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Level 5-6 Algebra - Equations - Fractional

In KS3 Maths, you'll dive into algebra, and one exciting part is dealing with equations. Equations might seem a bit tricky, especially when they involve fractions, but don't stress. This quiz is here to make fractional equations less daunting.

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
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?
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
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
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
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
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
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
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.
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
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