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APPROXIMATION AND ESTIMATION

Total questions: 26

Worksheet time: 36mins

Name
Class
Date
1.

The weight of a bag of potatoes is 25 kg, correct to the nearest kg.


What is smallest possible weight of the bag of potatoes?

a)

24 kg

b)

24.5 kg

c)

25 kg

d)

25.5 kg

2.

The length of a line is 63 centimetres, correct to the nearest centimetre.


What the greatest possible length of the line?

a)

62 cm

b)

62.5 cm

c)

64 cm

d)

63.5 cm

3.

A field is in the shape of a rectangle. The width of the field is 28 metres, measured to the nearest metre.


Work out the upper bound of the width of the field.

a)

28 m

b)

57 m

c)

56 m

d)

28.5 m

4.

The number 90 has been rounded to 1 significant figure.


What is the lower boundary of the number?

a)

90.5

b)

100

c)

95

d)

85

5.

The weight of a pram is 10 kg, correct to the nearest kg.


Find the greatest possible weight of the pram.

a)

11 kg

b)

10.4 kg

c)

10.5 kg

d)

9.5 kg

6.

The length of a card is 20.5 cm to the nearest tenth of a cm.

The interval on the number line below shows all the possible real lengths of the card.

Which of the following is/are correct for the value of C and E?

[You can choose more than one possible answer]

a)

C = 20.40

b)

C = 20.45

c)

E = 20.60

d)

E = 20.55

7.

A rectangular plot of land has sides with lengths of 38 m and 52 m correct to the nearest m.


Calculate the maximum possible values of the perimeter of the rectangle.

a)

180 m

b)

147 m

c)

91 m

d)

182 m

8.

Hannah measures with a ruler that has marks every 0.1 cm. She says that the lengths of the side of a rectangle are 8.5 cm and 12 cm correct to 1 decimal place.


Calculate the minimum possible values of the perimeter of the rectangle.

a)

20.4 cm

b)

39.9 cm

c)

40.6 cm

d)

40.8 cm

9.

the weight of a potatoes is 25 kg correct to the nearest kG /write down the smallest possible weight of the of bag /and also in largest

a)

smallest24.5/largest25.5

b)

smallest23.6/largest29.5

c)

smallest24.5/largest25.5kg

d)

kjjnejneqovmqeo

10.

find the upper and lower bounds in each case 121(nearest hole number)

a)

,hvouiewmkgi

b)

111≤121<131

c)

120.5≤121<121.5

d)

120≤121<122

11.

find the upper and lower bounds in each case 305 (nearest 5)

a)

300≤305<310

b)

302.5≤305<307.5

12.

find the upper and lower bounds in each case 700(nearst100)

a)

600≤700<800

b)

650≤700<850

13.

find the upper and lower bounds in each case 0.3(one dp)

a)

oiegkrgeklmemg

b)

0.2≤0.3<0.4

c)

0.29≤ 0.3<0.4

d)

0.25 ≤ 0.3<0.35

14.

the mass of the girl is 60 kg her estimate is correct to the nearest 10 kg between what limits does the actual mass girl lie

a)

50.5≤60<70.5

b)

55≤60<65

c)

50≤60<70

15.

The following number has been rounded to 1 significant figure.


0.8


Find the upper bound...

a)

0.85

b)

0.75

c)

0.849

d)

0.749

16.

The following number has been rounded to 1 significant figure.


0.8


Find the lower bound...

a)

0.85

b)

0.75

c)

0.849

d)

0.749

17.

The following number has been rounded to 1 significant figure.


0.08


Find the upper bound...

a)

0.085

b)

0.075

c)

0.0849

d)

0.0749

18.

The following number has been rounded to 1 significant figure.


0.08


Find the lower bound...

a)

0.085

b)

0.075

c)

0.0849

d)

0.0749

19.

The following number has been rounded to the nearest metre.


200m


Find the upper bound...

a)

200.5m

b)

205m

c)

250m

d)

204.5m

20.

The following number has been rounded to the nearest 10 metres.


200m


Find the upper bound...

a)

200.5m

b)

205m

c)

250m

d)

204.5m

21.

The following number has been rounded to the nearest 10 metres.


370m


Find the upper bound...

a)

375m

b)

370.5m

c)

370.05m

d)

375.5m

22.

The following number has been rounded to the nearest metre.


370m


Find the upper bound...

a)

375m

b)

370.5m

c)

370.05m

d)

375.5m

23.

The following number has been rounded to the nearest metre.


125m


Find the upper bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

125.05m

24.

The following number has been rounded to the nearest 5 metres.


125m


Find the upper bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

125.05m

25.

The following number has been rounded to the nearest 5 metres.


125m


Find the lower bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

124.5m

26.

The following number has been rounded to the nearest 5 metres.


300m


Find the upper bound...

a)

302.5m

b)

297.5m

c)

300.5m

d)

299.5m