Two-dimensional shapes test questions

1

Find the area of the following shape by counting squares on the cm² paper provided?

Area of a compound shape diagram

9 cm²

12 cm²

18 cm²

2

What is the area of the following compound shape?

Area of a compound shape diagram

64 cm²

80 cm²

96 cm²

3

What is the area of this compound shape?

Shape with dimensions; 3cm x 4cm x xcm x ycm x 15cm x 11cm

117 cm²

52 cm²

165 cm²

4

What is the area of the following compound shape?

Shape area diagram

20 cm²

24 cm²

28 cm²

5

What is the area of the following parallelogram?

Parallelogram area diagram

15 cm²

27 cm²

54 cm²

6

If you were asked to find the area of this composite shape (including the length of each side) – which would be the best way to split it to find the total area?

An irregular octagon.

An irregular octagon. Two straight, dotted lines divide the shape into three rectangles.

An irregular octagon. One straight, dotted line divides the shape into two rectangles.

An irregular octagon. One straight, dotted line divides the shape into one rectangle and one irregular hexagon.

7

What is the area of this composite shape?

An irregular octagon. Divided into two rectangles, its sides measure 6cm, 4cm, 8cm and 3cm.

48 cm²

576 cm²

108 cm²

8

What is a recognised method/formula for calculating the area of a triangle?

Multiply all three sides

Multiply all three sides then divide by two

\({1}{2}\)base x height

9

Find the area of this composite shape:

A trapezium. It has two internal right angles and its sides measure 6cm, 4cm, 9cm and 5cm.

30 cm²

42 cm²

34 cm²

10

Below is a drawing that a farmer has made of one side of his shed. He wants to paint it so needs to know how much he will need. What is the side's area?

The side of a shed drawn as a pentagon. Its base measures 20cm, its height from base to top of roof 12cm, the height of its two walls are both 7cm and the length of each side of the roof is 11.8cm.

260 m²

241.8 m²

190 m²