Банкова НумералсНумберс Анд Фигурес ин Профессионал 2011
.pdfup or down. You’d probably round up that number to two decimal places, to give you zero point zero four. Now, you might say the difference is negligible – it’s so small it’s not going to affect anything. But even if it’s just a tiny fraction of a unit – one hundredth of an inch, or one thousandth of an inch – and those numbers are then used in calculation, the rounding error can very quickly add up to give bigger inaccuracies.’
b) Complete the descriptions of the numbers using words from the text above.
1. |
0.25 = 1/4 |
The first number is a decimal, and the |
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second is a |
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2. 0.638 = 0.637 |
The second number is ------------ ------ |
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---- to three ------- |
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3. |
7.5278 = 7.5 |
The second number is ----------- ------- |
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---- to one ------------- |
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4. |
8; 26; 154 |
The numbers are not fractions or de- |
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cimals. |
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They’re ------------- |
numbers. |
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5.Error: 0.00001 % |
The error is so small that it’s ----------- |
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-----. |
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6.0.586 kg x 9,000 = 5,274 kg |
--------The difference is the result of a |
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0.59 kg x 9,000 = 5,310 kg. |
-------. |
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Exercise 29
a) In the table you will find information on three motorcycles. Read the information carefully, than answer the questions:
1.Which is the most powerful?
2.Which is the lightest?
3.Which is the slowest?
4.Which uses the widest tyres?
5.Which needs the least garage space?
6.Which has the largest fuel tank?
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7.Which is the heaviest?
8.Which goes the fastest?
9.Which is the most expensive?
10.Which consumes the least fuel?
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Name of model |
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Data |
Mobiljet |
Scootship |
Tomita 50 |
c.c. |
49.9 |
49.95 |
49 |
max. brake horsepower |
0.5 b.h.p. |
0.7 b.h.p. |
0.6 b.h.p. |
max. speed |
80 k.p.h. |
95 k.m.h. |
85 k.m.h. |
fuel tank capacity |
3.45 litre |
3.75 litre |
3.25 litre |
weight |
60 kilos |
60 kilos |
55 kilos |
length |
1 m 78 |
1 m 82 |
1 m 65 |
fuel consumption |
2.8 |
3.2 |
3 |
(litres per 100km) |
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tyre size (in inches) |
2.5 x 17 |
3.0 x 10 |
2.25 x 17 |
steepest slope climbed |
25% |
28.8% |
30 % |
price |
£400 |
£750 |
£525 |
b) The Biker, a motorcycling magazine, asked owners of the three machines to fill in a questionnaire answering the basic questions Are you satisfied with your bike? In the results below, the % figures in each case represent the percentage of satisfied owners.
According to the questionnaire results:
1.Which is the most attractive bike?
2.Which is the easiest to maintain?
3.Which is tougher, the Scootship or the Tomita 50?
4.Which accelerates the fastest?
5.Which is noisier, the Mobiljet or the Tomila 50?
6.On which bike would you rather be a passenger, and why?
7.If there is a strong wind, which bike is the most dangerous?
8.Why do you think Mobiljet owners are satisfied with the price?
9.Why do you think Tomita 50 owners are the most satisfied with the after-sales service?
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10. Suppose you were the promotions manager in each of the companies above. On the basis of the questionnaire results, what recommendations to your boss would you make for the improvement of each model?
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Name of model |
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Question |
Mobiljet |
Scootship |
Tomita 50 |
finish/ looks? |
55% |
79% |
75% |
easy to maintain? |
77% |
77% |
84% |
toughness? |
58? |
87? |
79? |
acceleration? |
44% |
58% |
57% |
engine noise? |
66% |
75% |
78% |
passenger comfort? |
27% |
64% |
58% |
stability? |
52% |
75% |
67% |
price? |
76? |
53? |
64? |
after-sales service? |
38% |
59% |
64% |
III. Communication activities
Exercise 30
Flight departures.
Work in pairs. Ask each other questions to complete the boards, e.g.,
What’s the number of the Sydney flight? What’s the destination of flight JL402?
