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
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
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 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
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years old as of now. ln how many years' time will Calvin be 3 times as old as Ali?
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
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
Level 3
There were 360 males and 400 females queueing up for a fan meeting. The ratio of the number of males to the number of females who left the queue was in the ratio 1 : 2. As a result, the ratio of the number of females became four times as many as the number of males who remained in the queue. How many people left the queue?
4 m
Level 2
The figures show 3 different fruits, a pineapple, a bunch of bananas and 2 similar mangoes. The mass of a mango is 23 of the mass of the bunch of bananas.
  1. Find the mass of the bunch of bananas.
  2. Find the mass of the pineapple.
4 m
Level 3
Hannah went shopping with 4 times the amount that Kelly brought. The ratio of the amount of money Kelly spent to the amount of money Hannah spent was 2 : 3. In the end, Kelly and Hannah had $12 and $108 respectively. How much did Kelly spend?
4 m
Level 3
A store owner had coconuts and papayas. The ratio of coconuts to papayas was 5 : 2. After 12 of the coconuts and 18 papayas were sold, there were 2 times as many coconuts as papayas left. How many coconuts and papayas were there at first?
4 m
Level 3
Isabelle had $574 less than Jane. Jane spent 35 of her money and Isabelle spent 34 of her money. In the end, Jane had 3 times as much as Isabelle. Find the amount of money Isabelle had at first.
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
Ben, Jen and Tanya have a total of $134.50. Jen has $8 more than Ben. Tanya has thrice as much money as Jen. How much money does Tanya have?
3 m
Level 3
Liam had 57 as many 20-cent coins as 1-dollar coins in his piggy bank. Each time, four 20-cent coins and six 1-dollar coins were taken out from the piggy bank. In the end, only seven 20-cent coins and four 1-dollar coins were left in the piggy bank. How many more 1-dollar coins than 20-cent coins were there in the piggy bank at first?
4 m
Level 3
Aunt Tina baked 50 less cookies than muffins. After she gave 35 of the muffins and 0.7 of the cookies to Cathy, she was left with 88 fewer cookies than muffins. How many muffins did she bake?
4 m