WEILAI Online Academic assistant
WEILAI Online Academic assistant
Back to 课程

Maths Gcse Aqa Higher

0% Complete
0/0 Steps
  1. Scatter-Graphs-And-Correlation Aqa Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Aqa Higher
    4 主题
  3. Histograms Aqa Higher
    3 主题
  4. Statistical-Diagrams Aqa Higher
    5 主题
  5. Averages-Ranges-And-Data Aqa Higher
    7 主题
  6. Combined-And-Conditional-Probability Aqa Higher
    3 主题
  7. Tree-Diagrams Aqa Higher
    1 主题
  8. Simple-Probability-Diagrams Aqa Higher
    3 主题
  9. Transformations Aqa Higher
    5 主题
  10. Vectors Aqa Higher
    6 主题
  11. 3D-Pythagoras-And-Trigonometry Aqa Higher
    1 主题
  12. Sine-Cosine-Rule-And-Area-Of-Triangles Aqa Higher
    4 主题
  13. Pythagoras-And-Trigonometry Aqa Higher
    4 主题
  14. Area-And-Volume-Of-Similar-Shapes Aqa Higher
    1 主题
  15. Congruence-Similarity-And-Geometrical-Proof Aqa Higher
    5 主题
  16. Volume-And-Surface-Area Aqa Higher
    3 主题
  17. Circles-Arcs-And-Sectors Aqa Higher
    2 主题
  18. Area-And-Perimeter Aqa Higher
    4 主题
  19. Circle-Theorems Aqa Higher
    7 主题
  20. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Higher
    5 主题
  21. Angles-In-Polygons-And-Parallel-Lines Aqa Higher
    3 主题
  22. Symmetry-And-Shapes Aqa Higher
    6 主题
  23. Exchange-Rates-And-Best-Buys Aqa Higher
    2 主题
  24. Standard-And-Compound-Units Aqa Higher
    5 主题
  25. Direct-And-Inverse-Proportion Aqa Higher
    2 主题
  26. Problem-Solving-With-Ratios Aqa Higher
    2 主题
  27. Ratios Aqa Higher
    3 主题
  28. Sequences Aqa Higher
    4 主题
  29. Transformations-Of-Graphs Aqa Higher
    2 主题
  30. Graphing-Inequalities Aqa Higher
    2 主题
  31. Solving-Inequalities Aqa Higher
    2 主题
  32. Real-Life-Graphs Aqa Higher
    4 主题
  33. Estimating-Gradients-And-Areas-Under-Graphs Aqa Higher
    2 主题
  34. Equation-Of-A-Circle Aqa Higher
    2 主题
  35. Functions Aqa Higher
    3 主题
  36. Forming-And-Solving-Equations Aqa Higher
    3 主题
  37. Graphs-Of-Functions Aqa Higher
    6 主题
  38. Linear-Graphs Aqa Higher
    4 主题
  39. Coordinate-Geometry Aqa Higher
    4 主题
  40. Iteration Aqa Higher
    1 主题
  41. Simultaneous-Equations Aqa Higher
    2 主题
  42. Quadratic-Equations Aqa Higher
    4 主题
  43. Linear-Equations Aqa Higher
    1 主题
  44. Algebraic-Proof Aqa Higher
    1 主题
  45. Rearranging-Formulas Aqa Higher
    2 主题
  46. Algebraic-Fractions Aqa Higher
    4 主题
  47. Completing-The-Square Aqa Higher
    1 主题
  48. Factorising Aqa Higher
    6 主题
  49. Expanding-Brackets Aqa Higher
    3 主题
  50. Algebraic-Roots-And-Indices Aqa Higher
    1 主题
  51. Using-A-Calculator Aqa Higher
    1 主题
  52. Surds Aqa Higher
    2 主题
  53. Rounding-Estimation-And-Bounds Aqa Higher
    2 主题
  54. Fractions-Decimals-And-Percentages Aqa Higher
    3 主题
  55. Introduction Aqa Higher
    7 主题
  56. Simple-And-Compound-Interest-Growth-And-Decay Aqa Higher
    4 主题
  57. Percentages Aqa Higher
    3 主题
  58. Fractions Aqa Higher
    4 主题
  59. Powers-Roots-And-Standard-Form Aqa Higher
    4 主题
  60. Prime-Factors-Hcf-And-Lcm Aqa Higher
    4 主题
  61. Number-Operations Aqa Higher
    10 主题
课 Progress
0% Complete

Exam code:8300

Bearings

What are bearings?

