WorksheetsFurther Mathematics
Total questions: 20
Worksheet time: 10mins
1. What is the distance between the points A(2, 3) and B(5, 7)?
a) 3
b) 4
c) 5
d) √13
2. The midpoint of the line joining (2, -1) and (6, 3) is:
a) (4, 1)
b) (2, 1)
c) (6, 3)
d) (5, 2)
The gradient of the line joining the points (3, 2) and (7, 6) is:
a) 1
b) 2
c) 4
d) 0.5
The line 3x + 4y = 12 is perpendicular to:
a) 4x + 3y = 12
b) 4x – 3y = 12
c) 3x – 4y = 12
d) –4x + 3y = 12
Which of the following is the equation of a line with slope 2 and y-intercept 3?
a) y = 3x + 2
b) y = 2x – 3
c) y = 2x + 3
d) y = –2x + 3
If a line is parallel to the x-axis, its gradient is:
a) 1
b) 0
c) Undefined
d) ∞
The gradient of a line perpendicular to y = –2x + 5 is:
a) 2
b) –½
c) ½
d) –1/2
What is the length of a line segment between points (1,2) and (4,6)?
a) 5
b) √10
c) √25
d) 6
The slope of a vertical line is:
a) 0
b) 1
c) ∞
d) Undefined
The equation of the line passing through (0, 5) and having a gradient of –3 is:
a) y = –3x + 5
b) y = 3x + 5
c) y = –5x + 3
d) y = –3x – 5
The coordinates of the midpoint of a line joining A(–2, 4) and B(4, –6) are:
a) (1, –1)
b) (3, 2)
c) (–1, –1)
d) (2, –2)
If the gradient of a line is m = –2, then the line is:
a) Rising to the right
b) Falling to the right
c) Vertical
d) Horizontal
The distance between (–1, –1) and (4, 3) is:
a) 5
b) √26
c) √41
d) 3√2
14. Which of these lines is perpendicular to y = 2x + 1?
a) y = –½x + 4
b) y = –2x – 3
c) y = ½x – 1
d) y = –½x + 1
A line with slope 0 is:
a) Vertical
b) Curved
c) Horizontal
d) Slanted
Find the equation of the line with gradient 4 that passes through (1, 2):
a) y = 4x – 2
b) y = 4x + 2
c) y = x + 4
d) y = 2x + 4
If the slope of a line is undefined, then it is:
a) Horizontal
b) Diagonal
c) Curved
d) Vertical
Find the gradient of the line joining (–3, 4) and (3, –2):
a) –1
b) 1
c) –2
d) 2
The slope of a line perpendicular to a line of slope ½ is:
a) 2
b) –½
c) –2
d) 1
The midpoint between the points (–4, 3) and (2, 5) is:
a) (–1, 4)
b) (–2, 4)
c) (1, 2)
d) (1, 4)
