Level 3
Annie had 23 as many stamps as Becky. The sum of the number of stamps Annie and Becky had was the same as the number of stamps that Callie had. After trading, Callie gave 20% of her stamps to Annie and received 25% of Becky's stamps. If Becky wanted to increase her number of stamps in the end by 25%, find the ratio of her number of stamps to the sum of Annie's and Callie's stamps in the end.
4 m
Level 3
Class 5 Goodness and 5 Love had the same number of students. The ratio of the number of girls in 5 Goodness to the number of girls in 5 Love was 1 : 13. The ratio of the number of boys in 5 Goodness to the number of boys in 5 Love was 7 : 1.
  1. What is the ratio of the number of boys to the number of girls in Class 5 Goodness?
  2. If there were 33 fewer boys than girls in Class 5 Love, how many students were there each class?
4 m
Level 3
Peter is 56 of Ethan's age. In 10 years' time, their total age will be 75. What is the ratio of Ethan's age to Peter's age 12 years from now?
4 m
Level 3
There were 182 red, blue and green marbles in a box. 26 green marbles were removed from the box and the ratio of the number of red marbles to the number of blue marbles to the number of green marbles became 4 : 3 : 5. Then some yellow marbles were added and the ratio of the number of green marbles to the number of yellow marbles was 13 : 9.
  1. What was the ratio of the number of red marbles to the number of blue marbles to the number of green marbles at first?
  2. How many marbles were in the box in the end?
4 m
Level
Fred had 12 as many erasers as Will. Will had 23 as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.
  1. What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
  2. How many erasers did Will have in the end?
4 m
Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?
4 m
Level 3
In January, Anna and Ryan had stamps in the ratio 5 : 2. In February, each of them gave away the same number of stamps. Anna then had thrice as many stamps as Ryan.
  1. Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
  2. Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
4 m
Level 3
The ratio of the number of ducks in Farm A to the number of ducks in Farm B was 5 : 9. There were 48 fewer ducks in Farm A than in Farm B. When 5 ducks escaped from Farm B, the farmer in Farm B bought another 9 ducks. What was the new ratio of the number of ducks in Farm A to the number of ducks in Farm B in the end? Give your answer in the simplest form.
4 m
Level 3
Eva and Fiona went shopping with a total of $200. After Eva spent 34 of her money and Fiona spent $46, the ratio of Fiona's money became 3 times as much as Eva's money. Find the ratio of Eva's money to Fiona's money at first.
4 m
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m