Measurement is essential for many trades and careers. An understanding of the fact that all measurements are approximate may prevent you from making any mistakes.

What is the upper bound of 5 m when it is measured to the nearest m?

4.5 m

5.5 m

6 m

What is the lower bound of 5 m when it is measured to the nearest m?

4 m

Find the upper and lower bound of 2,300 if corrected to the nearest 100.

2,350 and 2,250

2,300 and 2,200

50

Find the upper and lower bound of 12.3 cm if corrected to the nearest mm.

12.25 cm and 12.35 cm

12.2 cm and 12.4 cm

11.8 cm and 12.8 cm

Landscape designers have been employed by the council to lay a path around this car park but they need to know the distance around the car park. Calculate the greatest possible value for the perimeter if all the measurements are to the nearest m.

34 m

36 m

38 m

The designers of another car park need to calculate how many car parking spaces could fit along AB. If the measurements are to the nearest metre, what is the minimum distance AB could be?

6 m (12 m – 6 m)

5 m (11.5 m – 6.5 m)

7 m (12.5 m – 5.5 m)

A cuboid has a length of 5 cm, a width of 7 cm and a height of 10 cm, all correct to the nearest cm. What is the maximum volume of this cuboid?

433.125 cm^{3}

277.875 cm^{3}

350 cm^{3}

Sian is decorating a picture frame as shown in the sketch. The larger tiles measure 5 cm to the nearest mm and the smaller tiles are 3cm to the nearest mm. What is the longest possible length for the side of the frame?

16.2 cm

18 cm

15.8 cm

A builder’s merchant sells bags of 20 kg chippings, correct to the nearest kg. A builder wants a tonne of chippings. How many bags must he order to ensure he has the correct amount? 1 tonne = 1000 kg.

49 bags

52 bags

51 bags

A sprinter runs 100 m, to the nearest m, in 10.5 s, to the nearest tenth of a second. Find the largest possible speed of the sprinter.

9.61722488 m/s

9.431279621 m/s

9.523809524 m/s