{
"paper": {
"school": "Ai Tong",
"year": 2024,
"level": "P5",
"label": "Term 3 Review",
"source_prefix": "Ai Tong 2024 P5 Term 3 Review",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 2,
"question": "40 tennis balls have a mass of 2319.6 g. What is the mass, in g, of each tennis ball? Give your answer correct to 1 decimal place. [?]",
"answer0": "58.0",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "Mass of each ball = 2319.6 \\div 40 = 57.99 g. Rounded to 1 decimal place this is 58.0 g.",
"hints": ["Divide the total mass by the number of balls.", "57.99 rounded to 1 decimal place is 58.0."],
"source": "Ai Tong 2024 P5 Term 3 Review Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 2319.6 \\div 40 = 57.99 \\approx 58.0 g (1 dp). Decimal answer, FIB is fine."
},
{
"n": 2,
"type_id": 2,
"question": "A container contains 2 \\(\\ell\\) 60 m\\(\\ell\\) of water. Find the volume, in litres, of water in 18 such containers. [?]",
"answer0": "37.08",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 192,
"difficulty_id": 2,
"explanation": "2 L 60 ml = 2060 ml. 2060 \\times 18 = 37 080 ml = 37 080 \\div 1000 = 37.08 L.",
"hints": ["Convert 2 L 60 ml to millilitres first (2060 ml).", "Multiply by 18, then divide by 1000 to convert to litres."],
"source": "Ai Tong 2024 P5 Term 3 Review Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 37.08 L. Decimal answer, FIB is fine."
},
{
"n": 3,
"type_id": 2,
"question": "Mr Tan wanted to buy 14 cartons of drinks but he was short of $11.40. Each carton costs $15.20. How much money, in dollars, did Mr Tan have? $[?]",
"answer0": "201.40",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "Total cost = 14 \\times $15.20 = $212.80. He was short $11.40, so he had 212.80 - 11.40 = $201.40.",
"hints": ["Find the total cost of 14 cartons first.", "He had the total cost minus the amount he was short."],
"source": "Ai Tong 2024 P5 Term 3 Review Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 212.8 - 11.4 = 201.40. Money decimal answer, FIB is fine."
},
{
"n": 4,
"type_id": 2,
"question": "A tap takes 22 seconds to completely fill up a bottle with a capacity of 550 m\\(\\ell\\). What is the rate of flow of water, in m\\(\\ell\\)/s? [?]",
"answer0": "25",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "Rate of flow = volume \\div time = 550 \\div 22 = 25 ml/s.",
"hints": ["Rate = total volume divided by total time.", "550 \\div 22 = 25."],
"source": "Ai Tong 2024 P5 Term 3 Review Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 550 ml in 22 s, so 25 ml/s. Integer answer, FIB is fine."
},
{
"n": 5,
"type_id": 2,
"question": "The price of a television before GST is $1299. What is the price, in dollars, of the television including 9% GST? $[?]",
"answer0": "1415.91",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 2,
"explanation": "9% of $1299 = \\(\\dfrac{9}{100} \\times 1299 = $116.91\\). Price including GST = 1299 + 116.91 = $1415.91.",
"hints": ["Find 9% of $1299.", "Add the GST to the original price."],
"source": "Ai Tong 2024 P5 Term 3 Review Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 1299 + 116.91 = $1415.91. Money decimal answer, FIB is fine. The TV photo and the '$1299 (Price before GST)' label are decorative; the price is given in the stem so no figure is required."
},
{
"n": 6,
"type_id": 2,
"question": "There are 22 girls and 58 boys in a CCA. 30% of the members are Primary 6 students. How many Primary 6 students are there in the CCA? [?]",
"answer0": "24",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 174,
"difficulty_id": 2,
"explanation": "Total members = 22 + 58 = 80. 30% of 80 = \\(\\dfrac{30}{100} \\times 80 = 24\\) Primary 6 students.",
"hints": ["Find the total number of members first.", "Work out 30% of that total."],
"source": "Ai Tong 2024 P5 Term 3 Review Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 30% of 80 = 24. Integer answer, FIB is fine."
},
{
"n": 7,
"type_id": 2,
"question": "A water bottle and a pencil case cost $27.70. A water bottle and a school bag cost $106.10. The school bag costs 8 times as much as a pencil case. What is the cost, in dollars, of a school bag? $[?]",
"answer0": "89.60",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "Bag - pencil case = 106.10 - 27.70 = $78.40 (the bottle cancels). Bag = 8 units, pencil case = 1 unit, so 8 - 1 = 7 units = $78.40 → 1 unit = $11.20. Bag = 8 \\times 11.20 = $89.60.",
"hints": ["Subtract the two totals to remove the bottle: 106.10 - 27.70 = 78.40.", "That difference is 7 units (8 - 1); find 1 unit, then the 8-unit bag."],
"source": "Ai Tong 2024 P5 Term 3 Review Q7",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 7 units = 78.4, 1 unit = 11.2, bag = 8 units = $89.60. Money decimal answer, FIB is fine."
},
{
"n": 8,
"type_id": 2,
"question": "A photocopying machine can print 100 pages in 24 seconds. At this rate, how long will it take for the machine to print 1600 pages? Give your answer in minutes and seconds.
[?] min [?] s",
"answer0": "6",
"answer1": "24",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "Time for 1600 pages = \\(\\dfrac{1600}{100} \\times 24 = 16 \\times 24 = 384\\) s. 384 \\div 60 = 6 remainder 24, so 6 min 24 s.",
"hints": ["1600 pages is 16 lots of 100 pages; multiply 16 by 24 s.", "Convert 384 s to minutes and seconds (divide by 60)."],
"source": "Ai Tong 2024 P5 Term 3 Review Q8",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 384 s = 6 min 24 s. Split into two integer blanks (minutes, seconds) so both are exact-match FIB."
},
{
"n": 9,
"type_id": 2,
"question": "A bakery sold a total of 2600 buns in a day. 45% of the buns were sold in the morning and 40% of the remaining buns were sold in the afternoon. The rest were sold in the evening. How many buns were sold in the evening? [?]",
"answer0": "858",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 175,
"difficulty_id": 3,
"explanation": "Morning = 45% of 2600 = 1170. Remaining = 2600 - 1170 = 1430. Afternoon = 40% of 1430 = 572. Evening = 2600 - 1170 - 572 = 858.",
"hints": ["Find the morning sales, then how many remain.", "Take 40% of the remainder for the afternoon, then subtract to get the evening."],
"source": "Ai Tong 2024 P5 Term 3 Review Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 858 buns. Integer answer, FIB is fine."
},
{
"n": 10,
"type_id": 2,
"question": "18 000 adults and 7000 children attended the National Day Parade. 45% of the adults were women and 30% of the children were girls. What percentage of the spectators were women and girls? [?]%",
"answer0": "40.8",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 171,
"difficulty_id": 3,
"explanation": "Women = 45% of 18 000 = 8100. Girls = 30% of 7000 = 2100. Total women and girls = 8100 + 2100 = 10 200. Total spectators = 18 000 + 7000 = 25 000. Percentage = \\(\\dfrac{10\\,200}{25\\,000} = 0.408 = 40.8\\%\\).",
"hints": ["Find the number of women and the number of girls separately.", "Divide the total (women + girls) by all 25 000 spectators and convert to a percentage."],
"source": "Ai Tong 2024 P5 Term 3 Review Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 40.8%. Decimal percentage value, FIB is fine (the % is in the stem)."
},
{
"n": 11,
"type_id": 2,
"question": "Allie saved $1.40 each day from Monday to Friday. She saved $2.10 each day for Saturday and Sunday. She started saving on a Monday. How many days did it take for Allie to save $49? [?]",
"answer0": "31",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "In one week she saves (1.40 \\times 5) + (2.10 \\times 2) = 7.00 + 4.20 = $11.20. After 4 weeks (28 days) she has 4 \\times 11.20 = $44.80. She needs $4.20 more: Mon + Tue + Wed = 1.40 \\times 3 = $4.20, which is 3 more days. Total = 28 + 3 = 31 days.",
"hints": ["Work out how much she saves in a full week ($11.20).", "After 4 weeks she has $44.80; count the extra weekday savings needed to reach $49."],
"source": "Ai Tong 2024 P5 Term 3 Review Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 4 weeks and 3 days = 31 days. Integer answer, FIB is fine."
},
{
"n": 12,
"type_id": 2,
"question": "The table shows the charges for taxi fare: 1st 2 km or less costs $4.80; every additional 400 m or part thereof costs $0.35.
(a) Mr Anderson's trip was 6 km. How much, in dollars, did he pay for his ride? $[?]
(b) Mrs Smith paid $15.65 for her trip. What was the greatest distance, in km, she could have travelled? [?]",
"answer0": "8.30",
"answer1": "14.4",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 175,
"difficulty_id": 3,
"explanation": "(a) First 2 km = $4.80. Remaining 4 km = 4000 m → 4000 \\div 400 = 10 units \\times $0.35 = $3.50. Total = 4.80 + 3.50 = $8.30. (b) After the first 2 km ($4.80), 15.65 - 4.80 = $10.85 was for additional distance: 10.85 \\div 0.35 = 31 units of 400 m = 31 \\times 400 = 12 400 m = 12.4 km. Greatest distance = 2 + 12.4 = 14.4 km.",
"hints": ["(a) Charge the first 2 km, then count 400 m units for the rest.", "(b) Subtract the $4.80 base, divide by $0.35 to get the number of 400 m units, then add to the first 2 km."],
"source": "Ai Tong 2024 P5 Term 3 Review Q12",
"image_needed": true,
"image_options": false,
"image_file": "fig-q12.png",
"image_page": 7,
"image_bbox": [0.18, 0.1, 0.68, 0.23],
"image_loc": "taxi-fare table: Distance travelled vs Cost, rows '1st 2km or less $4.80' and 'every additional 400m or part thereof $0.35'",
"notes": "Key: 12a) $8.30, 12b) 14.4 km. (a) money decimal, (b) decimal km — both FIB-fine. Table needed as the figure so the fare bands are visible."
}
]
}