Algebra worksheet — GCSE Foundation

1.The first five cube numbers are 1, 8, 27, 64, 125. Write down the next cube number in the sequence.

2.A recipe gives the cooking time, in minutes, for a chicken as T = 40m + 20, where m is the mass in kg. A chicken has a mass of 1.8 kg. Work out the cooking time in hours and minutes.

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

4.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.

5.y = 5x − 1. Work out the value of y when x = 3.

6.A ball is dropped and bounces. The height of each bounce after the first is 8 cm less than the bounce before it. The first bounce reaches 60 cm. Work out the height of the 5th bounce.

7.Make a the subject of the formula b = 20 − a.

8.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.

9.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.

10.Solve 2x + 1 = 9

11.Which of these equations describes a vertical line?

12.Matchsticks are laid out as a row of squares, with each new square sharing a side with the square before it. The first square uses 4 matchsticks and every extra square uses 3 more. Work out how many matchsticks a row of 4 squares uses.

13.Solve (3x + 2)/5 = (x + 4)/3

14.A table shows values of y = x² − x − 6 for x from −3 to 4: at x = −3, y = 6; x = −2, y = 0; x = −1, y = −4; x = 0, y = −6; x = 1, y = −6; x = 2, y = −4; x = 3, y = 0; x = 4, y = 6. Using the table, write down the two roots of x² − x − 6 = 0.

15.A straight line has gradient −2 and passes through the point (3, 1). Work out the equation of the line.