{ "paper": { "school": "ACS Primary", "year": 2025, "level": "P4", "label": "Weighted Assessment 2", "source_prefix": "ACS 2025 P4 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "The table shows the favourite colours of some children.
Colour: Red, Green, Blue, Black, Yellow
Number of children: 12, 9, 13, 3, 6
Which colour is liked by twice as many children as those who like the colour yellow?", "answer0": "Red", "answer1": "Green", "answer2": "Blue", "answer3": "Black", "correct_answer": 0, "skill_id": 147, "difficulty_id": 1, "explanation": "Yellow is liked by 6 children. Twice 6 is $$2 \\times 6 = 12$$. Red is liked by 12 children, so the answer is Red.", "hints": ["Find how many children like yellow.", "Double that number, then match it to a colour in the table."], "source": "ACS 2025 P4 Weighted Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Table given in stem as text; no figure crop needed." }, { "n": 2, "type_id": 1, "question": "Express $$3\\frac{1}{8}$$ as an improper fraction.", "answer0": "$$\\frac{11}{8}$$", "answer1": "$$\\frac{13}{8}$$", "answer2": "$$\\frac{25}{8}$$", "answer3": "$$\\frac{31}{8}$$", "correct_answer": 2, "skill_id": 119, "difficulty_id": 1, "explanation": "Multiply the whole number by the denominator and add the numerator: $$3 \\times 8 + 1 = 25$$. So $$3\\frac{1}{8} = \\frac{25}{8}$$.", "hints": ["Improper fraction = (whole number x denominator) + numerator, all over the denominator.", "$$3 \\times 8 + 1 = 25$$."], "source": "ACS 2025 P4 Weighted Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 3, "type_id": 1, "question": "Which of the following is not an equivalent fraction of $$\\frac{3}{4}$$?", "answer0": "$$\\frac{6}{8}$$", "answer1": "$$\\frac{9}{12}$$", "answer2": "$$\\frac{13}{14}$$", "answer3": "$$\\frac{15}{20}$$", "correct_answer": 2, "skill_id": 77, "difficulty_id": 2, "explanation": "$$\\frac{6}{8}, \\frac{9}{12}, \\frac{15}{20}$$ all simplify to $$\\frac{3}{4}$$. $$\\frac{13}{14}$$ does not, so it is not equivalent.", "hints": ["Simplify each fraction to its lowest terms.", "Three of them equal $$\\frac{3}{4}$$; the odd one out is the answer."], "source": "ACS 2025 P4 Weighted Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 4, "type_id": 1, "question": "Find the difference between $$\\frac{1}{3}$$ and $$\\frac{5}{8}$$.", "answer0": "$$\\frac{1}{24}$$", "answer1": "$$\\frac{1}{6}$$", "answer2": "$$\\frac{1}{4}$$", "answer3": "$$\\frac{7}{24}$$", "correct_answer": 3, "skill_id": 121, "difficulty_id": 2, "explanation": "Use a common denominator of 24: $$\\frac{5}{8} = \\frac{15}{24}$$ and $$\\frac{1}{3} = \\frac{8}{24}$$. The difference is $$\\frac{15}{24} - \\frac{8}{24} = \\frac{7}{24}$$.", "hints": ["Convert both fractions to twenty-fourths.", "$$\\frac{15}{24} - \\frac{8}{24} = \\frac{7}{24}$$."], "source": "ACS 2025 P4 Weighted Assessment 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 5, "type_id": 2, "question": "The table shows the number of pupils in two CCAs.
Concert Band: 15 girls, 17 boys, total ?
Robotics Club: 17 girls, ? boys, total 97
How many more boys than girls are there in Robotics Club? [?]", "answer0": "63", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "Number of boys in Robotics Club $$= 97 - 17 = 80$$. More boys than girls $$= 80 - 17 = 63$$.", "hints": ["Find the number of boys: total minus girls.", "Then subtract the number of girls from the number of boys."], "source": "ACS 2025 P4 Weighted Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Table data given in stem as text." }, { "n": 6, "type_id": 2, "question": "The table shows the number of pupils in two CCAs.
Concert Band: 15 girls, 17 boys, total ?
Robotics Club: 17 girls, ? boys, total 97
How many fewer pupils joined Concert Band than Robotics Club? [?]", "answer0": "65", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "Concert Band total $$= 17 + 15 = 32$$ pupils. Robotics Club has 97 pupils. Fewer $$= 97 - 32 = 65$$.", "hints": ["Find the total number of pupils in Concert Band.", "Subtract that from the Robotics Club total of 97."], "source": "ACS 2025 P4 Weighted Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Same table as Q5; data given in stem as text." }, { "n": 7, "type_id": 2, "question": "What is the value of $$\\frac{3}{5} + \\frac{5}{8}$$? Express your answer as a mixed number. [?]", "answer0": "1 9/40", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "Use a common denominator of 40: $$\\frac{3}{5} = \\frac{24}{40}$$ and $$\\frac{5}{8} = \\frac{25}{40}$$. Sum $$= \\frac{49}{40} = 1\\frac{9}{40}$$.", "hints": ["Convert both fractions to fortieths.", "$$\\frac{24}{40} + \\frac{25}{40} = \\frac{49}{40}$$, then convert to a mixed number."], "source": "ACS 2025 P4 Weighted Assessment 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer is a mixed number; FIB answer plain as 1 9/40." }, { "n": 8, "type_id": 2, "question": "Use the protractor to measure $$\\angle DCA$$.
