Elective Mathematics

Question 1

1A line parallel to y = 3x − 2 has gradient

Easy

A. 3 B. 1/3 C. −3 D. −1/3

Question 2

2What is the gradient of a line perpendicular to y = 2x + 1?

Easy

A. −2 B. 1/2 C. −1/2 D. 2

Question 3

3The acute angle between y = x and y = √3 x is

Hard

A. 45° B. 15° C. 60° D. 30°

Question 4

4The angle a line of gradient 1 makes with the positive x-axis is

Easy

A. 30° B. 45° C. 60° D. 90°

Question 5

5The line 2x + 3y = 6 cuts the y-axis at

Easy

A. (0, 2) B. (0, 6) C. (3, 0) D. (0, 3)

Question 6

6Find the equation of the line through (1, 1) and (3, 7).

Easy

A. y = 3x + 2 B. y = 3x − 2 C. y = 2x − 1 D. y = x

Question 7

7Find the gradient of the line through (1, 2) and (3, 8).

Easy

A. 3 B. 6 C. −3 D. 1/3

Question 8

8The distance from (2, −1) to the line 4x − 3y + 4 = 0 is

Hard

A. 5 B. 15/4 C. 3 D. 1

Question 9

9The midpoint of (2, 5) and (6, 1) is

Easy

A. (4, 3) B. (2, −2) C. (3, 4) D. (8, 6)

Question 10

10Find the distance between (1, 1) and (4, 5).

Easy

A. √7 B. 25 C. 7 D. 5