Expanding and Factorising worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
(a)
Expand \(7(4t + 3)\)
(b)Expand \(-7(t - 2)\)
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2 marks
(a)
Factorise fully \(10x - 2\)
(b)Factorise fully \(36x + 42y\)
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3 marks
Expand and simplify fully \(6(5y + 5) + 4(4y - 2)\)
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2 marks
Write \((x + 2)(x - 3)\) in the form \(x^2 + bx + c\), where \(b\) and \(c\) are integers.
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2 marks
\(3(5k + c) = 15k + 12\)
Work out the value of \(c\).
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2 marks
\(12t + 16 = k(3t + 4)\)
Work out the value of \(k\).
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3 marks
Expand and simplify \(8(2m - 2) - 4(3m + 7)\)
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4 marks
(a)
Factorise completely \(30m^2 - 42m\)
(b)Factorise completely \(48mn + 40m\)
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3 marks
(a)
Multiply out \(6(3m + 9)\)
(b)Multiply out \(-2(m + 8)\)
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2 marks
(a)
Factorise fully \(27m - 72\)
(b)Factorise fully \(56m + 16n\)
Answers
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(a) \(28t + 21\)
(b) \(-7t + 14\) -
(a) \(2(5x - 1)\)
(b) \(6(6x + 7y)\) - \(46y + 22\)
- \(x^2 -x - 6\)
- \(4\)
- \(4\)
- \(4m - 44\)
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(a) \(6m(5m - 7)\)
(b) \(8m(6n + 5)\) -
(a) \(18m + 54\)
(b) \(-2m - 16\) -
(a) \(9(3m - 8)\)
(b) \(8(7m + 2n)\)