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Estimating practice questions with answers

Foundation and Higher · Grade 3 · Non-calculator

A second set of estimating questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

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Question 1 Easy

Estimate 412 ÷ 78 by rounding each number to 1 significant figure.

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Answer: 5

  1. 412 rounds to 400 and 78 rounds to 80.
  2. 400 ÷ 80 = 5.
  • Method (1): 412 rounds to 400 and 78 rounds to 80.
  • Accuracy (1): Answer 5

Question 2 Easy

Estimate 9.7 × 0.31 by rounding each number to 1 significant figure.

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Answer: 3

  1. 9.7 rounds to 10 and 0.31 rounds to 0.3.
  2. 10 × 0.3 = 3.
  • Method (1): 9.7 rounds to 10 and 0.31 rounds to 0.3.
  • Accuracy (1): Answer 3

Question 3 Medium

Estimate 897 ÷ 31 by rounding each number to 1 significant figure.

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Answer: 30

  1. 897 rounds to 900 and 31 rounds to 30.
  2. 900 ÷ 30 = 30.
  • Method (1): 897 rounds to 900 and 31 rounds to 30.
  • Accuracy (1): Answer 30

Question 4 Medium

Estimate 4.8 × 0.21 by rounding each number to 1 significant figure.

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Answer: 1

  1. 4.8 rounds to 5 and 0.21 rounds to 0.2.
  2. 5 × 0.2 = 1.
  • Method (1): 4.8 rounds to 5 and 0.21 rounds to 0.2.
  • Accuracy (1): Answer 1

Question 5 Hard

Estimate 612 ÷ 28 by rounding each number to 1 significant figure.

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Answer: 20

  1. 612 rounds to 600 and 28 rounds to 30.
  2. 600 ÷ 30 = 20.
  • Method (1): 612 rounds to 600 and 28 rounds to 30.
  • Accuracy (1): Answer 20

Question 6 Hard

Estimate 1.9 × 0.62 by rounding each number to 1 significant figure.

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Answer: 1.2

  1. 1.9 rounds to 2 and 0.62 rounds to 0.6.
  2. 2 × 0.6 = 1.2.
  • Method (1): 1.9 rounds to 2 and 0.62 rounds to 0.6.
  • Accuracy (1): Answer 1.2

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

Estimate 59 × 52 by rounding each number to 1 significant figure.

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Answer: 3000

  1. 59 rounds to 60 and 52 rounds to 50.
  2. 60 × 50 = 3000.
  3. The estimate is 3000.
  • Method (1): 59 rounds to 60 and 52 rounds to 50.
  • Accuracy (1): Answer 3000

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

Estimate 29 × 22 by rounding each number to 1 significant figure.

  1. 600
  2. 638
  3. 6000
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600 The result is 600.

Check 2

Estimate 806 ÷ 41 by rounding each number to 1 significant figure.

  1. 20
  2. 200
  3. 2
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20 The result is 20.

Check 3

Estimate 3.9 × 0.19 by rounding each number to 1 significant figure.

  1. 0.8
  2. 8
  3. 0.08
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0.8 The result is 0.8.

Check 4

Which two consecutive whole numbers does √20 lie between?

  1. 4 and 5
  2. 3 and 4
  3. 9 and 10
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4 and 5 The result is 4 and 5.

Check 5

Estimate 79 × 72 by rounding each number to 1 significant figure.

  1. 5600
  2. 5688
  3. 56000
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5600 The result is 5600.

Check 6

Estimate 689 ÷ 68 by rounding each number to 1 significant figure.

  1. 10
  2. 100
  3. 1
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10 The result is 10.

Check 7

Estimate 6.1 × 0.52 by rounding each number to 1 significant figure.

  1. 3
  2. 30
  3. 0.3
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3 The result is 3.

Check 8

Which two consecutive whole numbers does √30 lie between?

  1. 5 and 6
  2. 4 and 5
  3. 14 and 15
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5 and 6 The result is 5 and 6.

Check 9

Estimate 49 × 42 by rounding each number to 1 significant figure.

  1. 2000
  2. 2058
  3. 20000
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2000 The result is 2000.

Check 10

Estimate 203 ÷ 48 by rounding each number to 1 significant figure.

  1. 4
  2. 40
  3. 0.4
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4 The result is 4.

Check 11

Estimate 9.7 × 0.31 by rounding each number to 1 significant figure.

  1. 3
  2. 30
  3. 0.3
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3 The result is 3.

Check 12

Which two consecutive whole numbers does √10 lie between?

  1. 3 and 4
  2. 2 and 3
  3. 4 and 5
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3 and 4 The result is 3 and 4.

Check 13

Estimate 19 × 12 by rounding each number to 1 significant figure.

  1. 200
  2. 228
  3. 2000
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200 The result is 200.

Check 14

Estimate 394 ÷ 19 by rounding each number to 1 significant figure.

  1. 20
  2. 200
  3. 2
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20 The result is 20.

Check 15

Estimate 4.8 × 0.21 by rounding each number to 1 significant figure.

  1. 1
  2. 10
  3. 0.1
Show answer

1 The result is 1.

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