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.
Non-calculator
Algebra worksheet — GCSE Foundation
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- 1.Which expression is equivalent to 4(x − 2) + 10?
- 2.The formula for the circumference of a circle is C = 2πr, where r is the radius. Make r the subject of the formula.
- 3.Make x the subject of the formula y = 5x + 3.y = 5x + 3
- 4.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 5.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 6.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 7.Solve 2x² − 32 = 0.
- 8.Write down the expression that means the same as m × m × m × n.
- 9.n = 3. Work out the value of (2n)².
- 10.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.
- 11.Write down the expression that means the same as m² × m × 3.
- 12.Work out the distance of the point (−6, 4) from the x-axis.
- 13.There are 50 adults on a coach to the Lake District. Every adult is either a man or a woman. There are 10 more men than women. Work out the number of men.
- 14.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 15.A straight line has gradient −2 and passes through the point (3, 1). Work out the equation of the line.
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