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Grade 3 · Foundation · free GCSE maths worksheet

Plotting straight-line graphs from a table

Making a table of values and drawing the line.

15 original questions, 42 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Complete the table of values for y = x + 3.

x01234
y

Then plot the points on squared paper and join them with a straight line.

2 marks
Show answer
3, 4, 5, 6, 7
2

Complete the table of values for x + y = 5.

x012345
y

Then plot the points on squared paper and join them with a straight line.

2 marks
Show answer
5, 4, 3, 2, 1, 0
3

Here is a table of values for y = 2x + 1

x: −2, −1, 0, 1, 2, 3

y: −3, ?, 1, 3, ?, 7

  1. Work out the missing value of y when x = −1
  2. Work out the missing value of y when x = 2
  3. Write down the coordinates of the point where the line crosses the y-axis.
3 marks
Show answer
a) -1 b) 5 c) (0, 1)
4

Complete the table of values for y = 2x.

x−2−1012
y

Then plot the points on squared paper and join them with a straight line.

2 marks
Show answer
-4, -2, 0, 2, 4
5

Here is a table of values for y = 3x − 4

x: −1, 0, 1, 2, 3

y: ?, −4, −1, 2, ?

  1. Work out the two missing values of y.
  2. Does the point (10, 26) lie on the line y = 3x − 4? You must show how you get your answer.
3 marks
Show answer
a) -7 and 5 b) Yes, 3(10) - 4 = 26
6

Complete the table of values for y = 2x + 1.

x−10123
y
  1. Write down the missing y values.
  2. Write down the coordinates of the five points you would plot.
3 marks
Show answer
a) -1, 1, 3, 5, 7 b) (-1,-1), (0,1), (1,3), (2,5), (3,7)
7

On the grid, draw the graph of y = 2x − 3 for values of x from −2 to 3

−2−1123−8−7−6−5−4−3−2−11234Oxy
3 marks
Show answer
Straight line through (-2, -7), (0, -3) and (3, 3)
8

Complete the table of values for y = 3x − 2.

x−2−1012
y

Then plot the points on squared paper and join them with a straight line.

3 marks
Show answer
-8, -5, -2, 1, 4
9

The line y = 4 − x is to be drawn.

x01234
y
  1. Complete the table.
  2. Does the point (6, −3) lie on the line? Show how you know.
3 marks
Show answer
a) 4, 3, 2, 1, 0 b) No
10

Here is a table of values for y = 12x + 2

x: −4, −2, 0, 2, 4

y: 0, ?, 2, ?, 4

  1. Work out the two missing values of y.
  2. Write down the gradient of the line.
3 marks
Show answer
a) 1 and 3 b) 1/2
11

These points should lie on the line y = 2x − 3.

x01234
y−3−1145

One of the y values is wrong. Find it and write down the correct value.

2 marks
Show answer
x = 3: y should be 3
12

On the grid, draw the graph of x + y = 6 for values of x from 0 to 6

01234560123456xy
3 marks
Show answer
Straight line through (0, 6) and (6, 0)
13

Here is a table of values for y = 2x + 3.

x01234
y357911
  1. Use the table to write down the value of x when y = 9.
  2. Does the point (10, 22) lie on the line? Show how you know.
3 marks
Show answer
a) 3 b) No
14
  1. Complete the table of values for y = 2 − 2x
    x: −2, −1, 0, 1, 2, 3
    y: 6, ?, 2, 0, ?, −4
  2. On the grid, draw the graph of y = 2 − 2x for values of x from −2 to 3
−2−1123−5−4−3−2−11234567Oxy
4 marks
Show answer
a) 4 and -2 b) Straight line through (-2, 6), (0, 2) and (3, -4)
15

Complete the table of values for y = ½x + 1.

x−4−2024
y

Then plot the points on squared paper and join them with a straight line.

3 marks
Show answer
-1, 0, 1, 2, 3

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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