Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest circle?
2 m
Level 3
Ethan and Ian share a sum of money. Ethan receives $2400. If Ethan gets $105 less, the amount of money Ian gets will increase by 35%. Find the sum of money that the boys share.
3 m
Level 3
Carl was fixing a jigsaw puzzle. By the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?
3 m
Level 3
Henry, Jack and Liam sold some calculators. Liam sold 30% of the total number of calculators sold by Jack and Henry. Henry sold 20% of the total number of calculators sold by Jack and Liam. Jack sold 87 more calculators than Liam. Find the total number of calculators sold by all the boys.
3 m
Level 3
Betty, Mary and Jane shared a sum of money. Betty and Mary received 80% of the total amount of money. Mary and Jane received 50% of the total amount of money. Given that Betty received $66 more than Jane, how much was the sum of money that was shared by Betty and Jane?
3 m
Level 3
The petrol tank of Fred's convertible was 80% empty. He went to the petrol kiosk and topped up 25ℓ of petrol. When he reached the theme park, the petrol tank was 90% full. Given that he used 4ℓ of fuel to get to the theme park from the kiosk, find the capacity of the petrol tank.
3 m
Level 3
Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?
3 m
Level 3 PSLE
Rael, Sam and Fred had 180 stickers altogether. Rael gave 310 of his stickers to Sam and 15 of his stickers to Fred. After that, all three boys had the same number of stickers. What was the difference in the number of stickers between Sam and Fed at first?
3 m
Level 3
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than 12 of the total number of cartons. How many more cartons were unpainted than painted on the first day?
4 m
Level 3
The number of boys to the number of girls in Primary 4 Kindness was 4 : 7. The number of boys to the number of girls in Primary 4 Joy was 4 : 7. Both classes had the same number of boys. When 18 girls from Primary 4 Kindness joined Primary 4 Joy, the ratio of the number of boys to the number of girls in Primary 4 Kindness became 2 : 3. Find the total enrolment of both classes.
4 m