Algebraic notation worksheet — GCSE Foundation

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

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

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

4.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.

5.Write down the expression that means the same as m² × m × 3.

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

7.A packet contains s sweets. The sweets are shared equally between f friends. Write an expression for the number of sweets each friend receives.

8.p = 4. Work out the value of 2p³.

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

10.a = 2 and b = 5. Work out the value of a²b.

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

12.n = 3. Work out the value of (2n)².

13.Write down the expression that means the same as (x + 7) ÷ 4.

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

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.