Unit 2: Section 1 - Standard Form With Negative Indices Examples And Worksheets Page 13
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1411 Divide $400 in the ratio of 2 : 3.
12 Divide 360 minutes in the ratio of 4 : 5.
13 Divide £133 in the ratio of 1 : 2 : 4.
14 Divide 352 km in the ratio of 2 : 3 : 6.
Write the following in standard form correct to 3 significant figures.
15 0.012 345
16 0.012 355
17 0.000 159 5
18 0.008 888
19 (1.25 3 10
) 3 (3.45 3 10
5
)
20 (7.58 3 10
) 3 (1.35 3 10
12
)
22
25
21 (7.25 3 10
22 (8.5 3 10
) 3 (3.45 3 10
)
) 3 (3.45 3 10
)
23
210
22
27
23 (1.25 3 10
) 4 (3.45 3 10
5
)
24 (7.58 3 10
) 4 (1.35 3 10
12
)
22
25
25 (7.25 3 10
) 4 (3.45 3 10
)
26 (8.5 3 10
) 4 (3.45 3 10
)
23
210
22
27
27 Four tonnes of limestone blocks cost $600. Find the cost of
a 1 tonne
b 11 tonnes
c 500 kg.
28 Seven identical pens cost €8.40. Find the cost of
a one pen
b five pens.
c a dozen pens.
29 Stella Pajunas typed 216 words in 1 minute in Chicago, U.S.A. to set a new world record. If
she maintained this rate, how many words would you expect her to type in
a 45 seconds
b 50 seconds
c an hour?
30 Avind Pandya of India ran backwards from Los Angeles to New York, U.S.A. in 107 days
covering 5000 km.
a If he maintained this rate, how far would you expect him to travel in
i 1 day
ii a year?
b How long would it have taken him to travel
i 10 km
ii 3500 m?
c Calculate his speed in mm/sec writing your answer in standard form to 3 significant
figures.
Exercise XX* (Revision)
Calculate the following, showing all of your working.
2
5
3
1
4
2
4
2
3
__
___
__
__
__
___
__
__
___
1
2
3
3
3
1
2
4
3
5
11
8
3
7
15
5
7
14
(
)
2
1
3
__
__
1
_
1
_
_
1
_
1
_
1
_
1
4
5 1 3 1
3 1
3 1
3 1
3 1
3 1
4
7
5
2
3
4
5
6
7
2
2
(
)
(
)
_
_
3
3
6
2
1
4
7
7
7 The ratio of 5 : x is equal to the ratio of x : 20. Calculate the value of x.
8 A bed of roses consists of m roses. The ratio of pink roses to white roses is 2 : 3.
Find the number of pink roses expressed in terms of m.
9 Xavier, Yi and Zazoo decide to share their lottery winnings of £11 000 such that Yi has
three times as much as Zazoo and Xavier has a half of Yi’s winnings.
How much should each receive?
10 The plan for an office block is produced to a scale of 1 : 50.
a Find the length, in mm, which represents the height of the building on the plan if the
actual height is 25 m.
b Find the area of the actual front door, in m
2
, if the door on the plan has an area of
80 cm
2
.
22
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