Maths Gcse Aqa Foundation
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Scatter-Graphs-And-Correlation Aqa Foundation2 主题
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Statistical-Diagrams Aqa Foundation6 主题
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Averages-Ranges-And-Data Aqa Foundation7 主题
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Tree-Diagrams-And-Combined-Probability Aqa Foundation2 主题
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Simple-Probability-Diagrams Aqa Foundation4 主题
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Transformations Aqa Foundation4 主题
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Vectors Aqa Foundation3 主题
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Pythagoras-And-Trigonometry Aqa Foundation5 主题
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Congruence-Similarity-And-Geometrical-Proof Aqa Foundation5 主题
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Volume-And-Surface-Area Aqa Foundation3 主题
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Circles-Arcs-And-Sectors Aqa Foundation3 主题
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Area-And-Perimeter Aqa Foundation4 主题
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Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation5 主题
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2D-And-3D-Shapes Aqa Foundation4 主题
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Angles-In-Polygons-And-Parallel-Lines Aqa Foundation5 主题
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Symmetry-And-Shapes Aqa Foundation4 主题
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Exchange-Rates-And-Best-Buys Aqa Foundation2 主题
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Standard-And-Compound-Units Aqa Foundation5 主题
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Direct-And-Inverse-Proportion Aqa Foundation1 主题
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Ratio-Problem-Solving Aqa Foundation2 主题
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Sequences Aqa Foundation4 主题
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Solving-Inequalities Aqa Foundation3 主题
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Real-Life-Graphs Aqa Foundation4 主题
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Graphs-Of-Functions Aqa Foundation3 主题
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Linear-Graphs Aqa Foundation3 主题
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Coordinate-Geometry Aqa Foundation3 主题
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Functions Aqa Foundation1 主题
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Forming-And-Solving-Equations Aqa Foundation2 主题
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Simultaneous-Equations Aqa Foundation1 主题
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Solving-Quadratic-Equations Aqa Foundation1 主题
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Linear-Equations Aqa Foundation3 主题
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Algebraic-Reasoning Aqa Foundation1 主题
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Rearranging-Formulas Aqa Foundation1 主题
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Introduction Aqa Foundation10 主题
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Relative-And-Expected-Frequency Aqa Foundation
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Sample-Space-Diagrams Aqa Foundation
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Basic-Probability Aqa Foundation
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Sharing-In-A-Ratio Aqa Foundation
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Equivalent-And-Simplified-Ratios Aqa Foundation
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Introduction-To-Ratios Aqa Foundation
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Collecting-Like-Terms Aqa Foundation
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Substitution Aqa Foundation
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Algebraic-Vocabulary Aqa Foundation
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Algebraic-Notation Aqa Foundation
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Relative-And-Expected-Frequency Aqa Foundation
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Factorising Aqa Foundation3 主题
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Expanding-Brackets Aqa Foundation2 主题
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Algebraic-Roots-And-Indices Aqa Foundation1 主题
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Using-A-Calculator Aqa Foundation1 主题
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Exact-Values Aqa Foundation1 主题
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Rounding-Estimation-And-Error-Intervals Aqa Foundation4 主题
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Fractions-Decimals-And-Percentages Aqa Foundation2 主题
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Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation4 主题
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Percentages Aqa Foundation5 主题
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Fractions Aqa Foundation6 主题
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Powers-Roots-And-Standard-Form Aqa Foundation4 主题
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Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation6 主题
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Number-Operations Aqa Foundation9 主题
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Counting-Principles Aqa Foundation
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Related-Calculations Aqa Foundation
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Multiplication-And-Division Aqa Foundation
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Addition-And-Subtraction Aqa Foundation
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Money-Calculations Aqa Foundation
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Negative-Numbers Aqa Foundation
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Place-Value Aqa Foundation
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Order-Of-Operations-Bidmasbodmas Aqa Foundation
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Mathematical-Operations Aqa Foundation
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Counting-Principles Aqa Foundation
Sharing-In-A-Ratio Aqa Foundation
Exam code:8300
Sharing in a ratio
How do I share an amount in a given ratio?
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Add together all parts in the ratio to find the total number of parts in the whole
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$200 is to be shared between two people, A and B, in the ratio 5:3
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There are 8 “parts” in total, as A receives 5 parts and B receives 3 parts
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Divide the amount being shared by the total number of parts
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$200 must be split into 8 parts, so this means that 1 part must be worth $25
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200 ÷ 8 = 25
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Multiply the amount each part is worth by the number of parts for each quantity in the ratio
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Person A receives 5 parts, each worth $25
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5 × 25 = $125 for person A
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Person B receives 3 parts, each worth $25
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3 × 25 = $75 for person B
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Check the values in the new ratio add up to the total amount being shared
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$125 + $75 = $200
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Examiner Tips and Tricks
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Adding labels to your ratios will help make your working clearer and help you remember which number represents which quantity, e.g.,
Worked Example
A particular shade of pink paint is made using three parts red paint, to two parts white paint.
Mark needs 60 litres of pink paint in order to decorate a room in his house.
Calculate the volume of red and white paint that Mark needs to purchase in order to have enough paint to decorate the room.
The ratio of red to white is
3 : 2
Adding these together gives the total number of parts
3 + 2 = 5
The total amount of paint is 60 litres
∴ 5 parts = 60 litres
Divide both sides by 5 to find out the number of litres in one part
The ratio was 3:2, so multiply both number of parts by 12
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