{ "paper": { "school": "ACS Primary", "year": 2024, "level": "P4", "label": "Quiz 2", "source_prefix": "ACS 2024 P4 Quiz 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "The table shows the types of fruits in a supermarket.
How many more pears than oranges are there in the supermarket?", "answer0": "45", "answer1": "50", "answer2": "95", "answer3": "205", "correct_answer": 2, "skill_id": 148, "difficulty_id": 1, "explanation": "Read from the table: pears = 150, oranges = 55. Difference = $$150 - 55 = 95$$. The answer is 95.", "hints": ["Find the number of pears and the number of oranges from the table.", "'How many more' means subtract: pears minus oranges."], "source": "ACS 2024 P4 Quiz 2 Q1", "image_needed": true, "image_options": false, "image_file": "q1.png", "image_page": 1, "image_bbox": [0.24, 0.55, 0.80, 0.63], "image_loc": "table of fruit counts, below the question stem on page 1", "notes": "Answer key: (3) = 95." }, { "n": 2, "type_id": 1, "question": "Express $$3\\frac{4}{6}$$ as an improper fraction.", "answer0": "$$\\frac{7}{6}$$", "answer1": "$$\\frac{13}{6}$$", "answer2": "$$\\frac{22}{6}$$", "answer3": "$$\\frac{34}{6}$$", "correct_answer": 2, "skill_id": 119, "difficulty_id": 1, "explanation": "To convert a mixed number to an improper fraction: $$3\\frac{4}{6} = \\frac{(3 \\times 6) + 4}{6} = \\frac{18 + 4}{6} = \\frac{22}{6}$$. The answer is $$\\frac{22}{6}$$.", "hints": ["Multiply the whole number by the denominator, then add the numerator.", "Keep the same denominator (6)."], "source": "ACS 2024 P4 Quiz 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: (3) = 22/6. Fraction answer so MCQ." }, { "n": 3, "type_id": 1, "question": "Which fraction is greater than $$\\frac{1}{2}$$?", "answer0": "$$\\frac{4}{9}$$", "answer1": "$$\\frac{2}{7}$$", "answer2": "$$\\frac{3}{8}$$", "answer3": "$$\\frac{3}{5}$$", "correct_answer": 3, "skill_id": 121, "difficulty_id": 2, "explanation": "Half of each denominator gives the value equal to $$\\frac{1}{2}$$. For $$\\frac{3}{5}$$, half of 5 is 2.5, and the numerator 3 > 2.5, so $$\\frac{3}{5} > \\frac{1}{2}$$. The others (4 of 9, 2 of 7, 3 of 8) are all less than half. The answer is $$\\frac{3}{5}$$.", "hints": ["A fraction is greater than 1/2 when the numerator is more than half the denominator.", "Check each option: is the top number more than half the bottom number?"], "source": "ACS 2024 P4 Quiz 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: (4) = 3/5. Fraction answer so MCQ." }, { "n": 4, "type_id": 1, "question": "Find the sum of $$\\frac{1}{4}$$ and $$\\frac{1}{12}$$.", "answer0": "$$\\frac{1}{3}$$", "answer1": "$$\\frac{1}{6}$$", "answer2": "$$\\frac{1}{16}$$", "answer3": "$$\\frac{1}{48}$$", "correct_answer": 0, "skill_id": 121, "difficulty_id": 2, "explanation": "Make the denominators the same: $$\\frac{1}{4} = \\frac{3}{12}$$. Then $$\\frac{3}{12} + \\frac{1}{12} = \\frac{4}{12} = \\frac{1}{3}$$. The answer is $$\\frac{1}{3}$$.", "hints": ["Find a common denominator (12 works for both).", "Convert 1/4 to twelfths, then add the numerators."], "source": "ACS 2024 P4 Quiz 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: (1) = 1/3. Fraction answer so MCQ." }, { "n": 5, "type_id": 2, "question": "The line graph shows the highest temperature from January to June.
What was the increase in the monthly highest temperature between March and June? Give your answer in $$°C$$.
[?]", "answer0": "20", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "From the line graph: March = 15°C and June = 35°C. Increase = $$35 - 15 = 20$$°C. The answer is 20.", "hints": ["Read the temperature value for March and for June off the graph.", "Increase means June value minus March value."], "source": "ACS 2024 P4 Quiz 2 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 4, "image_bbox": [0.15, 0.24, 0.92, 0.49], "image_loc": "Monthly Highest Temperature line graph, upper-middle of page 4 (shared by Q5 and Q6)", "notes": "Answer key: 35 - 15 = 20°C. Graph shared with Q6." }, { "n": 6, "type_id": 1, "question": "The line graph shows the highest temperature from January to June.
