Calculating: Fluency & Practice with Bearings (3-figure)

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet designed to develop procedural mastery and problem-solving skills in calculating bearings with three-figure notation for Grade 7 students.

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Calculating: Fluency & Practice with Bearings (3-figure)

Subject: MathematicsGrade: Grade 7
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A boat is heading at a bearing of 045° from a lighthouse. If the boat travels 10 km, what is its new position relative to the lighthouse?
[3 marks]
2.
Construct a triangle on the grid with sides 8 km, 6 km, and 10 km, where one angle is at a bearing of 120°. Show all steps.
[4 marks]
3.
Calculate the bearing from point A to point B if A is at (0,0) and B is at (3,4).
[2 marks]
4.
A plane flies at a bearing of 135° for 200 km. What are its approximate coordinates relative to its starting point?
[3 marks]
5.
A hiker walks from point X at a bearing of 030° for 5 km, then turns to a bearing of 200° for another 8 km. What is her approximate final position relative to point X?
[4 marks]
6.
Calculate the bearing from point P (2, 3) to point Q (6, 7).
[2 marks]
7.
A ship is sailing at a bearing of 330° and travels 15 km. What are its new coordinates if it starts at (0,0)?
[3 marks]
8.
A satellite orbits at a bearing of 060° from a ground station. If it moves 500 km along this bearing, determine its new position.
[4 marks]
9.
A cyclist starts at point M, bearing 090°, travels 12 km, then changes to a bearing of 150° for 9 km. Plot her path and find her final position.
[4 marks]
10.
Identify and correct the mistake: A student calculates the bearing from A(0,0) to B(4,3) by taking the tangent of 3/4, resulting in a bearing of 36°. Is this correct? Explain your reasoning.
[2 marks]
11.
Calculate the bearing from a point at (10, 10) to a point at (14, 18).
[2 marks]
12.
Challenge: A drone flies at a bearing of 210° for 50 km. Find its final position relative to the starting point.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet