{ "paper": { "school": "Ai Tong", "year": 2024, "level": "P4", "label": "Term 3 Review", "source_prefix": "Ai Tong 2024 P4 Term 3 Review", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "Find the missing numbers.
$$85.007 = 80 + [?] + \\dfrac{7}{[?]}$$", "answer0": "5", "answer1": "1000", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 123, "difficulty_id": 2, "explanation": "Expand 85.007 by place value: 80 (tens) + 5 (ones) + 0 (tenths) + 0 (hundredths) + 7 thousandths. The 7 occupies the thousandths place, so it is \\(\\dfrac{7}{1000}\\). Therefore the first blank = 5 and the denominator = 1000.", "hints": ["Write out each digit of 85.007 with its place value.", "The last digit 7 is in the thousandths place, so it equals 7 over 1000."], "source": "Ai Tong 2024 P4 Term 3 Review Q1", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Original shows a number-bond layout: 80 + [box a] + (7 over box b). Rendered as a place-value equation with two answer blanks: ones digit = 5, denominator = 1000." }, { "n": 2, "type_id": 2, "question": "(a) Round 659.84 to the nearest tenth. [?]
(b) Round 659.84 to the nearest whole number. [?]", "answer0": "659.8", "answer1": "660", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 128, "difficulty_id": 1, "explanation": "(a) To round to the nearest tenth, look at the hundredths digit (4). Since 4 < 5, round down: 659.84 ≈ 659.8. (b) To round to the nearest whole number, look at the tenths digit (8). Since 8 ≥ 5, round up: 659.84 ≈ 660.", "hints": ["Nearest tenth means 1 decimal place; check the next digit (hundredths).", "Nearest whole number; check the tenths digit to decide round up or down."], "source": "Ai Tong 2024 P4 Term 3 Review Q2", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Two-part rounding; both answers are decimals/whole numbers so FIB is fine." }, { "n": 3, "type_id": 2, "question": "In 853.792, what is the value of the digit in the hundredths place? [?]", "answer0": "0.09", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 123, "difficulty_id": 1, "explanation": "In 853.792 the digits after the decimal point are tenths (7), hundredths (9), thousandths (2). The digit in the hundredths place is 9, so its value is \\(\\dfrac{9}{100}\\) = 0.09.", "hints": ["First decimal place = tenths, second = hundredths.", "The hundredths digit is 9; its value is 9 hundredths = 0.09."], "source": "Ai Tong 2024 P4 Term 3 Review Q3", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Value (not just digit) requested; answer 0.09 is a decimal so FIB is valid." }, { "n": 4, "type_id": 2, "question": "Express \\(5\\dfrac{11}{25}\\) as a decimal. [?]", "answer0": "5.44", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 127, "difficulty_id": 2, "explanation": "Convert the fraction to an equivalent fraction with denominator 100: \\(\\dfrac{11}{25} = \\dfrac{11 \\times 4}{25 \\times 4} = \\dfrac{44}{100} = 0.44\\). So \\(5\\dfrac{11}{25} = 5 + 0.44 = 5.44\\).", "hints": ["Multiply numerator and denominator of 11/25 by 4 to get a denominator of 100.", "44/100 = 0.44, then add the whole number 5."], "source": "Ai Tong 2024 P4 Term 3 Review Q4", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answer 5.44 is a decimal so FIB is correct." }, { "n": 5, "type_id": 2, "question": "Arrange the decimals from the greatest to the smallest.
4.3 , 0.34 , 3.04 , 4.003
[?] , [?] , [?] , [?]", "answer0": "4.3", "answer1": "4.003", "answer2": "3.04", "answer3": "0.34", "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "Compare by whole-number part first, then decimal places. 4.3 and 4.003 both start with 4; 4.3 (= 4.300) > 4.003. Next 3.04, then 0.34. Greatest to smallest: 4.3, 4.003, 3.04, 0.34.", "hints": ["Line up the decimal points and compare whole-number parts first.", "For the two 4-point numbers, compare the tenths: 4.3 = 4.300 is bigger than 4.003."], "source": "Ai Tong 2024 P4 Term 3 Review Q5", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Ordering task converted to a 4-blank FIB in greatest-to-smallest order, matching the printed key." }, { "n": 6, "type_id": 2, "question": "A and B are two numbers on the number line.
