Maths Essentials, Unit 2, Lesson 3 of 5

Estimating and checking

GCSE Maths, Non-calculator methods, 25 minutes

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Round to 1 significant figure, estimate a calculation and say whether it is too big or too small, and use a fact you are given to find related answers.

What you will learn

  • Round to 1 significant figure
  • Estimate a calculation, including one with a square root
  • Say whether an estimate is an overestimate or an underestimate
  • Use a given fact such as 47 × 23 = 1081
  • Check an answer with an estimate

Estimating a calculation

Round every number to 1 significant figure, then work it out.

For a square root, use the nearest square number instead.

  1. (6.12 × 38.4) ÷ 0.48
  2. 6.12 ≈ 6, 38.4 ≈ 40, 0.48 ≈ 0.5
  3. 6 × 40 = 240
  4. 240 ÷ 0.5 = 480
  1. √47.3 × 21.6
  2. 47.3 is close to 49, so √47.3 ≈ 7
  3. 21.6 ≈ 20
  4. 7 × 20 = 140

The rest of this lesson and its 8 practice questions are locked.

In this lesson

  1. Estimating a calculation
  2. Too big or too small?
  3. Using a fact you are given
  4. Checking an answer with an estimate
  5. Try it: Estimate first, every time

8 practice questions, marked as you go; about 25 minutes in all.

In this unit: Non-calculator methods

Everything Paper 1 asks you to do by hand: written multiplication and division, fractions and percentages, estimating and checking, exact answers, and multi-step problems without a calculator.

All of Non-calculator methods