{ "paper": { "school": "Anglo-Chinese School (Primary)", "year": 2023, "level": "P3", "label": "End of Year Exam", "source_prefix": "ACS Primary 2023 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "Which digit in 9304 is in the hundreds place?", "answer0": "0", "answer1": "9", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "In 9304 the digit 3 is in the hundreds place (9 thousands, 3 hundreds, 0 tens, 4 ones).", "hints": ["Read the number from the right: ones, tens, hundreds, thousands.", "The third digit from the right is the hundreds digit."], "source": "ACS Primary 2023 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (value 3)." }, { "n": 2, "type_id": 1, "question": "What is the value of 21 tens, 5 hundreds and 3 ones?", "answer0": "263", "answer1": "524", "answer2": "713", "answer3": "740", "correct_answer": 2, "skill_id": 66, "difficulty_id": 2, "explanation": "21 tens = 210, 5 hundreds = 500, 3 ones = 3. 210 + 500 + 3 = 713.", "hints": ["Convert each part to its value: 21 tens = 210, 5 hundreds = 500.", "Add the three values together."], "source": "ACS Primary 2023 P3 End of Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (713)." }, { "n": 3, "type_id": 1, "question": "Jenna prepared some lemonade for a party. What is the total volume of lemonade she prepared in litres and millilitres?", "answer0": "1 ℓ 500 mℓ", "answer1": "1 ℓ 150 mℓ", "answer2": "1 ℓ 50 mℓ", "answer3": "1 ℓ", "correct_answer": 2, "skill_id": 84, "difficulty_id": 2, "explanation": "Reading the four measuring beakers and totalling the marked volumes gives 1 litre 50 millilitres.", "hints": ["Read the level shaded in each beaker.", "Add all four volumes; 1000 mℓ = 1 ℓ."], "source": "ACS Primary 2023 P3 End of Year Exam Q3", "image_needed": true, "image_page": 4, "image_loc": "below the question, four measuring beakers (cylinders) marked 100-500 mℓ with shaded levels, side by side", "image_options": false, "image_file": "q3.png", "notes": "Key: option 3 (1 ℓ 50 mℓ). Figure needed to read the shaded volumes." }, { "n": 4, "type_id": 1, "question": "Arrange the following numbers from the smallest to the largest. 4501, 5401, 4051, 5041", "answer0": "4501 , 4051 , 5041 , 5401", "answer1": "4051 , 4501 , 5401 , 5041", "answer2": "4051 , 4501 , 5041 , 5401", "answer3": "5401 , 5041 , 4501 , 4051", "correct_answer": 2, "skill_id": 68, "difficulty_id": 2, "explanation": "Smallest to largest: 4051, 4501, 5041, 5401 (compare thousands then hundreds then tens).", "hints": ["Compare the thousands digit first.", "When thousands are equal, compare the hundreds digit."], "source": "ACS Primary 2023 P3 End of Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Numbers shown in cards in the stem; options are text sequences. Key: option 3." }, { "n": 5, "type_id": 1, "question": "Benny had some marbles at first. He gave 4 of his friends 268 marbles each and had 4 marbles left. How many marbles did Benny have at first?", "answer0": "1072", "answer1": "1076", "answer2": "876", "answer3": "611", "correct_answer": 1, "skill_id": 76, "difficulty_id": 2, "explanation": "4 × 268 = 1072 given away, plus 4 left = 1076.", "hints": ["Find the total marbles given away: 4 × 268.", "Add the 4 marbles left over."], "source": "ACS Primary 2023 P3 End of Year Exam Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2 (1076)." }, { "n": 6, "type_id": 1, "question": "When a number is divided by 6, the quotient is 24. The remainder is 5. What is the number?", "answer0": "126", "answer1": "139", "answer2": "144", "answer3": "149", "correct_answer": 3, "skill_id": 74, "difficulty_id": 2, "explanation": "Number = quotient × divisor + remainder = 24 × 6 + 5 = 144 + 5 = 149.", "hints": ["Multiply the quotient by the divisor: 24 × 6.", "Add the remainder of 5."], "source": "ACS Primary 2023 P3 End of Year Exam Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4 (149)." }, { "n": 7, "type_id": 1, "question": "In the figure, which one of the following angles is smaller than a right angle?", "answer0": "∠a", "answer1": "∠b", "answer2": "∠c", "answer3": "∠d", "correct_answer": 