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.A tank already contains some water and is then filled at a constant rate. After 2 minutes it contains 50 litres in total; after 7 minutes it contains 150 litres in total. Work out the rate at which water is added, in litres per minute.
- 2.Simplify 5a/6 − a/3
- 3.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 4.The point A lies on the x-axis. Which statement about A must be true?
- 5.Which expression means 'triple c, then add double d'?
- 6.A number machine multiplies its input by 3. The output is 15. Work out the input.
- 7.A rule turns each input x into an output y. An input of 1 gives an output of 1, an input of 2 gives an output of 4 and an input of 3 gives an output of 9. Work out the rule.
- 8.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 9.Write down the expression that means the same as w ÷ 6.
- 10.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 11.Work out the value of 2x² when x = −3
- 12.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 13.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.
- 14.Which expression is equivalent to 4(x − 2) + 10?
- 15.To solve 5x − 4 = 2x + 8, Chloe's working is shown. Line 1: 5x − 4 = 2x + 8. Line 2: 3x − 4 = 8. Line 3: 3x = 4. Line 4: x = 4/3. Chloe has made a mistake in her working. Which line contains the mistake?
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