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

Maths · GCSE Foundation · Algebra · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.Which expression is equivalent to 7x − 3(2x − 6)?
(a)13x − 18
(b)x − 18
(c)x + 18
(d)x + 6
2.In the expression 5x² − 3x + 7, which of these is a single term of the expression?
(a)5x² − 3x
(b)5x² − 3x + 7
(c)5x²
(d)−3x + 7
3.The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width and h is the height. Make h the subject of the formula.
(a)h = Vlw
(b)h = V − lw
(c)h = V / (lw)
(d)h = lw / V
4.Solve 5x + 2 = 17.
(a)3
(b)3.8
(c)15
(d)1.4
5.The first five cube numbers are 1, 8, 27, 64, 125. Write down the next cube number in the sequence.
(a)216
(b)36
(c)180
(d)250
6.A speed-time graph for a car shows the speed increasing steadily from 5 m/s to 17 m/s over 6 seconds. Work out the acceleration of the car, in m/s².
(a)2 m/s²
(b)22 m/s²
(c)12 m/s²
(d)72 m/s²
7.The diagram shows the graph of a straight line, drawn on a grid numbered from −5 to 5 on both axes. Which equation could represent the line?
(a) $y = 2 x + 1$
(b) $y = - 2 x - 1$
(c) $y = x - 1$
(d) $y = 2 x - 1$
8.Solve 2(x + 3) = 10
(a)x = 3.5
(b)x = 8
(c)x = 5
(d)x = 2
9.Work out the value of 5y + 9 when y = 0
(a)45
(b)0
(c)9
(d)14
10.Work out the value of 3b − 4 when b = 6
(a)6
(b)5
(c)14
(d)18
11.Which of these equations gives a graph with two separate curved branches — one where x and y are both positive, and one where x and y are both negative?
(a)y = 2x + 1
(b)y = 1/x
(c)y = x²
(d)y = x³
12.Which of these is a term, rather than a whole expression, an equation, or a formula?
(a)A = 5x²
(b)5x² + 3x
(c)5x² = 20
(d)5x²
13.The mean of four numbers is 12.5. Three of the numbers are 8, 15 and 19. Form an equation using n for the fourth number, and solve it to find n.
(a)−4.5
(b)50
(c)29.5
(d)8
14.A car park charges by the hour. Parking for 1 hour costs £5, 2 hours costs £9, 3 hours costs £13 and 4 hours costs £17, with the cost increasing by the same amount for each extra hour. Work out an expression, in terms of n, for the cost, in pounds, of parking for n hours.
(a)4n + 1
(b)4n + 5
(c)4n − 3
(d)n + 4
15.x = 5. Work out the value of 3x² − 4.
(a)221
(b)75
(c)71
(d)3

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