$$\\angle DCA$$ = [?]°", "answer0": "135", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "Ray CD lies along the 0 degree mark and ray CA points to the 45 degree mark on the inner scale, so measuring from D the angle $$\\angle DCA = 180 - 45 = 135$$ degrees.", "hints": ["Read where ray CA crosses the protractor scale, starting from ray CD at 0 degrees.", "The angle is 135 degrees."], "source": "ACS 2025 P4 Weighted Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 4, "image_bbox": [0.28, 0.45, 0.72, 0.68], "image_loc": "middle of page 4: semicircular protractor with rays to D, C, B and A", "notes": "Answer key gives 135 degrees. Unit (degrees) appended in stem after the blank." }, { "n": 9, "type_id": 0, "question": "Join point A to one of the dots such that $$\\angle CAB = 115$$°. Use a protractor and a ruler to help you.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "Place the protractor at A along line AB and measure 115 degrees. The ray at 115 degrees from AB passes through the dot labelled C in the answer key, so join A to that dot.", "hints": ["Set the protractor centre at A with the baseline along AB.", "Draw the ray at 115 degrees and join A to the dot it passes through."], "source": "ACS 2025 P4 Weighted Assessment 2 Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 5, "image_bbox": [0.30, 0.28, 0.75, 0.48], "image_loc": "middle of page 5: line segment A-B with four dots above it", "notes": "Interactive draw task (join A to a dot) - no value answer, type_id 0, will be skipped on insert. Answer key: dot C." }, { "n": 10, "type_id": 2, "question": "The table shows the number of P4 pupils who took part in different activities at 'Sports Day'.
Relay Race: 48, Soccer: 36, Tug-of-war: 52, Volleyball: 64
(a) How many pupils took part in the activities? [?]
(b) Some pupils took part in an activity at 'Sports Day' that had $$\\frac{3}{4}$$ as many pupils who took part in Volleyball. Which activity was it? [?]", "answer0": "200", "answer1": "Relay Race", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "(a) Total $$= 48 + 36 + 52 + 64 = 200$$ pupils. (b) $$\\frac{3}{4}$$ of Volleyball $$= 64 \\div 4 = 16$$, then $$16 \\times 3 = 48$$. The activity with 48 pupils is Relay Race.", "hints": ["(a) Add the four activity totals.", "(b) Find three-quarters of 64, then match it to an activity."], "source": "ACS 2025 P4 Weighted Assessment 2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two parts (a) value 200, (b) Relay Race (word answer). Table data given in stem as text." }, { "n": 11, "type_id": 2, "question": "$$\\frac{3}{8}$$ of counters in a container are red and the rest are blue.
(a) What fraction of the counters are blue? [?]
(b) There are 34 more blue counters than red counters. How many counters are there in the container? [?]", "answer0": "5/8", "answer1": "136", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "explanation": "(a) Blue $$= 1 - \\frac{3}{8} = \\frac{5}{8}$$. (b) Blue minus red $$= \\frac{5}{8} - \\frac{3}{8} = \\frac{2}{8}$$, so 2 units $$= 34$$, 1 unit $$= 17$$. Total is 8 units $$= 17 \\times 8 = 136$$ counters.", "hints": ["(a) Subtract the red fraction from 1 whole.", "(b) The difference of 34 equals 2 units; find 1 unit, then 8 units for the total."], "source": "ACS 2025 P4 Weighted Assessment 2 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two parts: (a) fraction 5/8 plain, (b) value 136." }, { "n": 12, "type_id": 2, "question": "Rena and Sebastian shared 72 stickers. Rena had $$\\frac{4}{9}$$ of the stickers.
(a) How many stickers did Rena have? [?]
(b) How many stickers would Sebastian give to Rena so that both had an equal number of stickers? [?]", "answer0": "32", "answer1": "4", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 2, "explanation": "(a) 9 units $$= 72$$, so 1 unit $$= 8$$; Rena $$= 4 \\times 8 = 32$$ stickers. (b) Sebastian has $$72 - 32 = 40$$. Equal share $$= 72 \\div 2 = 36$$, so Sebastian gives $$40 - 36 = 4$$ (i.e. $$8 \\div 2 = 4$$).", "hints": ["(a) Divide 72 into 9 units, then take 4 units for Rena.", "(b) Find each one's equal share, then how many Sebastian must give away."], "source": "ACS 2025 P4 Weighted Assessment 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two parts: (a) 32, (b) 4." }, { "n": 13, "type_id": 2, "question": "The line graph shows the number of days with rainfall in Singapore from July to December.
(a) How many days of rainfall were there from July to November? [?]
(b) There were 107 days of rainfall from July to December. How many days of rainfall were there in December? [?]", "answer0": "80", "answer1": "27", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "(a) From the graph Jul=16, Aug=19, Sep=9, Oct=12, Nov=24. Total $$= 16 + 19 + 9 + 12 + 24 = 80$$ days. (b) December $$= 107 - 80 = 27$$ days.", "hints": ["(a) Read each month's value off the line graph and add Jul to Nov.", "(b) Subtract the July-to-November total from 107."], "source": "ACS 2025 P4 Weighted Assessment 2 Q13", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 9, "image_bbox": [0.18, 0.16, 0.86, 0.42], "image_loc": "upper-middle of page 9: line graph 'Days with rainfall in Singapore', y-axis 0-30, x-axis Jul-Dec", "notes": "Graph values needed for part (a): Jul 16, Aug 19, Sep 9, Oct 12, Nov 24 = 80. Answer key confirms 80 and 27." } ] }