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End-of-unit review

End-of-unit review

For each question in this exercise show all your working
and check your answers.

1 Dave wants to put a row of tiles in his kitchen.
The row has to be 3 m long.
Each tile is a square, with 25 cm sides.
How many tiles does he need?
Tile sale!

2 Caroline is tiling her bathroom floor. Usual price $15 per pack.
Each tile is a square, with 25 cm sides. 10 tiles per pack

The bathroom floor is in the shape of a rectangle, 4.5 m by 2 m. Buy more than 10 packs
a How many packs of tiles does Caroline need? and get 20% off the
b What is the total amount that Caroline pays for the tiles? total price!
3 A long-distance runner travels a distance of 108 km in 8 hours.
What is his average speed?
4 Umi walked 8 km in 45 minutes. She rested for 15 minutes then walked a further 6 km in
30 minutes.
Work out her average speed for the whole journey.
Give your answer correct to one decimal place.
5 The legal maximum speed on UK motorways is 70 miles per hour. Remember that 1 mile
Work out the legal maximum speed on UK motorways in metres is about 1.6 km.
per second (m/s).
Give your answer to the nearest whole number.

6 Cyclist A travels 55 km in 2 hours and 20 minutes.
Cyclist B travels 135 km in 5 hours and 36 minutes.
Which cyclist is travelling faster?

7 Fiona ran to raise money for charity.
The travel graph shows her journey.
She stopped once for a break. 50
a Work out Fiona’s average speed for: 40

i the first part of the journey before she
took a break Distance (km) 30
ii the second part of the journey after she 20
took a break.
Give your answers to the nearest whole number. 10
b During which part of the journey was Fiona
0
travelling fastest? 0 1 2 3 4 5 6
c Work out Fiona’s average speed for the whole Time (hours)
journey, including the break.

40 4 Length, mass, capacity and time