Student A: Use this Departure Board.
FLIGHT |
DESTINATION |
DEPARTURE TIME |
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SYDNEY |
3:30 |
JL402 |
TOKYO |
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CI642 |
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4:05 |
UA901 |
NEW TORK |
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KE908 |
SEUL |
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5:25 |
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5:45 |
Student B: Use this Departure Board. |
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FLIGHT |
DESTINATION |
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DEPARTURE TIME |
QF543 |
SYDNEY |
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TOKYO |
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3:55 |
CI642 |
TAIPEI |
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UA901 |
NEW YORK |
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5:15 |
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5:25 |
CX250 |
HONG KONG |
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5:45 |
Exercise 31
The diagrams below show average consumer spending in the USA and Germany.
Work in pairs. Ask and answer questions about them, e.g.,
How much do they spend on food and drink in the USA?
Student A: Ask questions about Germany and answer questions about the USA.
U.S.A
100%
19.5% |
14.7% |
14.8% |
25.5% |
25.5% |
Student B: Ask questions about the USA and answer questions about Germany.
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Germany
100%
20.3% |
3.2 % |
15.6% |
21.4% |
39.5% |
housing, energy
health
transportation, communication
leisure, other
food, drink, clothing, household goods
Exercise 32
Work in pairs. You have information about two scanners. Role-play a customer and a sales person, ask questions and complete the tables. Then compare the two scanners. Which is more expensive? faster? bigger? has the longer/better warranty etc.?
Student A: Dev-Scan 4800.
Width |
240 mm |
Depth |
346 mm |
Thickness |
21 mm |
Speed (2400 dpi color 8”x10”) |
57 seconds |
Resolution |
1200x2400 |
Warranty |
2 years (parts only) |
Price |
$89 |
Special features |
Separate power supply FireWire, USB |
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Student B: CrystalScan X.
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Width |
248 mm |
Depth |
352 mm |
Thickness |
30 mm |
Speed (2400 dpi color 8”x10”) |
1 minute 13 seconds |
Resolution |
1200x2400 |
Warranty |
3 years (parts only) |
Price |
$75 |
Special features |
Power via USB |
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Transparency scanner – optional |
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extra |
Exercise 33
Work in pairs. Look at the tables below. Ask each other questions to complete these tables, e.g.,
What’s the price of a …? What’s the general tax rate…?
Student A.
the general tax rate in Britain |
29% |
today’s U.S. dollar rate for the yen |
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the departure time for the BA503 flight to Tokyo |
2:15 |
the price of a photocopier |
$2,650 |
the exchange rate for the Malaysian dollar |
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last year’s earnings of AGM Foods |
$317,000,000 |
the date of Thanksgiving |
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the rent of your Los Angeles office |
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today’s interest rate at Citibank |
7.5% |
Student B. |
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the general tax rate in Britain |
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today’s U.S. dollar rate for the yen |
¥133.14 |
the departure time for the BA503 flight to Tokyo |
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the Price of a photocopier |
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the exchange rate for the Malaysian dollar |
$2.741 |
last year’s earnings of AGM Foods |
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the date of Thanksgiving |
the 4th Thursday |
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in November |
the rent of your Los Angeles office |
$16,000 per |
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month |
today’s interest rate at Citibank |
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Exercise 34
Try some math games with a partner. A calculator will make this easier.
Student 1
Write 6,174 on a piece of paper. Don’t show your partner. Give instructions to your partner.
Instruction |
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Example |
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A. You can use a calculator. Pick four numbers |
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between 0 and 9 and don’t tell me them. |
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7 – 8 – 2 – 3 |
B. Arrange them to make the largest possible |
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number. |
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8,732 |
C. Now arrange them to make the smallest num- |
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ber possible. |
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2,378 |
D. Subtract the smaller number from the larger |
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one. |
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8,732-2,378= 6,354 |
E. Take the answer, and arrange the numbers to |
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make the largest possible number. |
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6,543 |
F. Now make the smallest possible number. |
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3,456 |
G. Subtract the smaller from the larger. |
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6,543−3,456=3,087 |
H. (If the answer is not 6174) Repeat stages E |
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to G. |
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8,730−0378=8,352 |
I. (If the answer is still not 6174). Repeat stages |
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E to G again. |
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8,532−2,358=6,174 |
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Student 2
Give instructions to your partner.
