ½ × 4 × 4 = 8 cm². Shaded = 144 − 48 × 2... using the key: 144 − 48 − 48 − 8 = 40 cm². (Shaded triangle has base 4 cm and the square side 12 cm.)", "hints": ["Find the whole square's area first.", "Subtract the unshaded triangle areas using ½ × base × height."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 3, "image_bbox": [0.22, 0.15, 0.52, 0.36], "image_loc": "square ABCD with a shaded triangle inside, side 12 cm and base segment 4 cm marked, upper-left of the page", "notes": "Answer key: 40 cm². Answer in cm²." }, { "n": 4, "type_id": 2, "question": "Sam wants to fit some 3-cm cubes into a 30 cm by 25 cm by 11 cm tank. What is the maximum number of such cubes Sam can fit into the tank? [?]", "answer0": "240", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 193, "difficulty_id": 2, "explanation": "Along each edge, fit whole 3-cm cubes: 30 ÷ 3 = 10, 25 ÷ 3 = 8 (remainder 1), 11 ÷ 3 = 3 (remainder 2). Maximum cubes = 10 × 8 × 3 = 240.", "hints": ["Find how many 3-cm cubes fit along each side, ignoring the leftover.", "Multiply the three whole-number counts."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 240 (printed on the answer line)." }, { "n": 5, "type_id": 2, "question": "The figure is made up of 6 identical small rectangles. The length of AB is 96 cm.
(a) Find the length of each rectangle. [?]
(b) Find the area of the shaded triangle. [?]", "answer0": "64", "answer1": "1024", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 3, "explanation": "(a) AB (96 cm) spans 6 half-widths of the rectangles: 96 ÷ 6 = 16 cm per unit; each rectangle's length = 16 × 4 = 64 cm. (b) The shaded triangle has base 64 cm and height 32 cm (16 × 2), so area = ½ × 64 × 32 = 1024 cm².", "hints": ["For (a) divide AB into the equal parts that make up the rectangles.", "For (b) find the base and height of the shaded triangle, then ½ × base × height."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 4, "image_bbox": [0.2, 0.17, 0.52, 0.34], "image_loc": "rectangle made of 6 identical small rectangles with a shaded diagonal triangle, AB = 96 cm marked, upper-left of the page", "notes": "Answer key: (a) 64 cm, (b) 1024 cm²." }, { "n": 6, "type_id": 2, "question": "The table shows the rates for renting roller blades: 1st hour costs $10.00; every subsequent \\(\\dfrac{1}{2}\\) hour or part thereof costs $6.50. Tim rented a pair of roller blades for \\(3\\dfrac{3}{4}\\) hours. How much did he pay in total? [?]", "answer0": "49", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "First hour = $10.00. The remaining 2¾ hours is charged in ½-hour blocks (part thereof rounds up): 2¾ hours = 6 blocks of ½ hour. Cost = $10 + 6 × $6.50 = $10 + $39 = $49.", "hints": ["Charge the first hour at $10, then count the half-hour blocks after that.", "Round any part of a half-hour up to a full block."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 5, "image_bbox": [0.22, 0.13, 0.68, 0.22], "image_loc": "two-row rate table ('1st hour $10.00' and 'Every subsequent ½ hour or part thereof $6.50'), top of the page", "notes": "Answer key: $49. Answer in dollars." }, { "n": 7, "type_id": 2, "question": "A rectangular container measuring 30 cm by 20 cm by 60 cm is filled with water up to \\(\\dfrac{2}{3}\\) of its height. Water flows into the container at a rate of 0.6 ℓ per minute. How much water is there in the container after 15 minutes? Give your answer in litres. [?]", "answer0": "33", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 193, "difficulty_id": 3, "explanation": "Full volume = 30 × 20 × 60 = 36 000 cm³. Water at start = 2/3 × 36 000 = 24 000 cm³ = 24 ℓ. Added in 15 min = 0.6 × 15 = 9 ℓ. Total = 24 + 9 = 33 ℓ.", "hints": ["Find the starting amount of water as 2/3 of the full volume (1 cm³ = 1 mℓ).", "Add the water that flows in over 15 minutes."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 5, "image_bbox": [0.2, 0.55, 0.45, 0.79], "image_loc": "rectangular container 30 cm by 20 cm by 60 cm partly filled with water, lower-left of the page", "notes": "Answer key: 33 ℓ. Answer in litres." }, { "n": 8, "type_id": 2, "question": "Imaan had a sum of money. He spent \\(\\dfrac{3}{7}\\) of it on a watch and \\(\\dfrac{1}{5}\\) of the remaining money on shoes. He then gave $175 to his sister and had $305 left.
(a) How much did Imaan spend on the shoes? [?]
(b) How much money did Imaan have at first? [?]", "answer0": "120", "answer1": "1050", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 165, "difficulty_id": 3, "explanation": "Let the total be 35 units. Watch = 3/7 = 15 units, leaving 20 units. Shoes = 1/5 of 20 = 4 units, leaving 16 units. These 16 units = $305 + $175 = $480, so 1 unit = $30. (a) Shoes = 4 × $30 = $120. (b) At first = 35 × $30 = $1050.", "hints": ["Use 35 units so 3/7 and 1/5 are whole numbers of units.", "The 16 units left equal the $305 kept plus the $175 given away."], "source": "Henry Park 2025 P5 Weighted Assessment 2 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: (a) $120, (b) $1050. Both answers in dollars." } ] }