Perimeter and area test questions

1

A square grid with an irregular shape highlighted in red

Calculate the exact area of the shape shown on a 1 cm square grid.

2

This diagram shows the outline of a pond.

A square grid with the outline of a pond highlighted in red

Given that every square represents 10 m2, estimate the area of the pond.

3

Right-angled triangle with a hypotenuse equal to 4.5 m. The short side is equal to 2 m, and the long side is equal to 4 m

A pigpen needs to be fenced. Fencing is sold in 1 m panels costing £3 each. How much will it cost to fence the enclosure?

4

There is a square sandpit in the park.

A square sandpit with sides equal to 3 m

A child runs three laps of the sandpit. How far has he run?

5

This is a rectangular table 35 inches by 70 inches.

A rectangular table with width equal to 35 inches and length equal to 70 inches

Varnish for the table is sold in tubes that cover 500 square inches. How many tubes of varnish are needed to paint the table?

6

Grass feed costs £2 per square metre. How much will it cost to feed the lawn shown, not including the triangle occupied by a water fountain?

A grass lawn in the shape of a parallelogram, with width equal to 3 m and height equal to 2 m. A triangle-shaped area inside the lawn has base equal to 2 m and height equal to 1 m

7

Ribbon is to be wrapped around the edge of the L-shaped present shown. What is the length of ribbon needed?

An L-shape with height equal to 70 cm and base width equal to 50 cm

8

What is the area of this shape?

A composite shape is divided into a rectangle with a trapezium on top. The base width is 3 m, the overall height is 4 m. The height of the trapezium is 1.5 m, and the width at the top is 1 m

9

This question is for Intermediate and Higher tiers

A grass lawn in the shape of a rectangle, with width equal to 4 m and height equal to 6 m. A triangle-shaped area inside the lawn has base equal to 2 m and height equal to 1 m

A garden measuring 5 m by 4 m has a semicircle pond at one end. What is the area of the grass? Give your answer to two decimal places.

10

This question is for Higher tier only

A quarter slice of birthday cake. The radius of the cake equals 15 cm

One quarter of a cake has been left over from a birthday party. What is the perimeter of the remaining piece?