GCSEMathsEdexcelFoundationExam QuestionsAlgebraSolving Quadratic Equations

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

Exam code: 1MA1

45 mins17 questions
Easy
Medium
Hard
1
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Solve  x squared equals 9

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2
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Solve  16 minus x squared equals 0

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3
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Solve  3 x squared equals 75

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42 marks

Solve  x squared plus 5 x equals 0

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52 marks

Solve  4 a minus a squared equals 0

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1
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Solve  x squared plus 10 x plus 16 equals 0

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2
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Solve  x squared minus 16 x plus 64 equals 0

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3
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Solve  x squared minus 36 equals 0

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4
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Solve x squared space minus space x space minus 12 space equals space 0

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5
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Solve by factorising x squared plus 9 x plus 20 equals 0

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

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1
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Solve  x squared minus 5 x minus 24 equals 0

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2
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Solve  x squared plus 4 x minus 45 equals 0

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3
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Solve  0 equals x squared minus 81

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4
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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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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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Factorise  x squared space plus space 2 x space – space 24

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6b
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Hence solve  x squared space plus space 2 x space – space 24 space equals space 0

[1]

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7
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An object is moving in a straight line. It has an initial speed of u equals 1 m/s and accelerates with an acceleration of a equals 2 m/s2. Given that the distance travelled is given by s equals u t plus 1 half a t squared, determine the length of time t in seconds that the object takes to travel s equals 20 metres.

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