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Exercises on calculating the perimeters of various shapes, including rectangles, hexagons, and triangles. Students are asked to measure the sides and use the formula to find the perimeter. Some exercises involve comparing the perimeters of different shapes and identifying which one has the longest perimeter.
Typology: Schemes and Mind Maps
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1 Work out the perimeter of each shape. a)
perimeter = cm b)
perimeter = mm c)
perimeter = m
2 Rosie and Eva work out the perimeter of the shape below.
Who is correct? How do you know?
3 Tick the shapes with a perimeter of 16 cm.
5 cm
5 cm
3 cm 3 cm
8 cm 2 cm 40 mm
40 mm
20 mm
6 cm
4 cm
3 m
10 cm
6 cm
6 cm 2 cm
b)
perimeter = What do you notice?
6 This^ rectangle^ has^ a^ perimeter^ of^18 cm.
perimeter = 18 cm
4 Which shape has the longest perimeter? Tick your answer.
Show all your workings.
5 Work out the perimeter of these shapes.
a)
perimeter = © White Rose Maths 2019
4 cm
4 cm
3 cm 3 cm
20 mm 20 mm
20 mm 20 mm
20 mm
6 cm 6 cm
2 cm
8 cm
3 cm
5 cm
7 cm
2 cm
9 cm
70 mm
80 mm
20 mm 10 mm
30 mm
50 mm
30 mm
50 mm
2 cm
6 cm
6 Aisha is working out the perimeter of a rectangle. She measures the length of all 4 sides and labels the rectangle.
How do you know that Aisha’s measurements are wrong?
7 Is it possible to work out the perimeter of each shape? Circle your answer. a) yes no
b) yes no
c) yes no
How do you know whether you can or cannot find the perimeter of each shape? Talk about it with a partner.
4 Measure the perimeter of each shape.
a)
perimeter =
b)
perimeter =
5 Draw a triangle with a perimeter of 15 cm.
50 cm
15 cm
20 cm 20 cm
60 mm
25 mm
8 cm
60 mm 25 mm
1 Complete^ the^ sentences^ to^ describe^ the^ lengths^ of the objects. a)
The toy car is mm long. b)
The toy boat is cm long.
c) The toy boat is cm longer than the toy car. The toy car is mm shorter than the toy boat.
2 Jack’s rope is 4 m 50 cm long. He uses 2 m to make a swing. How long is his rope now?
Jack’s rope is now m and cm long.
3 Tommy,^ Rosie^ and^ Annie^ each^ measure^ their^ height.
a) What is the difference in height between Tommy and Rosie?
b) Annie is 30 mm shorter than Rosie. What is Annie’s height?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
4 m 50 cm
? 2 m cut
Rosie 135 cm
Tommy 1 m 15 cm
Annie
1 Scott builds a bridge using planks.
a) What is the total length of his bridge? cm
b) What is the height of his bridge? cm
2 Complete the additions. a) 25 cm + 75 cm = m b) 10 cm + 50 mm = cm c) 1 m 20 cm + cm = 2 m d) 52 mm + mm = 6 cm
3 Brett is 115 cm tall. His brother is 20 cm taller. How tall is Brett’s brother? Write your answer in metres and centimetres.
m and cm
4 Dora builds a tower that measures 1 m and 5 cm. Annie builds a tower that measures 80 cm. Dexter builds a tower that measures 95 cm. They put their towers together to make one high tower. How tall is their new tower?
The new tower is cm tall.
This is the same as m and cm.
120 cm 75 cm
25 cm
10 cm
6 Jack, Tommy and Alex took part in a hop, skip and jump competition. Their distances are shown in the table below. Complete the table to show the total distance each child travelled. Name Hop Skip Jump Total Jack 80 cm 60 cm 1 m 20 cm Tommy 70 cm 1 m 1 m 10 cm Alex 75 cm 75 cm 1 m
7 Esther builds a tower using some bricks. Her tower is 24 cm tall. Which bricks could she have used?
How many different answers can you find?
5 Red bricks are 50 mm long. Blue bricks are 80 mm long.
a) Whitney and Eva make patterns using the bricks. How long is each pattern? Give your answers in centimetres.
Whitney’s pattern is cm long. Eva’s pattern is cm long. b) Draw some red and blue bricks to make a pattern that would be exactly 36 cm long.
50 mm 80 mm
Whitney Eva
120 mm
40 mm
8 cm
6 cm
