IGCSEMaths: CoreCIEExam QuestionsNumberRounding, Estimation & Bounds

Syllabus Edition

First teaching 2023

First exams 2025

|

Rounding, Estimation & Bounds (CIE IGCSE Maths: Core)

Exam Questions

2 hours48 questions
Easy
Medium
Hard
1a
Sme Calculator1 mark

Write 0.3728 correct to 1 decimal place.

[1]

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1b
Sme Calculator2 marks

The height, h metres, of a tower is 128m, correct to the nearest metre.
Complete the statement about the value of h.

..................less-than or slanted equal to h less than.............

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2
Sme Calculator1 mark

Write 867 correct to the nearest ten.

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3
Sme Calculator2 marks

The length, l cm, of a pencil is 18cm, correct to the nearest centimetre.

Complete the statement about the value ofspace l.

................... less-than or slanted equal to l less than ................... 

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4
Sme Calculator1 mark

Write 849.481 correct to 1 decimal place.

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5
Sme Calculator1 mark

Write 97.4236 correct to 3 decimal places.

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6
Sme Calculator1 mark

Write 3.72194 correct to 3 decimal places.

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7
Sme Calculator1 mark

Write 8379 correct to the nearest hundred.

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8a
Sme Calculator1 mark

Write 6789 correct to the nearest 100.

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8b
Sme Calculator1 mark

Write 6789 correct to 3 significant figures.

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9
Sme Calculator2 marks

The mass, m kilograms, of a horse is 429kg, correct to the nearest kilogram.

Complete this statement about the value of m.

..................... ⩽ m < .....................

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10a
Sme Calculator1 mark

Write 8473 correct to the nearest ten.

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10b
Sme Calculator1 mark

Write 16.086 correct to 2 decimal places.

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11
Sme Calculator1 mark

Write 3.058 correct to 3 significant figures.

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12
Sme Calculator2 marks

Genaro measures the length, l cm, of his desk as 120 cm, correct to the nearest centimetre.

Complete the statement about the value of l.

...................... less-than or slanted equal to l less than ..................... 

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1
Sme Calculator2 marks

By writing each number correct to 1 significant figure, estimate the value of

fraction numerator 37.8 cross times 13.2 over denominator 28.5 plus 22.1 end fraction

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2
Sme Calculator2 marks

The height, h metres, of a tower is 76.3 m, correct to 1 decimal place.
Complete this statement about the value of h.

.................... less-than or slanted equal to space h space less than ....................

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3
Sme Calculator2 marks

By rounding each number correct to 1 significant figure, estimate the value of

fraction numerator 71 cross times 32.4 over denominator 4.8 squared end fraction

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4
Sme Calculator2 marks

Calculate cube root of 40

Give your answer correct to 4 decimal places

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5
Sme Calculator2 marks

By rounding each number correct to 1 significant figure, show that an estimate for this calculation is 20.

fraction numerator 9.78 plus 31.562 over denominator 0.381 cross times 5.09 end fraction

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6
Sme Calculator1 mark

Write 0.047883 correct to 2 significant figures.

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7
Sme Calculator1 mark

Write 6.8167 correct to 3 significant figures.

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8a
Sme Calculator2 marks

The amount of fuel,t space litres, in a boat’s fuel tank is 135 litres, correct to the nearest litre.

Complete the statement about the value of t.

..................... less-than or slanted equal to t less than....................

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8b
Sme Calculator2 marks

Marco watched 25 boats enter a port, of which 9 had a mast.
There are a total of 200 boats in the port.

Calculate an estimate of the number of boats in the port that have a mast.

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1
Sme Calculator2 marks

T equals fraction numerator 49.2 minus 9.59 over denominator 4.085 cross times 2.35 end fraction

By writing each number correct to 1 significant figure, work out an estimate for T.
You must show all your working.   

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2
Sme Calculator2 marks

The length,space lcm, of a line is 18.3 cm, correct to the nearest millimetre.

Complete this statement about the value of l.

.................... less-than or slanted equal to l less than.................. 

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3
Sme Calculator2 marks

The length, space lcm, of a sheet of paper is 29.7 cm, correct to the nearest millimetre.

Complete this statement about the value ofspace l.

.............................. less-than or slanted equal to l less than .............................. 

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4
Sme Calculator2 marks

The mass, m grams, of a banana is 115 g, correct to the nearest 5 g.

Complete the statement about the value of m.

............................ less-than or slanted equal to m less than ............................ 

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5
Sme Calculator2 marks

By rounding each number correct to 1 significant figure, estimate the value of square root of fraction numerator 90006 over denominator 10.01 squared end fraction end root

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6
Sme Calculator2 marks

The amount of water, w litres, in a jug is 1.5 litres, correct to the nearest 0.1 litre.

Complete this statement about the value of w.

................... less or equal than w less than...................

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7
Sme Calculator2 marks

The length, p cm, of a pencil is 9.8cm, correct to 2 significant figures.

Complete the statement about the value of  p.

.................... less-than or slanted equal to p less than .................... 

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8
Sme Calculator2 marks

The length of a truck, L metres, is 8.2m, correct to 1 decimal place.
Complete this statement about the value ofspace L.

..................... less-than or slanted equal to L less than ..................... 

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9
Sme Calculator2 marks

p equals fraction numerator 1.6 plus 9.6 squared over denominator 5.9 minus 4.3 end fraction

By writing each number correct to 1 significant figure, work out an estimate for p.
You must show all your working.

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10
Sme Calculator2 marks

Zach goes on holiday.

The mass, m kilograms, of his suitcase is 23.5 kg, correct to the nearest 500 g.
Complete this statement about the value of m.

...................... less or equal than m less than ...................... 

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11
Sme Calculator1 mark

Write 0.046875 correct to 2 significant figures.

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12
Sme Calculator2 marks

Without using a calculator, estimate, by rounding each number correct to 1 significant figure,

fraction numerator square root of 104.3 end root over denominator 8.72 minus 7.389 end fraction

You must show all your working.

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13
Sme Calculator2 marks

The width, w metres, of a room is 4.2 metres, correct to the nearest 10 centimetres.

Complete this statement about the value of w.

.............. less-than or slanted equal to w less than ..............

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14
Sme Calculator2 marks

The length, l metres, of a garden is 78.5 metres, correct to the nearest half metre.

Complete this statement about the value of l.

.................... less-than or slanted equal to l less than ....................

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