Instruction |
Example |
A.You can use a calculator. Tell your partner to |
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key in his number: 37,037 (thirty seven thou- |
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sand and thirty-seven) |
37,037 |
B. Ask your partner to choose any number be- |
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tween 1 and 9. |
5 |
C. Tell your partner to multiply the number in |
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B by three. |
5x3=15 |
D. Then tell him/her to multiply 37,037 by the |
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answer to section C. |
37,037x15 |
E. The answer will be the number in B in a row. |
555,555 |
F. Repeat A to E with a different number in B. |
9 |
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9x3=27 |
G. Check that this works with every number. |
37,037x27=999,999 |
4 |
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4x3=12 |
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37,037x12=444,444 |
Did the game work? Did you get the right results? Do you know any other math games?
Exercise 35
A. Go to http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i17/bk8_17i 4.htm
and do the exercises.
B. Go to http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/fra ctions/fractionsofquantities/ and do the exercises you find particularly interesting and useful.
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IV. Writing and translation
Exercise 36
Write the highlighted numbers in words rather than in figures and symbols.
1.In the World Cup Final of 1994, Brazil beat Italy 3-2 in a penalty shoot-out. After 90 minutes the score was 0-0; and it remained the same
after 30 minutes of extra time, but then Italy won 3-2 in the penalty shoot-out. This was the 4th time that Brazil had won the World Cup.
2.Ivanisevic lost to Sampras in the 2nd round. He won the 1st set 6-4, but then lost the 2nd set on a tie-break. After that, Sampras dominated the rest of the match and won easily. The final score was 4-6, 7-6, 6-1,
6-2.
Exercise 37
Write the highlighted dates in words. Read the passage aloud.
Romanesque is the term used to describe the style of architecture which arose in western Europe towards the end of the 9th century and which lasted till the rise of Gothic in the 12th century. And appreciation of the Romanesque style is hardly found before the 20th century. In the 18th century it was fashionable to dismiss all medieval arts with a patronizing smile, while even in the 19th century, Romanesque architecture was regarded as a mere prologue to the study of Gothic.
Exercise 38
Complete the second sentence so that it has a similar meaning to the first sentence.
1.Over the years I have acquired a sixth sense about my mother’s mood.
– Over the years I ______________________ about my mother’s mood.
2.Without second thoughts he said, “Marry me!”
–____________________ he said, “Marry me!” 3. The boy slopped through the ledge on all fours.
–The boy slopped through the ledge __________.
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4. I began, as they say, to put two and two together.
– I began, as they say, _______________________.
5.She is a second cousin of Mark’s father.
– She is _____________ of Mark’s father.
6.Jane’s been on cloud nine since she got engaged.
– Jane ________________ since she got engaged.
7.He said: “Let me have $100 in tens and the rest in twenties.
–He said: “Let me have $100 ______________________________. 8. I think everybody deserves a second chance.
–I think everybody deserves _____________________.
9.It’s said that everything goes in threes.
–It’s said that _____________________.
10.It was a fifty-fifty chance of winning.
–It was _________________________.
Exercise 39
Look at the charts of two people’s monthly expenditure, and make sentences.
e.g.
John spends twice as much on food as he used to/ he did last year. David spends 50% more on food than John does.
David spends nearly three times as much on transport as John does.
EXPENDITURE PER MONTH
John |
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Last year |
Now |
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Food |
£100 |
£200 |
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Transport |
£40 |
£120 |
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Entertainment |
£100 |
£150 |
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Accommodation |
£200 |
£200 |
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Salary |
£500 |
£990 |
David |
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Now |
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Food |
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£300 |
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Transport |
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£350 |
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Entertainment |
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£900 |
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Accommodation |
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£1000 |
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Salary |
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£3000 |
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