Evaluating: Problem Solving & Reasoning
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on evaluating expressions involving index notation, designed to develop problem-solving and reasoning skills for GCSE Higher students.
Worksheet Preview
Full preview • 12 questions
Evaluating: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 3² × 2³.
[2 marks]2.
Simplify the expression (x³)⁴.
[2 marks]3.
Evaluate 5⁰.
[1 mark]4.
Express 16 as a power of 2.
[2 marks]5.
Calculate 2⁴ × 2³.
[2 marks]6.
Simplify the expression (x²)(x³)(x⁴).
[3 marks]7.
Solve for x: 2ⁿ = 16.
[2 marks]8.
A population doubles every year. If the initial population is 1,000, write an expression for the population after n years.
[3 marks]9.
Evaluate the expression 3⁴ ÷ 3².
[2 marks]10.
Construct a triangle on the grid with sides of length 3² and 2³, with the third side to be determined.
[4 marks]11.
Calculate (2⁵) + (3³).
[2 marks]12.
Identify and correct the mistake in evaluating 2³ × 2⁴ as 2⁶.
[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