Exact Values: Challenge & Extension
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and understanding exact values of cube roots, including procedural questions, reasoning, real-world applications, and challenge problems for extension.
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Full preview • 11 questions
Exact Values: Challenge & Extension
Subject: MathematicsGrade: Grade 8
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Date:
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the exact value of the cube root of 8.
[2 marks]2.
Find the cube root of 125.
[2 marks]3.
Evaluate the cube root of 1.
[1 mark]4.
Determine the cube root of 1000.
[2 marks]5.
Estimate the cube root of 50, and explain whether it is closer to 3 or 4.
[3 marks]6.
Explain why the cube root of 64 is a perfect cube root, and identify the value.
[3 marks]7.
Construct a cube with a side length of 3 units on the grid. What is its volume? Show your reasoning.
[4 marks]8.
On the grid, plot the point corresponding to the cube root of 125 and justify your choice.
[3 marks]9.
Solve for x: x^3 = 512. Show your working.
[3 marks]10.
Identify and correct the mistake: 'The cube root of 216 is 12 because 12^3=1728.'
[4 marks]11.
Challenge: Find a number whose cube root is exactly 2.5, and explain your method.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet