Calculating: Challenge & Extension
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet designed to develop and extend students' skills in calculating bearings and related measurements. It includes procedural questions, real-world applications, and challenging extension problems.
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Calculating: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A ship is sailing on a bearing of 045°. If it changes course to a bearing of 135°, how many degrees has it turned?
[2 marks]2.
Calculate the bearing from point A to point B if A is at (0,0) and B is at (3,4).
[3 marks]3.
A plane is flying on a bearing of 230°. After some time, it adjusts its course to 310°. What is the change in bearing?
[2 marks]4.
Construct a triangle on the grid with sides of 5 cm, 7 cm, and 9 cm. Label the angles to show possible bearings between sides.
[4 marks]5.
A hiker walks from point X on a bearing of 060° to point Y, which is 8 km away. If the bearing from Y to Z is 150° and YZ is 5 km, what is the approximate bearing from X to Z?
[4 marks]6.
A lighthouse at point P bears 120° from a ship at point Q, and the distance PQ is 10 km. If the bearing from P to a second ship at point R is 200°, find the bearing from R to Q.
[3 marks]7.
A police car is at a crossroads and heads on a bearing of 330°. It then turns onto a bearing of 050°. How many degrees has the police car turned?
[2 marks]8.
Calculate the bearing from a point at (2,3) to a point at (8,7).
[3 marks]9.
Identify and correct the mistake: A student calculates the bearing from A to B as 180°, but the actual bearing is 045°. What is the common error?
[3 marks]10.
A boat travels from point M on a bearing of 090° for 6 km, then turns to a bearing of 160° for 4 km. What is the total change in bearing?
[2 marks]11.
Determine the bearing from point C(0,0) to point D(6,8) and explain your method.
[4 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet