Level 3 PSLE
Figure 1 is a trapezium with a perimeter of 18 cm. Figure 2 is made up of four such trapeziums. The perimeter of Figure 2 is 48 cm. What is the length of the side GH of the trapezium?
2 m
Level 2 PSLE
In the figure, ABDF and BCEF are rectangles and CDE is a straight line. AB = 6 cm, AF = 8 cm and BF = 10 cm. Find the length of BC.
2 m
Level 3
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up 34 of the tank. What is the height of the tank? Correct the answer to 1 decimal place.
3 m
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
3 m
Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)
2 m
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
  1. Find the area of the shaded face.
  2. Find the volume of the cube.
3 m
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm. After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
3 m
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Level 3 PSLE
All 22 children were assigned to welcome visitors to a kindergarten function. They were to line up in a row from one end to the other end at an equal spacing of 1.2 m apart. On the day of the function, 7 of the children did not turn up. As a result, the remaining children had to line up from one end to the other end of the corridor at a new equal spacing. What was the new spacing between 2 children? Express the answer in metres.
4 m
Level 2 PSLE
The shaded figure is formed by two identical circles with centres at A and C. ABCD is a square and the length of AB is 7 cm. Find the perimeter of the shaded figure. (Take π = 227)
2 m