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

Exam code: 0607

2 hours27 questions
1
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3 marks

Solve  6x27x+2=0.
You must show all your working.

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

2
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3 marks

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

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

3
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3 marks

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

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

4
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3 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 = ....................

5
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3 marks

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

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

6
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3 marks

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

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

7
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3 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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3 marks

Nina runs 5 km at y km/h and then walks 7 km at (y7) km/h.
She takes a total of 2 hours.

Show that 2y226y+35=0.

1b
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3 marks

Solve 2y226y+35=0.

y= .................. or y= ..................

1c
1 mark

Find Nina's walking speed

........................................ km/h

2
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2 marks

Solve by factorisation.

3x211x+6=0

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

3
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2 marks

The nth term of a sequence is  4n2+n+3.
Find the value of n when the nth term is 498.  

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

4
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2 marks

Solve by factorisation  10m231m14=0

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

1
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4 marks

Find all the solutions to the equation.

(x24x+4)(x29x+20)=1

2a
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3 marks

Solve 2x2+9x7=0

You must show all your working and give your solutions correct to 3 significant figures.

2b
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2 marks

Use your answer to part (a) to solve        2y2+9y7=0
Give your solutions correct to 3 significant figures.

3a
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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

3b
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2 marks

Work out the value of x.