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11+ Maths

Math Formulas

BASIC NUMBER SKILLS

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  • Arrange numbers in order

  • Addition of numbers

  • Subtraction of numbers

  • Multiplication by a one-digit number

  • Complete magic squares

  • Place value

  • Inverse operations

  • Order of operations

  • Factors

  • Multiples and prime numbers

  • Square numbers

  • Cube numbers and their roots

  • Rules for divisibility

  • Multiplication by a two-digit number

  • Division by a two-digit number

  • Complete magic squares

  • Division by a one-digit number

DECIMALS

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  • Arrange decimals in order

  • Readings from decimal scales

  • Convert decimals to fractions

  • Convert decimals to percentages

  • Convert decimals to percentages

  • Addition of decimals

  • Subtraction of decimals

  • Multiply a decimal by a power of ten

  • Divide a decimal by a power of ten

  • Divide a decimal by a one-digit number

  • Multiply a decimal with a one-digit number

  • Divide a decimal by a two-digit number

  • Multiply a decimal by a two-digit number

  • Multiply a decimal by another decimal

  • Divide a decimal by another decimal

  • Round decimals to 1

  • Magic squares with decimals

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FRACTION

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  • Equivalent fractions 

  • Simplify fractions by cancelling down

  • Reading fractional scales 

  • Arrange fractions in order

  • Addition of fractions with different denominators

  • Subtraction of fractions with different denominators

  • Multiplication of fractions 

  • Division of fractions 

  • Finding a fraction of a quantity

  • Fraction of an unknown amount

  • Fraction of a fraction of a quantity

  • Convert fractions to decimals

  • Convert fractions to percentages

  • Convert improper fractions to mixed numbers

  • Find a fraction halfway between two other fractions

ALGEBRA

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  • Simplify expressions

  • Solve equations with the unknown on both sides

  • Forming expressions and equations

  • Equations with two variables

  • Continue number sequences

  • Function machines

  • Mathematical reasoning

MIXED NUMBERS

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  • Change mixed numbers to improper fractions

  • Arrange mixed numbers in order

  • Addition of mixed numbers

  • Subtraction of mixed numbers

  • Multiplication of mixed numbers

  • Division of mixed numbers

DATA HANDLING

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  • Venn diagrams

  • Read and interpret bar charts

  • Read and interpret pie charts

  • Find the mean

  • Averages from bar charts

  • Find the probability of a single event happening

  • Find the probability of two combined events

  • Read and interpret distance charts (Distance tables)

  • Work out speed

  • Read and interpret time tables (bus and train time-tables)

  • Read and interpret pictograms

TIME AND MONEY

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  • Work with time

  • Time across different time-zones

  • Calculations with money

  • Find best buys

  • Conversions between different currencies

  • Money saved by using meal deals

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GRAPH

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  • Read and interpret line graphs

  • Read and interpret real life graphs

  • Draw and use conversion graphs

  • Read and interpret distance-time graphs

PERCENTAGES

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  • Change percentages to fractions

  • Change percentages to decimals

  • Compare percentages

  • Find a percentage of a quantity 

  • Increase/decrease an amount by a certain percentage

  • Give one number as a percentage of another

  • Reverse percentages

GEOMETRY

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  • Know acute, obtuse and reflex angles

  • Work out angles on straight lines

  • If two lines cross the opposite angles are equal

  • Know properties of scalene triangle

  • Exterior angle of triangle property

  • Work out angles in triangles

  • Angles in quadrilaterals

  • Work out angles on parallel lines

  • Angles in parallelograms

RATIO AND PROPORTION

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  • Simplify ratios

  • Change ratios into fractions

  • Divide an amount in a certain ration

  • Use ratio if partial information is given

  • Ratio in recipes

  • Proportionality

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