Changing the Subject of a Formula 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)
Make \(x\) the subject of \(y = x - 13\)
(b)Make \(t\) the subject of \(w = 5t\)
(c)Make \(k\) the subject of \(p = \frac{k}{ 4 }\)
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2 marks
Make \(x\) the subject of the formula \(y = 2x - 3\)
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2 marks
Make \(x\) the subject of the formula \(y = \frac{x}{ 9 } + 5\)
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4 marks
A hire shop uses the formula
\(C = 14d + 16\)
to work out the cost, \(C\) pounds, of hiring a garden shredder for \(d\) days.
(a)Make \(d\) the subject of the formula.
(b)Heidi pays £142 to hire the garden shredder.
Calculate the number of days she hires it for.
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2 marks
Make \(x\) the subject of the formula \(y = 28 - 3x\)
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3 marks
(a)
Rearrange \(y = x + 17\) to make \(x\) the subject.
(b)Rearrange \(w = 6t\) to make \(t\) the subject.
(c)Rearrange \(p = \frac{k}{ 3 }\) to make \(k\) the subject.
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2 marks
Make \(x\) the subject of the formula \(y = 2x + 3\)
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2 marks
Make \(x\) the subject of the formula \(y = \frac{x}{ 6 } - 15\)
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4 marks
A hire shop uses the formula
\(C = 15d + 10\)
to work out the cost, \(C\) pounds, of hiring a cement mixer for \(d\) days.
(a)Make \(d\) the subject of the formula.
(b)Aisha pays £190 to hire the cement mixer.
Calculate the number of days she hires it for.
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2 marks
Make \(x\) the subject of the formula \(y = 8 - 5x\)
Answers
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(a) \(x = y + 13\)
(b) \(t = \frac{w}{ 5 }\)
(c) \(k = 4p\) - \(x = \frac{y + 3 }{ 2 }\)
- \(x = 9(y - 5)\)
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(a) \(d = \frac{C - 16 }{ 14 }\)
(b) \(9\ \text{days}\) - \(x = \frac{ 28 - y }{ 3 }\)
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(a) \(x = y - 17\)
(b) \(t = \frac{w}{ 6 }\)
(c) \(k = 3p\) - \(x = \frac{y - 3 }{ 2 }\)
- \(x = 6(y + 15)\)
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(a) \(d = \frac{C - 10 }{ 15 }\)
(b) \(12\ \text{days}\) - \(x = \frac{ 8 - y }{ 5 }\)