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.
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Algebra worksheet — GCSE Foundation
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- 1.Solve the inequality 3x − 1 ≤ 11.
- 2.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.
- 3.To rearrange the formula y = 3x − 8 to make x the subject, Priya writes: 'Add 8 to both sides to get y + 8 = 3x, then divide both sides by 3 to get x = y + 8 ÷ 3.' Work out the correct expression for x.y = 3x − 8
- 4.A straight line has equation 4y = 12x + 20. Work out the gradient of the line.y = 12x + 20
- 5.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 6.A distance-time graph shows a car travelling at a constant speed, covering 90 km in 2 hours. Work out the car's speed in km/h.
- 7.Solve the inequality 5x − 3 > 2x + 9.
- 8.A geometric sequence has first term 5, and each term after that is 3 times the term before it. Work out the first term of the sequence that is greater than 1000.
- 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.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 11.A number, w, satisfies the statement "three times w, minus 5, is at least 16". Which of these is the correct inequality for w?
- 12.Write down the first four terms of the sequence with nth term 6n − 5.
- 13.y = 3x − 2. Work out the value of y when x = 4.y = 3x − 2
- 14.Which expression means 'y squared, multiplied by 3'?
- 15.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
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