GCSE Maths / Edexcel

Number and Place Value revision

Powers, standard form, rounding, bounds, and calculation fluency that often set up later marks.

Students lose easy marks here when arithmetic technique is shaky before the harder reasoning even begins.

Paper focus: Foundation and Higher warm-up marks. Tiers: Foundation and Higher.

Revision hint

Keep a short bank of standard-form, bounds, and calculator-free number questions in rotation.

Typical exam signals

standard formupper boundestimaterecurring decimals

Best next tool

Start with Place value and ordering numbers, then use the app tools to practise, upload an answer, or ask for an explanation.

Open notes and exam questions
Available now

Learn the method, then practise it.

Each revision note is built as a short lesson with theory, worked examples, quick exercises, and exam-style questions with marking guidance.

Foundation / Grades 1 to 4

Place value and ordering numbers

Read whole numbers correctly, understand the value of each digit, compare numbers, and put numbers in ascending or descending order.

Pearson Edexcel GCSE Maths number: order positive integers, use place value, and interpret numbers in context.

Open full lesson

Foundation / Grades 1 to 4

Ordering decimals

Compare decimal numbers using place value, line up decimal points, add placeholder zeros, and order decimals correctly.

Pearson Edexcel GCSE Maths number: order decimals and use decimal place value accurately.

Open full lesson

Foundation / Grades 1 to 4

Four operations with integers

Add, subtract, multiply, and divide whole numbers accurately, choosing a reliable written method when mental methods are not enough.

Pearson Edexcel GCSE Maths number: use the four operations with integers and apply arithmetic fluently.

Open full lesson

Foundation / Grades 2 to 5

BIDMAS and order of operations

Use BIDMAS to decide the correct order in a calculation, including brackets, indices, multiplication, division, addition, and subtraction.

Pearson Edexcel GCSE Maths number: apply the correct order of operations, including brackets and powers.

Open full lesson

Foundation / Grades 1 to 5

Negative numbers

Understand negative numbers on a number line and calculate with negative values using reliable sign rules.

Pearson Edexcel GCSE Maths number: order and calculate with positive and negative integers.

Open full lesson

Foundation and Higher / Grades 4 to 7

Standard form

Write very large and very small numbers in standard form, convert back to ordinary numbers, and calculate with powers of 10.

Pearson Edexcel GCSE Maths number: use standard form A x 10ⁿ where 1 <= A < 10 and n is an integer.

Open full lesson

Foundation and Higher / Grades 4 to 8

Index laws

Use index laws to simplify powers, calculate with negative powers, and connect powers of 10 to standard form.

Pearson Edexcel GCSE Maths number: calculate with powers, roots, integer indices, and powers of 10.

Open full lesson

Foundation and Higher / Grades 3 to 7

Rounding, estimation, and bounds overview

Recognise which rounding instruction a question is using, then choose the right focused lesson for practice.

Pearson Edexcel GCSE Maths number: round numbers, estimate answers, and use limits of accuracy.

Open full lesson

Foundation and Higher / Grades 2 to 5

Rounding to the nearest 10, 100, and 1000

Round whole numbers to a named place value by identifying the place, checking the next digit, and writing the rounded number correctly.

Pearson Edexcel GCSE Maths number: round numbers to an appropriate degree of accuracy.

Open full lesson

Foundation and Higher / Grades 3 to 6

Rounding to decimal places

Round decimals to a given number of decimal places by counting digits after the decimal point.

Pearson Edexcel GCSE Maths number: round decimals to a required accuracy.

Open full lesson

Foundation and Higher / Grades 4 to 7

Rounding to significant figures

Round numbers to a given number of significant figures by counting important digits from the first non-zero digit.

Pearson Edexcel GCSE Maths number: round to significant figures and use appropriate accuracy.

Open full lesson

Foundation and Higher / Grades 3 to 6

Estimation

Round values to easy numbers before calculating so you can estimate answers and check reasonableness.

Pearson Edexcel GCSE Maths number: estimate answers and check calculations using approximation.

Open full lesson

Foundation and Higher / Grades 5 to 7

Bounds and error intervals

Find lower and upper bounds from rounded values, write error intervals, and use bounds in calculations.

Pearson Edexcel GCSE Maths number: use limits of accuracy and error intervals.

Open full lesson

Foundation and Higher / Grades 3 to 7

Fractions, decimals, and percentages overview

Recognise which FDP skill a question is testing, then choose the right focused lesson for practice.

Pearson Edexcel GCSE Maths number: use fractions, decimals, percentages, ratio, and proportional reasoning fluently.

Open full lesson

Foundation and Higher / Grades 2 to 5

Simplifying and equivalent fractions

Simplify fractions by dividing the numerator and denominator by the same factor, and create equivalent fractions by multiplying both parts by the same number.

Pearson Edexcel GCSE Maths number: use equivalent fractions and simplify fractions.

Open full lesson

Foundation and Higher / Grades 3 to 5

Fractions of amounts

Find a fraction of an amount by dividing by the denominator and multiplying by the numerator.

Pearson Edexcel GCSE Maths number: calculate exactly with fractions and use fractions of quantities.

