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GCSE · Graphs

3.15D Drawing Linear Graphs: Fluency and Exam Drill

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Plot the three points from the table on graph paper and draw the straight line joining them.

x: -1, 0, 2

y: -1, 1, 5

(Total for Question 1 is 2 marks)

Plot the three points from the table on graph paper and draw the straight line joining them.

x: -2, 0, 3

y: 4, 2, -1

(Total for Question 2 is 2 marks)

Plot the three points from the table on graph paper and draw the straight line joining them.

x: 0, 1, 2

y: 0, 3, 6

(Total for Question 3 is 2 marks)

Plot the three points from the table on graph paper and draw the straight line joining them.

x: 0, 2, 4

y: -1, 0, 1

(Total for Question 4 is 2 marks)

Plot the three points from the table on graph paper and draw the straight line joining them.

x: 0, 1, 2

y: 5, 3, 1

(Total for Question 5 is 2 marks)

Plot the three points from the table on graph paper and draw the straight line joining them.

x: 2, 4, 6

y: -2, 0, 2

(Total for Question 6 is 2 marks)

Plot the three points from the table on graph paper and draw the straight line joining them.

x: -3, 0, 6

y: 4, 3, 1

(Total for Question 7 is 2 marks)

Plot the three points from the table on graph paper and draw the straight line joining them.

x: 0, 2, 4

y: -1, 2, 5

(Total for Question 8 is 2 marks)

The table shows values of y for a straight line. Plot the points and draw the straight line. Then use your line to find y when x = 3.

x: 0, 2, 4

y: 1, 3, 5

(a)Plot the points and draw the straight line.(2)

(b)Use your line to work out the value of y when x = 3.(1)

(Total for Question 9 is 3 marks)

The table gives two values for x and y on a straight line. Find the equation of the line. Then use the equation to find x when y = 10.

x: 1, 3

y: 4, 8

(a)Find the equation of the straight line in the form y = mx + c.(2)

(b)Work out the value of x when y = 10.(2)

(Total for Question 10 is 4 marks)

A straight line passes through the points (0, -2) and (6, 4). Work out the x-intercept of the line (the value of x when y = 0).

(Total for Question 11 is 3 marks)

A taxi company charges a fare y (in pounds) according to the rule y = 1.5x + 2, where x is the distance in miles. Complete the table, plot the points and draw the straight line. Then estimate the distance when the fare is £11.50.

x: 0, 2, 4, 6

y:

(a)Complete the table and plot the points, then draw the straight line.(2)

(b)Estimate the distance x when the fare is £11.50, using your plotted line or the equation.(2)

(Total for Question 12 is 4 marks)

Mark scheme · 3.15D Drawing Linear Graphs: Fluency and Exam Drill

Question 1

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = 2x + 1, passing through (-1,-1), (0,1), (2,5). (All three points plotted and a straight line drawn.)

Question 2

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = -x + 2, passing through (-2,4), (0,2), (3,-1).

Question 3

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = 3x, passing through (0,0), (1,3), (2,6).

Question 4

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = 1/2 x - 1, passing through (0,-1), (2,0), (4,1).

Question 5

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = -2x + 5, passing through (0,5), (1,3), (2,1).

Question 6

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = x - 4, passing through (2,-2), (4,0), (6,2).

Question 7

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = -1/3 x + 3, passing through (-3,4), (0,3), (6,1).

Question 8

M1 at least two points plotted correctly and a straight line drawn through them (oe)
A1 all three points plotted accurately and correct straight line (cao)
Answer: Line with equation y = 3/2 x - 1, passing through (0,-1), (2,2), (4,5).

Question 9

(a) M1 at least two points plotted correctly and a straight line drawn through them (oe)
(a) A1 all three points plotted accurately and correct straight line (cao)
(a) Answer: Line with equation y = x + 1, passing through (0,1), (2,3), (4,5).
(b) A1 4 cao ft from correct line
(b) Answer: 4

Question 10

(a) M1 correct method to find gradient: (8 - 4) / (3 - 1) = 2
(a) A1 y = 2x + 2 cao
(a) Answer: y = 2x + 2
(b) M1 substitute and solve: 10 = 2x + 2 -> 2x = 8 -> x = 4
(b) A1 4 cao
(b) Answer: 4

Question 11

M1 find gradient: (4 - (-2)) / (6 - 0) = 6/6 = 1
M1 use y = mx + c with known point to find equation: y = 1x - 2
A1 x-intercept = 2 cao
Answer: 2

Question 12

(a) M1 correct method to find two or more y values and at least two points plotted (oe)
(a) A1 all four y values correct and correct straight line drawn (cao)
(a) Answer: y values: 2, 5, 8, 11 for x = 0,2,4,6 respectively. Line y = 1.5x + 2.
(b) M1 use equation or reading from graph: 11.5 = 1.5x + 2 -> 1.5x = 9.5 -> x = 9.5/1.5
(b) A1 6.33 cao, or 6.3 to 2 s.f. (awrt)
(b) Answer: 6.33 (miles) awrt

Drawing Linear Graphs: Fluency and Exam Drill - Worksheets, Questions and Revision