Questions

From Worst to Best

31 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

Attempt

32 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

Video Attempt

Right-angled triangle Circle area Semicircle Composite figure area Overlapping area

33 P5.AP.JM.17083107

Level 3
ABC is a right-angled triangle. 4 such identical triangles are used to form the Square WXYZ. Find the length of each side of the big Square WXYZ.

3 m

Attempt

Square Square & square root Right-angled triangle

34 P5.AP.JM.17083200

Level 3
The figure shows two identical right-angled triangles overlapping each other. Find the area of the shaded part.

3 m

Attempt

Right-angled triangle Overlapping area

35 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

Square Right-angled triangle Composite figure perimeter Composite figure area Guess & check

36 P5.AN.JM.17083118

Level 3
In the diagram shown, ABC is a right-angled triangle and AB = BC = AD. Find

∠DAC
∠ADB

4 m

Video Attempt

Isosceles triangle Right-angled triangle Angles sum of triangle

37 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

38 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

39 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)