Open full lesson

Foundation and Higher / Grades 3 to 6

Converting fractions, decimals, and percentages

Convert between fractions, decimals, and percentages, including common equivalences and fractions out of 100.

Pearson Edexcel GCSE Maths number: interchange between fractions, decimals, and percentages.

Open full lesson

Foundation and Higher / Grades 3 to 5

Percentages of amounts

Find a percentage of an amount using simple percentages or by converting the percentage to a decimal.

Pearson Edexcel GCSE Maths number: calculate percentages of quantities.

Open full lesson

Foundation and Higher / Grades 4 to 6

Percentage increase and decrease

Increase or decrease an amount by a percentage using percentage multipliers or by finding the percentage change first.

Pearson Edexcel GCSE Maths number: solve percentage increase and decrease problems.

Open full lesson

Foundation and Higher / Grades 5 to 7

Reverse percentages

Find the original value when the final value after a percentage increase or decrease is given.

Pearson Edexcel GCSE Maths number: solve reverse percentage problems using multipliers.

Open full lesson

Higher / Grades 6 to 8

Recurring decimals to fractions

Convert recurring decimals into fractions by setting up equations and subtracting to remove the recurring part.

Pearson Edexcel GCSE Maths number: change recurring decimals into their corresponding fractions.

Open full lesson
Planned lesson map

Mapped before the next notes are written.

These planned lessons keep the curriculum granular, Foundation-first, and ready to cross-reference with the wider Edexcel skill index as notes are added.

Integers and calculations
Foundation priorityFoundation

Multiples and factors

Find factors, multiples, common factors, and common multiples.

Foundation priorityFoundation

Prime numbers

Identify prime numbers and use prime number facts in factor questions.

Foundation and HigherFoundation and Higher

Prime factorisation

Write numbers as products of prime factors using factor trees or repeated division.

Foundation priorityFoundation and Higher

HCF and LCM

Find highest common factors and lowest common multiples, including with prime factors.

Foundation priorityFoundation and Higher

Squares, cubes, and roots

Know square numbers, cube numbers, square roots, and cube roots.

Fractions
Foundation priorityFoundation and Higher

Comparing and ordering fractions

Compare fractions using common denominators, decimals, or benchmark fractions.

Foundation priorityFoundation and Higher

Adding and subtracting fractions

Add and subtract fractions using common denominators.

Foundation priorityFoundation and Higher

Multiplying fractions

Multiply fractions, including simplifying before or after multiplying.

Foundation priorityFoundation and Higher

Dividing fractions

Divide by a fraction using the reciprocal method and simplify answers.

Foundation priorityFoundation and Higher

Mixed numbers and improper fractions

Convert between mixed numbers and improper fractions.

Decimals
Foundation priorityFoundation

Decimal place value

Understand tenths, hundredths, thousandths, and the value of decimal digits.

Foundation priorityFoundation

Adding and subtracting decimals

Add and subtract decimals by lining up decimal points.

Foundation priorityFoundation and Higher

Multiplying decimals

Multiply decimals and place the decimal point using estimation or place value.

Foundation priorityFoundation and Higher

Dividing decimals

Divide decimals by whole numbers and by decimals using equivalent calculations.

FDP conversions
Foundation priorityFoundation and Higher

Fractions to decimals

Convert fractions to decimals using division or equivalent fractions.

Foundation priorityFoundation

Decimals to percentages

Multiply decimals by 100 to write them as percentages.

Foundation priorityFoundation

Percentages to fractions

Write percentages over 100 and simplify the fraction.

Foundation priorityFoundation

FDP equivalence table

Learn common fraction, decimal, and percentage equivalences.

Percentages
Foundation and HigherFoundation and Higher

Percentage change

Calculate percentage increase or decrease from an original value to a new value.

Foundation and HigherFoundation and Higher

Percentage multipliers

Use multipliers such as 1.15, 0.8, and 1.025 for percentage change.

Foundation and HigherFoundation and Higher

Repeated percentage change

Apply percentage multipliers in sequence for repeated increases and decreases.

Foundation and HigherFoundation and Higher

Simple interest

Calculate simple interest using a fixed percentage of the original amount.

Higher priorityHigher

Compound interest

Use repeated percentage multipliers for compound growth and decay.

Indices, standard form, and higher number
Foundation and HigherFoundation and Higher

Calculating with standard form

Multiply, divide, add, and subtract numbers written in standard form.

Higher priorityHigher

Negative and fractional indices

Use negative and fractional powers, including roots written as powers.

Higher priorityHigher

Surds

Understand exact surd form and basic surd notation.

Higher priorityHigher

Simplifying surds

Simplify surds by taking out square factors.

Higher priorityHigher

Rationalising denominators

Remove surds from denominators by multiplying by a suitable surd or conjugate.

Higher priorityHigher

Bounds in compound measures

Use upper and lower bounds in area, speed, density, and other compound-measure calculations.

Spec points

Use integers, decimals, fractions, and percentages fluently.

Round values and reason with error intervals.

Apply index laws and standard form accurately.

Common question types

Convert numbers into standard form.

Find lower or upper bounds from rounded values.

Estimate a calculation before using a calculator.