Rearranging Formulas Practice Questions

Question 1

2 marks

Do not use a calculator for this question.

The area $A$ of a trapezium is given by the formula
$A=\tfrac{1}{2}(a+b)h$

Make $b$ the subject of the formula.

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Question 2

3 marks

Do not use a calculator for this question.

The kinetic energy $E$ of a moving object is given by the formula
$E=\tfrac{1}{2}mv^2$
where $m$ is the mass of the object and $v$ is its speed.

(a)

Make $m$ the subject of the formula.

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(b)

Use your answer to part (a) to work out the value of $m$ when $E=48$ and $v=4$ .

/ 1

Question 0

3 marks

Do not use a calculator for this question.

Make $a$ the subject of the formula
$b=\frac{5}{a}+2$

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Question 0

4 marks

Do not use a calculator for this question.

Make $w$ the subject of the formula
$P=\frac{4w+3}{2w-1}$

/ 4

Question 0

4 marks

You may use a calculator for this question.

The volume $V$ of a sphere of radius $r$ is given by the formula
$V=\tfrac{4}{3}\pi r^3$

(a)

Make $r$ the subject of the formula.

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(b)

A solid sphere has a volume of $500\,\mathrm{cm}^3$ .

Work out the radius of the sphere.
Give your answer correct to 3 significant figures.

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Question 0

3 marks

Do not use a calculator for this question.

Make $x$ the subject of the formula
$y=5\sqrt{x}-2$

/ 3

Question 0

5 marks

Do not use a calculator for this question.

For a thin lens, the distances $u$ , $v$ and $f$ are connected by the formula
$\frac{1}{f}=\frac{1}{u}+\frac{1}{v}$

(a)

Show that $v=\dfrac{uf}{u-f}$ .

/ 3

(b)

Hence work out the value of $v$ when $u=15$ and $f=6$ .

/ 2

Number

Algebra

Ratio, Proportion & Rates of Change

Geometry & Measures

Probability

Statistics

Question 1

Question 2

Question 0

Question 0

Question 0

Question 0

Question 0