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

1 hour25 questions

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Quadratic Equations

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1
Sme Calculator3 marks

Solve space 6 x squared minus 7 x plus 2 equals 0.
You must show all your working.

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

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2
Sme Calculator3 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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3
Sme Calculator3 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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4
Sme Calculator3 marks

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

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

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5
Sme Calculator3 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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6
Sme Calculator3 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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7
Sme Calculator3 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 Calculator3 marks

Nina runs 5 km at y km/h and then walks 7 km at open parentheses y minus 7 close parentheses km/h.
She takes a total of 2 hours.

Show that 2 y squared minus 26 y plus 35 equals 0.

1b
Sme Calculator3 marks

Solve 2 y squared minus 26 y plus 35 equals 0.

y equals space.................. or y equals ..................

1c1 mark

Find Nina's walking speed

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

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2
Sme Calculator2 marks

Solve by factorisation.

3 x squared minus 11 x plus 6 equals 0

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

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3
Sme Calculator2 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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4
Sme Calculator2 marks

Solve by factorisation  10 m squared minus 31 m minus 14 equals 0. 

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

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1
Sme Calculator4 marks

Find all the solutions to the equation.

open parentheses x squared minus 4 x plus 4 close parentheses to the power of open parentheses x squared minus 9 x plus 20 close parentheses end exponent equals 1

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2a
Sme Calculator3 marks

Solve 2 x squared plus 9 x minus 7 equals 0

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

2b
Sme Calculator2 marks

Use your answer to part (a) to 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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3a
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

3b
Sme Calculator2 marks

Work out the value of x.

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