Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
5 m
Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
  1. What is the radius of each quarter circle?
  2. What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
5 m
Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is 38 of AG. Find the total shaded area.
5 m
Level 3
The rectangle is divided into four parts A, B, C and D. The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
  1. Find the ratio of Part A to Part B to Part C.
  2. Given that Part D is 26 cm2 , find the area of the rectangle.
5 m
Level 1
A durian cost twice as much as a mango. Julie bought 5 durians and 5 mangoes for $30. How much does a mango cost?
2 m
Level 1 PSLE
Cody packed 596 buttons into four cartons, labelled A, B, C and D. Carton A had the most number of buttons and Carton D had the least. The difference in the number of buttons between Carton A and the number of buttons in the other three cartons were 12, 36 and 64 respectively. How many buttons were there in Carton D?
2 m
Level 2
3 chairs and 3 tables cost $180. 2 similar chairs and 1 similar table cost $110. How much is a table?
2 m
Level 3 PSLE
Four girls, Ally, Bernice, Cally and Donna raised money for a charity. Ally and Bernice raised a total of $105. Together, Bernice, Cally and Donna raised a total of $180. The total amount of money raised by all 4 girls is 4 times the amount that Bernice raised. How much money did Bernice raise?
2 m
Level 2
Anna had 76 more marbles than Wendy at first. Wendy gave 19 of her marbles to Anna. Anna now has 3 times as many marbles as Wendy. How many marbles did Wendy have at first?
2 m
Level 2 PSLE
Reggie and Xuan have some erasers. After Reggie gives 28 erasers to Xuan, he has 30 erasers more than her. How many more erasers than Xuan does Reggie have at first?
2 m