Evaluating: Challenge & Extension

Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A challenging worksheet focusing on evaluating expressions using index notation, designed for Year 9 students to deepen understanding through a variety of question types.

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Full preview • 12 questions

Evaluating: Challenge & Extension

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 3² × 3³.
[2 marks]
2.
Simplify the expression: 2⁴ ÷ 2².
[2 marks]
3.
Evaluate 5³ + 2³.
[2 marks]
4.
Express 16 as a power of 2.
[3 marks]
5.
Calculate the value of (2³)².
[2 marks]
6.
Simplify: (x⁵) / (x³).
[2 marks]
7.
Construct an expression with base 4 raised to a power, evaluated to 64. Write the expression.
[3 marks]
8.
If y = 2⁴ and z = 2³, what is y × z?
[2 marks]
9.
Evaluate the expression: 3⁴ ÷ 3² + 3¹.
[3 marks]
10.
Express 81 as a power of 3 and evaluate.
[3 marks]
11.
Identify and correct the mistake: Simplify 2⁵ × 2⁻³ = 2².
[3 marks]
12.
Challenge: Simplify (3²)³ × 3⁻⁴.
[4 marks]

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Details

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