A10 Gradients and intercepts of linear functions Quiz: AQA Maths, Unit 2

The 20 questions

1. What is the gradient of the line y = 3x - 5?

   • 3
   • -3
   • -5
   • 5

2. What is the y-intercept of the line y = 3x - 5?

   • -5
   • -3
   • 5
   • 3

3. What is the gradient of the line y = -2x + 7?

   • -2
   • 7
   • -7
   • 2

4. A line passes through (0, 1) and (2, 7). What is its gradient?

   • 4
   • 2
   • 3
   • 6

5. A line passes through (2, 5) and (6, 13). What is its gradient?

   • 2
   • 4
   • 8
   • 0.5

6. Which equation has gradient 4 and y-intercept -3?

   • y = 4x - 3
   • y = 4x + 3
   • y = -3x + 4
   • y = 3x - 4

7. Which line is parallel to y = 5x + 2?

   • y = 5x - 1
   • y = -5x + 2
   • y = 2x + 5
   • y = x/5 + 2

8. Does the point (3, 7) lie on the line y = 2x + 1?

   • Yes, because 2 x 3 + 1 = 7
   • No, because the gradient is 3
   • Yes, because the intercept is 7
   • No, because 7 is not equal to 1

9. A line has gradient 2/3. What is the gradient of a line perpendicular to it?

   • -2/3
   • 2/3
   • -3/2
   • 3/2

10. A tank holds 20 litres and fills at 5 litres per minute. Which equation gives the volume V after t minutes?

    • V = 5t - 20
    • V = t + 25
    • V = 20t + 5
    • V = 5t + 20

11. On a distance-time graph a straight line has gradient 1.5 m/s. What does this gradient represent?

    • The time taken to travel 1.5 metres
    • The acceleration of 1.5 metres per second squared
    • The constant speed of 1.5 metres per second
    • The distance of 1.5 metres at the start

12. What is the y-intercept of the line 3x + 2y = 12?

    • 6
    • -6
    • 12
    • 4

13. What is the x-intercept of the line 3x + 2y = 12?

    • 6
    • 12
    • -4
    • 4

14. A line passes through (-1, 3) and (2, -3). What is its gradient?

    • -0.5
    • -2
    • -6
    • 2

15. What is the gradient of the horizontal line y = 4?

    • 1
    • Undefined
    • 0
    • 4

16. What is the gradient of the vertical line x = 3?

    • It is 0 (horizontal)
    • It is equal to 3
    • It is undefined
    • It is 1/3 per unit

17. A straight line rises 6 units for every 3 units across. What is its gradient?

    • 2
    • 0.5
    • 6
    • 3

18. (H) A line through (1, k) and (4, 10) has gradient 3. What is k?

    • 7
    • 3
    • 1
    • -2

19. (H) What is the equation of the line through (2, 1) and (6, 9)?

    • y = 2x - 3
    • y = x - 1
    • y = 2x + 1
    • y = 4x - 7

20. A line with gradient -0.5 passes through (0, 4). Which point also lies on it?

    • (-4, 2)
    • (4, -2)
    • (4, 2)
    • (2, 4)

Related quizzes

• Algebraic notation and conventions (ab, a^2, a/b, brackets) Quiz · A1 · 20 questions
• Substituting numbers into formulae and expressions Quiz · A2 · 20 questions
• Vocabulary of expressions, equations, formulae, inequalities, terms and factors Quiz · A3 · 20 questions
• Simplifying and manipulating algebraic expressions Quiz · A4 · 20 questions
• Using and rearranging formulae to change the subject Quiz · A5 · 20 questions
• Equations, identities and algebraic proof Quiz · A6 · 20 questions
• Expressions as functions; inverse and composite functions Quiz · A7 · 20 questions
• Coordinates in all four quadrants Quiz · A8 · 20 questions
• Straight-line graphs: y = mx + c, parallel and perpendicular lines Quiz · A9 · 20 questions
• Quadratic graphs: roots, intercepts and turning points Quiz · A11 · 20 questions