Study guides

Norms

OCR·GCSE

This study guide provides a comprehensive overview of sociological norms for OCR GCSE students. It explores how norms regulate social life, their cultural relativity, and how they are enforced, providing essential knowledge to excel in your exams.

Notation, vocabulary and manipulation: •• use and interpret algebraic notation, including: •• ab in place of a × b •• 3y in place of y + y + y and 3× y •• a² in place of a × a, a³ in place of a × a × a, a²b in place of a × a × b •• a/b in place of a ÷ b •• coefficients written as fractions rather than as decimals •• brackets

AQA·GCSE

8300

Notation, vocabulary and manipulation: interpret the reverse process as the ‘inverse function’ interpret the succession of two functions as a ‘composite function’ (Higher tier only)

AQA·GCSE

8300

Notation, vocabulary and manipulation: know the difference between an equation and an identity argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments

AQA·GCSE

8300

Notation, vocabulary and manipulation: simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by: •• expanding products of two or more binomials •• factorising quadratic expressions of the form ax² + bx + c (Higher content only)

AQA·GCSE

8300

Notation, vocabulary and manipulation: simplify and manipulate algebraic expressions (including those involving surds) by: •• expanding products of two binomials •• factorising quadratic expressions of the form x² + bx + c, including the difference of two squares

AQA·GCSE

8300

Notation, vocabulary and manipulation: simplify and manipulate algebraic expressions by: •• collecting like terms •• multiplying a single term over a bracket •• taking out common factors •• simplifying expressions involving sums, products and powers, including the laws of indices

AQA·GCSE

8300

Notation, vocabulary and manipulation: substitute numerical values into formulae and expressions, including scientific formulae

AQA·GCSE

8300

Notation, vocabulary and manipulation: to include identities

AQA·GCSE

8300

Notation, vocabulary and manipulation: understand and use standard mathematical formulae rearrange formulae to change the subject

AQA·GCSE

8300

Notation, vocabulary and manipulation: understand and use the concepts and vocabulary of expressions, equations, formulae, inequalities, terms and factors

AQA·GCSE

8300

Notation, vocabulary and manipulation: where appropriate, interpret simple expressions as functions with inputs and outputs

AQA·GCSE

8300

Nuclear and Particle Physics

Pearson Edexcel·A-Level

Master the fundamental building blocks of the universe and how we study them. This topic connects the microscopic world of quarks and leptons with the macroscopic technologies of particle accelerators, essential for securing top marks in your Physics exam.

Nuclear and Particle Physics

OCR·A-Level

Master OCR A-Level Physics Module 6.4: Nuclear and Particle Physics. This guide deconstructs the Standard Model, radioactive decay, and binding energy, providing examiner insights and multi-modal resources to help you secure top marks on complex quantitative and qualitative questions.

Nuclear Decay and Particles

WJEC·A-Level

Unlock top marks in WJEC A-Level Physics by mastering the fundamental forces that govern the universe. This guide breaks down the complex world of nuclear decay, particle physics, and exponential change into clear, exam-focused concepts, complete with worked examples and examiner insights.

Nuclear Fission

OCR·GCSE

This guide provides a comprehensive overview of Nuclear Fission (OCR GCSE Physics 7.8), focusing on the core principles of chain reactions, reactor components, and balancing nuclear equations. It is designed to build confidence and help students secure maximum marks in their exams."

Nuclear Fusion

OCR·GCSE

This guide provides a comprehensive, exam-focused breakdown of Nuclear Fusion (OCR GCSE Physics 7.9). It covers the fundamental process, the extreme conditions required, and the critical differences between fusion and fission, all tailored to help you secure maximum marks.

Nuclear Power

OCR·GCSE

This guide provides a comprehensive overview of Nuclear Power for OCR GCSE Physics (5.8), focusing on the core concepts of fission and fusion. It is designed to help students master the key principles, avoid common mistakes, and excel in their exams by providing detailed explanations, worked examples, and multi-modal learning aids.

Number

Pearson Edexcel·GCSE

601/4700/3

Mastering fractions, decimals, and percentages is the foundation of GCSE Mathematics. This topic unlocks marks across the entire specification, teaching you how to fluently convert between forms and apply the powerful multiplier method to solve percentage change problems quickly and accurately.

Number

Pearson Edexcel·GCSE

1MA1

Master the foundation of mathematics with our comprehensive guide to Number. From BODMAS and prime factors to standard form and surds, secure the essential skills that underpin the entire GCSE specification.

Number

AQA·GCSE

8300

Master the fundamentals of Number, the bedrock of the GCSE Maths specification. From fraction conversions to index laws and prime factorisation, this topic is essential for securing marks across all three papers.

Number

Eduqas·GCSE

WJEC-GCSE-Mathematics

The Number topic is the foundational bedrock of GCSE Mathematics, covering everything from basic arithmetic and prime factorisation to standard form and surds. Mastering this topic is essential because it not only secures significant marks in its own right, but also underpins every other area of the specification, from algebra to statistics.

Number - Fractions, decimals and percentages: identify and work with fractions in ratio problems

Pearson Edexcel·GCSE

1MA1

A ratio such as 3:5 can mean 3/8 of the whole or 3/5 of another share: the comparison decides the denominator. Master that distinction, then use one equal part to solve known-total, known-share and difference problems while showing the working that can earn exam marks.

Number - Fractions, decimals and percentages: interpret fractions and percentages as operators

Pearson Edexcel·GCSE

1MA1

Number - Fractions, decimals and percentages: work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8) (Foundation tier)

Pearson Edexcel·GCSE

1MA1

Number - Fractions, decimals and percentages: work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8); change recurring decimals into their corresponding fractions and vice versa (Higher tier)

Pearson Edexcel·GCSE

1MA1

Turn an endless decimal into an exact fraction by making its repeating tail disappear. This Higher-tier guide builds from 0.375 = 3/8 to delayed repeats and examiner-quality proofs, with worked solutions, a ten-minute tutor podcast and questions that test what you can recall.

Number - Measures and accuracy: apply and interpret limits of accuracy (Foundation tier)

Pearson Edexcel·GCSE

1MA1

Limits of accuracy reveal the possible true values hidden behind a rounded measurement. Learn to find the half-unit interval, include the lower endpoint, exclude the upper endpoint, and explain what those limits mean in context. The Foundation core is clearly distinguished from the requested box-fitting enrichment.

Number - Measures and accuracy: apply and interpret limits of accuracy, including upper and lower bounds (Higher tier)

Pearson Edexcel·GCSE

1MA1

Number - Measures and accuracy: estimate answers; check calculations using approximation and estimation, including answers obtained using technology

Pearson Edexcel·GCSE

1MA1

Spot a calculator slip before it costs you marks: turn awkward numbers into a calculation you can check in your head. This Pearson Edexcel GCSE guide teaches input rounding, sensible estimates and justified overestimates or underestimates, with original exam-style questions, diagrams and a ten-minute female-tutor podcast.

Number - Measures and accuracy: round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures); use inequality notation to specify simple error intervals due to truncation or rounding

Pearson Edexcel·GCSE

1MA1