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.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 2.Which expression is equivalent to 4(x − 2) + 10?
- 3.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 4.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 5.In a shop a shirt costs £x and a pair of trousers costs £(2x + 30). Together the two items cost at least £150. Work out the lowest possible price of the shirt.
- 6.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 7.Solve the simultaneous equations 2x + y = 7 and x + 2y = 8.
- 8.A square tile has an area of 144 cm². Work out the side length of the tile.
- 9.A straight line passes through the points (1, 3) and (2, 5). Work out the equation of the line.
- 10.A curve has equation y = x³ − 4x. Work out the coordinates of the point where the curve crosses the y-axis.y = x
- 11.A candle is 30 cm tall and burns down at a steady rate of 1 cm per hour. Write down the function for the height of the candle y, in centimetres, after x hours.
- 12.How many turning points does the graph of y = x² − 7x + 10 have?y = x² − 7x + 10
- 13.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 14.Two numbers have a sum of 24. Their difference is 6. Work out the two numbers.
- 15.Priya says that x = 6 is the solution of the equation 4x + 8 = 24. Priya is wrong. Work out the correct value of x.
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