Language, notation and formulas

6.5 Solutions to ‘making a lawn’

Learning from the marking of the previous questions, write out a good solution to the following problem.

Example 18: Making a lawn

Suppose you have some friends who are planning to put a new lawn in their garden. The lawn is to be 12 m by 14 m and they have a choice of either laying turf or sowing grass seed. You have been asked to help them decide between the two.

(a) Write down the area of the lawn. [3]

(b) The turf they can lay is sold in pieces, each of which is a square of grass measuring ½ m by ½ m. How many pieces of turf are needed to cover the lawn? [4]

(c) If a piece of turf costs 50p, write down how much it will cost to turf the lawn. [3]

(d) Grass seed is sold in boxes. Each box contains enough seed for 10 m², and costs £5.15. Find the cost of sowing seed. [5]

(e) Which method is cheaper? Why might your friends choose the more expensive method? [3]

Now look at the sample solutions and mark them as if you were the tutor. Finally, use the tutor's comments to assess your own solution and comments.

Sample Solution A to Example 18

Click on ‘Reveal answer’ to see the tutor's marking.

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(a) Write down the area of the lawn.	[3]
(b) The turf they can lay is sold in pieces, each of which is a square of grass measuring ½ m by ½ m. How many pieces of turf are needed to cover the lawn?	[4]
(c) If a piece of turf costs 50p, write down how much it will cost to turf the lawn.	[3]
(d) Grass seed is sold in boxes. Each box contains enough seed for 10 m², and costs £5.15. Find the cost of sowing seed.	[5]
(e) Which method is cheaper? Why might your friends choose the more expensive method?	[3]