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.The diagram shows the graph of a function. Which equation could it represent?
- 2.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.
- 3.A curve has equation y = x³ − 4x. Work out the coordinates of the point where the curve crosses the y-axis.y = x
- 4.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 5.Two expressions are 6(x − 1) and 6x − 6. A student says these are equivalent for every value of x. Is the student correct?
- 6.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 7.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 8.Solve x/4 + 1 = 3
- 9.Expand 2(x + 12)
- 10.A rectangle has length (2x + 5) cm and width (x − 2) cm. Work out an expression, in terms of x, for the perimeter of the rectangle. Give your answer in its simplest form.
- 11.The area of a circle is given by the formula A = πr², where r is the radius. Rearrange the formula to make r the subject.
- 12.A company's profit is £500 in its first year. Each year after that, the profit is £300 more than the year before. Work out the profit in the company's 6th year.
- 13.The first five square numbers are 1, 4, 9, 16, 25. Write down the next square number in the sequence.
- 14.A rectangle has width x cm. Its length is 3 cm more than its width. The perimeter of the rectangle is 38 cm. Form an equation and solve it to find x.
- 15.Work out the gradient of the straight line with equation 2x + y = 8.
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