2, "skill_id": 99, "difficulty_id": 2, "explanation": "Angle c at the top-right vertex of the quadrilateral is the acute angle (smaller than a right angle).", "hints": ["A right angle is 90° (a square corner).", "Look for the angle that is sharper than a square corner."], "source": "ACS Primary 2023 P3 End of Year Exam Q7", "image_needed": true, "image_page": 6, "image_loc": "below the question, an irregular quadrilateral with angles labelled a (bottom-left), b (upper-left), c (top-right) and d (bottom-right)", "image_options": false, "image_file": "q7.png", "notes": "Key: option 3 (∠c). Figure needed to judge the angles." }, { "n": 8, "type_id": 1, "question": "Which of the following is not an equivalent fraction of [?] 1/6 ?", "answer0": "5/30", "answer1": "2/12", "answer2": "3/18", "answer3": "3/24", "correct_answer": 3, "skill_id": 77, "difficulty_id": 2, "explanation": "5/30, 2/12 and 3/18 all simplify to 1/6, but 3/24 = 1/8, which is not equivalent to 1/6.", "hints": ["Simplify each fraction to its lowest terms.", "The one that does not reduce to 1/6 is the answer."], "source": "ACS Primary 2023 P3 End of Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Stem fraction 1/6 written as a fraction; options are text fractions. Key: option 4 (3/24)." }, { "n": 9, "type_id": 1, "question": "Which of the following has the longest distance?", "answer0": "88 km", "answer1": "8 km 80 m", "answer2": "8000 m", "answer3": "8888 m", "correct_answer": 0, "skill_id": 86, "difficulty_id": 2, "explanation": "88 km = 88000 m, which is far longer than 8080 m, 8000 m and 8888 m.", "hints": ["Convert every distance to metres (1 km = 1000 m).", "Compare the converted values."], "source": "ACS Primary 2023 P3 End of Year Exam Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 1 (88 km)." }, { "n": 10, "type_id": 1, "question": "Daniel and his friends left Bird Paradise at 18 20. They spent 7 h 55 min at Bird Paradise. What time did they reach Bird Paradise?", "answer0": "02 15", "answer1": "10 15", "answer2": "10 25", "answer3": "11 05", "correct_answer": 2, "skill_id": 135, "difficulty_id": 2, "explanation": "They reached before they left, so subtract the duration: 18 20 − 7 h 55 min = 10 25.", "hints": ["They reached earlier, so work backwards from 18 20.", "Subtract 7 h 55 min from 18 20."], "source": "ACS Primary 2023 P3 End of Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "24-hour clock. Key: option 3 (10 25)." }, { "n": 11, "type_id": 1, "question": "Write nine thousand, seven hundred and twelve in numerals.", "answer0": "9712", "answer1": "9721", "answer2": "90712", "answer3": "9072", "correct_answer": 0, "skill_id": 67, "difficulty_id": 1, "explanation": "Nine thousand, seven hundred and twelve = 9712.", "hints": ["9 thousands, 7 hundreds, 1 ten, 2 ones.", "Write each place value digit in order."], "source": "ACS Primary 2023 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Original is a numeral answer but word/numeral writing graded as MCQ to avoid fragile exact-match. Key answer: 9712 (option 1)." }, { "n": 12, "type_id": 2, "question": "Form the greatest 4-digit odd number using all the digits shown in the cards. 4, 0, 3, 5 [?]", "answer0": "5403", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 68, "difficulty_id": 2, "explanation": "Greatest odd number must end in an odd digit. To be greatest, put 5 then 4 then 0 in front and end in the odd 3: 5403.", "hints": ["An odd number ends in 1, 3, 5, 7 or 9.", "Arrange the remaining digits from largest to smallest at the front."], "source": "ACS Primary 2023 P3 End of Year Exam Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Digit cards 4,0,3,5 shown in stem. Key: 5403." }, { "n": 13, "type_id": 2, "question": "Study the number pattern. What is the missing number? 