Rearranging formula - single step isolation (square/root/fraction)

Rearrange a formula where the target variable appears once and only one or two simple steps are needed (e.g. squaring, taking a root, or multiplying out a single bracket), such as E = ½mv², A = πr²(x+y), V = ⅓πr²h, s = ½at².

10 questions · Easy -1.6

1.02a Indices: laws of indices for rational exponents
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OCR MEI C1 2008 January Q1
3 marks Easy -1.8
1 Make \(v\) the subject of the formula \(E = \frac { 1 } { 2 } m v ^ { 2 }\).
OCR MEI C1 2007 June Q2
3 marks Easy -2.0
2 Make \(t\) the subject of the formula \(s = \frac { 1 } { 2 } a t ^ { 2 }\).
OCR MEI C1 2015 June Q1
2 marks Easy -1.2
1 Make \(r\) the subject of the formula \(A = \pi r ^ { 2 } ( x + y )\), where \(r > 0\).
OCR MEI C1 Q1
3 marks Easy -1.2
1 Make \(a\) the subject of the equation \(s = u t + \frac { 1 } { 2 } a t ^ { 2 }\).
OCR MEI C1 Q4
3 marks Easy -1.8
4 The surface area of the surface of a cylinder is given by the formula $$A = 2 \pi r ( r + h )$$ Rearrange this formula so that \(h\) is the subject.
OCR MEI C1 Q3
3 marks Moderate -0.8
3 Rearrange the following formula to make \(r\) the subject, where \(r > 0\). $$V = \frac { 1 } { 3 } \pi r ^ { 2 } ( a + b )$$
OCR MEI C1 Q6
3 marks Easy -1.8
6 Make \(b\) the subject of the following formula. $$a = \frac { 2 } { 3 } b ^ { 2 } c$$
OCR MEI C1 Q13
3 marks Easy -1.8
13 Make \(v\) the subject of the formula \(E = \frac { 1 } { 2 } m v ^ { 2 }\).
OCR MEI C1 Q14
3 marks Easy -1.8
14 Make \(t\) the subject of the formula \(s = \frac { 1 } { 2 } a t ^ { 2 }\).
OCR MEI C1 Q16
3 marks Easy -1.8
16 The volume of a cone is given by the formula \(V = \frac { 1 } { 3 } \pi r ^ { 2 } h\). Make \(r\) the subject of this formula.