1. Calculate the exact value of
i) 4 - 1.67
ii) 0.4 x 3.5
2. (a) Express 486mm in cm, giving your answer correct to the nearest cm.
(b) Express 5.126 correct to two significant figures.
3. (a) Calculate the total time required for 5 journeys each of 1 hour 34 minutes.
(b) (i) A marathon race started at 11.55 and one of he runners reached the finish at 15.37. Calculate the time
taken by this runner.
(ii) Another runner took 25min for the first 8km. If he continued to run at the same steady speed, calculate
the time taken for the next 12km.
4. Solve the simultaneous equations:
3x - 4y = 25
4x - 5y = 32
4x - 5y = 32
x =
y =
5. All of the pupils in a class have four choices in their study of languages.
They may study French only, or French and German, or French and Latin, or all three of these languages.
Draw a clearly labelled Venn diagram to illustrate this information.
6. (a) A rectangular courtyard 17m long by 9¼m wide is to be covered by square paving slabs each of side ½m.
Calculate the number of paving slabs which will be required.
(b) A different area to be paved needs 390 slabs. Given that one-third of these cost £1.20 each and the
remainder cost £1.40 each, calculate the total cost of the slabs.
7. i) On a packet of lettuce seeds it is stated that 85% should produce seedlings. Find the number of seedlings
which would be expected from a packet containing 800 seeds.
ii) (a) A market gardener sows 25000 tomato seeds. Given that 21500 produce seedlings, calculate the
percentage which did not produce seedlings.
(b) In one season he sold 130 tonnes of tomatoes, which was 4% more than he had expected. Calculate
the number of tonnes he had expected to sell.
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