Grid references and bearings — KCSE Geography

KCSE Geography · 106 practice questions · 12 syllabus objectives · 12 revision lessons

36 easy35 medium35 hard

Last updated · Aligned to the KNEC KCSE syllabus

What You'll Learn

Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.

Define key direction terms (bearing, true bearing, magnetic bearing) and identify factors for accurate direction-giving

Give the four-figure and six-figure grid references for points on a topographic map

Measure and state compass bearings (three-figure bearings from 000° to 360°) between two points on a map

Draw a sketch map showing the location of features using given grid references and bearings

Convert between compass directions (8/16-point) and three-figure bearings (000°-360°)

Calculate forward bearings, back bearings, and apply the back-bearing rule (back bearing = forward ± 180°)

Solve triangle bearing problems using stated distances and bearings to determine unknown bearings and distances

Explain the structure of four-figure and six-figure grid references, including the use of eastings and northings

Convert between representative fraction and statement scale, and calculate ground distances from map distances

Calculate the area of features on topographic maps using the full + part squares method

Describe the procedures for measuring straight-line and curved (winding) distances on topographic maps

Grid references and bearings

Revision Notes

Concise lesson notes for Grid references and bearings, written to the KCSE Geography marking standard. Read the first lesson free below.

Understanding Bearings and Directions

In geography, understanding direction is crucial for navigation. Here are key terms:

  • Bearing: The angle between a reference direction (usually north) and the line to a point, measured in degrees.
  • True Bearing: The angle measured clockwise from true north (0°) to the line connecting the observer to the point. For example, a true bearing of 90° indicates east.
  • Magnetic Bearing: The angle measured clockwise from magnetic north, which may differ from true north due to magnetic declination.

Factors for Accurate Direction-Giving:

  • Use of Compass: Ensure the compass is level and away from metal objects to avoid interference.
  • Magnetic Declination: Account for the difference between true north and magnetic north in your calculations.
  • Clear Landmarks: Identify prominent features in the landscape to confirm directions visually.

By mastering these concepts, you can give precise directions and navigate effectively.

Key points to remember

  • Bearing is measured in degrees from a reference direction.
  • True bearing uses true north as a reference point.
  • Magnetic bearing uses magnetic north, affected by declination.
  • Compasses must be used correctly for accurate readings.
  • Clear landmarks aid in confirming directions visually.

Worked example

Define true bearing and give an example.

  • True bearing is the angle from true north to a point.
  • Example: A true bearing of 180° indicates south.

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More lessons in this topic

Lesson 2: Understanding Grid References on Maps

Objective: Give the four-figure and six-figure grid references for points on a topographic map

Grid references help in accurately locating points on a topographic map. A four-figure grid reference identifies a specific square on the map, while a six-figure grid reference pinpoints an exact location within that square.

To determine a four-figure grid reference:

  1. Identify the grid square by locating the vertical (eastings) and horizontal (northings) lines.
  2. Combine the numbers of the eastings and northings. For example, if the point is in the square between eastings 34 and 35, and northings 12 and 13, the four-figure grid reference is 3412.

For a six-figure grid reference:

  1. Use the four-figure reference as a base.
  2. Estimate the distance within the square to the nearest tenth of the eastings and northings.
  3. If the point is approximately 0.3 east and 0.7 north within the square, the six-figure reference becomes 341273.

In summary:

  • Four-figure: General location in a grid square.
  • Six-figure: Precise location within that square.
  • Four-figure references identify a grid square.
  • Six-figure references indicate a specific point.
  • Eastings are read first, followed by northings.
  • Estimate tenths for six-figure accuracy.

Question: What is the six-figure grid reference for a point in square 4512, 0.5 east and 0.2 north? Answer: The six-figure grid reference is 451202.

Lesson 3: Understanding Compass Bearings

Objective: Measure and state compass bearings (three-figure bearings from 000° to 360°) between two points on a map

To measure and state compass bearings between two points on a map, follow these steps:

  1. Identify the two points: Locate the points you want to measure the bearing between.
  2. Use a protractor: Place the protractor on the map so that the center is on the starting point.
  3. Align the baseline: Ensure the baseline of the protractor is aligned with the north direction on the map.
  4. Measure the angle: Look at the angle formed between the north line and the line connecting the two points. This angle is your bearing.
  5. State the bearing: Always express the bearing in three figures, adding zeros if necessary. For example, a bearing of 45° should be stated as 045°.

Example: If Point A is located at 120° and Point B is at 300°, the bearing from A to B is measured as follows:

  • Place the protractor at Point A.
  • Measure the angle to Point B.
  • If the angle is 300°, state it as 300°.

Remember, bearings are always measured clockwise from north.

