Transum Software

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 1 Level 2 Level 3 Level 4 Level 5 Level 6 Description Help More 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

$$a=b^2$$
Correct Wrong

A

$$\frac{A}{\pi}=r^2$$

B

$$A=\pi r^2$$

C

$$r=\sqrt{\frac{A}{\pi}}$$

D

$$\pi = \frac{A}{r^2}$$

E

$$A=\sqrt{\frac{r^2}{\pi}}$$
Correct Wrong

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

$$r=\frac{V}{\pi h}$$
Correct Wrong

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

$$a=\sqrt{b^2-c^2}$$
Correct Wrong

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

$$3V=4 \pi r^3$$
Correct Wrong

A

$$b=\frac{a^2}{c}$$

B

$$c=\frac{a^2}{b}$$

C

$$b=\frac{a}{c^2}$$

D

$$a=\sqrt{bc}$$

E

$$a^2 = bc$$
Correct Wrong

A

$$d^2=2a+1$$

B

$$d=\sqrt{2a+1}$$

C

$$2a=d^2-1$$

D

$$a=\frac{1-d^2}{2}$$

E

$$a=\frac{d^2-1}{2}$$
Correct Wrong

A

$$p=\frac{f}{q^2}$$

B

$$\frac pq = f^2$$

C

$$f=\sqrt{\frac pq}$$

D

$$p=f^2 q$$

E

$$\frac qp = \frac{1}{f^2}$$
Correct Wrong

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

Try your best to answer the questions above. Choose one of the five possible answers. When you have finished click the "check" button. If you have any questions wrong, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. You can also claim a 'Transum Trophy' by completing this quiz.

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Description of Levels

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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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