Level 1 PSLE
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.3 cm, 8.1 cm and 9.6 cm. What is the area of the square?
2 m
Level 2 PSLE
ABCD is a square of side 20 cm. It is formed from two rectangles AEGD and EBCG. H is a point on AD and F is a point on BC. Find the area of EFGH.
2 m
Level 2 PSLE
Robert cut out three identical right-angled triangles. He joined them to form the figure PQRS shown. RS = 12 cm and SP = 10 cm. The perimeter of the figure is 36 cm. Find the area of the figure PQRS.
2 m
Level 2
Kim ran 30 minutes at the speed of 10 km/h. She then continued at the speed of 8 km/h for 45 minutes. How far did she run?
2 m
Level 2 PSLE
Rectangle ACEF is made up of two squares and two rectangles. AB = 2 cm and BC = 3 cm. What fraction of rectangle ACEF is shaded?
2 m
Level 2 PSLE
A parallelogram ABCD is drawn on a square grid.
  1. Using the line XY, identify point Z on the grid to draw triangle XYZ such that it has the same perimeter as ABCD and XY = YZ. Give your number in number. (Eg 1)
  2. Find the ratio of the area of XYZ to the area of ABCD.
2 m
The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.
2 m
Level 2
The figures F and G, are two identical isosceles triangles. Both figures contain a square of a different size. Given that the area of the square in Figure F is 252 cm2, find the area of the square in Figure G.
2 m
Level 3 PSLE
When Lance started cycling from his home, Kenneth was 120 m ahead. Lance's cycling speed was 5 m/s and Kenneth's cycling speed was 2 m/s. They went in the same direction and did not change their speeds throughout. What distance would Lance have cycled when he caught up with Kenneth?
2 m
Level 1
In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.
2 m
Level 1 PSLE
A unit shape in the form of a right-angled triangle is drawn in the grid. Cindy forms a rectangle by joining two unit shapes as shown. In addition to the rectangle, Cindy wants to form a trapezium. This figure is to be formed with the smallest number of unit shapes. How many triangles are required to construct the smallest trapezium?
1 m
Level 2 PSLE
AB and BC form two sides of a trapezium ABCD drawn on a square grid inside a box. By joining dots on the grid with straight lines, identify Point D to complete the trapezium ABCD such that AD is longer than BC.
2 m
Level 2 PSLE
Triangle BCD is drawn on a square grid inside a box. By joining dots on the grid with straight lines, identify the dot to draw a right-angled triangle BCE such that it has the same area as triangle BCD. Give your answer in number. (Eg 1)
2 m
Level 2 PSLE
R is one of the points inside the box. Identify point R by the number next to the dot to complete a triangle PQR so that PQ = PR. Give your answer in number. (Eg 1)
1 m
Level 1 PSLE
In the figure, LOP and MON are straight lines. ∠LPN = 55°, ∠PLM = 114° and ∠MNP = 90°. Find ∠LMN.
2 m
Level 2 PSLE
In the figure ABCD is a square, AB = BE and ∠BAE = 75°. Find ∠BCE.
2 m
Level 2
XYZ and OYZ are isosceles triangles. XY = XZ, OY = OZ, ∠XYO = 18° and ∠YOZ = 80°. Find ∠a.
2 m
Level 2
If ∠x is 120 °, find the sum of ∠u, ∠v, ∠w, ∠y,and ∠z.
2 m
Level 2
The figure shows 4 triangles. Find the sum of ∠m + ∠n + ∠h + ∠j + ∠k + ∠l.
2 m
Level 2
The perimeter of the triangle WXY is 30 cm. Given that YW = 13 cm, WX = 12 cm, RY = PY and PX = QX, find the radius of the circle.
2 m