  • Identify starting and ending points on the map.
  • Use a protractor to measure the angle accurately.
  • Align the protractor's baseline with north direction.
  • State bearings in three figures (e.g., 045°).
  • Measure angles clockwise from the north line.

If Point X is at 045° and Point Y is at 225°, the bearing from X to Y is 225°.

Lesson 4: Sketch Maps and Grid References

Objective: Draw a sketch map showing the location of features using given grid references and bearings

To effectively draw a sketch map using grid references and bearings, follow these steps:

  1. Understand Grid References: Grid references are composed of two numbers, indicating the eastings and northings. For example, a reference of (123, 456) means move 123 units east and 456 units north.

  2. Identify Bearings: Bearings are angles measured clockwise from the north. For instance, a bearing of 045° indicates a direction northeast.

  3. Sketching the Map:

    • Start by marking the grid reference on the map.
    • Use a protractor to measure the bearing from the grid reference point.
    • Draw lines to indicate the direction of features based on the bearings provided.
    • Label each feature clearly for easy identification.
  4. Include Key Features: Ensure your sketch map includes essential features such as roads, rivers, or landmarks, as indicated by the grid references.

Remember, clarity and accuracy are key in sketch mapping. Practice drawing maps regularly to improve your skills and confidence.

  • Grid references indicate position using eastings and northings.
  • Bearings are angles measured clockwise from north.
  • Use a protractor for accurate bearing measurement.
  • Label features clearly on your sketch map.
  • Practice regularly to enhance map-drawing skills.

Question: Draw a sketch map showing a school at grid reference (234, 567) and a park at a bearing of 090°. Answer: - Mark (234, 567) on the map as the school.

  • Use a protractor to draw a line 90° east to locate the park.

Sample Questions

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1
easySHORT ANSWER2 marks

State the difference between the easting and northing values in a six-figure grid reference. (2 marks)

Answer & marking scheme

Part (a) — 2 marks
Easting values indicate the horizontal distance from the origin of the grid eastwards. (1 mk)
Northing values indicate the vertical distance from the origin of the grid northwards. (1 mk)
2
easySHORT ANSWER4 marks

A boat travels from point A to point B on a bearing of 120°. If point B is 15 km from point A and point C is located 10 km from point B on a bearing of 200°, calculate the bearing from point A to point C. (4 marks)

Answer & marking scheme

Part (a) — 4 marks
Identify the bearing from A to B as 120° (1 mk)
Recognise that the bearing from B to C is 200° (1 mk)
Calculate the angle between the two bearings: 200° - 120° = 80° (1 mk)
Determine the bearing from A to C as 120° + 80° = 200° (1 mk)
3
easySHORT ANSWER4 marks

A navigational officer records the bearing from point A to point B as 120°. (a) Calculate the back bearing from point B to point A. (2 marks) (b) If point C is located on a bearing of 300° from point A, state the bearing of point C from point B. (2 marks)

Answer & marking scheme

Part (a) — 2 marks
Back bearing = 120° + 180° = 300° (1 mk)
Alternatively, back bearing can also be calculated as 120° - 180° = 300° (when exceeding 360°, adjust accordingly) (1 mk)
Part (b) — 2 marks
Bearing of point C from point B = 300° - 120° = 180° (1 mk)
Therefore, the bearing of point C from point B is 180° (1 mk)
4

Name the steps you would take to find the grid reference of a feature located at a distance of 5 km east from a point at grid reference 1234 5678. (3 marks)

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Frequently asked questions

What does the KCSE Geography topic "Grid references and bearings" cover?

Grid references and bearings covers Define key direction terms (bearing, true bearing, magnetic bearing) and identify factors for accurate direction-giving; Give the four-figure and six-figure grid references for points on a topographic map; Measure and state compass bearings (three-figure bearings from 000° to 360°) between two points on a map, and more, all aligned to the official KNEC KCSE Geography syllabus.

How many practice questions are available for Grid references and bearings?

HighMarks has 106 Grid references and bearings practice questions for KCSE Geography, each with a full marking scheme. The first 3 are free; sign up to access the rest, plus all KCSE mock exams and past papers.

Are these aligned with the KNEC KCSE syllabus?

Yes. Every objective on this page is taken directly from the official KNEC KCSE Geography syllabus. Practice questions match the KCSE exam format and are graded against the standard KNEC marking scheme.

How should I revise Grid references and bearings for the KCSE exam?

Start with the revision notes on this page to refresh the core concepts, then work through the practice questions in increasing difficulty. Sign up for HighMarks to get a personalised study plan that adapts to the topics you keep getting wrong, plus mock exams, subject-wide practice, and detailed performance tracking. See pricing.

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