R14 interpret the gradient of a straight line graph as a rate of change Quiz: Pearson Edexcel Maths, Unit 3

The 20 questions

1. On a distance-time graph, the gradient represents:

   • distance
   • speed
   • acceleration
   • time taken

2. What does the gradient of a straight-line euros against pounds conversion graph represent?

   • Exchange fee
   • Euros per pound
   • Total currency
   • Pounds per euro

3. What is the orientation of a straight line with a gradient of zero?

   • Horizontal
   • Diagonal
   • Curved
   • Vertical

4. On a graph of water height against time, what does the gradient indicate?

   • Total capacity
   • Initial depth
   • Elapsed time
   • Filling rate

5. What does a negative gradient on a straight line graph indicate?

   • slopes upwards
   • horizontal line
   • slopes downwards
   • vertical line

6. For a direct proportion graph in the form y = kx, what does the gradient equal?

   • Y-intercept
   • Reciprocal of k
   • Constant k
   • Zero

7. What is the shape of the graph of y = k/x for positive values of x?

   • Straight line
   • Parabola
   • Increasing curve
   • Decreasing curve

8. In the linear equation y = mx + c, what does the letter c represent?

   • X-intercept
   • Y-intercept
   • Gradient
   • Rate of change

9. In a taxi fare graph of cost against distance, what does a gradient of 2 represent?

   • Maximum fare limit
   • Cost per kilometre
   • Initial fixed charge
   • Total distance travelled

10. What is the gradient of the line through (2, 5) and (6, 21)?

    • 13
    • 0.25
    • 8
    • 4

11. A tank's volume (litres) against time (minutes) passes through (0, 20) and (10, 60). What is the rate of flow?

    • 4 litres per minute
    • 0.25 litres per minute
    • 80 litres per minute
    • 40 litres per minute

12. A cost graph is a straight line through (0, 0) with gradient 2.5. What is the cost for 12 items?

    • 30
    • 12.5
    • 14.5
    • 4.8

13. A distance (m) against time (s) graph is a straight line from (0, 0) to (3, 45). What is the gradient?

    • 0.067 m/s
    • 15 m/s
    • 48 m/s
    • 135 m/s

14. A line with gradient −2 passes through (0, 6). Which point lies on it?

    • (1, 8)
    • (−2, 2)
    • (3, 12)
    • (3, 0)

15. The line y = 4x − 7 is parallel to a second line. What is the second line's gradient?

    • −1/4
    • −7
    • 4
    • 7

16. A straight line passes through (2, 11) and (5, 2). What is its equation?

    • y = 3x − 17
    • y = −3x + 5
    • y = 3x + 5
    • y = −3x + 17

17. How are the two straight lines y = 2x + 5 and y = 2x − 3 related?

    • Perpendicular
    • Identical
    • Parallel
    • Intersecting

18. What is the gradient of the line through (−3, 4) and (1, −4)?

    • 2
    • −2
    • −0.5
    • 0.5

19. A straight line through the origin passes through (6, 21). What is its gradient?

    • 127
    • 3.5
    • 0.286
    • 15

20. In the temperature conversion formula F = 1.8C + 32, what does the gradient 1.8 mean?

    • Fixed freezing point
    • Maximum temperature
    • Rate of change
    • Base offset

Related quizzes

• change freely between related standard units (e.g. time, length, area,... Quiz · R1 · 20 questions
• solve problems involving direct and inverse proportion, including graphical and... Quiz · R10 · 20 questions
• use compound units such as speed, rates of pay, unit pricing, density and pressure Quiz · R11 · 20 questions
• compare lengths, areas and volumes using ratio notation Quiz · R12 · 20 questions
• understand that X is inversely proportional to Y is equivalent to X is proportional to Quiz · R13 · 20 questions
• use and interpret algebraic manipulation, including Quiz · A1 · 20 questions
• use conventional terms and notations Quiz · G1 · 20 questions
• order positive and negative integers, decimals and fractions Quiz · N1 · 20 questions
• record, describe and analyse the frequency of outcomes of probability experiments... Quiz · P1 · 20 questions
• substitute numerical values into formulae and expressions, including scientific formulae Quiz · A2 · 20 questions