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.Write down the expression that means the same as (x + 7) ÷ 4.
(a)4(x + 7)
(b)4/(x + 7)
(c)(x + 7)/4
(d)(x + 7) − 4
2.Given that (x + 2)(x − 7) = 0, write down the two solutions of x.
(a)x = 2 or x = −7
(b)x = −2 or x = −7
(c)x = −2 or x = 7
(d)x = 2 or x = 7
3.The diagram shows two curves drawn on the same grid. Curve A is the graph of $y = x^{2}$ . Which equation could represent curve B?
(a) $y = (x - 3)^{2}$
(b) $y = x^{2} - 3$
(c) $y = x^{2} + 3 x$
(d) $y = x^{2} + 3$
4.The solution to an inequality is n ≤ 5. Write down the largest integer value of n that satisfies this inequality.
(a)5
(b)4
(c)6
(d)−5
5.Make b the subject of the formula a = 5b.
(a)b = 5/a
(b)b = a/5
(c)b = 5a
(d)b = a − 5
6.A cinema sells adult tickets and child tickets. On one evening, 40 tickets are sold in total. There are 8 more adult tickets sold than child tickets. Work out the number of child tickets sold.
(a)20
(b)32
(c)16
(d)24
7.A stack of firewood has 3 logs in the top layer. Each layer below has 4 more logs than the layer above it. Work out the number of logs in the 6th layer from the top.
(a)23
(b)27
(c)24
(d)20
8.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
(a)x + 3
(b)3 − x
(c)x − 3
(d)3x
9.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
(a)Third and fourth
(b)First and third
(c)Second and fourth
(d)First and second
10.a = 2 and b = 5. Work out the value of a²b.
(a)9
(b)20
(c)100
(d)50
11.Work out the value of 5y + 9 when y = 0
(a)45
(b)0
(c)9
(d)14
12.The formula connecting distance (d), speed (s) and time (t) is d = st. Make s the subject of the formula.
(a)s = t / d
(b)s = d / t
(c)s = d − t
(d)s = dt
13.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.
(a)25
(b)24
(c)21
(d)23
14.Work out the gradient of the straight line with equation 2x + y = 8.
(a)−1/2
(b)8
(c)2
(d)−2
15.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
(a)(2, 5)
(b)(−5, −2)
(c)(−5, 2)
(d)(5, −2)

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