Units Of Measurement And Applications Worksheet Page 41
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4410
The length and breadth of a rectangle were measured to be 6 cm and 4 cm.
a Calculate the perimeter using these measurements.
b Write the lower and upper limits of the true length and breadth.
c Find the lower and upper limits of its true perimeter.
d Hence, what is the maximum error in the answer in part a ?
e Calculate the area using the measurements given.
f Find the lower and upper limits of the true area.
g Hence, fi nd the maximum error in the answer to part e .
11
Write sensible approximations for the results of the following calculations.
a 17.3 m + 15.89 m
b 17.3 m × 15.89 m
12
Convert the following.
a 12 t/ha to kg/m
2
b 9 m/s to km/h
13
The ratio of boys to girls in a school is 8 : 9. If there are 256 boys, how many girls are there?
14
Divide $48 000 into two parts in the ratio 3 : 5.
15
a Increase 80 kg by 3%.
b Decrease $290 by 15%.
16
a
Find the percentage increase from $4.80 to $5.10 .
b Find the percentage decrease from 70 kg to 67.2 kg.
17
a What would be the value of a $25 000 vintage car after 2 years if it increases in value by 8% in the fi rst year
and then decreases in value by 5% in the second year?
b Calculate the overall percentage change in value over the 2 years.
18
The cost of 8 pens is $6.32. What is the cost of 5 pens?
19
Penny received a discount of $25.70 on a mobile phone. This was 5% of the original price. Find the original
price of the phone.
2B
REVIEW SET
1 Round 1472.634 to:
a the nearest 10
b 2 signifi cant fi gures
c 2 decimal places.
2 Express the following in scientifi c notation.
a 749 000
b 0.000 003
3 Calculate (1.4 × 10
) × (4.5 × 10
7
8
), expressing the answer in scientifi c notation.
4 Convert the following.
a 2.1 ha to m
2
b 780 mm
2
2
c 9 500 000 cm
3
3
d 72 cm
3
3
to cm
to m
to mm
5 Convert the following.
a 4.3 cm to μm
b 2 Tg to Mg
c 52 000 kL to ML
6 Write sensible approximations for the results of the following calculations.
a 15.36 m + 9.7 m + 11.62 m
b 16.5 cm × 4.7 cm
Chapter 2
Units of measurement and applications
75
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