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Name:
Section:
Limits of Accuracy (UB/LB) worksheet
1 Neha has a piece of ribbon of length 23 cm, correct to the nearest cm.
From this ribbon she cuts off a piece with length 87 mm, correct to the nearest mm.
Work out the lower bound and the upper bound for the length of the remaining ribbon.
Give your answer in centimetres.
"
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Za
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w
hs
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Lower bound = ................................................... cm
be
Upper bound = ................................................... cm [3]
u Tu
Yo
[Total: 3]
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2 At a football match, there are 29 800 people, correct to the nearest 100.
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tio
(a) At the end of the football match, the people leave at a rate of 400 people per minute, correct to the
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nearest 50 people.
So
Calculate the lower bound for the number of minutes it takes for all the people to leave.
................................................... min [3]
Worksheets in google drive, link in insta bio and YouTube description Teaching at LGS-55, BHS-JT, CITY-MTLC
2
(b) At a cricket match there are 27 500 people, correct to the nearest 100.
Calculate the upper bound for the difference between the number of people at the football match and
at the cricket match.
................................................... [2]
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[Total: 5]
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3 A rectangular picture has length 15 cm and width 10.5 cm, both correct to the nearest 5 mm.
Za
ith
Calculate the upper bound for the area of this picture.
w
hs
at
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................................................... cm2
at
[2]
be
[Total: 2]
u Tu
4 The sides of a regular hexagon are 80 mm, correct to the nearest millimetre.
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Calculate the lower bound of the perimeter of the hexagon.
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tio
lu
So
................................................... mm [2]
[Total: 2]
5 A bag of rice has a mass of 25 kg, correct to the nearest kilogram.
Calculate the lower bound of the total mass of 10 of these bags.
................................................... kg [1]
[Total: 1]
Worksheets in google drive, link in insta bio and YouTube description Teaching at LGS-55, BHS-JT, CITY-MTLC
3
w = 12 correct to the nearest whole number.
h = 4 correct to the nearest whole number.
Work out the upper bound for the value of P.
................................................... [2]
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[Total: 2]
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7 The space allowed for each tent in a campsite is a rectangle measuring 8 m by 6 m, each correct to the nearest
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metre.
ith
w
Calculate the upper bound for the area of the space allowed for each tent.
hs
at
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at
be
Tu
................................................... m2 [2]
u
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[Total: 2]
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8 The sides of a square are 15.1 cm, correct to 1 decimal place.
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tio
lu
Find the upper bound of the area of the square.
So
................................................... cm2 [2]
[Total: 2]
Worksheets in google drive, link in insta bio and YouTube description Teaching at LGS-55, BHS-JT, CITY-MTLC
4
9 An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.
................................................... cm [1]
[Total: 1]
10 Every page of a newspaper is a rectangle measuring 43 cm by 28 cm, both correct to the nearest centimetre.
Calculate the upper bound of the area of a page.
"
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Za
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w
hs
................................................... cm2 [2]
at
"M
[Total: 2]
at
be
11 Priya has 50 identical parcels.
Each parcel has a mass of 17 kg, correct to the nearest kilogram.
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Find the upper bound for the total mass of the 50 parcels.
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n
tio
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So
................................................... kg [1]
[Total: 1]
Worksheets in google drive, link in insta bio and YouTube description Teaching at LGS-55, BHS-JT, CITY-MTLC
5
12 An equilateral triangle has side length 12 cm, correct to the nearest centimetre.
Find the lower bound and the upper bound of the perimeter of the triangle.
Lower bound = ................................................... cm
Upper bound = ................................................... cm [2]
[Total: 2]
13 Saafia has a barrel containing 6000 millilitres of oil, correct to the nearest 100 ml.
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She uses the oil to fill bottles which each hold exactly 50 ml.
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Calculate the upper bound for the number of bottles she can fill.
Za
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w
hs
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at
be
................................................... [2]
u Tu
[Total: 2]
Yo
on
14 The base of a triangle is 9 cm correct to the nearest cm.
The area of this triangle is 40 cm2 correct to the nearest 5 cm2.
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tio
Calculate the upper bound for the perpendicular height of this triangle.
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So
................................................... cm [3]
[Total: 3]
Worksheets in google drive, link in insta bio and YouTube description Teaching at LGS-55, BHS-JT, CITY-MTLC
