Evaluating: Mixed Review

Mathematics
Year 9
17 questions
~34 mins
1 views0 downloads

About This Worksheet

A worksheet reviewing the evaluation of expressions involving index notation, designed for Year 9 students to strengthen procedural skills and apply concepts in various contexts.

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Full preview • 17 questions

Evaluating: Mixed Review

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 3^4.
[1 mark]
2.
Evaluate 2^3 × 2^4.
[2 marks]
3.
Simplify the expression: 5^0.
[1 mark]
4.
What is the value of 10^3?
[1 mark]
B

Fluency & Practice

Answer all questions carefully, showing your working.
1.
Evaluate 4^3.
[1 mark]
2.
Simplify 2^5 ÷ 2^2.
[2 marks]
3.
Calculate 7^2.
[1 mark]
C

Problem Solving & Reasoning

Show detailed working and explanations where required.
1.
Evaluate the expression: (2^3 × 2^2) + 2^4.
[3 marks]
2.
Explain why 5^2 × 5^3 equals 5^5.
[2 marks]
D

Real-world Applications

Use the grid to represent your answers where applicable.
1.
A bacteria colony doubles in size every hour. If it starts with 2 bacteria, how many bacteria are there after 4 hours? Use powers to calculate.
[3 marks]
2.
A computer processor has a power rating of 2^10 watts. Express this value and explain its significance.
[2 marks]
E

Challenge & Extension

Attempt these challenging questions to extend your understanding.
1.
If 3^x = 81, find the value of x.
[2 marks]
2.
Evaluate (2^3)^4 and express your answer as a single power of 2.
[3 marks]
F

Mixed Review

Answer each question. Use the grid for calculations if needed.
1.
Calculate 10^2 × 10^3.
[1 mark]
2.
Evaluate 7^0 and explain why the answer is always 1.
[2 marks]
3.
What is the value of (2^4) × (2^3)?
[1 mark]
G

Error Analysis

Review the following common mistake and identify the error. Correct the mistake in your answer.
1.
A student evaluates 2^3 × 2^2 as 2^5, but writes the answer as 32. Identify and correct the mistake.
[2 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