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Estimation Wjec-Eduqas Foundation
Exam code:C300
Estimation
Why do I need to estimate?
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Estimation can be used to find approximations for difficult calculations
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You can estimate a calculation to check your answers
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You can identify if there is a mistake in your working out if your answer is much bigger or smaller than your estimated value
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How do I estimate?
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Round each number in the question to something sensible then perform the calculation
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The exam question will usually tell you what to round each number to before carrying out any calculations
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The general rule is to round numbers to 1 significant figure
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7.8 ➝ 8
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18 ➝ 20
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3.65 × 10-4 ➝ 4 × 10-4
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1080 ➝ 1000
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In certain cases it may be more sensible (or easier) to round to something convenient
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16.2 ➝ 15
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9.1 ➝ 10
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1180 ➝ 1200
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Avoid rounding values to zero
How do I know if I have underestimated or overestimated?
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For addition a + b and multiplication a x b
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a (rounded up) and/or b (rounded up) |
Overestimate |
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a (rounded down) and/or b (rounded down) |
Underestimate |
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For subtraction a – b and division a ÷ b
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a (rounded up) and/or b (rounded down) |
Overestimate |
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a (rounded down) and/or b (rounded up) |
Underestimate |
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a (rounded up) and b (rounded up) |
Not easy to tell |
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a (rounded down) and b (rounded down) |
Not easy to tell |
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Examiner Tips and Tricks
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Estimation exam questions often involve small decimals
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Avoid rounding to 0, especially if the small decimal is the denominator of a fraction, as dividing by 0 is undefined
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Worked Example
Calculate an estimate for 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
An estimate is 8
This is an overestimate as the numerator was rounded up and the denominator was rounded down
Responses