(a) Express the number A as a decimal. [?]
(b) What is 0.01 less than the number B? [?]", "answer0": "2.76", "answer1": "2.89", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "The number line runs from 2.7 to 2.9 with each small interval = 0.01. (a) A sits 6 intervals after 2.7, so A = 2.7 + 0.06 = 2.76. (b) B is at 2.90; 0.01 less than 2.90 is 2.89.", "hints": ["Each small marking on the number line is 0.01.", "Count the markings from the nearest labelled value to find A; for B, subtract 0.01 from its position."], "source": "Ai Tong 2024 P4 Term 3 Review Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 3, "image_bbox": [0.18, 0.10, 0.80, 0.19], "image_loc": "number line near top of page, labelled 2.7, 2.8, 2.9 with arrows marking A and B", "notes": "B reads 2.90 from the line; 0.01 less = 2.89 per key." }, { "n": 7, "type_id": 2, "question": "ABCD is a square. Find \\(\\angle t\\). [?]", "answer0": "60", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 197, "difficulty_id": 2, "explanation": "ABCD is a square, so angle BCD = 90°. The line from D to C makes a 30° angle at C with side DC. The remaining angle t = 90° − 30° = 60°.", "hints": ["Each corner of a square is a right angle (90°).", "Angle t and the 30° angle together make up the 90° corner at C."], "source": "Ai Tong 2024 P4 Term 3 Review Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 3, "image_bbox": [0.33, 0.45, 0.70, 0.72], "image_loc": "square ABCD diagram in middle of page with a diagonal-like line from upper area to C, marked 30° and angle t at corner C", "notes": "Answer is 60 (degrees); unit ° is in the question prompt. Whole number so FIB is fine." }, { "n": 8, "type_id": 0, "question": "Figure WXYZ is a rectangle.
(a) What is the length of ZY? [?]
(b) Identify 1 pair of parallel lines in WXYZ.", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 143, "difficulty_id": 1, "explanation": "(a) WXYZ is a rectangle, so opposite sides are equal. ZY is opposite WX (8 cm), therefore ZY = 8 cm. (b) Opposite sides of a rectangle are parallel; one pair is WZ // XY (the other pair is WX // ZY).", "hints": ["Opposite sides of a rectangle are equal in length.", "Opposite sides of a rectangle are parallel to each other."], "source": "Ai Tong 2024 P4 Term 3 Review Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 4, "image_bbox": [0.30, 0.08, 0.80, 0.25], "image_loc": "rectangle WXYZ near top of page, top side labelled 8 cm, left side labelled 3 cm, vertices W (top-left), X (top-right), Z (bottom-left), Y (bottom-right)", "notes": "type_id 0: part (a) is a value (8 cm) but part (b) answer 'WZ // XY' is a parallel-lines identification with letter labels (not numeric/symbolic), which is not a clean FIB nor MCQ here. Marked type_id 0 (skipped on insert). Key: a) 8cm, b) WZ // XY." }, { "n": 9, "type_id": 0, "question": "Two sides of a square are drawn in the square grid. Complete the square.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 143, "difficulty_id": 2, "explanation": "Two sides of the square already form a right angle (an inverted V apex at the top of the grid). Draw the other two sides of equal length downward from each endpoint to complete a tilted square, as shown in the answer-key diagram (a diamond/tilted square).", "hints": ["A square has 4 equal sides and 4 right angles.", "Continue from each drawn endpoint with sides of the same length to close the figure into a tilted square."], "source": "Ai Tong 2024 P4 Term 3 Review Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 4, "image_bbox": [0.31, 0.56, 0.69, 0.86], "image_loc": "square grid in lower half of page with two drawn line segments forming an apex (inverted V) near the top of the grid", "notes": "Genuinely interactive draw-to-complete task; type_id 0 (skipped on insert). Answer key shows the completed tilted square (diamond)." }, { "n": 10, "type_id": 2, "question": "A jar has 4.36 ℓ of water. A container has 3.89 ℓ more water than the jar. What is the total volume of water in the jar and the container? [?]", "answer0": "12.61", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 2, "explanation": "Container = jar + 3.89 = 4.36 + 3.89 = 8.25 ℓ. Total = jar + container = 4.36 + 8.25 = 12.61 ℓ.", "hints": ["First find the container's volume by adding 3.89 to the jar's 4.36 ℓ.", "Then add the jar's volume and the container's volume for the total."], "source": "Ai Tong 2024 P4 Term 3 Review Q10", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answer 12.61 (litres). Unit is litres per the question. FIB numeric is fine." }, { "n": 11, "type_id": 2, "question": "A piece of string is 7.2 m long. Sally cuts it into 2 pieces. The longer piece of string is 2 times as long as the shorter piece of string. What is the length of the longer piece of string? [?]", "answer0": "4.8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "The shorter piece is 1 unit and the longer is 2 units, so 3 units = 7.2 m. 1 unit = 7.2 ÷ 3 = 2.4 m. The longer piece = 2 units = 2 × 2.4 = 4.8 m.", "hints": ["Total = shorter (1 unit) + longer (2 units) = 3 units = 7.2 m.", "Find 1 unit, then double it for the longer piece."], "source": "Ai Tong 2024 P4 Term 3 Review Q11", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answer 4.8 (metres). FIB numeric." }, { "n": 12, "type_id": 2, "question": "Ally bought 10 kg of rice. She packed some rice equally into 6 bags. The mass of each bag of rice is 1.25 kg.
