Algebra worksheet — GCSE Foundation

1.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.

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

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

4.Make m the subject of the formula w = m − 8.

5.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.

6.Which of these is an identity?

7.Two numbers have a sum of 24. Their difference is 6. Work out the two numbers.

8.A theatre has rows of seats arranged so that row 1 has 12 seats, row 2 has 17 seats, row 3 has 22 seats and row 4 has 27 seats, with each row having 5 more seats than the row before. Work out an expression, in terms of n, for the number of seats in row n.

9.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.

10.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.

11.The formula for converting a distance in miles, m, to kilometres, k, is k = 8m ÷ 5. Work out k when m = 10.

12.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?

13.Solve the inequality 4x + 1 > 2x + 9.

14.In which quadrant does the point (−3, 0.5) lie?

15.Work out the value of (x − 4)/2 + 3 when x = 10