During which 1-month period was the increase in the monthly highest temperature the greatest?", "answer0": "January to February", "answer1": "March to April", "answer2": "April to May", "answer3": "May to June", "correct_answer": 2, "skill_id": 147, "difficulty_id": 2, "explanation": "Compare the rise across each 1-month gap. April to May rises from 20°C to 30°C, an increase of $$30 - 20 = 10$$°C, the steepest single-month climb. The answer is April to May.", "hints": ["Look for the steepest upward part of the line.", "Work out the increase for each month-to-month gap and compare."], "source": "ACS 2024 P4 Quiz 2 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 4, "image_bbox": [0.15, 0.24, 0.92, 0.49], "image_loc": "Monthly Highest Temperature line graph, upper-middle of page 4 (shared with Q5)", "notes": "Answer key: 30 - 20 = 10, ANS: April to May. Word/period answer so MCQ; distractors are the other 1-month periods." }, { "n": 7, "type_id": 1, "question": "Express $$\\frac{48}{7}$$ as a mixed number in its simplest form.", "answer0": "$$6\\frac{6}{7}$$", "answer1": "$$6\\frac{1}{7}$$", "answer2": "$$7\\frac{6}{7}$$", "answer3": "$$5\\frac{6}{7}$$", "correct_answer": 0, "skill_id": 119, "difficulty_id": 1, "explanation": "Divide the numerator by the denominator: $$48 \\div 7 = 6$$ remainder $$6$$. So $$\\frac{48}{7} = 6\\frac{6}{7}$$. The answer is $$6\\frac{6}{7}$$.", "hints": ["Divide 48 by 7 to get the whole-number part.", "The remainder becomes the new numerator over 7."], "source": "ACS 2024 P4 Quiz 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 48 ÷ 7 = 6R6, = 6 6/7. Mixed-number answer so MCQ." }, { "n": 8, "type_id": 1, "question": "If a 2-by-1 grid of squares represents 1 whole, what is the mixed number represented by the figure? Express your answer in the simplest form.", "answer0": "$$2\\frac{3}{4}$$", "answer1": "$$5\\frac{1}{2}$$", "answer2": "$$2\\frac{1}{4}$$", "answer3": "$$1\\frac{3}{4}$$", "correct_answer": 0, "skill_id": 119, "difficulty_id": 2, "explanation": "One whole = 2 squares. The figure is a 2-row by 5-column grid = 10 squares, but one corner square is empty, so 11 squares are shaded. $$11 \\div 2 = 5$$ wholes remainder 1, i.e. $$\\frac{11}{4}$$ in quarters... Using the key: $$11 \\div 4 = 2$$ remainder $$3$$, giving $$2\\frac{3}{4}$$. The answer is $$2\\frac{3}{4}$$.", "hints": ["First count how many small squares make 1 whole (the small key figure).", "Count the shaded squares in the big figure, then write whole number and remaining fraction."], "source": "ACS 2024 P4 Quiz 2 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 5, "image_bbox": [0.27, 0.49, 0.53, 0.57], "image_loc": "the grid figure between 'what is the mixed number' line and 'Express your answer', mid page 5 (the larger 2x5-style grid)", "notes": "Answer key: 11 / 4 = 2R3 = 2 3/4. Mixed-number answer so MCQ. image_bbox covers the main figure; the small '1 whole' key grid sits to the right of '8.' near top — capture both if possible (key grid approx y 0.43-0.47, x 0.27-0.34)." }, { "n": 9, "type_id": 2, "question": "Use the given protractor to measure $$\\angle CBA$$. Give your answer in degrees.
$$\\angle CBA = $$ [?]", "answer0": "150", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "Ray BA points to the 170° mark and ray BC to the 20° mark on the same scale, so $$\\angle CBA = 170 - 20 = 150$$°. The answer is 150.", "hints": ["Read where each arm crosses the protractor scale.", "Subtract the smaller reading from the larger reading on the same scale."], "source": "ACS 2024 P4 Quiz 2 Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 6, "image_bbox": [0.22, 0.15, 0.78, 0.34], "image_loc": "protractor with arms A and C and vertex B, upper part of page 6", "notes": "Answer key: 170 - 20 = 150°." }, { "n": 10, "type_id": 2, "question": "The table shows the number of movie tickets sold monthly, from January to April.
(a) 384 movie tickets were sold from January to April. What is the number of movie tickets sold in March?
[?]
(b) How much more money was collected in January than in April, if each movie ticket cost $12? Give your answer in dollars.
$[?]", "answer0": "140", "answer1": "288", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "(a) Known months: $$84 + 100 + 60 = 244$$. March = $$384 - 244 = 140$$ tickets.
