Algebra worksheet — GCSE Foundation

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

2.A pattern is made from tiles. Pattern 1 uses 4 tiles, pattern 2 uses 7 tiles, pattern 3 uses 10 tiles and pattern 4 uses 13 tiles, with each pattern using 3 more tiles than the one before. Work out an expression, in terms of n, for the number of tiles used in pattern n.

3.Write down the gradient of the line with equation y = 7x − 2.

4.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.

5.A sequence has the position-to-term rule: the term is the square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.

6.Work out the gradient of the straight line with equation 3y = 12 − 6x.

7.Solve the inequality 6x ≥ 18.

8.Which of these statements is an identity?

9.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.

10.Make p the subject of the formula n = p/3.

11.A number machine multiplies its input by 5. Work out the output when the input is −1.

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

13.A graph has equation y = −2x² + 5. Which statement about its shape is correct?

14.A geometric sequence starts at 4, and each term after that is found by multiplying the term before it by 3. Write down the first four terms of the sequence.

15.The point A is at (5, −3). In which quadrant does A lie?