Tiêu đề Y5 Maths ACER Exam 2- 2025 Week 16 Select Annotated Questions.pdf ✅

New Century School Y5-6 ACER Exam 2.4 New Century School Y5-6 ACER Exam 2 Mark the bubble corresponding to the correct answer on your answer sheet for each question. QUESTION 1. What is half of a third of two dozen? ‘Half’ and ‘two’ cancel 1 /3 × 12 = 4 A. 3 B. 4 C. 8 D. 9 QUESTION 2. Three out of twenty could also be expressed as: 3 /20 = (3 × 5)/(20 × 5) = 15/100 = 15% A. 2 out of 14 B. 15% C. 5 out of 35 D. 12% QUESTION 3. Find the missing angle in the following figure: Sum of angles in a triangle = 180° So X = 180 – 51 – 47 X = 82° A. 92o B. 82o C. 88o D. 98o QUESTION 4. A block of land is an isosceles triangle attached to a rectangle seen below. Find the size of the land. Area of rectangle = 12 × 30 + Area of triangle =1⁄2 ( 12 × 12) 12 × 30 = 360 and 1⁄2 ( 12 × 12)= 72 so 360 + 72 = 432m2 30 12 A. 432m2 B. 412 m2 C. 342 m2 D. 144m2 QUESTION 5. A town is putting out a fire. Each house on fire needs 3 caskets of water to put out. If the fire spreads throughout a block of 9 houses, how many caskets of water are needed? 1 house : 3 caskets 9 houses : 9 × 3caskets (=27) Houses multiplied by 9 so caskets by 9 as well; A. 9 B. 12 C. 18 D. 27
New Century School Y5-6 ACER Exam 2.4 New Century School Y5-6 ACER Exam 3 QUESTION 6. Kayla donated 40% of her earnings to charity and has $312 left. How much did she earn? Percentages sum to give 100 so 100 – 40 = 60% left so 60% = 312 A. $360 B. $424 C. $480 D. $520 QUESTION 7. What percentage of 500 is 80? 80 × 100 500 = 80 5 = 16 A. 12% B. 16% C. 18% D. 22% QUESTION 8. In the local co-ed softball league, the male to female ratio is 7:4. If there are 110 players in the league, how many are female? Total parts = 7 + 4 = 11 and 11 : 110 = × 10 so 4: ? = 4: 40 A. 38 B. 39 C. 40 D. 77 QUESTION 9. You have the set of numbers {-1, 3, 1, 9, -6, -10, -1, -2, 6, 7}. What is the ratio of positive numbers to negative numbers? Count: 5 negative numbers and 5 positive, so 5 : 5 then divide by 5 A. 13 : 25 B. 1 : 1 C. 25 : 13 D. 4 : 5 QUESTION 10. How many pairs of matching (both individuals must be the same material) chopsticks can you make with 13 wood, 8 metal and 11 plastic individual chopsticks. Wood: 13 ÷ 2 = 6 Metal: 8 ÷ 2 = 4 Plastic: 11 ÷ 2 = 5 so 6 + 4 + 5 = 15 A. 15 B. 12 C. 18 D. 9 QUESTION 11. A red candle can burn for 2 hours. Another purple candle made of the same wax, isthe same thickness, but half as tall. How long does it take the purple candle to burn halfway? Candle half as tall burns 1⁄2 × 2 = 1; Burning halfway: 1⁄2 × 1 = 1⁄2 hour = 30 min A. 1 hour B. 50mins C. 42mins D. 30mins QUESTION 12. If (19 – d) > 4, which of the following is correct: A) In above, subtract 19 from both sides: -d > -15 Multiply both sides by -1 flips sign from > to <, so d < 15 B) If you don’t know above, setting > to = gives the limit. So 19 – 4 = d so d=15, then substitute value close to determine answer, e.g. d = 14. Substitute d=14 into problem equation 19 – 14 > 4 This is true, so d < 15 A. d < 15 B. d > 15 C. d = 16 D. None of these 60% : $312 = 100% : $Earnt $Earnt = 312 × 100 60 = 312 × 5 3 = $520