(a) What was the total mass of the 6 bags of rice? Give your answer in kilograms. [?]
(b) What was the mass of rice that was left unpacked? Give your answer in kilograms. [?]", "answer0": "7.5", "answer1": "2.5", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 2, "explanation": "(a) Total mass of 6 bags = 1.25 × 6 = 7.50 kg. (b) Rice left unpacked = 10 − 7.50 = 2.50 kg.", "hints": ["Multiply the mass of one bag (1.25 kg) by the number of bags (6).", "Subtract the packed total from the 10 kg Ally bought."], "source": "Ai Tong 2024 P4 Term 3 Review Q12", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answers 7.5 kg and 2.5 kg (key writes 7.50 and 2.50). FIB numeric; entered without trailing zeros." }, { "n": 13, "type_id": 2, "question": "Harry had some marbles. He gave \\(\\dfrac{1}{3}\\) of his marbles to his sister and \\(\\dfrac{2}{9}\\) of his marbles to his friends. Then, Harry had 80 marbles left. How many marbles did Harry have at first? [?]", "answer0": "180", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "Fraction given away = \\(\\dfrac{1}{3} + \\dfrac{2}{9} = \\dfrac{3}{9} + \\dfrac{2}{9} = \\dfrac{5}{9}\\). Fraction left = \\(1 - \\dfrac{5}{9} = \\dfrac{4}{9}\\), which equals 80 marbles. So \\(\\dfrac{1}{9}\\) = 80 ÷ 4 = 20 marbles, and the whole \\(\\dfrac{9}{9}\\) = 20 × 9 = 180 marbles.", "hints": ["Express both fractions over a common denominator of 9 and add them.", "The remaining fraction (4/9) is 80 marbles; find 1/9 then multiply by 9."], "source": "Ai Tong 2024 P4 Term 3 Review Q13", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answer 180 (whole number). Key: 4u=80, 1u=20, 9u=180." }, { "n": 14, "type_id": 2, "question": "At a bakery, the price of a bun is $0.80. For every 2 buns bought, the bakery gave another 1 bun for free.
(a) How much would 3 buns cost? [?]
(b) Gareth needs 27 buns. What is the least amount of money he needs to pay? [?]", "answer0": "1.60", "answer1": "14.40", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) Buy 2 get 1 free, so 3 buns cost the price of 2 buns = 0.80 × 2 = $1.60. (b) For 27 buns, group in 3s (buy 2, get 1 free): 27 ÷ 3 = 9 groups, so 9 buns are free and Gareth pays for 27 − 9 = 18 buns. Cost = 0.80 × 18 = $14.40.", "hints": ["With buy-2-get-1-free, every 3 buns only cost the price of 2.", "Split 27 buns into groups of 3; the free buns are 1 per group, pay for the rest."], "source": "Ai Tong 2024 P4 Term 3 Review Q14", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Promo image (SPECIAL OFFER / BUY 2 GET 1 FREE / $0.80 each) is decorative; key facts are in the text, so no figure crop needed. Answers $1.60 and $14.40 (money decimals)." } ] }