SELF-ASSESSMENT

1 Write as words.

a) 1.07 b) 0.0023 c) 0.000234 a) Eighteen hundredths. b) Thirteen hundred thousandths. c) Two hundred and thirty-five millionths. a) 5.052 b) 0.55555 c) 0.7481

2 Write in figures.

3 Round off to the nearest hundredths.

4 Calculate. a) 0.25 · 11.48 b) 23 : 4.5 c) 0.08 : 1.6 d) 10.2 : 0.034 a) 1.4 – 1.8 · 0.2 – 0.4 : 1.6 b) 2.024 – 0.3 · (7.1 – 4.02) c) 0.5 – 2.7 : [1.2 – 0.1 · (0.25 – 1.75)]

5 Calculate.

6 Express in decimal form.

12 15 anayaeducacion.es Solutions to these problems.

7 Express each decimal with an irreducible fraction.

8 Simplify.

9 Reduce these fractions to a common denominator.

12 You have spent €5.61 on a piece of cheese which is on sale for €12.75/kg. How much does the piece of cheese you bought weigh?

13 A van makes a 76 km journey along a motorway travelling at a constant speed of 95 km/h. How long does the journey take?

14 A cyclist has covered 39 km of a timed race in one hour and 19 minutes.

What was her average speed in km/h?

15 A wholesaler buys 12 400 litres of cooking oil at €1.60 /litre to be bottled in 0.75 l bottles for a supermarket chain. She does not bottle the last tenth to avoid the sediment.

How much profit will she make if she receives €2.10 for each bottle, sells the remainder to a soap factory at €0.45 /litre and estimates the storage costs to total €2 350?

LEARNING

10 A car makes a round trip. On the way there, it uses 13/15 of the total capacity of the fuel tank. Before setting off again, it fills up with petrol, and it uses 17/20 of the tank on the journey home. In which of the two journeys has more fuel been used?

11 You get the following result when you use a calculator to find the square root of 7. 7 → {∫∫∫∫∫“Ÿ\¢∞|∞‘«} a) 7 = 3 b) 7 = 2.6 c) 7 = 2.646

What can you say about the following rounding errors?

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