21 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
22 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
23 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
24 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
25 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
26 P5.AN.JM.17083253
Level 2
The figure shows a right-angled triangle and an isosceles triangle. Find ∠p.
2 m
Right angle Isosceles triangle Right-angled triangle Sum of angles in a quadrilateral
27 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
28 P5.AP.NK.23022716
TRY FOR FREE
Level 3
Peter had a square piece of paper. He cut it along the dotted lines as shown in Figure 1 to get one small square of side 2 cm and four identical right-angled triangles. One such triangle is shown in Figure 2. Find the perimeter of the square piece of paper in Figure 1 before it was cut.
3 m
Attempt
Square Square & square root Right-angled triangle
29 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
30 P5.AP.JM.17083142
Level 2
Each of the figure is made up of four identical right-angled triangles. The shortest side of each triangle is 5 cm. The perimeter of each triangle is 21 cm. Find the perimeter of
  1. Figure 1
  2. Figure 2
3 m
Right-angled triangle
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
Isosceles triangle Right-angled triangle Semicircle Composite figure area Cut & paste
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
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
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
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
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
  1. ∠DAC
  2. ∠ADB
4 m
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
Rectangle Right-angled triangle Finding ratio R Simplest form
38 P6.AP.NK.21060427
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. 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
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)
4 m
Square Square & square root Right-angled triangle Circumference Circle area Composite figure area
40 P5.AP.JM.17083194
Level 3
4 identical right-angled triangles are used to form a square as shown.
  1. What is the area of square ABCD?
  2. What is the length of Square ABCD?
4 m
Square Right-angled triangle Composite figure area

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