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

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Simultaneous Equations

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1
Sme Calculator3 marks

Solve the simultaneous equations. You must show all your working.

1 half x minus 3 y equals 9 space space space 5 x plus y equals 28

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2
Sme Calculator4 marks

Solve the simultaneous equations     table row cell 2 x space plus space 7 y space end cell equals cell space 17 space end cell row cell 5 x space plus space 3 y space end cell equals cell space – 1 end cell end table

Show clear algebraic working.

table row cell x space end cell equals cell space.................................. end cell row cell y space end cell equals cell space.................................. space end cell end table 

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3
Sme Calculator3 marks

Solve the simultaneous equations

table row cell 5 a space plus space 2 c space end cell equals cell space 10 space end cell row cell 2 a space – space 4 c space end cell equals cell space 7 end cell end table

Show clear algebraic working.

             a space equals .......................................................     
  c space equals .......................................................       

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4
Sme Calculator4 marks

Solve the simultaneous equations

table row cell 7 x space – space 2 y space end cell equals cell space 34 space end cell row cell 3 x space plus space 5 y space end cell equals cell space minus 3 end cell end table

Show clear algebraic working.

x space equals.............................................      

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

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5
Sme Calculator3 marks

The equation of line P is space 5 x space plus space 2 y space equals space 13 space.

The equation of line Q is y space equals space 2 x space – space 7.

Find the coordinates of the point of intersection of line P and line Q.

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1
Sme Calculator4 marks

Solve the simultaneous equations.
You must show all your working.

2 x plus 3 y equals negative 12 5 x plus 2 y equals 14  

x = ................................................ 
y = ................................................ 

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2
Sme Calculator3 marks

Solve the simultaneous equations.

2 x space – space y space equals space 6 space 4 x space plus space 3 y space equals space – 3

x space equals space................

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

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1
Sme Calculator6 marks

Marco is making patterns with grey and white circular mats.

cie-igcse-2018-may-jun-1-p4-q12

The patterns form a sequence. Marco makes a table to show some information about the patterns.

Pattern number

1

2

3

4

Number of grey mats

6

9

12

15

Total number of mats

6

10

15

21

Marco needs a total of 6 mats to make the first pattern.

He needs a total of 16 mats to make the first two patterns.
He needs a total of 1 over 6 n cubed plus a n squared plus b n mats to make the first n patterns.
Find the value of a and the value of b.

a equals.........................................
  b equals......................................... 

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