Mastering Standard Form
Mathematics
GCSE Higher
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About This Worksheet
A worksheet covering Standard Form for GCSE Higher students. It includes basic procedures, reasoning questions, and real-world applications to deepen understanding.
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Mastering Standard Form
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concept: Numbers are written in the form a × 10^n, where 1 ≤ |a| < 10 and n is an integer. Use this to simplify calculations and solve problems.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Express 4500 in standard form.
[1 mark]2.
Write 3.2 × 10^−4 as a standard form number.
[1 mark]3.
Convert 0.00056 into standard form.
[1 mark]4.
Calculate: (2.5 × 10^4) + (3.2 × 10^3).
[3 marks]5.
Multiply: (6.7 × 10^2) × (3 × 10^3).
[3 marks]6.
Divide: (8.4 × 10^5) ÷ (2 × 10^2).
[3 marks]7.
If a number is written as 7.2 × 10^−3, what is its value in decimal form?
[2 marks]8.
Express 0.000045 in standard form.
[1 mark]9.
A scientist measures a sample's mass as 2.3 × 10^−6 kg. How many grams is this?
[4 marks]10.
A car's speed is 2.5 × 10^2 km/h. Write this in standard form and calculate its speed in m/s (1 km/h = 1000/3600 m/s).
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet