 Changing The Subject - Odd One Out

Which of the five versions of the formula is the odd one out because it is not equivalent to the other four?

Level 1Level 2Level 3Level 4Level 5Level 6DescriptionHelpMore Algebra

This is level 5; Formulas including squares or square roots. You can earn a trophy if you answer the questions correctly.

 A$$b=\sqrt a$$ B$$b = \frac ab$$ C$$\frac{a}{b^2}=1$$ D$$b=2a$$ E$$a=b^2$$  A$$\frac{A}{\pi}=r^2$$ B$$A=\pi r^2$$ C$$r=\sqrt{\frac{A}{\pi}}$$ D$$\pi = \frac{A}{r^2}$$ E$$A=\sqrt{\frac{r^2}{\pi}}$$  A$$h=\frac{V}{\pi r^2}$$ B$$r=\sqrt{\frac{V}{\pi h}}$$ C$$V=\pi r^2 h$$ D$$r^2=\frac{V}{h \pi}$$ E$$r=\frac{V}{\pi h}$$  A$$a^2=b^2+c^2$$ B$$a^2=b^2-c^2$$ C$$b^2=a^2-c^2$$ D$$c^2=a^2-b^2$$ E$$a=\sqrt{b^2-c^2}$$  A$$\pi = \frac{4V}{3r^3}$$ B$$V=\frac43 \pi r^3$$ C$$\pi = \frac{3V}{4r^3}$$ D$$r^3=\frac{3V}{4 \pi}$$ E$$3V=4 \pi r^3$$  A$$b=\frac{a^2}{c}$$ B$$c=\frac{a^2}{b}$$ C$$b=\frac{a}{c^2}$$ D$$a=\sqrt{bc}$$ E$$a^2 = bc$$  A$$d^2=2a+1$$ B$$d=\sqrt{2a+1}$$ C$$2a=d^2-1$$ D$$a=\frac{1-d^2}{2}$$ E$$a=\frac{d^2-1}{2}$$  A$$p=\frac{f}{q^2}$$ B$$\frac pq = f^2$$ C$$f=\sqrt{\frac pq}$$ D$$p=f^2 q$$ E$$\frac qp = \frac{1}{f^2}$$  This is Changing The Subject - Odd One Out level 5. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 6

Instructions

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Description of Levels

Close Level 1 - Formulas which can be rearranged by adding or subtracting terms from both sides

Example: Make e the subject of the formula d = e - f

Level 2 - Formulas which can be rearranged by multiplying or dividing both sides by a value

Example: Rearrange the formula n = mp

Level 3 - Formulas which can be rearranged by adding, subtracting, multiplying or dividing both sides by a value

Example: Rearrange the formula b = a + cd

Level 4 - Formulas including brackets or expressions in the numerator or denominator of a fraction

Example: Rearrange the formula p = s(t + 2)

Level 5 - Formulas including squares or square roots

Example: Rearrange the formula d² = 2a + 1

Level 6 - Finding the unknown which is not the subject of a formula

Example: If m = n² + 2p, find p when m=8 and n=10

Help

In level 6, there are two solutions to the questions which involve finding a square root (which could be positive or negative). This program will accept either of the possible answers.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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