Core Mathematics

Question 1

1Find the equation of the line with gradient 2 passing through (0, 3).

Easy

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

Question 2

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

Easy

A. y = x + 2 B. y = 2x + 3 C. y = 2x + 1 D. y = 4x − 1

Question 3

3Find the equation of the line through (0, 4) with gradient −2.

Easy

A. y = −2x + 4 B. y = 2x + 4 C. y = 4x − 2 D. y = −2x − 4

Question 4

4Find the equation of the line through (1, 2) and (3, 6).

Easy

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

Question 5

5The point (k, 7) lies on the line y = 2x + 1. Find k.

Easy

A. 15 B. 4 C. 6 D. 3

Question 6

6Lines y = 3x + 1 and y = 3x − 4 are

Easy

A. perpendicular B. the same line C. intersecting at the origin D. parallel

Question 7

7Find the equation of the line through (2, 3) perpendicular to y = −x/2 + 1.

Hard

A. y = −2x + 7 B. y = x/2 + 2 C. y = 2x − 1 D. y = 2x + 3

Question 8

8The y-intercept of y = −4x + 7 is

Easy

A. −4 B. 7 C. −7 D. 4

Question 9

9Where does the line 2x + 5y = 10 cut the x-axis?

Easy

A. (10, 0) B. (0, 2) C. (2, 0) D. (5, 0)

Question 10

10Find the length of the line joining (−1, 2) and (5, 10).

Easy

A. √28 units B. 8 units C. 14 units D. 10 units