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Maths Gcse Edexcel Foundation

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  1. Scatter-Graphs-And-Correlation Edexcel Foundation
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  2. Statistical-Diagrams Edexcel Foundation
    8 主题
  3. Statistics-Toolkit Edexcel Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Edexcel Foundation
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  5. Simple-Probability-Diagrams Edexcel Foundation
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  6. Probability-Toolkit Edexcel Foundation
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  7. Transformations Edexcel Foundation
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  8. Vectors Edexcel Foundation
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  9. Volume-And-Surface-Area Edexcel Foundation
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  10. Circles-Arcs-And-Sectors Edexcel Foundation
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  11. Area-And-Perimeter Edexcel Foundation
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  12. Pythagoras-And-Trigonometry Edexcel Foundation
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  13. Congruence-Similarity-And-Geometrical-Proof Edexcel Foundation
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  14. Bearings-Scale-Drawing-Constructions-And-Loci Edexcel Foundation
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  15. 2D-And-3D-Shapes Edexcel Foundation
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  16. Angles-In-Polygons-And-Parallel-Lines Edexcel Foundation
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  17. Geometry-Toolkit Edexcel Foundation
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  18. Exchange-Rates-And-Best-Buys Edexcel Foundation
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  19. Standard-And-Compound-Units Edexcel Foundation
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  20. Direct-And-Inverse-Proportion Edexcel Foundation
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  21. Ratio-Problem-Solving Edexcel Foundation
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  22. Ratio-Toolkit Edexcel Foundation
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  23. Sequences Edexcel Foundation
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  24. Solving-Inequalities Edexcel Foundation
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  25. Real-Life-Graphs Edexcel Foundation
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  26. Graphs-Of-Functions Edexcel Foundation
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  27. Linear-Graphs Edexcel Foundation
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  28. Coordinate-Geometry Edexcel Foundation
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  29. Functions Edexcel Foundation
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  30. Forming-And-Solving-Equations Edexcel Foundation
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  31. Simultaneous-Equations Edexcel Foundation
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  32. Solving-Quadratic-Equations Edexcel Foundation
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  33. Linear-Equations Edexcel Foundation
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  34. Algebraic-Reasoning Edexcel Foundation
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  35. Rearranging-Formulas Edexcel Foundation
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  36. Factorising Edexcel Foundation
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  37. Expanding-Brackets Edexcel Foundation
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  38. Algebraic-Roots-And-Indices Edexcel Foundation
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  39. Algebra-Toolkit Edexcel Foundation
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  40. Using-A-Calculator Edexcel Foundation
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  41. Exact-Values Edexcel Foundation
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  42. Rounding-Estimation-And-Error-Intervals Edexcel Foundation
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  43. Fractions-Decimals-And-Percentages Edexcel Foundation
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  44. Simple-And-Compound-Interest-Growth-And-Decay Edexcel Foundation
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  45. Percentages Edexcel Foundation
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  46. Fractions Edexcel Foundation
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  47. Powers-Roots-And-Standard-Form Edexcel Foundation
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  48. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Edexcel Foundation
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  49. Number-Toolkit Edexcel Foundation
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Exam code:1MA1

Introduction to fractions

What is a fraction?

  • A fraction is part of a whole

  • A fraction is written as a over b where a and b are integers

    • The number on the top, a, is called the numerator

    • The number on the bottom, b, is called the denominator

  • The values of the numerator and denominator tell us about the size of the fraction 

    • The denominator is how many parts the whole is split into 

    • The numerator is how many parts you have

      • For example, 2 over 3 means that the whole is divided into 3 parts and you have 2 of these parts

How do I shade a fraction on a diagram?

  • Divide by the denominator and multiply by the numerator

    • To shade 3 over 5 of a grid of 20 squares

      • Divide 20 squares by 5 to get 4 squares

      • Multiply this amount by 3 to get 12 squares 

      • Shade 12 squares

    • To shade 1 fourth of a circle

      • Divide the circle into four quarters by drawing a horizontal and a vertical line through the centre

      • Shade one of these quarters

Worked Example

Shade 5 over 7 of the grid below.

grid 1

Count the total number of squares in the grid

Total of 21 squares 

Divide 21 by 7

 21 ÷ 7 = 3 

Multiply by 5

3 × 5 = 15 

Shade 15 squares 

grid 2

It doesn’t matter which 15 you shade, but it’s neater to group them together

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