Algebraic notation worksheet — GCSE Foundation

1.Write down the expression that means 5 more than half of n.

2.A ribbon of length L metres is cut into 5 equal pieces, and then 3 metres is removed from one piece. Write down an expression, in metres, for the length of that piece after 3 metres is removed.

3.Write down the expression that means the same as 3 × y × y.

4.Write down the expression that means the same as p + p + p + q.

5.A rectangular field has length (3a + 2) metres and width (a − 1) metres. Write a simplified expression for the perimeter of the field.

6.Tom buys 2 notebooks and 6 pencils on Monday, priced at p pence each for a notebook and q pence each for a pencil. On Tuesday he buys 3 more notebooks and 1 more pencil. Write a simplified expression, in pence, for the total amount Tom has spent on notebooks and pencils.

7.a = 2 and b = 5. Work out the value of ab².

8.Which expression means 'y squared, multiplied by 3'?

9.x = 5. Work out the value of 3x² − 4.

10.p = 4. Work out the value of 2p³.

11.Which expression means the same as 3 × a × b?

12.Which expression means 'triple c, then add double d'?

13.Write down the expression that means the same as w ÷ 6.

14.Write down the expression that means the same as 'subtract 5 from n, then divide the result by 2'.

15.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.