Bounds

1. The length of a fence is 137 metres, correct to the nearest metre. Choose the upper and lower bound for the length of the fence.

• 136.5 m

• 141m

• 137.5m

• 132m

Zoe’s weight is 62 kg, correct to the nearest kilogram. Anu’s weight is 85 kg, correct to the nearest kilogram.

(a) Write down the upper bound for the weight of Zoe.

(b) Write down the lower bound for the weight of Anu.

• a) 61.5 kg

• a) 62.5 kg

• b) 84.5 kg

• b) 85.5 kg

Zoe’s weight is 62 kg, correct to the nearest kilogram. Anu’s weight is 85 kg, correct to the nearest kilogram.

Work out the upper bound for the difference between Zoe’s weight and Anu’s weight.

• 20 kg

• 23 kg

• 22 kg

• 24 kg

y = 1.8 correct to 1 decimal place.

Calculate the lower bound for the value of 4y + 1.

• 10.2

• 6.2

• 8

Write down the upper bound for the length of AB & BC

• AB = 19.5

• AB = 15

• BC = 8.25

• BC= 8.35

Calculate the lower bound of the area of the triangle.

Glass A contains 122 millilitres of water, correct to the nearest millilitre. Glass B contains 168 millilitres of water, correct to the nearest millilitre.

Calculate the upper bound of the difference, in millilitres, between the volume of water in glass A and the volume of water in glass B.

• 46

• 47

An athlete runs 400 metres, correct to the nearest metre. The athlete takes 50.2 seconds, correct to the nearest 0.1 of a second.

Work out the upper bound of the athlete’s average speed.

Give your answer correct to 3 significant figures

Some cases have to be lifted by the crane. Each case has a mass of 68 kg , correct to 2 significant figures.

Write down the upper bound of the mass of a case.

Some cases have to be lifted by the crane. Each case has a mass of 68 kg , correct to 2 significant figures.

A crane can lift safely a load of 1200 kg, correct to 2 significant figures.

Find the greatest number of cases that the crane can lift safely in one load.