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Name: _______________________________________________
Year 9 Mathematics Test 2
Linear Graphs, Inequalities Graphs, Angles
Date:
Time: 1 hour 30 minutes Total marks available: 70 Total marks achieved: ______
Questions Q1. (a) On the grid, draw the graph of y = –2x + 4 for values of x from –1 to 5
(4)
(b) Show by shading on the grid, the region defined by all three of the inequalities y 2x + 4 y 4 x 1
Label your region R. (3)
(Total for question = 7 marks)
Q2. (a) On the grid, draw the graph of y = 3x + 2 for values of x from 2 to 3
(3) (b) Mark with a cross (×) a point on the grid that satisfies both the inequalities
x > 2 and y > 3x + 2
Label this point P. (2)
(Total for question = 5 marks)
Q3.
(a) Complete the table of values for 2x + y = 4
(2)
(b) On the grid, draw the graph of 2x + y = 4 for values of x from 1 to 4
(2)
(c) Show, by shading on the grid, the region which satisfies all three of the inequalities
x 1, y 2 and 2x + y 4
Label the region R.
(2)
(Total for Question is 6 marks)
Q4. Here is the straight line L drawn on a grid.
Find an equation for L.
...........................................................
(Total for question = 2 marks)
Q5.
(a) The straight line L passes through the points (0, 12) and (10, 4). Find an equation for L.
........................................................... (3)
(b) Find an equation of the straight line which is parallel to L and passes through the point (5, 11).
........................................................... (2)
(Total for Question is 5 marks)
Q6. The points (1, –1) and (4, 7) lie on the straight line L.
Find an equation for L.
Give your equation in the form ax + by= c where a, b and c are integers.
...........................................................
(Total for question = 4 marks)
Q7.
(a) Find the gradient of the line with equation 3x + 4y = 10
........................................................... (3)
(b) Find the coordinates of the point of intersection of the line with equation 3x + 4y = 10 and the line with equation 5x 6y = 23 Show your working clearly.
(.............................. , ..............................) (5)
(Total for question is 8 marks)
Q8.
ABCD is a parallelogram. Angle DCB = 110° X is the point on DC such that AX bisects the angle DAB.
Calculate the size of angle AXC.
........................................................... °
(Total for question = 4 marks)
Q9. Here is a regular 10-sided polygon.
Work out the value of x. Show your working clearly.
x = ...........................................................
(Total for question = 4 marks)
Q10.
ABC and EDC are straight lines. AE is parallel to BD. Angle EAC = 40° Angle ACE = 30° Work out the size of angle x. Give reasons for your answer.
x = ........................................................... °
(Total for question = 3 marks)
Q11.
ABCDEF is a hexagon. G is a point on AF. H is a point on BC. GH is parallel to AB. (a) Give a reason why x = 107
..............................................................................................................................................
(1) (b) Work out the value of y.
y = ........................................................... (4)
(Total for question = 5 marks)
Q12. Each interior angle of a regular polygon is 156°
Work out the number of sides of the polygon.
...........................................................
(Total for question = 3 marks)
Q13. Each exterior angle of a regular polygon is 18°
Work out the number of sides of this regular polygon.
...........................................................
(Total for question = 2 marks)
Q14.
The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Two sides of each of the regular pentagons and two sides of A meet at the point P. Calculate the value of n. Show your working clearly.
n = ...........................................................
(Total for question = 5 marks)
Q15.
EFG is a triangle. AB is parallel to CD.
(a) Write down the value of p
p = ........................................................... (1)
(b) Write down the value of q
q = ........................................................... (1)
Here is a hexagon.
(c) Work out the value of x
x = ........................................................... (3)
(Total for question = 5 marks)
Q16.
Work out the size of each exterior angle of a regular polygon with 15 sides.
........................................................... °
(Total for Question is 2 marks)