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

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1.Solve 5x − 9 = 16
(a)1.4
(b)5
(c)25
(d)3.2
2.A mobile phone plan charges a fixed monthly fee plus an amount for each gigabyte of data used. The total cost £C for using g gigabytes in a month is given by C = 15 + 2g. What does the number 2 represent in this formula?
(a)The cost, in pounds, for each extra 2 gigabytes of data used
(b)The fixed monthly fee, in pounds
(c)The cost, in pounds, for each extra gigabyte of data used
(d)The total number of gigabytes included in the plan
3.n = 3. Work out the value of (2n)².
(a)12
(b)9
(c)18
(d)36
4.Which of these is a formula?
(a)4s + 7
(b)P = 4s
(c)4s > 20
(d)4s = 20
5.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?
(a)y = x² + 2
(b)y = 2x + 2
(c)y = 2/x
(d)y = x³ + 2
6.Which of these is an inequality?
(a)P = 2n + 7
(b)2n + 7 = 15
(c)2n + 7
(d)2n + 7 > 15
7.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.
(a)n + 5
(b)5n + 4
(c)5n
(d)5n − 1
8.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.
(a)9.5
(b)8
(c)17.5
(d)4.75
9.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
10.Make x the subject of the formula y = (x − 4)/5.
(a)x = 5(y + 4)
(b)x = 5y − 4
(c)x = y/5 + 4
(d)x = 5y + 4
11.Which of these is a factor of 15x + 20?
(a)5
(b)3
(c)4
(d)10
12.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
13.A graph has equation y = 3x + 2. Which word or phrase best describes its shape?
y = 3x + 2
(a)A curve that gets closer to an axis but never reaches it.
(b)A straight line.
(c)A curve that decreases then increases.
(d)A U-shaped curve, like a quadratic.
14.Simplify p + p + p.
(a)p³
(b)3p
(c)3 + p
(d)p
15.Ben writes n + 4 ≤ 9. Which statement describes what Ben has written? Give a reason for your answer.
(a)An equation, because solving it gives the value of n
(b)An identity, because it is true for many values of n
(c)A formula, because it works out n from 9
(d)An inequality, because ≤ compares the two sides

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