  • Bearings are a way of describing an angle

    • They are commonly used in navigation

  • There are three rules which must be followed when using a bearing:

    • They are measured from North

      • North is usually straight up on a scale drawing or map, and should be labelled on the diagram

    • They are measured clockwise

    • The angle should always be written with 3 digits

      • 059° instead of just 59°

  • Knowing the compass directions and their respective bearings can be helpful 

Compass direction bearings

How do I find a bearing between two points?

  • Identify where you need to start

    • “The bearing of A from B” means start at B and find the bearing to A

    • “The bearing of B from A” means start at A and find the bearing to B

  • Draw a North line at the starting point

  • Draw a line between the two points

  • Measure the angle between the North line and the line joining the points

    • Measure clockwise from North

  • Write the angle using 3 figures 

How do I draw a point on a bearing?

  • You might be asked to plot a point that is a given distance from another point and on a given bearing

  • STEP 1
    Draw a North line at the point you wish to measure the bearing from

    • If you are given the bearing from A to B draw the North line at A

  • STEP 2
    Measure the angle of the bearing given from the North line in the clockwise direction

  • STEP 3
    Draw a line and add the point B at the given distance

How do I find the bearing of B from A if I know the bearing of A from B?

  • If the bearing of A from B is less than 180°

    • Add 180° to it to find the bearing of B from A

  • If the bearing of A from B is more than 180°

    • Subtract 180° from it to find the bearing of B from A

How do I answer trickier questions involving bearings?

  • Bearings questions may involve the use of Pythagoras or trigonometry to find missing distances (lengths) and directions (angles)

    • You should always draw a diagram if there isn’t one given

Examiner Tips and Tricks

  • Make sure you have all the equipment you need for your maths exams

    • A rubber and pencil sharpener can be essential as these questions are all about accuracy

    • Make sure you can see and read the markings on your ruler and protractor

  • Always draw a big, clear diagram and annotate it, be especially careful to label the angles in the correct places!

Worked Example

A ship sets sail from the point P, as shown on the map below.

It sails on a bearing of 105° until it reaches the point Q, 70 km away. The ship then changes path and sails on a bearing of 065° for a further 35 km, where its journey finishes.

Show on the map below the point Q and the final position of the ship.

Bearings worked example question

Draw in a north line at the point P

Measure an angle of 105° clockwise from the north line

Making sure you are accurate, carefully make a small but visible mark on the map

Bearings worked example working 1

 

Draw a line from P through the mark you have made. Make this line long so that you can easily measure along it accurately

Bearings worked example working 2

Use the scale given on the map (1 cm = 10 km) to work out the number of cm that would represent 70 km

70 km = 70 ÷ 10 = 7 cm

Accurately measure 7 cm from the point P along the line and make a clear mark on the line
Label this point Q

Bearings worked example working 3

A bearing of 065 means 65° clockwise from the North

First, draw a North line at the point Q, then carefully measure an angle of 65° clockwise from this line. Make a mark and then draw a line from Q through this mark

Using the scale, find the distance in cm along the line you will need to measure. 

35 km = 35 ÷ 10 = 3.5 cm

Accurately measure 3.5 cm from the point Q along this new line and make a clear mark on the line 
This is the final position of the ship.

Bearings worked example working solution

Responses

您的邮箱地址不会被公开。 必填项已用 * 标注