236 P6.AN.NK.17052105
Level 2
The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.
  1. Express ∠f as a sum of two angles. Give the answers in equation. (Eg ∠a + ∠b)
  2. lf ∠e = 32°, find ∠f.
2 m
Angles sum of triangle in a star Exterior angle of a triangle
237 P5.AP.JM.17083208
Level 2
The figure is made up of 2 triangles, ABC and ACD. The length of AD is thrice as much as the length of BC. AB is perpendicular to AD and BC. Find the area of figure ABCD.
2 m
Triangle Composite figure area Times as many
238 P5.AP.JM.17083187
Level 2
The figure consists of squares of side 4 cm. Find the area of the shaded parts.
2 m
Square Triangle Composite figure area
239 P6.PA.JC.17111305
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
  1. Find the total number of triangles in Pattern 80.
  2. Find the number of shaded triangles in Pattern 40.
  3. Find the number of unshaded triangles in Pattern 50.
3 m
Repeated patterns Square numbers
240 P5.AP.NK.23022714
Level 3
In the figure, ABCD and PRSD are two identical rectangles. Find the shaded area of the figure.
2 m
Rectangle Triangle Composite figure area

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