Printable · GCSE Higher · ages 14-16
Algebra worksheet — GCSE Higher
Fifteen questions across the algebra statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Higher
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- 1.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 2.To rearrange y = 2x − 5 to make x the subject, Sam writes: 'Add 5 to both sides to get y + 5 = 2x, then divide both sides by 2 to get x = (y + 5)/2.' Which statement about Sam's method is correct?y = 2x − 5
- 3.n = 3. Work out the value of (2n)².
- 4.A straight line has gradient −3 and passes through the point (0, 1). Work out the value of y when x = 2.
- 5.Which expression is equivalent to 3(2x − 5) + 4x?
- 6.The point (3, 6) lies on the circle x² + y² = 45. The tangent to the circle at (3, 6) crosses the x-axis at the point P. Work out the coordinates of P.
- 7.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.
- 8.Solve x² − 6x = 0.
- 9.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 10.Write down the expression that means the same as (x + 7) ÷ 4.
- 11.A curve has equation y = x² − 9. Which statement about its graph is correct?y = x² − 9
- 12.A cafe sells coffees at £c each and pastries at £p each. Three coffees and two pastries cost £9.60. Two coffees and two pastries cost £7.60. Work out the price of one coffee.
- 13.A sequence begins at 60, and each term after that is found by subtracting 7 from the term before it. Work out the 5th term of the sequence.
- 14.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 15.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
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