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

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.

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Remember fractions? You know, numerators (the numbers above the line) and denominators (the ones below). Well, guess what? They pop up in fractional equations too. Once you grasp the rules, dealing with them becomes a breeze. Practice makes perfect, and soon, fractional equations will be a piece of cake for you.

The first questions in this quiz will refresh your memory on fractions, then we'll dive into the interesting stuff! Engage your brain, aim for full marks, but no need to rush. Take your time, read each question carefully, and submit your answers when you're ready.

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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: a⁄3 = 9⁄2. 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: a⁄9 = 9⁄4. 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: a⁄6 = 7⁄4.
[ ] 6.5
[ ] 8.5
[ ] 10.5
[ ] 12.5
9. Look at the following fractional equation and decide what is the correct value for a: 9⁄a = 18.
[ ] 0.5
[ ] 2
[ ] 27
[ ] 162
10. Look at the following fractional equation and decide what is the correct value for a: a⁄3 = 5⁄6
[ ] 2
[ ] 2.5
[ ] 3
[ ] 3.5

You can find more about this topic by visiting BBC Bitesize - Equations

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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
11⁄3 is an example of an improper fraction; 3⁄11 is an example of a proper fraction
5. Look at this fractional equation: a⁄3 = 9⁄2. 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: a⁄9 = 9⁄4. 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: a⁄6 = 7⁄4.
[ ] 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: 9⁄a = 18.
[x] 0.5
[ ] 2
[ ] 27
[ ] 162
It might make it easier to think of the above equation as 9⁄a = 18⁄1
10. Look at the following fractional equation and decide what is the correct value for a: a⁄3 = 5⁄6
[ ] 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
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