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Estimation and approximation
AQA GCSE Mathematics practice questions with step-by-step solutions
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Sample Questions
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EasyQuestion 1
[2 marks]Estimate the value of:
48.7 × 21.3
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5.12
Solution for Question 1
MediumQuestion 2
[3 marks]The length of a rectangle is 18.7 cm and the width is 9.3 cm.
(a) Estimate the area of the rectangle.
(b) Is your estimate an overestimate or underestimate? Explain why.
Solution for Question 2
HardQuestion 3
[4 marks]Estimate the value of:
√(99.7 × 4.13)
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0.487²
Solution for Question 3
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Generate Unlimited QuestionsAbout Estimation and approximation in AQA GCSE
Estimation means finding an approximate answer by rounding numbers to make calculations easier. The key is rounding to one significant figure (or sometimes convenient numbers) before calculating.
For example, to estimate 4.87 × 19.2, round to 5 × 20 = 100. The actual answer is 93.504, so our estimate is reasonably close. Always show your rounded values clearly in your working.
Estimation is useful for checking calculator answers - if your calculator says 4.87 × 19.2 = 935.04, your estimate of 100 tells you something is wrong (you probably pressed an extra key). In exams, estimation questions are usually non-calculator.
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