3657 , [?] , 3755 , 3804 , 3853", "answer0": "3706", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 2, "explanation": "The pattern increases by 49 each time. 3657 + 49 = 3706 (and 3706 + 49 = 3755).", "hints": ["Find the difference between consecutive terms, e.g. 3804 − 3755.", "Add that difference to 3657."], "source": "ACS Primary 2023 P3 End of Year Exam Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3706." }, { "n": 14, "type_id": 2, "question": "A set of numbers is shown. Which 2 numbers add up to 831? 471, 534, 307, 360 [?] and [?]", "answer0": "471", "answer1": "360", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 70, "difficulty_id": 2, "explanation": "471 + 360 = 831.", "hints": ["Try pairs and add them.", "Look for two numbers whose ones digits add to 1."], "source": "ACS Primary 2023 P3 End of Year Exam Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Numbers shown in cards in the stem. Two-blank answer; order interchangeable. Key: 471 and 360." }, { "n": 15, "type_id": 2, "question": "Complete the following equation. 9 × 8 = [?] − 18", "answer0": "90", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 73, "difficulty_id": 2, "explanation": "9 × 8 = 72, so the box − 18 = 72, meaning box = 72 + 18 = 90.", "hints": ["First work out 9 × 8.", "The box minus 18 equals that product, so add 18."], "source": "ACS Primary 2023 P3 End of Year Exam Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 9 x 8 = 72; 72 + 18 = 90. Answer 90." }, { "n": 16, "type_id": 2, "question": "The number line is marked at equal intervals. What is the value of A on the number line? [?]", "answer0": "4800", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 2, "explanation": "From 3000 to 4000 there are 5 equal intervals of 200. A sits 4 intervals past 4000 plus... reading the scale, A = 4800.", "hints": ["Find the value of one interval: 1000 ÷ 5 = 200.", "Count the intervals from the nearest labelled mark to A."], "source": "ACS Primary 2023 P3 End of Year Exam Q16", "image_needed": true, "image_page": 10, "image_loc": "below the question, a horizontal number line labelled 3000, 4000, 5000, 6000 with equal tick intervals and an arrow/box marked A just before 5000", "image_options": false, "image_file": "q16.png", "notes": "Key: 4800. Figure (number line) needed to locate A." }, { "n": 17, "type_id": 2, "question": "Write the time in 24-hour clock. 12.01 a.m. = [?]", "answer0": "00 01", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 134, "difficulty_id": 2, "explanation": "12.01 a.m. is one minute after midnight, written as 00 01 in 24-hour clock.", "hints": ["Midnight (12 a.m.) is 00 00 in 24-hour clock.", "Add the 1 minute."], "source": "ACS Primary 2023 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Table in stem (12-hour 12.01 a.m. -> 24-hour). Key: 00 01." }, { "n": 18, "type_id": 2, "question": "What is the missing denominator in the box? 2/7 = 12/[?]", "answer0": "42", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 80, "difficulty_id": 2, "explanation": "12 ÷ 2 = 6, so multiply numerator and denominator of 2/7 by 6: 7 × 6 = 42.", "hints": ["Find what the numerator 2 was multiplied by to get 12.", "Multiply the denominator 7 by the same factor."], "source": "ACS Primary 2023 P3 End of Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 12 ÷ 2 = 6; 7 x 6 = 42. Answer 42." }, { "n": 19, "type_id": 2, "question": "Find the missing number in the box. [?] × 3 = 927", "answer0": "309", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 2, "explanation": "927 ÷ 3 = 309.", "hints": ["The box times 3 equals 927, so divide.", "927 ÷ 3."], "source": "ACS Primary 2023 P3 End of Year Exam Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 309." }, { "n": 20, "type_id": 2, "question": "Find the difference between 4010 and 419. [?]", "answer0": "3591", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 70, "difficulty_id": 2, "explanation": "4010 − 419 = 3591.", "hints": ["Difference means subtract the smaller from the larger.", "4010 − 419."], "source": "ACS Primary 2023 P3 End of Year Exam Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3591." }, { "n": 21, "type_id": 2, "question": "Arrange the fractions in order. Begin with the greatest. 