NumberHigh Exam FrequencyAQAEdexcelOCRWJEC
Powers & Roots
Revise Powers & Roots in Number for GCSE Mathematics with 15 exam-style questions and 22 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.
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1Introduction2Key Facts3Key Facts4Key Facts5Deep Dive6Diagram7Notes8Notes9Notes10Notes11Deep Dive12Exam Tips13Exam Tips
The Power of Powers
Understanding Powers and Roots
Key Square Numbers (MUST KNOW!)
Key Cube Numbers
Method: Estimating Square Roots
Visual Understanding
Worked Example 1: Evaluating Powers
Worked Example 2: Finding Square Roots
Worked Example 3: Negative Bases
Worked Example 4: Estimating Roots
Higher Level: Fractional and Negative Indices
Common Mistakes to Avoid
Exam Tips
Sample Flashcards
Powers of 10
10¹ = 10
10² = 100
10³ = 1,000
10⁴ = 10,000
10⁵ = 100,000
10⁶ = 1,000,000
Pattern: n zeros after 1
Cubes: 1³ to 5³
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
Sample Questions
What is the value of 2⁻³?
Explain why x⁻¹ = 1/x
15
exam-style questions
22
revision flashcards
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