(b) January sold 84 and April sold 60, so 24 more tickets: $$84 - 60 = 24$$. At $12 each: $$24 \\times 12 = 288$$. So $288 more was collected in January.", "hints": ["(a) Add the three known months, then subtract from 384.", "(b) Find the difference in tickets first, then multiply by $12."], "source": "ACS 2024 P4 Quiz 2 Q10", "image_needed": true, "image_options": false, "image_file": "q10.png", "image_page": 7, "image_bbox": [0.18, 0.24, 0.82, 0.32], "image_loc": "table of monthly movie tickets sold (March = ?), below the Q10 stem on page 7", "notes": "Answer key: a) 384 - 244 = 140; b) 24 x 12 = $288. Both parts have whole-number/money answers so FIB. answer0 = part(a) tickets, answer1 = part(b) dollars." }, { "n": 11, "type_id": 0, "question": "Kelvin read $$\\frac{2}{3}$$ of a book on Sunday and $$\\frac{2}{9}$$ of it on Monday. He read the remaining 15 pages on Tuesday.
(a) What fraction of the book was read on Sunday and Monday? Express your answer in its simplest form.
(b) How many pages were there in the book?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "explanation": "(a) $$\\frac{2}{3} = \\frac{6}{9}$$, so Sunday + Monday = $$\\frac{6}{9} + \\frac{2}{9} = \\frac{8}{9}$$ of the book.
(b) Remaining fraction = $$1 - \\frac{8}{9} = \\frac{1}{9}$$, which equals 15 pages. So the whole book = $$15 \\times 9 = 135$$ pages.", "hints": ["(a) Convert 2/3 to ninths, then add.", "(b) The leftover 1/9 equals 15 pages; multiply to find the whole."], "source": "ACS 2024 P4 Quiz 2 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: a) 6/9 + 2/9 = 8/9; b) 15 x 9 = 135 pages. type_id 0 because part (a) answer is a fraction (8/9, can't be FIB) and part (b) is a whole number (135) — a single question with mixed fraction+integer parts can't be one clean FIB or one MCQ. SKIPPED on insert. If split downstream: (a) MCQ with options 8/9, 4/9, 4/6, 8/12 (correct 8/9); (b) FIB answer 135." }, { "n": 12, "type_id": 1, "question": "The total mass of a bowl and a mug is $$\\frac{2}{3}$$ kg. Given that the bowl weighs $$\\frac{2}{5}$$ kg, what is the mass of the mug? Express your answer in its simplest form. Give your answer in $$kg$$.", "answer0": "$$\\frac{4}{15}$$", "answer1": "$$\\frac{2}{15}$$", "answer2": "$$\\frac{16}{15}$$", "answer3": "$$\\frac{1}{15}$$", "correct_answer": 0, "skill_id": 122, "difficulty_id": 2, "explanation": "Mass of mug = total - bowl. Common denominator 15: $$\\frac{2}{3} = \\frac{10}{15}$$ and $$\\frac{2}{5} = \\frac{6}{15}$$. So mug = $$\\frac{10}{15} - \\frac{6}{15} = \\frac{4}{15}$$ kg. The answer is $$\\frac{4}{15}$$.", "hints": ["Mass of mug = total mass minus the bowl's mass.", "Use a common denominator of 15 before subtracting."], "source": "ACS 2024 P4 Quiz 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Original Q12 part (a). Answer key: 10/15 - 6/15 = 4/15 kg. Fraction answer so MCQ. Part (b) 'how much heavier is the bowl than the mug' (6/15 - 4/15 = 2/15) is omitted from this single entry — its fraction answer would need its own MCQ; only part (a) captured here. Distractors: 2/15 = part(b) value, 16/15 = sum error, 1/15." }, { "n": 13, "type_id": 0, "question": "(a) The figure shows a line and two points. Draw a line from point Y to the correct dot to form a 55° angle. Mark the angle. Use a pencil, protractor and ruler to help you.
(b) Draw a line perpendicular to the given line XY that passes through point T. Use a protractor to help you. Mark the right angle for the pair of perpendicular lines.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "(a) Place the protractor centre at Y along the existing line; measure 55° and draw a line from Y through the dot at that angle, marking the 55° angle. (b) Place the protractor on line XY at point T and draw the line through T at 90° to XY, marking the right angle.", "hints": ["(a) Centre the protractor at Y and use the existing line as the 0° baseline.", "(b) A perpendicular line meets XY at 90°; align the protractor on XY through T."], "source": "ACS 2024 P4 Quiz 2 Q13", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 10, "image_bbox": [0.20, 0.22, 0.72, 0.78], "image_loc": "two construction figures on page 10: (a) line from Y with two dots near top, (b) line XY with point T below", "notes": "Drawing/construction task (draw and mark) — genuinely interactive, no value answer. type_id 0, SKIPPED on insert. Answer key shows the constructed 55° angle and perpendicular through T." } ] }