3/8 , 1/4 , 7/11 , 3/7 [?] , [?] , [?] , [?]", "answer0": "7/11", "answer1": "3/7", "answer2": "3/8", "answer3": "1/4", "correct_answer": null, "skill_id": 79, "difficulty_id": 3, "explanation": "As decimals: 7/11≈0.64, 3/7≈0.43, 3/8=0.375, 1/4=0.25. Greatest to smallest: 7/11, 3/7, 3/8, 1/4.", "hints": ["Compare each fraction to 1/2.", "Convert to a common comparison (e.g. decimals) to order them."], "source": "ACS Primary 2023 P3 End of Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering task as FIB, greatest first. Key: 7/11, 3/7, 3/8, 1/4." }, { "n": 22, "type_id": 2, "question": "Find the perimeter of Figure A. [?]", "answer0": "22", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 2, "explanation": "Counting the unit-length sides of the rectilinear Figure A on the 1 cm grid gives a perimeter of 22 cm.", "hints": ["Each grid square is 1 cm by 1 cm.", "Count the unit edges all the way around the bold outline."], "source": "ACS Primary 2023 P3 End of Year Exam Q22", "image_needed": true, "image_page": 12, "image_loc": "below the question, a square grid with a bold rectilinear shape labelled A in the middle; 1 cm scale arrows at the right and bottom", "image_options": false, "image_file": "q22.png", "notes": "Answer in cm. Key: 22 cm. Grid figure needed to trace the outline." }, { "n": 23, "type_id": 2, "question": "What is the missing number in the following pattern? [?]", "answer0": "32", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 3, "explanation": "In the triangle, each upper number equals the sum of the two below it. The bottom shaded value = 43 − 11 = 32 (since 24 − 13 = 11 holds for the left pair).", "hints": ["Look at how the two small triangles below combine into the one above.", "Use 43 and 11 to find the missing value: 43 − 11."], "source": "ACS Primary 2023 P3 End of Year Exam Q23", "image_needed": true, "image_page": 13, "image_loc": "below the question, a large triangle subdivided into smaller triangles containing 67, 24, 43, 13, 11 and a ? in the bottom-right small triangle", "image_options": false, "image_file": "q23.png", "notes": "Key working: 24 − 13 = 11; 43 − 11 = 32. Answer 32. Triangle pattern figure needed." }, { "n": 24, "type_id": 1, "question": "Name the pair of perpendicular lines in the figure.", "answer0": "GH ⊥ AB", "answer1": "AB ⊥ CD", "answer2": "EF ⊥ JK", "answer3": "CD ⊥ GH", "correct_answer": 0, "skill_id": 100, "difficulty_id": 2, "explanation": "Line GH is vertical and line AB is horizontal, meeting at a right angle, so GH ⊥ AB.", "hints": ["Perpendicular lines meet at a right angle (90°).", "Find the vertical line and the horizontal line that cross at a square corner."], "source": "ACS Primary 2023 P3 End of Year Exam Q24", "image_needed": true, "image_page": 13, "image_loc": "below the question, a dotted square grid with several straight lines labelled A B, C D, E F, G H, J K crossing each other", "image_options": false, "image_file": "q24.png", "notes": "Original asks to name perpendicular pair; rendered as MCQ (word/letter answer must not be FIB). Key: GH ⊥ AB (option 1). Figure needed to identify the lines." }, { "n": 25, "type_id": 2, "question": "Aaron had 240 cards. He shared the cards equally with 3 of his friends. How many cards did each of them get? [?]", "answer0": "60", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Shared among Aaron and 3 friends = 4 people: 240 ÷ 4 = 60.", "hints": ["\"Shared with 3 friends\" means 4 people in total.", "240 ÷ 4."], "source": "ACS Primary 2023 P3 End of Year Exam Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 240 ÷ 4 = 60." }, { "n": 26, "type_id": 2, "question": "A fruit seller had 3850 oranges. He threw away 86 rotten oranges and sold 2368 oranges. How many oranges had he left? [?]", "answer0": "1396", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "2368 + 86 = 2454 removed; 3850 − 2454 = 1396 left.", "hints": ["Add the oranges thrown away and sold.", "Subtract that total from 3850."], "source": "ACS Primary 2023 P3 End of Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 2368 + 86 = 2454; 3850 − 2454 = 1396. Answer 1396." }, { "n": 27, "type_id": 2, "question": "What are the missing digits? 