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
If Adam gives Bryan 30 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 3 stickers,
the number of stickers that Adam will have is 40% of Bryan's.
  1. How many stickers does Adam have?
  2. How many stickers does Bryan have?
4 m
Level 3
Rael's age is 25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
3 m
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
4 m
Level 3
Adam has some blue stickers and red stickers.
If 500 blue stickers are added, 30% of the stickers will be red stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Justin had $59.10 less than Betty. He spent 57 of his money on a stapler which cost $10.50. Betty spent 29 of her money on a vest. How much had Betty left?
4 m
Level 3
Betty, Xuan and Ruth had a total of 1552 pens. Betty gave 13 of her pens away. Ruth gave away 5 times as many pens as Betty and Xuan gave away 267 pens. In the end, they had 523 pens left. How many pens did Xuan and Ruth have in total in the end?
4 m
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 300 blue stickers are removed, 25% of the stickers will be blue stickers.
If 200 red stickers are removed, 20% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
In October, the ratio of boys and girls in a school's rifle club was 4 : 7. In November, 68 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 64 boys in the club in October. How many of the new members were girls?
4 m