Elective Mathematics

Question 1

1The line y = 3x + 2 has gradient 3.

Easy

A. True B. False

Question 2

2The gradient of a line through (x₁, y₁) and (x₂, y₂) is

Easy

A. (y₂ − y₁)/(x₂ − x₁) B. (x₂ − x₁)/(y₂ − y₁) C. (y₂ + y₁)/(x₂ + x₁) D. y₂ − x₂

Question 3

3Find the equation of the line through (−4, −2) with gradient 4.

Medium

A. y = 4x − 18 B. y = 4x − 14 C. y = 4x + 14 D. y = −4x + 14

Question 4

4Vertical lines have zero gradient.

Easy

A. True B. False

Question 5

5Parallel lines meet at one point.

Easy

A. True B. False

Question 6

6Find the gradient of the line joining (4, −5) and (9, −6).

Easy

A. 1/5 B. −1/5 C. −5 D. −11/13

Question 7

7Find the midpoint of (3, 2) and (5, 5).

Easy

A. (5, 3.5) B. (2, 3) C. (8, 7) D. (4, 3.5)

Question 8

8Find the distance between (0, −1) and (2, −1), correct to 2 decimal places.

Medium

A. 3 B. 2 C. 4 D. 1.41

Question 9

9Find the midpoint of (−3, 1) and (0, −5).

Easy

A. (−1.5, −2) B. (−3, −4) C. (3, −6) D. (−0.5, −2)

Question 10

10Find the midpoint of (0, −2) and (5, −4).

Easy

A. (5, −2) B. (3.5, −3) C. (5, −6) D. (2.5, −3)