8 A 3 9 − 5 1 4 2 = 3 3 9 B [?] , [?]", "answer0": "5", "answer1": "7", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 70, "difficulty_id": 3, "explanation": "Ones: 9 − 2 = 7, so B = 7. Hundreds: A − 1 = 3, so A = 5 (check: 8539 − 5142 = 3397).", "hints": ["Work column by column from the right.", "Ones column gives B; hundreds column gives A."], "source": "ACS Primary 2023 P3 End of Year Exam Q27", "image_needed": false, "image_options": false, "image_file": null, "notes": "Vertical subtraction 8A39 − 5142 = 339B with boxes A and B. Two blanks in order A then B. Key: A = 5, B = 7." }, { "n": 28, "type_id": 2, "question": "Mrs Lee bought some pencils. She gave 105 pencils to her students and packed the remaining pencils into 15 packets. There were 5 pencils in each packet. How many pencils did Mrs Lee have at first? [?]", "answer0": "180", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Packed = 15 × 5 = 75. Total = 75 + 105 = 180.", "hints": ["Find the packed pencils: 15 × 5.", "Add the 105 pencils given away."], "source": "ACS Primary 2023 P3 End of Year Exam Q28", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 15 x 5 = 75; 75 + 105 = 180. Answer 180." }, { "n": 29, "type_id": 2, "question": "There are 10 trees planted along a park. The distance between the trees is equal. The distance between the first and the tenth tree is 171 m. What is the distance between the first and third tree planted along the park? [?]", "answer0": "38", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 3, "explanation": "10 trees make 9 equal gaps: 171 ÷ 9 = 19 m per gap. First to third tree is 2 gaps: 19 × 2 = 38 m.", "hints": ["From the first to the tenth tree there are 9 gaps, not 10.", "First to third tree is 2 gaps."], "source": "ACS Primary 2023 P3 End of Year Exam Q29", "image_needed": true, "image_page": 15, "image_loc": "below the question, a row of trees labelled First, Second, Third ... Tenth with a 171 m span arrow underneath", "image_options": false, "image_file": "q29.png", "notes": "Answer in m. Key working: 171 ÷ 9 = 19; 19 x 2 = 38 m. Tree-row figure illustrates the spacing." }, { "n": 30, "type_id": 1, "question": "David holds up a card which reads 5167. He describes this 4-digit number in two sentences. (a) The 4-digit number is an even number. (b) The value of the digit in the thousands place is 1000. Which statement is true?", "answer0": "Both (a) and (b) are false", "answer1": "Only (a) is true", "answer2": "Only (b) is true", "answer3": "Both (a) and (b) are true", "correct_answer": 0, "skill_id": 66, "difficulty_id": 2, "explanation": "5167 ends in 7, so it is odd, not even: (a) is false. The thousands digit 5 has value 5000, not 1000: (b) is false. Both false.", "hints": ["Check the last digit to decide odd or even.", "The value of the thousands digit is the digit × 1000."], "source": "ACS Primary 2023 P3 End of Year Exam Q30", "image_needed": false, "image_options": false, "image_file": null, "notes": "Original is a True/False table (a. F, b. F per key). Recast as single MCQ because per-statement T/F isn't an app type. Key: both false (option 1)." }, { "n": 31, "type_id": 2, "question": "Mandy bought 3 times as many sweets as Alex. She bought 80 more sweets than Alex. How many sweets did they buy altogether? [?]", "answer0": "160", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "The 80 extra equals 2 of Alex's units (3 units − 1 unit), so 1 unit = 80 ÷ 2 = 40 (Alex). Altogether = 4 units = 4 × 40 = 160.", "hints": ["Mandy has 3 units, Alex 1 unit; the difference of 2 units is 80.", "Find 1 unit, then total 4 units."], "source": "ACS Primary 2023 P3 End of Year Exam Q31", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 80 ÷ 2 = 40; 40 x 4 = 160. Answer 160." }, { "n": 32, "type_id": 2, "question": "A baker has 294 donuts. He packed 7 donuts in one box. How many boxes of donuts are there? [?]", "answer0": "42", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 2, "explanation": "294 ÷ 7 = 42 boxes.", "hints": ["Divide the total donuts by the number per box.", "294 ÷ 7."], "source": "ACS Primary 2023 P3 End of Year Exam Q32", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 294 ÷ 7 = 42." }, { "n": 33, "type_id": 2, "question": "The bar graph showed the number of cupcakes that was sold each day in a cafe. (a) On which day was the least number of cupcakes sold? (b) How many cupcakes were sold on Monday and Thursday altogether? [?] , [?]", "answer0": "Wednesday", "answer1": "100", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "(a) The shortest bar is Wednesday (25). (b) Monday 45 + Thursday 55 = 100.", "hints": ["The least is the shortest bar.", "Read the Monday and Thursday bar heights and add them."], "source": "ACS Primary 2023 P3 End of Year Exam Q33", "image_needed": true, "image_page": 17, "image_loc": "below the question, a vertical bar graph titled \"Number of Cupcakes sold in a Cafe\" with bars for Monday-Friday, y-axis 0-60", "image_options": false, "image_file": "q33.png", "notes": "Two-part answer: (a) Wednesday, (b) 100 (45 + 55). Bar graph figure required to read values." }, { "n": 34, "type_id": 2, "question": "Each cupcake was sold for $3. How much did the cafe collect from all the cupcakes that were sold on Tuesday and Friday? $[?]", "answer0": "225", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 2, "explanation": "Tuesday 35 + Friday 40 = 75 cupcakes; 75 × $3 = $225.", "hints": ["Read Tuesday and Friday bar heights from the graph and add.", "Multiply the total cupcakes by $3."], "source": "ACS Primary 2023 P3 End of Year Exam Q34", "image_needed": true, "image_page": 17, "image_loc": "uses the same bar graph as Q33, on the page above this question", "image_options": false, "image_file": "q34.png", "notes": "Answer in dollars. Key working: 35 + 40 = 75; 75 x 3 = $225. Same bar graph as Q33 (page 17)." }, { "n": 35, "type_id": 2, "question": "There were some marbles in a box. 1/3 of the marbles were green and 5/12 of the marbles were red. The rest of the marbles were blue. What fraction of the marbles were blue? Give your answers in its simplest form. [?]", "answer0": "1/4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 81, "difficulty_id": 3, "explanation": "Green = 1/3 = 4/12. Green + red = 4/12 + 5/12 = 9/12. Blue = 12/12 − 9/12 = 3/12 = 1/4.", "hints": ["Make the fractions have the same denominator (12).", "Subtract the green and red fractions from 1 whole."], "source": "ACS Primary 2023 P3 End of Year Exam Q35", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in simplest form. Key working: 4/12 + 5/12 = 9/12; 12/12 − 9/12 = 3/12 = 1/4. Answer 1/4." }, { "n": 36, "type_id": 2, "question": "The table shows the programmes at the Science Centre. The Human Body 20 min, Forensic Investigative Science 1 h 45 min, Stargazing 35 min. (a) John attended the Stargazing programme at 11.45 a.m. What time did he finish the programme? (b) Winnie attended The Human Body programme at 10 a.m. She rested for 30 minutes and then continued with the Forensic Investigative Science programme. What time did she complete the Forensic Investigative Science programme? [?] , [?]", "answer0": "12.20 p.m.", "answer1": "12.35 p.m.", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 93, "difficulty_id": 3, "explanation": "(a) 11.45 a.m. + 35 min = 12.20 p.m. (b) 10 a.m. + 20 min = 10.20; + 30 min rest = 10.50; + 1 h 45 min = 12.35 p.m.", "hints": ["Add the programme duration to the start time.", "For (b) add all three durations in order: 20 min, 30 min rest, then 1 h 45 min."], "source": "ACS Primary 2023 P3 End of Year Exam Q36", "image_needed": false, "image_options": false, "image_file": null, "notes": "Programme/duration table is text-reproducible in stem. Two-part answer: (a) 12.20 p.m., (b) 12.35 p.m." }, { "n": 37, "type_id": 2, "question": "A table and 4 similar chairs cost $179.60. The table and 1 such chair cost $106.40. (a) What was the cost of 3 such chairs? (b) The table cost $57.60 more than the chair. What is the cost of the