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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
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  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
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  7. Tree-Diagrams- Wjec-Eduqas Higher
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  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
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  9. Introduction-To-Probability Wjec-Eduqas Higher
    3 主题
  10. Transformations Wjec-Eduqas Higher
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  11. Vectors Wjec-Eduqas Higher
    6 主题
  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
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  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
    4 主题
  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
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  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
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  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
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  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
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  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
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  19. Area-And-Perimeter- Wjec-Eduqas Higher
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  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
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  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
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  23. Symmetry-And-Shapes Wjec-Eduqas Higher
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  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
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  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
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  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
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  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
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  28. Ratios Wjec-Eduqas Higher
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  29. Sequences Wjec-Eduqas Higher
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  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
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  31. Graphing-Inequalities- Wjec-Eduqas Higher
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  32. Solving-Inequalities- Wjec-Eduqas Higher
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  33. Real-Life-Graphs Wjec-Eduqas Higher
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  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
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  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
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  36. Graphs-Of-Functions Wjec-Eduqas Higher
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  37. Linear-Graphs Wjec-Eduqas Higher
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  38. Quadratic-Equations Wjec-Eduqas Higher
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  39. Linear-Equations- Wjec-Eduqas Higher
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  40. Algebraic-Proof Wjec-Eduqas Higher
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  41. Rearranging-Formulae Wjec-Eduqas Higher
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  42. Coordinate-Geometry- Wjec-Eduqas Higher
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  43. Functions Wjec-Eduqas Higher
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  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
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  45. Iteration Wjec-Eduqas Higher
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  46. Simultaneous-Equations Wjec-Eduqas Higher
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  47. Algebraic-Fractions- Wjec-Eduqas Higher
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  48. Completing-The-Square Wjec-Eduqas Higher
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  49. Factorising Wjec-Eduqas Higher
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  50. Expanding-Brackets Wjec-Eduqas Higher
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  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
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  52. Introduction-To-Algebra Wjec-Eduqas Higher
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  53. Using-A-Calculator Wjec-Eduqas Higher
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  54. Surds Wjec-Eduqas Higher
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  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
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  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
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  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
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  58. Percentages Wjec-Eduqas Higher
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  59. Fractions Wjec-Eduqas Higher
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  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
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  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
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  62. Number-Operations Wjec-Eduqas Higher
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Exam code:C300

Distance-time graphs

How do I use a distance-time graph?

  • Distance-time graphs show the distance travelled at different times

    • Distance is on the vertical axis

    • Time is on the horizontal axis 

  • The gradient of the graph is the speed

    • speed space equals space distance over time space equals space rise over run

  • The steeper the line the faster the object is moving

    • Lines with positive gradients represent objects moving away from the start point

    • Lines with negative gradients represent objects moving towards the start point

    • Lines that are horizontal represent rest

      • The object is stationary (not moving)

How do I work out the overall average speed?

  • For journeys with multiple parts

    • the overall average speed for the whole journey is fraction numerator total space distance space travelled over denominator total space time end fraction

    • The total time includes any rests

Examiner Tips and Tricks

These questions often have a lot of parts that depend on each other, so always double check each answer before continuing.

Worked Example

One afternoon, Mary cycled 8 km from her home to her grandfather’s house.
Part of the travel graph for her journey is shown. 

A distance time graph

 (a) Find Mary’s speed at 2 pm.

The speed is the gradient of the line at that point
The gradient at 2pm is the same as the gradient for all points between 1:45pm and 2:45pm
It is easiest to use rise over run for that bigger section

rise over run equals 6 over 1

6 km/h

(b) Calculate, in minutes, how long Mary stopped on the way to her grandfather’s house.

The horizontal line is where Mary stops
The scale is 1 square = 15 minutes

15 minutes

(c) Calculate Mary’s overall average speed from leaving her home to arriving at her grandfather’s house, giving your answer correct to 3 significant figures.

 Overall average speed is fraction numerator total space distance space travelled over denominator total space time end fraction 

Total distance travelled is 8 km
Total time (including rests) is 1.75 hours

<img alt=”fraction numerator 8 over denominator 1.75 end fraction equals 4.57142…” data-mathml='<math ><semantics><mrow><mfrac ><mn>8</mn><mrow><mn>1</mn><mo>.</mo><mn>75</mn></mrow></mfrac><mo >=</mo><mn g

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