Rearranging Formula: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on mastering the skill of rearranging the Cosine Rule formula to find angles. Designed for procedural practice and applying formulas effectively.
Worksheet Preview
Full preview • 11 questions
Rearranging Formula: Fluency & Practice
Subject: MathematicsGrade: Grade 7
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the sides of a triangle are a = 7 cm, b = 9 cm, and angle C is unknown. Rearrange the Cosine Rule to find cos C, then calculate cos C.
[3 marks]2.
Rearrange the Cosine Rule to solve for angle A when sides a = 8 cm, b = 6 cm, and side c = 10 cm. Then, calculate the value of angle A in degrees.
[4 marks]3.
The sides of a triangle are 5 cm, 9 cm, and 10 cm. Rearrange the Cosine Rule to find angle B, and compute its approximate value.
[4 marks]4.
If sides a = 12 cm, b = 15 cm, and the included angle C is 60°, rearrange the Cosine Rule to find side c.
[3 marks]5.
Rewrite the Cosine Rule to solve for side c given sides a and b and angle C. Then, use it to find side c when a = 6 cm, b = 8 cm, and cos C = 0.5.
[4 marks]6.
A triangle has sides 10 cm, 14 cm, and an angle C opposite the side of 14 cm. Rearrange the Cosine Rule to find cos C and determine the angle in degrees.
[4 marks]7.
A triangle has sides 8 cm, 6 cm, and 10 cm. Rearrange the Cosine Rule to find angle A and justify your rearrangement steps.
[5 marks]8.
Given sides 13 cm, 14 cm, and an unknown angle C, rearrange the Cosine Rule to find cos C, then calculate the angle in degrees. Explain your steps.
[5 marks]9.
A triangle has sides 7 cm, 9 cm, and 11 cm. Rearrange the Cosine Rule to find angle B, then determine its measure in degrees.
[4 marks]10.
Construct a triangle with sides 5 cm, 7 cm, and 9 cm on the grid. Using the rearranged Cosine Rule, find angle C in degrees.
[5 marks]11.
Identify the error in the following rearranged Cosine Rule expression for finding angle A: cos A = (b² + c² - a²) / (2bc). Is it correct? If not, correct it and justify your answer.
[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