{ "paper": { "school": "Catholic High", "year": 2024, "level": "P5", "label": "Weighted Assessment 3", "source_prefix": "Catholic High 2024 P5 Weighted Assessment 3", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "The number line is marked at equal intervals. What is the value represented by A?", "answer0": "6.3", "answer1": "6.6", "answer2": "6.03", "answer3": "6.06", "correct_answer": 3, "skill_id": 149, "difficulty_id": 2, "explanation": "From 5.9 to 6.0 spans 1 interval, so each interval is 0.01. The marks run 5.9, 5.91, 5.92, ... A is 6 intervals past 6.0, i.e. 6.0 + 6 × 0.01 = 6.06.", "hints": [ "Find the value of one interval using the gap from 5.9 to 6.0.", "5.9 to 6.0 is one labelled gap covering 10 small intervals, so each small interval is 0.01." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q1", "image_needed": true, "image_options": false, "image_file": "q1.png", "image_page": 1, "image_bbox": [0.30, 0.40, 0.62, 0.48], "image_loc": "number line below the question, upper-middle of page 1", "notes": "Answer key: option 4 (6.06)." }, { "n": 2, "type_id": 1, "question": "There were 900 pupils in the hall. 60% of the pupils were boys and the rest were girls. How many girls were there in the hall?", "answer0": "180", "answer1": "360", "answer2": "540", "answer3": "860", "correct_answer": 1, "skill_id": 174, "difficulty_id": 1, "explanation": "Girls = 100% − 60% = 40% of 900. \\(\\dfrac{40}{100} \\times 900 = 360\\) girls.", "hints": [ "If 60% are boys, what percentage are girls?", "Find 40% of 900." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 2 (360)." }, { "n": 3, "type_id": 1, "question": "The average of six numbers is 42. The sum of the first five numbers is 215. What is the sixth number?", "answer0": "37", "answer1": "43", "answer2": "173", "answer3": "257", "correct_answer": 0, "skill_id": 152, "difficulty_id": 2, "explanation": "Total of six numbers = 42 × 6 = 252. Sixth number = 252 − 215 = 37.", "hints": [ "Total = average × number of values.", "Subtract the sum of the first five from the total of all six." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 1 (37)." }, { "n": 4, "type_id": 1, "question": "The table shows the bulk post charges between two countries.
Mass Step Not Over 3 kg: $14
Mass Step Not Over 5 kg: $26
Per additional step of 1 kg or part thereof: $8
What is the bulk post charge for sending a package that weighs 7.3 kg?", "answer0": "$34", "answer1": "$40", "answer2": "$50", "answer3": "$64", "correct_answer": 2, "skill_id": 152, "difficulty_id": 3, "explanation": "Up to 5 kg costs $26. Beyond 5 kg, 7.3 kg needs 3 more steps of 1 kg or part thereof (5–6, 6–7, 7–7.3) at $8 each = 3 × $8 = $24. Total = $26 + $24 = $50.", "hints": [ "The first 5 kg is charged at the flat $26 rate.", "Round each additional kilogram (or part of one) up to a whole step at $8." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 3 ($50). Table content folded into the stem." }, { "n": 5, "type_id": 2, "question": "The figure is made up of 20 identical squares. What percentage of the figure is shaded? [?]%", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 171, "difficulty_id": 2, "explanation": "The shaded region is made up of 5 full squares plus 2 half-square triangles = 5 + 1 = 6 squares. \\(\\dfrac{6}{20} \\times 100\\% = 30\\%\\).", "hints": [ "Count the shaded squares; two triangular halves combine into one whole square.", "Percentage = \\(\\dfrac{\\text{shaded squares}}{20} \\times 100\\%\\)." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_bbox": [0.31, 0.23, 0.50, 0.34], "image_loc": "5-by-4 grid of squares with shaded cells, below the question on page 3", "notes": "Answer key: 5 + 1 = 6 shaded squares; 6/20 = 30%. Count the figure to confirm shaded cells." }, { "n": 6, "type_id": 2, "question": "Carol bought a dress which included a GST of 9%. The price of the dress before GST was $70. How much did Carol pay for the dress?
Ans: $[?]", "answer0": "76.30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 2, "explanation": "GST = \\(\\dfrac{9}{100} \\times 70 = 6.30\\). Total paid = $70 + $6.30 = $76.30.", "hints": [ "Find 9% of $70 first.", "Add the GST to the price before GST." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: $76.30." }, { "n": 7, "type_id": 2, "question": "Mr Lee had $4500 in his bank account. The bank paid 3% interest at the end of each year. How much interest did he earn at the end of 1 year?
Ans: $[?]", "answer0": "135", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 1, "explanation": "Interest = \\(\\dfrac{3}{100} \\times 4500 = 135\\). Mr Lee earned $135.", "hints": [ "Interest for one year is 3% of the amount in the account.", "Find 3% of $4500." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: $135." }, { "n": 8, "type_id": 2, "question": "The table shows the number of muffins sold from Monday to Friday. Find the average number of muffins sold on each day.
Mon: 0, Tue: 42, Wed: 70, Thu: 38, Fri: 50
Ans: [?]", "answer0": "40", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 2, "explanation": "Total muffins = 0 + 42 + 70 + 38 + 50 = 200. Average = 200 ÷ 5 = 40 per day.", "hints": [ "Add up the muffins sold across all five days (including Monday's 0).", "Divide the total by 5 days." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 200 ÷ 5 = 40. Table content folded into the stem." }, { "n": 9, "type_id": 2, "question": "The usual price of a dining table was $950. During a sale, all items were sold at 20% discount. What was the price of the dining table after the discount?
Ans: $[?]", "answer0": "760", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 2, "explanation": "After a 20% discount, the table costs 80% of $950. \\(\\dfrac{80}{100} \\times 950 = 760\\). Price after discount = $760.", "hints": [ "A 20% discount means you pay 80% of the usual price.", "Find 80% of $950." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: $760." }, { "n": 10, "type_id": 2, "question": "Mrs Lim bakes 6 cupcakes every 10 minutes. At this rate, how many cupcakes could she bake in 2 hours?
Ans: [?]", "answer0": "72", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 2, "explanation": "In 1 hour (60 min) she bakes 6 × 6 = 36 cupcakes. In 2 hours she bakes 36 × 2 = 72 cupcakes.", "hints": [ "Find how many cupcakes she bakes in 1 hour first.", "60 minutes contains six 10-minute periods." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 36 × 2 = 72." }, { "n": 11, "type_id": 2, "question": "A box of 20 identical tennis balls has a mass of 1.58 kg. The empty box has a mass of 420 g. Find the mass of each tennis ball in kilograms.
Ans: [?] kg", "answer0": "0.058", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 166, "difficulty_id": 2, "explanation": "420 g = 0.42 kg. Mass of 20 balls = 1.58 − 0.42 = 1.16 kg. Each ball = 1.16 ÷ 20 = 0.058 kg.", "hints": [ "Convert the empty box mass 420 g to kilograms, then subtract from the total.", "Divide the mass of all 20 balls by 20." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 1.58 − 0.42 = 1.16; 1.16 ÷ 20 = 0.058 kg." }, { "n": 12, "type_id": 2, "question": "A machine at a factory fills an equal number of bottles with chilli every minute. The line graph shows the number of bottles filled with chilli over 5 minutes.
(a) How many bottles of chilli does the machine fill in 3 minutes? [?]
(b) At this rate, how much time will the machine take to fill 184 bottles of chilli? [?] minutes", "answer0": "24", "answer1": "23", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 2, "explanation": "From the graph, 5 minutes fills 40 bottles, so the rate is 8 bottles per minute. (a) In 3 minutes: 8 × 3 = 24 bottles. (b) Time for 184 bottles = 184 ÷ 8 = 23 minutes.", "hints": [ "Read the graph: at 5 minutes the line reaches 40 bottles, so find the bottles-per-minute rate.", "(b) Divide 184 by the per-minute rate to get the time in minutes." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_bbox": [0.24, 0.17, 0.80, 0.42], "image_loc": "line graph 'Number of Bottles Filled with Chilli' (y: Number of Bottles 0-40, x: Time 1-5 minutes), top of page 7", "notes": "Answer key: 12a = 24, 12b = 184 ÷ 8 = 23 mins. Rate 8 bottles/min derived from graph (40 bottles at 5 min)." }, { "n": 13, "type_id": 2, "question": "The total cost of a bag, a watch and a jacket was $332.10. The watch cost $13.60 less than the jacket. The watch cost thrice as much as a bag. What was the cost of the jacket?
Ans: $[?]", "answer0": "150.10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "Replace the jacket with (watch + $13.60). Total = bag + watch + (watch + $13.60) = $332.10, so bag + 2 watches = $332.10 − $13.60 = $318.50. The watch is thrice the bag, so bag + 2 watches = 7 'bag-units': $318.50 ÷ 7 = $45.50 = bag. Watch = 3 × $45.50 = $136.50. Jacket = watch + $13.60 = $136.50 + $13.60 = $150.10.", "hints": [ "Express the jacket and watch in terms of the bag: watch = 3 bags, jacket = watch + $13.60.", "Subtract the extra $13.60 from the total, then split the rest into equal bag-units (1 bag + 2 watches = 7 bag-units)." ], "source": "Catholic High 2024 P5 Weighted Assessment 3 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 332.10 − 13.60 = 318.50; 318.50 ÷ 7 = 45.50; 45.50 × 3 = 136.50; 136.50 + 13.60 = $150.10." } ] }