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Quadratic Equations (Cambridge (CIE) IGCSE Maths: Extended): Exam Questions

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Quadratic Equations

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1
Sme Calculator4 marks

Use the quadratic formula to solve 9 x squared minus 12 x minus 23 equals 0.
Give your answers correct to 2 decimal places.

x equals ............................ or x equals ............................

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2
Sme Calculator4 marks

Solve the equation 3 x squared minus 2 x minus 10 equals 0.
Show all your working and give your answers correct to 2 decimal places.   

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

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3
Sme Calculator4 marks

Use the quadratic formula to solve the equation  3 x squared plus 7 x minus 11 equals 0You must show all your working and give your answers correct to 2 decimal places.  

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

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4
Sme Calculator4 marks

Solve the equation  3 x squared minus 2 x minus 2 equals 0.
Show all your working and give your answers correct to 2 decimal places.  

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

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5
Sme Calculator4 marks

Solve the equation 6 m squared plus 25 m plus 16 equals 0.
Show all your working and give your answers correct to 2 decimal places.

m equals ..................... or m equals..................... 

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6
Sme Calculator4 marks

Solve the equation 2 x squared plus 7 x minus 3 equals 0.

Show all your working and give your answers correct to 2 decimal places.

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

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1a
Sme Calculator2 marks

Write space x squared minus 18 x minus 27 space in the form space open parentheses x plus k close parentheses squared plus h.

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1b
Sme Calculator2 marks

Use your answer to part (a) to solve the equation space x squared minus 18 x minus 27 equals 0.  

x equals.................... or x equals....................

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2
Sme Calculator3 marks

The nth term of a sequence is space 4 n squared plus n plus 3.
Find the value of n when the nth term is 498.  

n equals.................................................. 

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3
Sme Calculator3 marks

Solve  10 m squared plus 9 m minus 162 equals 0. 

m = .................... or m = .................... 

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1a
Sme Calculator3 marks

Solve 2 x squared plus 9 x minus 7 equals 0

Give your solutions correct to 3 significant figures.

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1b
Sme Calculator2 marks

Solve        2 over y squared plus 9 over y minus 7 equals 0
Give your solutions correct to 3 significant figures.

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2a
Sme Calculator2 marks

The diagram shows a trapezium.

q5-veryhard-2-5-quadratic-equations-cie-igcse-maths-extended

All the measurements are in centimetres.

The area of the trapezium is 351 cm2.

Show that  2 x squared plus x minus 351 equals 0

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2b
Sme Calculator3 marks

Work out the value of x.

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3
Sme Calculator5 marks

Given that

2 x minus 1 space colon space x minus 4 equals 16 x plus 1 space colon space 2 x minus 1

find the possible values of x.

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