What this topic covers
Number has 3 subtopics:
- Structure and calculation
- Fractions, decimals and percentages
- Measures and accuracy
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GCSE AQA Higher Maths · Topic 1 of 6
Number – GCSE AQA Higher Maths revision notes
Choose a subtopic. Number covers Structure and calculation, Fractions, decimals and percentages, and Measures and accuracy in GCSE AQA Higher Maths. 22 lessons in 3 subtopics.
Revise Number for GCSE AQA Higher Maths, including Structure and calculation and Fractions, decimals and percentages. 22 lessons across 3 subtopics.
22
Lessons
3
Subtopics
Number lessons by subtopic
22 lessons, grouped by subtopic.
Structure and calculation
- Ordering Numbers and Using Inequality Symbols: Learn to order positive and negative integers, decimals and fractions, and use mathematical symbols to compare numbers including =, ≠, , ≤, ≥
- Place Value and Number Size: Read, compare, and order whole numbers and decimals using place value, digit value, and powers of ten.
- The Four Operations with Different Number Types: Learn to apply addition, subtraction, multiplication and division to integers, decimals, fractions (proper, improper and mixed numbers) using formal written methods. Work with both positive and negative numbers across all operations.
- Order of Operations (BIDMAS/BODMAS): Master the conventional notation for priority of operations, including brackets, powers, roots and reciprocals using BIDMAS/BODMAS rules.
- Inverse Operations and Simplifying Calculations: Learn to recognise and use relationships between operations, including inverse operations to cancel and simplify calculations and expressions.
- Common Factors and Multiples: Discover how to find common factors and common multiples of two or more numbers. Learn to calculate the highest common factor (HCF) and lowest common multiple (LCM) using different methods.
- Prime Factorisation and Product Notation: Master the technique of prime factorisation to express any number as a product of prime factors. Learn to use product notation and understand the unique factorisation theorem.
- Prime Numbers, Factors and Multiples: Explore the fundamental concepts of prime numbers, factors, and multiples. Learn to identify prime numbers, find factors and multiples of numbers, and understand the relationships between them.
- Systematic Listing Strategies: Apply systematic listing strategies to generate all possible outcomes without repetition or omission; Use systematic listing to find all combinations and arrangements of a set of items; Identify the total number of outcomes from a systematic list
- Powers and Roots: Learn to use positive integer powers and their associated real roots including square, cube and higher roots. Recognise and work with powers of 2, 3, 4, and 5.
- Laws of Indices and Fractional Powers: Apply the laws of indices to integer, zero, negative, and fractional powers and simplify harder index expressions accurately.
- Working with Indices and Roots: Learn to calculate with roots and integer indices, covering basic operations and key mathematical concepts
- Calculating Exactly with Fractions: Learn to perform exact calculations with fractions including addition, subtraction, multiplication and division. Master techniques for working with proper fractions, improper fractions and mixed numbers to achieve precise results.
- Understanding and Calculating with Standard Form: Learn what standard form is, how to convert numbers to and from standard form, and how to perform calculations with numbers in standard form including multiplication, division, addition and subtraction.
Fractions, decimals and percentages
- Converting Between Terminating Decimals and Fractions: Learn to convert between terminating decimals and their equivalent fractions, working with examples like 3.5 and 7/2, or 0.375 and 3/8. Practice both directions of conversion and understand the relationship between decimal places and denominators.
- Fractions in Ratio Problems: Learn to identify and work with fractions when solving ratio problems, including converting between different forms and applying fractional reasoning to ratio calculations.
- Understanding Fractions and Percentages as Operators: Learn how fractions and percentages can be used as operators to perform calculations, including finding parts of quantities and applying multiplicative operations.
Measures and accuracy
- Standard Units and Compound Measures: Learn to use standard units of mass, length, time, money and other measures including compound measures with decimal quantities
- Estimating and Checking Calculations: Learn how to estimate answers to calculations and check the accuracy of your results using approximation and estimation techniques, including when using calculators and technology.
- Rounding Numbers and Measures: Learn to round numbers and measures to an appropriate degree of accuracy, including rounding to a specified number of decimal places or significant figures
- Understanding Accuracy and Measurement: Learn about different levels of accuracy in measurements and how to interpret the precision of given values.
- Limits of Accuracy and Upper and Lower Bounds: Apply and interpret limits of accuracy by finding upper and lower bounds for measurements and rounded values.
Revise Right Mocks '26
AQA GCSE Maths mock draft, 26–31 Oct. Draft coverage: Maths Paper 1 (Higher tier). Reviewed for an original-practice sitting; check student availability before registering. Marking and results will follow later, after separate approval. Eligible new accounts receive a five-day Pro trial when signup email verification completes. Previous trials keep their original expiry. After expiry, new papers need Pro unless you have an explicitly confirmed free sitting offer for this event. That offer adds no Pro time or AI learning. Saved attempts and released results remain readable. No card or automatic charge.
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Frequently asked questions
What is Number?
Number covers Structure and calculation, Fractions, decimals and percentages, and Measures and accuracy in GCSE AQA Higher Maths. 22 lessons in 3 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.
Is 1 a prime number?
1 is not a prime number. The Prime Factorisation and Product Notation 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.
What does the less than or equal to symbol mean?
The symbol ≤ means less than or equal to, and ≥ means more than or equal to. The Ordering Numbers and Using Inequality Symbols notes cover this in full.
What does the greater than or equal to symbol mean?
The ≥ symbol means a value is bigger than or the same as another. The Ordering Numbers and Using Inequality Symbols notes cover this in full.
How do you find the LCM using prime factorisation?
To find the LCM using prime factorisation, take the highest power of each prime that appears in any of the numbers and multiply them. The Common Factors and Multiples notes cover this in full.
How do you find the HCF using prime factorisation?
To find the HCF using prime factorisation, write both numbers as products of primes and multiply the lowest power of each common prime. The Common Factors and Multiples notes cover this in full.