What this topic covers
Topic 1: Numbers and the Number System has 5 subtopics:
- Integers and Operations
- Fractions, Decimals and Percentages
- Powers, Roots and Standard Form
- Ratio and Proportion
- Accuracy, Estimation and Units
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IGCSE Edexcel Higher Maths · Topic 2 of 12
Topic 1: Numbers and the Number System – IGCSE Edexcel Higher Maths revision notes
Choose a subtopic. IGCSE Mathematics A Topic 1: Numbers and the Number System. 30 lessons in 5 subtopics.
Revise Topic 1: Numbers and the Number System for IGCSE Edexcel Higher Maths, including Integers and Operations and Fractions, Decimals and Percentages.
30
Lessons
5
Subtopics
Topic 1: Numbers and the Number System lessons by subtopic
30 lessons, grouped by subtopic.
Integers and Operations
- Ordering Numbers and Using Inequality Symbols
- Place Value and Number Size
- The Four Operations with Different Number Types
- Order of Operations (BIDMAS/BODMAS)
- Inverse Operations and Simplifying Calculations
- Common Factors and Multiples
- Prime Factorisation and Product Notation
- Prime Numbers, Factors and Multiples
Fractions, Decimals and Percentages
- Converting Between Terminating Decimals and Fractions
- Recurring Decimals as Fractions: Convert simple and more demanding recurring decimals into exact fractions using algebra and clear place-value reasoning.
- Understanding Fractions and Percentages as Operators
- Percentage Basics and Percentage of Amounts
- Comparing and Working with Percentages
- Percentage Change and Financial Applications
Powers, Roots and Standard Form
- Powers and Roots
- Laws of Indices and Fractional Powers
- Working with Indices and Roots
- Surds and Rationalising Denominators: Work with exact square-root expressions, simplify surds, and rationalise denominators without losing exactness.
- Calculating Exactly with Fractions
- Understanding and Calculating with Standard Form
Ratio and Proportion
- Simplifying and Interpreting Ratios
- Dividing Quantities Using Ratios
- Ratio in Real-World Contexts
- Expressing Multiplicative Relationships as Ratios and Fractions
- Understanding Proportion as Equality of Ratios
Accuracy, Estimation and Units
More in this course
Go back to the full IGCSE Edexcel Higher Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
What is Topic 1: Numbers and the Number System?
IGCSE Mathematics A Topic 1: Numbers and the Number System. 30 lessons in 5 subtopics.
What is a prime number?
A prime number is a positive integer greater than 1 with exactly two distinct factors: 1 and itself. The Prime Numbers, Factors and Multiples notes cover this in full.
How do you calculate percentage increase?
Find the increase, divide it by the original amount, then multiply by 100. The Percentage Basics and Percentage of Amounts notes cover this in full.
Is 1 a prime number?
1 is not a prime number. The Prime Factorisation and Product Notation notes cover this in full.
What is the percentage change formula?
Percentage change = change ÷ original value × 100, always dividing by the original value, not the new one. The Percentage Change and Financial Applications notes cover this in full.
How many kilometres is 20 miles?
20 miles is approximately 32 kilometres. The Ratio in Real-World Contexts notes cover this in full.
How do you find a percentage of an amount?
Convert the percentage to a decimal by dividing by 100, then multiply by the quantity. The Percentage Basics and Percentage of Amounts notes cover this in full.
How do you multiply fractions?
To multiply fractions, multiply across the top and across the bottom, with no need for a common denominator. The Calculating Exactly with Fractions notes cover this in full.
What is the formula for speed?
Speed = distance ÷ time, so distance = speed × time and time = distance ÷ speed. The Standard Units and Compound Measures notes cover this in full.