Questions

From Worst to Best

21 P6.AP.TL.17090815

Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm². Find the total area of the two shaded right-angled triangles.

3 m

Attempt

22 P6.AP.NK.21060410

Level 3 PSLE
In the figure, ABCD is a rectangle and AED is a right-angled triangle with sides measuring 30 cm, 40 cm and 50 cm. The perimeter of the shaded part is 176 cm. What is the ratio of the area of the triangle to the area of the shaded part? Give your answer in the simplest form.

4 m

Attempt

Rectangle Right-angled triangle Finding ratio R Simplest form

23 P6.AP.NK.21060427

Level 3 PSLE
The figure shows a right-angled triangle.

Find the area of the triangle.
Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?

4 m

Attempt

Rectangle Right-angled triangle Tiling Min-max

24 P6.AP.TL.17090820

Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)

4 m

Attempt

Square Square & square root Right-angled triangle Circumference Circle area Composite figure area

25 P6.AP.TL.17090841

Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)