KS3 Maths Quiz - Level 5-6 Algebra - Equations - Fractional (Questions)

In KS3 Maths you'll be asked to work on algebra. One aspect of algebra is equations. These can be quite daunting at first - especially when they involve fractions. But don't worry. This quiz should help you get your head around fractional equations.

Do you remember working on fractions? If so, you'll know all about numerators (the numbers above the line in fractions) and denominators (the numbers below the line). So, you won't be surprised to hear that numerators and denominators also appear in fractional equations. It's all quite simple once you learn the rules. Keep practising and fractional equations will soon be second nature to you.

The first few questions in this quiz will act as revision on what fractions are all about - then we get into the more interesting stuff! Flex your brain muscles and see if you can get full marks. But don't rush. Take your time and read each question carefully before submitting your answers.

1. According to the dictionary what is the purpose of a fraction?
[ ] To complicate maths
[ ] To annoy teachers
[ ] To confuse students
[ ] To represent part of a whole
2. Where can the 'numerator' in a fraction be found?
[ ] Above the line
[ ] Below the line
[ ] Either above or below the line
[ ] Anywhere but where it ought to be
3. Where can the 'denominator' in a fraction be found?
[ ] Above the line
[ ] Below the line
[ ] Either above or below the line
[ ] Hiding
4. If a fraction has a numerator (above the line) that is greater than the denominator (below the line) then it is what type of fraction?
[ ] Important
[ ] Impossible
[ ] Improbable
[ ] Improper
5. Look at this fractional equation: a3 = 92. To solve the equation what would you do first?
[ ] Multiply a x 9
[ ] Multiply 3 x 2
[ ] Multiply a x 9 AND multiply 3 x 2
[ ] Multiply a x 2 AND multiply 3 x 9
6. In the equation 2 x a = 3 x 9 which of these is not correct?
[ ] 2 x a = 27
[ ] 2a = 3 x 9
[ ] 2a = 27
[ ] a = 14.5
7. Look at this fractional equation: a9 = 94. Which of the following steps is incorrect?
[ ] 4 x a = 9 x 9
[ ] 4a = 81
[ ] a = 81/4
[ ] a = 20
8. Look at the following fractional equation and decide what is the correct value for a: a6 = 74.
[ ] 6.5
[ ] 8.5
[ ] 10.5
[ ] 12.5
9. Look at the following fractional equation and decide what is the correct value for a: 9a = 18.
[ ] 0.5
[ ] 2
[ ] 27
[ ] 162
10. Look at the following fractional equation and decide what is the correct value for a: a3 = 56
[ ] 2
[ ] 2.5
[ ] 3
[ ] 3.5
KS3 Maths Quiz - Level 5-6 Algebra - Equations - Fractional (Answers)
1. According to the dictionary what is the purpose of a fraction?
[ ] To complicate maths
[ ] To annoy teachers
[ ] To confuse students
[x] To represent part of a whole
All the other answers might be true but we did ask for what the DICTIONARY tells us!
2. Where can the 'numerator' in a fraction be found?
[x] Above the line
[ ] Below the line
[ ] Either above or below the line
[ ] Anywhere but where it ought to be
One way to remember numerators and denominators is this - NUmerators are Never Under and Denominators are Down
3. Where can the 'denominator' in a fraction be found?
[ ] Above the line
[x] Below the line
[ ] Either above or below the line
[ ] Hiding
One way to remember numerators and denominators is this - NUmerators are Never Under and Denominators are Down
4. If a fraction has a numerator (above the line) that is greater than the denominator (below the line) then it is what type of fraction?
[ ] Important
[ ] Impossible
[ ] Improbable
[x] Improper
113 is an example of an improper fraction; 311 is an example of a proper fraction
5. Look at this fractional equation: a3 = 92. To solve the equation what would you do first?
[ ] Multiply a x 9
[ ] Multiply 3 x 2
[ ] Multiply a x 9 AND multiply 3 x 2
[x] Multiply a x 2 AND multiply 3 x 9
To cross multiply, you multiply the denominator on the right hand side with the numerator on the left hand side and then vice versa with the other numbers. This gets you to the position of 2 x a = 3 x 9
6. In the equation 2 x a = 3 x 9 which of these is not correct?
[ ] 2 x a = 27
[ ] 2a = 3 x 9
[ ] 2a = 27
[x] a = 14.5
The correct answer is a = 13.5
7. Look at this fractional equation: a9 = 94. Which of the following steps is incorrect?
[ ] 4 x a = 9 x 9
[ ] 4a = 81
[ ] a = 81/4
[x] a = 20
The correct answer is a = 20.25
8. Look at the following fractional equation and decide what is the correct value for a: a6 = 74.
[ ] 6.5
[ ] 8.5
[x] 10.5
[ ] 12.5
If you got it wrong then look through the workings in questions 6 and 7 above
9. Look at the following fractional equation and decide what is the correct value for a: 9a = 18.
[x] 0.5
[ ] 2
[ ] 27
[ ] 162
It might make it easier to think of the above equation as 9a = 181
10. Look at the following fractional equation and decide what is the correct value for a: a3 = 56
[ ] 2
[x] 2.5
[ ] 3
[ ] 3.5
We divide 6 by 2 to get the denominator 3, so we divide 5 by 2 to get the numerator (a) which is 2.5