Back Bearings: Error Analysis & Misconceptions
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on Back Bearings, designed to address common misconceptions and reinforce understanding through error analysis and varied question types.
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Back Bearings: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Date:
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A compass bearing from point A to point B is 045°. What is the back bearing from B to A?
[2 marks]2.
If a bearing from point C to point D is 120°, what is the back bearing from D to C?
[2 marks]3.
Calculate the back bearing of a bearing 200°.
[3 marks]B
Problem Solving & Reasoning
Answer all questions step-by-step. Use the grid to illustrate if needed.
1.
A boat sails on a bearing of 330° from port A to port B. What is the back bearing from B to A? Explain your reasoning.
[4 marks]2.
A hiker travels on a bearing of 085°. She then turns around to travel back along the same line. What is her back bearing? Show all steps.
[4 marks]3.
Construct a triangle with sides such that one bearing is 060°, and its back bearing is correctly calculated. Describe your construction process.
[4 marks]C
Real-world Applications
Read the scenario and solve the problem. Show your working.
1.
A drone flies on a bearing of 150° from point X to point Y. If the operator wants to fly back directly along the same line, what should the drone's back bearing be? Explain how you determined this.
[4 marks]D
Challenge & Extension
Attempt these more difficult problems. Show detailed working.
1.
A ship travels on a bearing of 315°. It then makes a turn to travel on a back bearing. What is the new bearing, and explain the concept of back bearings in your answer.
[4 marks]2.
A surveyor records a bearing of 045° and then a back bearing. If the back bearing is incorrectly calculated as 225° when it should be 225°, identify the common mistake made and correct it.
[4 marks]E
Mixed Review
Answer all questions to consolidate your understanding of Back Bearings.
1.
Construct a diagram showing a bearing of 090° and its back bearing. Verify your construction.
[3 marks]2.
Plot a line with a bearing of 200° on the grid. Then draw the back bearing. Confirm your answer with calculations.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet