Measuring: Problem Solving & Reasoning

Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on measuring bearings (3-figure) through problem solving, reasoning, and real-world applications for Grade 7 students.

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Measuring: Problem Solving & Reasoning

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.
Calculate the bearing of point B from point A if A is due north of B and the angle measured clockwise from north is 045°.
[2 marks]
2.
Construct a triangle on the grid with sides measuring 4 cm, 6 cm, and 7 cm, and label the bearings from A to B and B to C.
[3 marks]
3.
A ship at point P observes a lighthouse at a bearing of 120° from P. If the lighthouse is directly east of P, what is the bearing from the lighthouse to P?
[2 marks]
4.
Calculate the bearing of point D from point C if C is due west of D and the bearing measured clockwise from north is 270°.
[2 marks]
5.
Plot the graph of y=2x for x values from 0 to 5 on the grid.
[2 marks]
6.
A vehicle travels from point X to point Y on a bearing of 135°. If the distance between X and Y is 8 km, what are the coordinates of Y if X is at (0,0)?
[3 marks]
7.
A hiker starts at point A and walks 5 km on a bearing of 060°. Then they turn and walk 3 km on a bearing of 150°. Calculate the total displacement from the starting point.
[4 marks]
8.
Identify and correct the mistake: A student measures a bearing as 195°, but the correct bearing should be 015°.
[2 marks]
9.
A plane flies from point P to Q on a bearing of 045°. If the distance is 100 km, what is the approximate change in north-south position?
[3 marks]
10.
Construct a triangle with sides 5 cm, 7 cm, and 9 cm on the grid. Then, determine and label the bearings from one vertex to the other two vertices.
[3 marks]
11.
A rescue team needs to locate a missing person. They know the person is 10 km away on a bearing of 330° from point R and also 8 km away on a bearing of 060° from point S. How can the team determine the position?
[4 marks]

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Details

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