Printable · GCSE Foundation · ages 14-16
Algebra worksheet — GCSE Foundation
Fifteen questions across the algebra statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Foundation
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- 1.Work out the value of (x − 4)/2 + 3 when x = 10
- 2.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 3.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 4.y = 5x − 1. Work out the value of y when x = 3.y = 5x − 1
- 5.Which expression means 'add 3 to n, then multiply the result by 4'?
- 6.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 7.Mia buys 3 identical notebooks and a pen costing £1.50. She pays a total of £9.90. Form an equation using n for the cost of one notebook, and solve it to find n.
- 8.A caterer uses the formula C = 6p + 20 to work out the total cost, £C, of a buffet for p people, where £20 covers fixed costs. A customer is charged £92. Work out how many people, p, the buffet was for.
- 9.A taxi charges a £3 fixed fee plus £2 for each mile travelled. Write an expression, in pounds, for the total cost of a journey of n miles.
- 10.Which of these values of x is a solution of x² + 2x − 15 = 0?
- 11.A number machine adds 5 to its input. Work out the output when the input is 0.
- 12.Solve 2(x + 3) = 10
- 13.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.
- 14.Work out the value of 5y + 9 when y = 0
- 15.Work out the gradient of the straight line with equation y = (2x/5) − 3.
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