Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is 110 the area of the square while the area of B is 16 the area of the square.
  1. The total areas of A and B is 240 cm2. What is the length of each side of the square?
  2. What fraction of the square is Area of D?
5 m
Level 3
There were 801 students at a cinema at first. After 27 of the girls and 12 of the boys left, there were still 103 more boys than girls at the cinema. How many boys were there at first?
5 m
TRY FOR FREE
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
  1. The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
  2. What is the area of the shaded part?
4 m
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
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
Level 2
When Mr Vincent is 34 years old, his nephew is 11 years old. In how many years will he be 2 times as old as his nephew?
2 m
Level 2
Last year, Ben was 4 times as old as his son, Fred. This year, their total age is 52 years old. How old will Ben be when he is 3 times as old as Fred?
2 m
Level 2
Asher had 5 times as many buttons as Carl at first. Then each of them bought an equal number of new buttons. In the end, Carl had 42 buttons and Asher had 3 times as many buttons as Carl. How many buttons did both of them buy altogether?
2 m
Level 2
Mark is 14 years old. His uncle is 42 years older than him. In how many years will Mark's uncle be 3 times as old as Mark?
2 m
Level 2 PSLE
At first, the books in a library were placed on 30 shelves with an equal number of books on each shelf. 3 shelves were removed and the books on these shelves were placed on the remaining shelves. Because of this, the number of books on each remaining shelf increased by 5. What was the number of books on each shelf at first?
2 m
Level 2 PSLE
Abel had 13 more two-dollar notes than five-dollar notes at first. He exchanged $20 worth of five-dollar notes for two-dollar notes. How many less five-dollar notes than two-dollar notes did Abel have after the exchange?
2 m