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Maths Gcse Aqa Foundation

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  1. Scatter-Graphs-And-Correlation Aqa Foundation
    2 主题
  2. Statistical-Diagrams Aqa Foundation
    6 主题
  3. Averages-Ranges-And-Data Aqa Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
    2 主题
  5. Simple-Probability-Diagrams Aqa Foundation
    4 主题
  6. Transformations Aqa Foundation
    4 主题
  7. Vectors Aqa Foundation
    3 主题
  8. Pythagoras-And-Trigonometry Aqa Foundation
    5 主题
  9. Congruence-Similarity-And-Geometrical-Proof Aqa Foundation
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  10. Volume-And-Surface-Area Aqa Foundation
    3 主题
  11. Circles-Arcs-And-Sectors Aqa Foundation
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  12. Area-And-Perimeter Aqa Foundation
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  13. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation
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  14. 2D-And-3D-Shapes Aqa Foundation
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  15. Angles-In-Polygons-And-Parallel-Lines Aqa Foundation
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  16. Symmetry-And-Shapes Aqa Foundation
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  17. Exchange-Rates-And-Best-Buys Aqa Foundation
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  18. Standard-And-Compound-Units Aqa Foundation
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  19. Direct-And-Inverse-Proportion Aqa Foundation
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  20. Ratio-Problem-Solving Aqa Foundation
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  21. Sequences Aqa Foundation
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  22. Solving-Inequalities Aqa Foundation
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  23. Real-Life-Graphs Aqa Foundation
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  24. Graphs-Of-Functions Aqa Foundation
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  25. Linear-Graphs Aqa Foundation
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  26. Coordinate-Geometry Aqa Foundation
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  27. Functions Aqa Foundation
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  28. Forming-And-Solving-Equations Aqa Foundation
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  29. Simultaneous-Equations Aqa Foundation
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  30. Solving-Quadratic-Equations Aqa Foundation
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  31. Linear-Equations Aqa Foundation
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  32. Algebraic-Reasoning Aqa Foundation
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  33. Rearranging-Formulas Aqa Foundation
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  34. Introduction Aqa Foundation
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  35. Factorising Aqa Foundation
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  36. Expanding-Brackets Aqa Foundation
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  37. Algebraic-Roots-And-Indices Aqa Foundation
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  38. Using-A-Calculator Aqa Foundation
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  39. Exact-Values Aqa Foundation
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  40. Rounding-Estimation-And-Error-Intervals Aqa Foundation
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  41. Fractions-Decimals-And-Percentages Aqa Foundation
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  42. Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation
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  43. Percentages Aqa Foundation
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  44. Fractions Aqa Foundation
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  45. Powers-Roots-And-Standard-Form Aqa Foundation
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  46. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation
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  47. Number-Operations Aqa Foundation
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Exam code:8300

Converting units

How do I convert units of lengths?

  • For metric units, conversion can be done by simply multiplying or dividing by powers of 10

  • You need to know the basic conversions for length

    • 1 cm = 10 mm

    • 1 m = 100 cm

    • 1 km = 1000 m

  • You need to decide whether to multiply or divide by the conversion factor

    • Ask, does the number of units increase or decrease?

      • The number of mm is 10 times bigger than the number of cm so mm = cm × 10

  • You can do the conversion in stages

    • First convert kilometres into metres then metres into centimetres

How do I convert units of mass?

  • For metric units, conversion can be done by simply multiplying or dividing by powers of 10

  • You need to know the basic conversions for mass

    • 1 g = 1000 mg

    • 1 kg = 1000 g

    • 1 tonne = 1000 kg

How do I convert units of volume/capacity?

  • For metric units, conversion can be done by simply multiplying or dividing by powers of 10

  • You need to know the basic conversions for capacity

    • 1 litre = 100 cl = 1000 ml

      • 1 cl = 10 ml

  • You must know the basic conversion between volume and capacity 

    • 1 ml = 1 cm3

    • 1 litre = 1000 ml = 1000 cm3

    • 1 m3 = 1000 litres

Worked Example

Convert

(a) 54 cm to mm

1 cm = 10 mm

54 cm = (54 × 10) mm = 540 mm

540 mm

(b) 12 300 cm to km

First convert from cm to m
100 cm = 1 m

12 300 cm = (12 300 ÷ 100) m = 123 m

Now convert from m to km
1000 m = 1 km

123 m = (123 ÷ 1000) km = 0.123 km

0.123 km

(c) 485 g to kg

1000 g = 1 kg

485 g = (485 ÷ 1000) kg

0.485 kg

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