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Maths Quiz - Level 3-4 Algebra - Expressions (Questions)

In your KS3 Maths lessons, you've probably encountered expressions. These are super important in algebra and overall in maths.

Algebra is like a secret code using symbols, often letters, to stand in for unknown numbers, called variables. These variables can change, or vary, depending on the situation. When you write down a situation as a maths sentence, it becomes an expression.

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In Algebra, think of an expression as a bunch of symbols showing a number or quantity. It can have numbers, letters, and symbols, and even a single number by itself is an expression. Understanding expressions is crucial in KS3 Maths, especially when dealing with BIDMAS/BODMAS.

Treat it like a puzzle – take your time, read each question carefully, and think through your answers. If you're confident with expressions, test yourself with this quiz!

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1. Which of the following is not a mathematical expression?
[ ] 6
[ ] 6a x 14
[ ] 5a - 4b +16c x 8d
[ ] Oh my gosh!
2. In an algebraic expression letters are often used to represent what?
[ ] Other letters
[ ] Only numbers greater than 1
[ ] Only numbers less than 1
[ ] Values
3. Simplify 5a + 7a.
[ ] 12a
[ ] 12aa
[ ] 57a
[ ] 57aa
4. Which of these is a simplification of 2a x 3a?
[ ] 5a
[ ] 6a
[ ] 23aa
[ ] 6a2
5. Simplify 4a + 5b + 6b + 11a
[ ] 26ab
[ ] 15a2 + 11b2
[ ] 15a + 11b
[ ] 9a + 17b
6. What is the simplification of 3a + 4b + 6c + 3a - 6c - a - 3b?
[ ] 4a + 2b - 3c
[ ] 5a + b
[ ] 6a - 3b
[ ] 9a - 2b - c
7. If I have x rabbits and you have twice as many, how many rabbits have you got?
[ ] 2x
[ ] 2 + x
[ ] 2 - x
[ ] x2
8. Jane is c years old and her sister Katie is three years younger so how old is Katie?
[ ] c3
[ ] c + 3
[ ] c - 3
[ ] c - 3 - 3
9. Peter has x brothers, Paul has y brothers and Graham has z brothers. Between the three boys, how many brothers have they got?
[ ] xyz
[ ] x + y + z
[ ] x + y - z
[ ] x - y + z
10. Suzie is x years old and she has a sister called Rosie who is four years older. Rosie's mother was 28 when Rosie was born. How old is Rosie's mother now?
[ ] 7x
[ ] x + 28
[ ] x - 4
[ ] x + 32

You can find more about this topic by visiting BBC Bitesize - Expressions and formulae

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Maths Quiz - Level 3-4 Algebra - Expressions (Answers)
1. Which of the following is not a mathematical expression?
[ ] 6
[ ] 6a x 14
[ ] 5a - 4b +16c x 8d
[x] Oh my gosh!
The correct answer might well be an English expression but it is NOT a mathematical one!
2. In an algebraic expression letters are often used to represent what?
[ ] Other letters
[ ] Only numbers greater than 1
[ ] Only numbers less than 1
[x] Values
A letter can be used in place of any number - especially if the number has not yet been worked out
3. Simplify 5a + 7a.
[x] 12a
[ ] 12aa
[ ] 57a
[ ] 57aa
Let us suppose that a = 3. (5 x 3) + (7 x 3) = 36. This is the same as saying 12 x 3 (12a) = 36
4. Which of these is a simplification of 2a x 3a?
[ ] 5a
[ ] 6a
[ ] 23aa
[x] 6a2
You must multiply the numbers together AND the letters. Remember a x a = a2
5. Simplify 4a + 5b + 6b + 11a
[ ] 26ab
[ ] 15a2 + 11b2
[x] 15a + 11b
[ ] 9a + 17b
Here we are adding numbers together, NOT multiplying them together
6. What is the simplification of 3a + 4b + 6c + 3a - 6c - a - 3b?
[ ] 4a + 2b - 3c
[x] 5a + b
[ ] 6a - 3b
[ ] 9a - 2b - c
Be careful to account for all the a's, then all the b's and then all the c's. In this case + 6c and - 6c cancel each other out and therefore they do not appear in the simplification
7. If I have x rabbits and you have twice as many, how many rabbits have you got?
[x] 2x
[ ] 2 + x
[ ] 2 - x
[ ] x2
You have two times the number that I have got and 2 times x is the same as 2x
8. Jane is c years old and her sister Katie is three years younger so how old is Katie?
[ ] c3
[ ] c + 3
[x] c - 3
[ ] c - 3 - 3
If she is younger then her age is less than. 3 less than is the same as minus 3
9. Peter has x brothers, Paul has y brothers and Graham has z brothers. Between the three boys, how many brothers have they got?
[ ] xyz
[x] x + y + z
[ ] x + y - z
[ ] x - y + z
Don't get baffled by complicated wording - often the answer is easier than you think
10. Suzie is x years old and she has a sister called Rosie who is four years older. Rosie's mother was 28 when Rosie was born. How old is Rosie's mother now?
[ ] 7x
[ ] x + 28
[ ] x - 4
[x] x + 32
If you got the answer wrong then think carefully through each aspect of the question. Rosie's mother was 28 when Rosie was born. 4 years later, Suzie was born. Suzie is now x years old so Rosie's mother's age is now
28 + 4 + x = 32 + x