Approximate measurements - Intermediate & Higher tier test questions

1

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

2

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

3

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

4

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

5

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.

A 12 m x 6 m rectangle

6

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?

An 'L' shape with measurements of 12 m x 6 m x 12 m x 6 m and points marked A and B

7

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?

8

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?

Square picture frame

9

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.

10

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.