GCSEMathsAQAFoundationExam QuestionsAlgebraSolving Quadratic Equations

Solving Quadratic Equations (AQA GCSE Maths: Foundation): Exam Questions

Exam code: 8300

43 mins17 questions
Easy
Medium
Hard
1
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2 marks

Solve  x squared equals 9

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2
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2 marks

Solve  16 minus x squared equals 0

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3
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2 marks

Solve  3 x squared equals 75

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4
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2 marks

Solve  x squared plus 5 x equals 0

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5
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2 marks

Solve  4 a minus a squared equals 0

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1
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3 marks

Solve  x squared plus 10 x plus 16 equals 0

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2
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2 marks

Solve  x squared minus 16 x plus 64 equals 0

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3
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3 marks

Solve  x squared minus 36 equals 0

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4
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3 marks

Solve x squared space minus space x space minus 12 space equals space 0

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5
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3 marks

Solve by factorising.

x squared plus 9 x plus 20 equals 0

x= ....................... or x = .......................

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6
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2 marks

Solve open parentheses x minus 3 close parentheses open parentheses 2 x plus 3 close parentheses equals 0

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1
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3 marks

Solve  x squared minus 5 x minus 24 equals 0

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2
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3 marks

Solve  x squared plus 4 x minus 45 equals 0

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3
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3 marks

Solve  0 equals x squared minus 81

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4
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2 marks

The only solution to x squared space plus space b x space plus space c space equals space 0    is    x space equals space 5

Work out the values of b and c.

b equals.................... c equals.....................

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5
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3 marks

Solve  x squared space – space 21 x space plus space 20 space equals space 0

Show your working clearly.

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6a
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2 marks

Factorise  x squared space plus space 2 x space – space 24

.

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6b
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1 mark

Hence solve  x squared space plus space 2 x space – space 24 space equals space 0

[1]

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