GCSEMathsEdexcelFoundationExam QuestionsNumberRounding, Estimation & Error Intervals

Rounding, Estimation & Error Intervals (Edexcel GCSE Maths: Foundation)

Exam Questions

1 hour43 questions
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Hard
1
Sme Calculator2 marks

A length of string, l cm, has been measured as 4 cm correct to the nearest whole number.

Complete the following statement to show the range of possible values for l.

 

.................... space less or equal than space l space less than space....................

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2
Sme Calculator2 marks

Work out an estimate for the value of  67 cross times 2.81.
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3
Sme Calculator1 mark

Michaela wants to buy 32 books.

Each book costs £4.25.
Michaela does the calculation 30 x 4 = 120 to estimate the cost of the books.

Explain how Michaela's calculation shows the actual cost will be more than £120.

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4a
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Write 0.3728 correct to 1 decimal place.

[1]

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4b
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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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5
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Write 867 correct to the nearest ten.

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6
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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7
Sme Calculator1 mark

Write 849.481 correct to 1 decimal place.

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8
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Write 97.4236 correct to 3 decimal places.

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9
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Write 3.72194 correct to 3 decimal places.

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10
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Write 8379 correct to the nearest hundred.

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11a
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Write 6789 correct to the nearest 100.

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11b
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Write 6789 correct to 3 significant figures.

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12
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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13a
Sme Calculator1 mark

Write 8473 correct to the nearest ten.

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13b
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Write 16.086 correct to 2 decimal places.

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14
Sme Calculator1 mark

Write 3.058 correct to 3 significant figures.

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15
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

A number x is rounded to 2 significant figures.
The result is 0.78.

Write down the error interval for x.

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2
Sme Calculator3 marks

Work out an estimate for  fraction numerator 320 cross times 867 over denominator 46 end fraction

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3a
Sme Calculator3 marks

A train is travelling at a speed of 124 miles per hour.

Work out an estimate for the number of seconds that the train takes to travel 1 mile.

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3b
Sme Calculator1 mark

Is your answer to part (a) and overestimate or an underestimate? Give a reason for your answer.

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4
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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5
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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6
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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7
Sme Calculator2 marks

Calculate cube root of 40

Give your answer correct to 4 decimal places

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8
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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9
Sme Calculator1 mark

Write 0.047883 correct to 2 significant figures.

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10
Sme Calculator1 mark

Write 6.8167 correct to 3 significant figures.

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11a
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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11b
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

Simone used her calculator to work out the value of a number x.

The answer on her calculator began

                                                                  11.8

Complete the error interval for x.

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2
Sme Calculator3 marks

Alfie and Bryony use a calculator to work out  fraction numerator 385 over denominator 9.07 squared minus 1.2 end fraction

Alfie's answer is 47.493
Bryony's answer is 4.749

One of these answers is correct.

Use approximations to find out which answer is correct.

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3a
Sme Calculator3 marks

Jonah wants to build a tower out of matchsticks.
He wants to build the tower so that it is the same height as the room, which is 394.5 cm high.

Jonah knows that he can increase the height of the tower by 3.8 cm each hour.
He plans to spend 5 hours building the tower each day.

Estimate how many days it will take Jonah to complete his tower.

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3b
Sme Calculator1 mark

Jonah learns a new building technique.
The rate at which he can increase the height of the tower per hour by increases.

How does this affect your answer to part (a)?

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4
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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5
Sme Calculator2 marks

The length,space l cm, 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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6
Sme Calculator2 marks

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

Complete this statement about the value of space l.

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

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7
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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8
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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9
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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10
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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11
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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12
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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13
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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14
Sme Calculator1 mark

Write 0.046875 correct to 2 significant figures.

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15
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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16
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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17
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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