# 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 3; Formulas which can be rearranged by adding, subtracting, multiplying or dividing both sides by a value. You can earn a trophy if you answer the questions correctly.

 A$$a=b+cd$$ B$$b=a+cd$$ C$$b=a-cd$$ D$$c = \frac{a-b}{d}$$ E$$d = \frac{a-b}{c}$$
 A$$m=n+3p$$ B$$n=m-3p$$ C$$p = \frac {m-n}{3}$$ D$$\frac{m-n}{p}=3$$ E$$n=m+3p$$
 A$$t=\frac{u-v}{a}$$ B$$v=u+at$$ C$$u=v-at$$ D$$a=\frac{v-u}{t}$$ E$$t= \frac{v-u}{a}$$
 A$$t= \frac{g-s}{2}$$ B$$g=t-2s$$ C$$g+2s=t$$ D$$s = \frac{t-g}{2}$$ E$$s = \frac{g-t}{2}$$
 A$$3x+2y=7$$ B$$3x=7-2y$$ C$$x = \frac{7-2y}{3}$$ D$$y = \frac{7-3x}{2}$$ E$$7+2y=3x$$
 A$$v=5u-\frac 13$$ B$$3v=5u-1$$ C$$5u-3v=1$$ D$$v=\frac{5u-1}{3}$$ E$$u = \frac{3v+1}{5}$$
 A$$2a+3b=c$$ B$$a=\frac{c-3b}{2}$$ C$$b = \frac{2a-c}{3}$$ D$$b = \frac{c-2a}{3}$$ E$$c = 2a+3b$$
 A$$n=\frac{360}{A}-1$$ B$$nA=359$$ C$$nA=360-A$$ D$$nA+A=360$$ E$$n+1=\frac{360}{A}$$

This is Changing The Subject - Odd One Out level 3. You can also try:
Level 1 Level 2 Level 4 Level 5 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.

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Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset:

"A set of real life savers!!
Keep it up and thank you!"

#### Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. Click here for more activities designed for students in upper Secondary/High school.

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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.

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