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Maths Gcse Edexcel Foundation

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  3. Statistics-Toolkit Edexcel Foundation
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  4. Tree-Diagrams-And-Combined-Probability Edexcel Foundation
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  11. Area-And-Perimeter 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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  18. Exchange-Rates-And-Best-Buys Edexcel Foundation
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  20. Direct-And-Inverse-Proportion 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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  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

Estimation

Why do I need to estimate?

  • Estimation can be used to find approximations for difficult calculations

  • You can estimate a calculation to check your answers

    • You can identify if there is a mistake in your working out if your answer is much bigger or smaller than your estimated value

How do I estimate?

  • Round each number in the question to something sensible then perform the calculation

    • The exam question will usually tell you what to round each number to before carrying out any calculations

  • The general rule is to round numbers to 1 significant figure

    • 7.8 ➝ 8

    • 18 ➝ 20

    • 3.65 × 10-4 ➝ 4 × 10-4

    • 1080 ➝ 1000

  • In certain cases it may be more sensible (or easier) to round to something convenient

    • 16.2 ➝ 15

    • 9.1 ➝ 10

    • 1180 ➝ 1200

  • Avoid rounding values to zero

How do I know if I have underestimated or overestimated?

  • For addition a + b and multiplication a x b

a (rounded up) and/or b (rounded up)

Overestimate

a (rounded down) and/or b (rounded down)

Underestimate

  • For subtraction ab and division a ÷ b

a (rounded up) and/or b (rounded down)

Overestimate

a (rounded down) and/or b (rounded up)

Underestimate

a (rounded up) and b (rounded up)

Not easy to tell

a (rounded down) and b (rounded down)

Not easy to tell

Examiner Tips and Tricks

  • Estimation exam questions often involve small decimals

    • Avoid rounding to 0, especially if the small decimal is the denominator of a fraction, as dividing by 0 is undefined

Worked Example

Calculate an estimate for fraction numerator 17.3 cross times 3.81 over denominator 11.5 end fraction. State, with a reason, whether the estimate is an overestimate or an underestimate.

Round each number to 1 significant figure

17.3 → 20
3.81 → 4
11.5 → 10

Perform the calculation with the rounded numbers

fraction numerator 20 cross times 4 over denominator 10 end fraction equals 80 over 10 equals 8

An estimate is 8

This is an overestimate as the numerator was rounded up and the denominator was rounded down

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