BECE - Basic Education Certificate Examination Geometric Shapes and Mensuration Questions and Answers

Question 1

A piece of farmland is in the shape of a trapezium. Its parallel sides are 15 m and 25 m long. If the perpendicular distance between the parallel sides is 10 m, what is the area of the farmland?

Accepted Answer

200 m²

Answer

400 m²

Answer

150 m²

Answer

375 m²

Question 2

A cylindrical water tank has a radius of 7 metres and a height of 5 metres. Calculate the maximum volume of water the tank can hold. (Take π = 22/7)

Accepted Answer

770 m³

Answer

220 m³

Answer

1540 m³

Answer

385 m³

Question 3

The circumference of a circular running track is 440 metres. What is the area of the field enclosed by the track? (Take π = 22/7)

Accepted Answer

15,400 m²

Answer

7,700 m²

Answer

1,540 m²

Answer

30,800 m²

Question 4

A 13-metre-long ladder is placed against a vertical wall. The foot of the ladder is 5 metres away from the base of the wall. How high up the wall does the ladder reach?

Accepted Answer

12 m

Answer

18 m

Answer

8 m

Answer

14 m

Question 5

Which of the following statements correctly describes the properties of a cuboid?

Accepted Answer

It has 8 vertices, 12 edges, and 6 faces.

Answer

It has 6 vertices, 8 edges, and 6 faces.

Answer

It has 12 vertices, 6 edges, and 8 faces.

Answer

It has 8 vertices, 8 edges, and 6 faces.

Question 6

A sugar cube has an edge length of 2 cm. What is the total surface area of the cube?

Accepted Answer

24 cm²

Answer

16 cm²

Answer

8 cm³

Answer

12 cm²

A piece of farmland is in the shape of a trapezium.Its parallel sides are 15 m and 25 m long.If the perpendicular distance between the parallel sides is 10 m, what is the area of the farmland?

A piece of farmland is in the shape of a trapezium.
Its parallel sides are 15 m and 25 m long.
If the perpendicular distance between the parallel sides is 10 m, what is the area of the farmland?