Further Graphs (Cambridge (CIE) IGCSE Maths: Core): Exam Questions

Complete the table of values for 

On the grid, draw the graph of  for .

i) On the grid, draw the line = 3.

[1]

ii) Use your line to solve the equation

= .................... or= .................... [2]

The line is shown on the grid.
Find the equation of the line in the form .

= .............................................. 

i) Complete the table of values for .

[2]

ii) On the grid opposite, draw the graph of  for 

[4]

For  write down the -coordinate of the point of intersection of the line with the curve

...............................

Complete the table of values for .

On the grid, draw the graph of  for .

i) On the grid, draw the line of symmetry.

[1]

ii) Write down the equation of the line of symmetry.

[1]

Use your graph to find the solutions of the equation 

....................... or  ..................... 

i) On the grid, draw a line from

[1]

ii) Find the equation of this line in the form 

............................ [3]

i) Complete the table of values for .

[3]

ii) On the grid, draw the graph of for 

[4]

iii) Write down the co-ordinates of the highest point of the graph for

[1]

i) Complete the table of values for

[3]

ii) On the grid, draw the graph of 

[4]

iii) Write down the co-ordinates of the lowest point on the graph.

[1]

iv)
a) On the grid, draw the line of symmetry of the graph.

[1]

b) Write down the equation of this line.

[1]

Complete the table of values for 

On the grid, draw the graph of for  and .

On the grid, draw the line = 6.

Use your graph to solve .

.............................

Complete the table of values for 

On the grid, draw the graph of  for 

Write down the equation of the line of symmetry of the graph.

Use your graph to solve the equation 

= .................... or = .................... 

Complete the table of values for

On the grid, draw the graph of  for .

Write down the coordinates of the highest point of the graph.

Write down the equation of the line of symmetry of the graph.

i) On the grid, draw the line  for 

[1]

ii) Write down the values of where the line  crosses the curve 

= ...................... and = ...................... [2]

Complete the table of values for .

On the grid, draw the graph of for and 

[4]

i) Complete the table of values for

[3]

ii) On the grid, draw the graph of  for  and .

[4]

iii) On the grid, draw the line .

[1]

iv) Use your graph to solve .

= .............................................. [1]