table? $[?] , $[?]", "answer0": "73.20", "answer1": "82.00", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 3, "explanation": "(a) 4 chairs − 1 chair = 3 chairs = $179.60 − $106.40 = $73.20. (b) 1 chair = $73.20 ÷ 3 = $24.40; table = $24.40 + $57.60 = $82.00.", "hints": ["Subtract the two totals to remove the table and find 3 chairs.", "For (b) find one chair, then add $57.60."], "source": "ACS Primary 2023 P3 End of Year Exam Q37", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answers in dollars. Two-part: (a) $73.20, (b) $82.00. Key working: 179.60 − 106.40 = 73.20; 73.20 ÷ 3 = 24.40; 24.40 + 57.60 = 82.00." }, { "n": 38, "type_id": 2, "question": "A weighing scale is used to measure the mass of a bag of flour. A baker used some flour from the bag of flour and had 378 g left. (a) How much flour did the baker use? (b) The baker packed the remaining flour into 3 equal bags. What is the mass of each bag of flour? [?] , [?]", "answer0": "822 g", "answer1": "126 g", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 3, "explanation": "The scale shows 1 kg 200 g = 1200 g at first. (a) Used = 1200 g − 378 g = 822 g. (b) Remaining 378 g ÷ 3 = 126 g each.", "hints": ["Read the dial in kg and g, then convert to grams (1 kg = 1000 g).", "(a) subtract 378 g from the total; (b) divide the 378 g left by 3."], "source": "ACS Primary 2023 P3 End of Year Exam Q38", "image_needed": true, "image_page": 21, "image_loc": "below the question, a drawing of a bag labelled \"Flour\" on a dial weighing scale reading in kg (0-3 kg), pointer near 1.2 kg", "image_options": false, "image_file": "q38.png", "notes": "Answers in g. Two-part: (a) 822 g, (b) 126 g. Key working: 1200 g − 378 g = 822 g; 378 ÷ 3 = 126 g. Scale dial figure needed to read the starting mass (1200 g)." }, { "n": 39, "type_id": 2, "question": "The figure is made up of Square A and Rectangles B, C and D. (a) What is the perimeter of the figure? (b) Find the difference between the area of Square A and Rectangle D. [?] , [?]", "answer0": "32 cm", "answer1": "6 m²", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 3, "explanation": "(a) Per the key the outer perimeter sums to 7 + 9 + 7 + 9 = 32. (b) Square A side 2 m, area 4 m²; Rectangle D is 2 m × 5 m = 10 m²; difference 10 − 4 = 6 m².", "hints": ["Add up all the outer edges of the L-shaped figure for the perimeter.", "(b) Area of square = side × side; area of rectangle = length × breadth; then subtract."], "source": "ACS Primary 2023 P3 End of Year Exam Q39", "image_needed": true, "image_page": 22, "image_loc": "above part (a), a composite figure (Square A top-right, Rectangle B, Rectangle D right, Rectangle C bottom) with labels 2 m, 3 m, 2 m and base 9 m", "image_options": false, "image_file": "q39.png", "notes": "Answers: (a) 32 cm (as printed in key; figure dimensions are in m so likely 32 m), (b) 6 m². Key working: a) 7 + 9 + 7 + 9 = 32; b) 2 x 2 = 4, 5 x 2 = 10, 10 − 4 = 6 m². Unit mismatch in key (cm vs m) noted; dimensions on figure are in metres." }, { "n": 40, "type_id": 2, "question": "A total of 1500 people attended a concert. There were 992 adults. The rest were children. (a) How many children attended the concert? (b) There were same number of men and women attended the concert. During the concert, some women left. In the end, there were 4 times as many men as women who stayed on till the end of the concert. How many women left the concert? [?] , [?]", "answer0": "508", "answer1": "372", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "(a) 1500 − 992 = 508 children. (b) Men = women = 992 ÷ 2 = 496. At end men (496) = 4 × women left = women remaining = 496 ÷ 4 = 124. Women who left = 496 − 124 = 372.", "hints": ["(a) Subtract the adults from the total.", "(b) Split adults equally into men and women; men stay the same and equal 4 times the remaining women."], "source": "ACS Primary 2023 P3 End of Year Exam Q40", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part: (a) 508, (b) 372. Key working: 1500 − 992 = 508; 992 ÷ 2 = 496; 496 ÷ 4 = 124; 496 − 124 = 372." } ] }