a/sinA = b/sinB: Mixed Review
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing the Sine Rule formula a/sinA = b/sinB, including calculations, problem solving, and real-world applications for Grade 7 students.
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a/sinA = b/sinB: Mixed Review
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 length of side a in a triangle where side b = 10 cm, angle A = 30°, and angle B = 45° using the sine rule.
[3 marks]2.
In a triangle, side a = 8 cm, side b = 12 cm, and angle A = 40°. Find angle B using the sine rule.
[3 marks]3.
A triangle has sides a = 7 cm, b = 9 cm, and angle A = 60°. Calculate angle B.
[3 marks]4.
Construct a triangle where side a = 6 cm, side b = 10 cm, and angle A = 50°. Use the sine rule to find side c.
[4 marks]5.
A boat sails from point A to point B, 15 km apart. The angle at A is 35°, and at B is 60°. Find the direct distance between the points using the sine rule.
[4 marks]6.
A triangle has sides a = 9 cm, c = 14 cm, and angle C = 45°. Calculate side b.
[3 marks]7.
Using the sine rule, find the missing angle B given sides a = 11 cm, b = 15 cm, and angle A = 40°.
[3 marks]8.
A surveyor measures a triangle where sides a = 20 m, b = 25 m, and angle A = 55°. Find angle B.
[4 marks]9.
Identify and correct the mistake in the following solution: Given a = 8, b = 10, and angle A = 30°, the student calculates side a as 9.2 cm using the sine rule.
[4 marks]10.
Challenge: Derive the formula for the sine rule starting from the Law of Cosines for a non-right triangle.
[4 marks]11.
A triangle has sides a = 13 cm, b = 14 cm, and angle A = 70°. Calculate side c using the sine rule.
[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)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet