Maths Gcse Edexcel Foundation
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Scatter-Graphs-And-Correlation Edexcel Foundation2 主题
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Statistical-Diagrams Edexcel Foundation8 主题
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Comparing-Statistical-Diagrams Edexcel Foundation
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Reading-And-Interpreting-Statistical-Diagrams Edexcel Foundation
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Time-Series-Graphs Edexcel Foundation
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Pie-Charts Edexcel Foundation
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Frequency-Polygons Edexcel Foundation
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Bar-Charts-And-Pictograms Edexcel Foundation
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Tally-Charts-And-Frequency-Tables Edexcel Foundation
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Stem-And-Leaf-Diagrams Edexcel Foundation
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Comparing-Statistical-Diagrams Edexcel Foundation
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Statistics-Toolkit Edexcel Foundation7 主题
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Tree-Diagrams-And-Combined-Probability Edexcel Foundation2 主题
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Simple-Probability-Diagrams Edexcel Foundation4 主题
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Probability-Toolkit Edexcel Foundation3 主题
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Transformations Edexcel Foundation4 主题
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Vectors Edexcel Foundation3 主题
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Volume-And-Surface-Area Edexcel Foundation3 主题
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Circles-Arcs-And-Sectors Edexcel Foundation3 主题
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Area-And-Perimeter Edexcel Foundation4 主题
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Pythagoras-And-Trigonometry Edexcel Foundation5 主题
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Congruence-Similarity-And-Geometrical-Proof Edexcel Foundation5 主题
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Bearings-Scale-Drawing-Constructions-And-Loci Edexcel Foundation5 主题
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2D-And-3D-Shapes Edexcel Foundation4 主题
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Angles-In-Polygons-And-Parallel-Lines Edexcel Foundation5 主题
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Geometry-Toolkit Edexcel Foundation4 主题
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Exchange-Rates-And-Best-Buys Edexcel Foundation2 主题
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Standard-And-Compound-Units Edexcel Foundation5 主题
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Direct-And-Inverse-Proportion Edexcel Foundation1 主题
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Ratio-Problem-Solving Edexcel Foundation2 主题
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Ratio-Toolkit Edexcel Foundation3 主题
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Sequences Edexcel Foundation4 主题
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Solving-Inequalities Edexcel Foundation3 主题
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Real-Life-Graphs Edexcel Foundation4 主题
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Graphs-Of-Functions Edexcel Foundation3 主题
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Linear-Graphs Edexcel Foundation3 主题
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Coordinate-Geometry Edexcel Foundation3 主题
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Functions Edexcel Foundation1 主题
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Forming-And-Solving-Equations Edexcel Foundation2 主题
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Simultaneous-Equations Edexcel Foundation1 主题
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Solving-Quadratic-Equations Edexcel Foundation1 主题
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Linear-Equations Edexcel Foundation3 主题
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Algebraic-Reasoning Edexcel Foundation1 主题
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Rearranging-Formulas Edexcel Foundation1 主题
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Factorising Edexcel Foundation3 主题
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Expanding-Brackets Edexcel Foundation2 主题
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Algebraic-Roots-And-Indices Edexcel Foundation1 主题
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Algebra-Toolkit Edexcel Foundation4 主题
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Using-A-Calculator Edexcel Foundation1 主题
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Exact-Values Edexcel Foundation1 主题
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Rounding-Estimation-And-Error-Intervals Edexcel Foundation4 主题
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Fractions-Decimals-And-Percentages Edexcel Foundation2 主题
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Simple-And-Compound-Interest-Growth-And-Decay Edexcel Foundation4 主题
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Percentages Edexcel Foundation5 主题
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Fractions Edexcel Foundation6 主题
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Multiplying-And-Dividing-Fractions Edexcel Foundation
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Adding-And-Subtracting-Fractions Edexcel Foundation
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Mixed-Numbers-And-Improper-Fractions Edexcel Foundation
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Equivalent-And-Simplified-Fractions Edexcel Foundation
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Fractions-Of-Amounts Edexcel Foundation
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Introduction-To-Fractions Edexcel Foundation
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Multiplying-And-Dividing-Fractions Edexcel Foundation
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Powers-Roots-And-Standard-Form Edexcel Foundation4 主题
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Types-Of-Number-Prime-Factors-Hcf-And-Lcm Edexcel Foundation6 主题
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Number-Toolkit Edexcel Foundation9 主题
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Counting-Principles Edexcel Foundation
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Related-Calculations Edexcel Foundation
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Multiplication-And-Division Edexcel Foundation
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Addition-And-Subtraction Edexcel Foundation
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Money-Calculations Edexcel Foundation
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Negative-Numbers Edexcel Foundation
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Place-Value Edexcel Foundation
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Order-Of-Operations-Bidmas-Bodmas Edexcel Foundation
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Mathematical-Operations Edexcel Foundation
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Counting-Principles Edexcel Foundation
Sharing-In-A-Ratio Edexcel Foundation
Exam code:1MA1
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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