Quadratic Equations (Cambridge (CIE) O Level Maths): Exam Questions

Exam code: 4024

1 hour23 questions
1
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4 marks

Use the quadratic formula to solve 9x212x23=0.
Give your answers correct to 2 decimal places.

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

2
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4 marks

Solve the equation 3x22x10=0.
Show all your working and give your answers correct to 2 decimal places.   

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

3
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4 marks

Use the quadratic formula to solve the equation  3x2+7x11=0. You must show all your working and give your answers correct to 2 decimal places.  

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

4
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4 marks

Solve the equation  3x22x2=0.
Show all your working and give your answers correct to 2 decimal places.  

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

5
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4 marks

Solve the equation 6m2+25m+16=0.
Show all your working and give your answers correct to 2 decimal places.

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

6
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4 marks

Solve the equation 2x2+7x3=0.
Show all your working and give your answers correct to 2 decimal places.

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

1a
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2 marks

Write  x218x27  in the form  (x+k)2+h.

1b
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2 marks

Use your answer to part (a) to solve the equation  x218x27=0.  

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

2
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3 marks

The nth term of a sequence is  4n2+n+3.

Find the value of n when the nth term is 498.  

n=.................................................. 

3
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3 marks

Solve  10m2+9m162=0.  

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

1a
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3 marks

Solve 2x2+9x7=0
Give your solutions correct to 3 significant figures.

1b
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2 marks

Solve        2y2+9y7=0
Give your solutions correct to 3 significant figures.

2a
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2 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  2x2+x351=0

2b
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3 marks

Work out the value of x.

3
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5 marks

Given that

2x1 : x4=16x+1 : 2x1

find the possible values of x.