Level 3
The number of lava cakes on display at a cafe was 34 of the number of cupcakes on display. After 20 lava cakes were bought and the staff added another 30 cupcakes, the number of cupcakes was twice the number of lava cakes. The last group of customers bought 5 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
4 m
Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
3 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
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
Jessa gives 27 of her pizza to Girly. She also gives twice as many pizza to Jenny. What fraction of her pizza does Jessa have left?
4 m
Level 3
A fruit seller had apples and durians. The ratio of apples to durians was 5 : 3. After 34 of the apples and 38 durians were sold, there were 2 times as many apples as durians left. How many apples and durians were there at first?
4 m
Level 3
Tank E contained 4 times as many guppies as Tank F. When 10% of the guppies in Tank E and 10% of the guppies in Tank F were transferred to Tank G, Tank G had 120 guppies, which was 20% more guppies than before. How many less guppies were there in Tank F than Tank E in the end?
4 m
Level 3 PSLE
Jade and Kylie went shopping together with a total amount of $93.90. Jade spent 2 times as much as Kylie. The amount Kylie had left was $11 more than what she had spent. She had 2 times as much money left as Jade.
  1. How much money did Kylie spend?
  2. How much money did Jade have at first?
4 m
Level 3
Cathy, Zoe and Ruth went shopping together. They brought a total of $1633 with them. Cathy spent 50% of her money. Zoe spent $224 and Ruth spent twice as much money as Cathy. In the end, they had $785 left. How much money did Zoe and Ruth have altogether in the end?
4 m
Level 3
PQRS, PABS and ABRQ are rectangles. AQ is twice as long as AP. Find the area of the shaded parts.
3 m