CIE IGCSE Maths: Core

Topic Questions

IGCSEMaths: CoreCIETopic QuestionsNumberRounding, Estimation and Bounds

Syllabus Edition

First teaching 2021

Last exams 2024

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Rounding, Estimation and Bounds

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1a
Sme Calculator1 mark

Write 0.3728 correct to 1 decimal place.

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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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13a
Sme Calculator1 mark

Write 257964 correct to the nearest thousand.

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13b
Sme Calculator1 mark

Write 0.06031 correct to 2 significant figures.

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14
Sme Calculator1 mark

Write 4647 correct to the nearest 100.

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15
Sme Calculator1 mark

Write 0.00268 correct to 2 significant figures.

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16a
Sme Calculator1 mark

Calculate square root of 2.38 space plus space 6.4 squared end root, writing down your full calculator display.

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16b
Sme Calculator1 mark

Write your answer to part (a) correct to 4 decimal places.

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17a
Sme Calculator1 mark

Write 209802 correct to the nearest thousand.

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17b
Sme Calculator1 mark

Write 4123 correct to 3 significant figures.

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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

You must show all your working.

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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 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 mass, m grams, of a cake is 1250g, correct to the nearest 10g.

Complete this statement about the value of m.

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

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15
Sme Calculator2 marks

The number, n, is given as 5300, correct to 2 significant figures.

Complete this statement about the value of n.

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

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16
Sme Calculator2 marks

The height, h metres, of a boy is 1.72m, correct to the nearest centimetre.

Complete this statement about the value of h.

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

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17
Sme Calculator2 marks

Estimate the value of fraction numerator 19.2 space cross times space square root of 8.64 end root over denominator 31.6 space divided by space 6.32 end fraction by rounding each number in the calculation to 1 significant figure.
Show all your working by filling in the calculation below.

fraction numerator................ space cross times square root of............... end root over denominator................. space divided by space................ end fraction space equals space....................

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18
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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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

You must show all your working.

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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

You must show all your working.

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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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5a
Sme Calculator2 marks

The amount of fuel, t spacelitres, 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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5b
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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6
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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7
Sme Calculator1 mark

Write 0.047883 correct to 2 significant figures.

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8
Sme Calculator2 marks

In a survey of 50 visitors to the leisure centre, 18 used the gym.
One day, 1500 people visited the leisure centre.

Calculate an estimate for the number of people who used the gym on this day.

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9
Sme Calculator5 marks

Three people pick strawberries.
The strawberries are sold in boxes.

i)
On Wednesday, they pick a total of 89kg of strawberries.
The mean mass of each strawberry is 22g.

Work out the number of strawberries they picked.
Give your answer correct to the nearest 10.
[3]
ii)
On Thursday, they pick a total of 4650 strawberries.
They fill each box with 35 strawberries.

How many boxes do they fill?
[2]

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10a
Sme Calculator1 mark

Write these numbers correct to 2 significant figures.

0.076499

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10b
Sme Calculator1 mark

10 100

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11
Sme Calculator2 marks

The mass, m kilograms, of Katy’s suitcase is 31kg, correct to the nearest kilogram.

Complete the statement about the value of m.

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

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12
Sme Calculator2 marks

The mass, m kilograms, of a package is 6.2 kg, correct to 1 decimal place.

Complete the statement about the value of m.

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

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13
Sme Calculator1 mark

Write 6.8167 correct to 3 significant figures.

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