Edexcel IGCSE Maths
Topic questions Pure mathematics Graphs and curve sketching
11 questions · 47 marks · about 1 hour
Also involves Substitution into formulae · Cubic, reciprocal and exponential graphs
Complete the table of values for y = x3 + 2x + 3
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
| y | –9 | 0 | 3 | 6 | 36 |
On the grid, draw the graph of y = x3 + 2x + 3 for –3 
x ≤ 3
Also involves Quadratic graphs · Cubic, reciprocal and exponential graphs
Here are five graphs.
Write down the letter of the graph that could have the equation y 
5 
x2
Write down the letter of the graph that could have the equation y = 2x3
Here are four graphs.
Write down the letter of the graph that could have the equation y 
Also involves Straight line graphs · Trigonometric graphs
Here are 6 graphs.
| y O | Graph A y x O | Graph B y x O | Graph C x |
| y O | Graph D y x O | Graph E y x O | Graph F x |
Complete the table below with the letter of the graph that could represent each given equation.
Write your answers on the dotted lines.
| Equation | Graph |
| y = sinx | ............................ |
| y = – 3x | ............................ |
| y = 4x3 – 5x | ............................ |
Also involves Simultaneous equations
Complete the table of values for y = x3 – 3x + 2
| x | –2 | –1 | –0.5 | 0 | 1 | 1.5 | 2 |
| y | 4 | 3.4 | 0 | 0.9 |
On the grid, draw the graph of y = x3 – 3x + 2 for values of x from –2 to 2
By drawing a suitable straight line on the grid, use your graph to find an estimate for the solution of
Give your answer correct to one decimal place.
Also involves Trigonometric graphs · Cubic, reciprocal and exponential graphs
Here are nine graphs.
Complete the table below with the letter of the graph that could represent each given equation. Write each answer on the dotted line.
| Equation | Graph |
| y = –2x + 3 | ....................................................... |
| y = – 1x | ....................................................... |
y = tanx | ....................................................... |
| y = (x + 1)(x – 1)(x – 2) | ....................................................... |
Also involves Cubic, reciprocal and exponential graphs
Complete the table of values for y = 
| x | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 |
| y | 6 | 2 | 1 |
On the grid, draw the graph of y = 
for 0.5 ≤ x ≤ 6
Also involves Rearranging formulae · Quadratic graphs
Use the graph to find estimates for the solutions of the equation 2x2 − 4x − 1 = 0 Give your solutions correct to one decimal place.
By drawing a suitable straight line on the grid, find estimates for the solutions of the
Complete the table of values for y 
x 
3
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
| y | 7.5 | –2.5 | 4.5 |
On the grid, draw the graph of y 
x 
3 for values of x from –3 to 3
Also involves Simultaneous equations
Complete the table of values for y = x3 – 2x2 – 3x + 4
| x | –2 | –1 | –0.5 | 0 | 1 | 1.5 | 2 | 3 |
| y | 4.875 | 4 | –1.625 |
On the grid, draw the graph of y = x3 – 2x2 – 3x + 4 for values of x from –2 to 3
By drawing a suitable straight line on the grid, find estimates for the solutions of the equation x3 – 2x2 – x + 1 = 0 Give your solutions correct to 1 decimal place.
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