Questions

From Worst to Best

41 P5.AP.JM.17083177

Level 3
The figure is made up a rectangle and a square.

Find the perimeter of the figure.
Find the area of the figure.

3 m

Attempt

42 P5.AP.NK.23041222

Level 3
Figure ABCDE has an area of 36 cm². ADE and CDE are triangles.

Find the area of the triangle ADE.
Find the area of the shaded part.

3 m

Attempt

Triangle Composite figure area Overlapping area

43 P5.AP.JM.17083139

Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is ¹₂ of EF. CD is ²₃ of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.

3 m

Attempt

Triangle Composite figure area Overlapping area Fraction to units Repeated identity Units method

44 P5.AP.JM.17083243

Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is ³₇ of the area of the circle. Given that ¹₃ of the circle is shaded and the area of the shaded part is 42 cm², what is the difference between the area of the circle and the area of the four-sided figure?

3 m

Attempt

Composite figure area Overlapping area Fraction to units Units method

45 P5.AP.JM.17083102

Level 3
The figure is made up of 2 overlapping squares. The area of the shaded part is 20 cm². The length of the bigger square is 6 cm. Find the length of the smaller square.

3 m

Attempt

Square Rectilinear figure Square & square root Composite figure area Overlapping area

46 P5.AP.JM.17083246

Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m², what is the area of the whole figure?

3 m

Attempt

Square Rectangle Rectilinear figure Composite figure area Overlapping area Ratio to units Units method

47 P5.AP.JM.17083116

Level 2
The figure is made up of identical rectangles. Find the area of the shaded rectangle.

3 m

Attempt

Rectangle Rectilinear figure Tiling Composite figure area Units method

48 P5.AP.JM.17083201

Level 3
The figure is made up of 6 similar rectangles of length 20 cm. Find the area of the shaded parts.

3 m

Attempt

Rectangle Rectilinear area Triangle Composite figure area Units method

49 P5.AP.JM.17083237

Level 3
The figure shows a star formed by 5 identical isosceles triangles and a regular Pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, Length OS = 11 cm and KC = CE = EG = GI = IK = 12 cm, Find the area of the star.