Algebraic notation worksheet — GCSE Foundation

1.A rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.

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

3.Write down 0.2x with its coefficient written as a fraction in its simplest form.

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

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

6.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.

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

8.Which expression means 'add 3 to n, then multiply the result by 4'?

9.Simplify p + p + p.

10.a = 3 and b = 5. Work out the value of a²b.

11.Write down the expression that means the same as m × m × m × n.

12.p = 4. Work out the value of 2p³.

13.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.

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

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