1 P6.GE.NK.21060715
Level 1 PSLE
A, B, C, D are points on a square grid. Which point when joined to E and F forms a right-angled triangle?
1 m
Grid square Right-angled triangle
2 P6.GE.NK.21060717
Level 1 PSLE
CB forms one side of the right-angled triangle. Which point when joined to C and B will form the right-angled triangle?
1 m
Grid square Right-angled triangle Parallelogram
3 P6.GE.JC.23030119
The square grid shows line AB. It is one side of a triangle ABC with ∠ACB = 90°. Identify point C in the grid square.
1 m
Square grid Right-angled triangle
4 P6.AP.TL.17090703
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
Right-angled triangle Composite figure area
5 P6.AP.TL.17090767
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
Square Isosceles triangle Right-angled triangle Cut & paste
6 P6.GE.NK.21060722
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
Grid square Right-angled triangle Parallelogram Rhombus Trapezium Min-max More than or less than
7 P6.GE.NK.21060721
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
Grid dots Right-angled triangle Trapezium Area perimeter More than or less than Equal stage
8 P6.GE.NK.21060728
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
Grid dots Right-angled triangle Trapezium Area perimeter More than or less than Equal stage
9 P6.AP.TL.17090744
Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
2 m
Length Square Square & square root Right-angled triangle Composite figure area
10 P6.AP.TL.17090713
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
Length Rectangle Right-angled triangle Composite figure area
11 P6.AP.TL.17090714
Level 2 PSLE
In the figure, MN = 7 cm, NO = 9 cm, OP = 3 cm and PM = 11 cm. ∠MNO and ∠OPM are right angles. Find the area of the figure MNOP.
2 m
Right-angled triangle Composite figure area
12 P6.AP.TL.17090750
Level 2
The shaded figure is made up of 4 quarter arcs of radius 12 cm. Find its area. (Take π = 3.14)
2 m
Right-angled triangle Circle area Quarter circle Composite figure area
13 P6.AP.TL.17090757
Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = 227)
2 m
Isosceles triangle Right-angled triangle Circle Semicircle Composite figure area Cut & paste
14 P6.AP.NK.21060432
Level 3 PSLE
In the figure, ABC and XZY are identical right-angled triangles. The total area of the shaded parts is 96 cm2. Find the area of the unshaded part.
2 m
Right-angled triangle Composite figure area Overlapping area
15 P6.AP.JC.22050403
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
Length Isosceles triangle Right-angled triangle Overlapping area
16 P6.AP.TL.17090785
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
2 m
Rectangle Right-angled triangle Overlapping area
17 P6.AN.NK.17051717
Level 3
In the figure, ABE and DBC are right-angled triangles. EB is parallel to DC. Find
  1. ∠BCD
  2. ∠BED
3 m
Right-angled triangle Angles sum of triangle Angles at a point Alternate angles
18 P6.AP.JC.22051401
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Equilateral triangle Isosceles triangle Right-angled triangle Grid dots Equal stage Finding ratio
19 P6.AP.TL.17090805
Level 3
The figure is made up of a right-angled isosceles triangle XYZ and a semicircle. XY = YZ and the diameter of the semicircle is 28 cm. Find the area of the shaded part of the figure.
3 m
Isosceles triangle Right-angled triangle Semicircle Composite figure area Cut & paste
20 P6.AP.TL.17090811
Level 3
In the figure, not drawn to scale, XYZ is a right-angled triangle. XY is 12 cm, YZ is 16 cm. Find the area of the shaded parts. (Take π = 3.14 )
3 m
Right-angled triangle Circle area Semicircle Composite figure area Overlapping area

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