FURTHER EXERCISES

1) Write a coherent text (a text whose propositions are logically connected) describing the graph below. You must write an introduction, describe the data section and write an appropriate conclusion.

2) Fill in the gaps according to the graph below:

IntroductionThis report examines the changes in the total property crime rate and the break and enter rate between 2000 and 2007.

Body of the textIn 2000 the total property crime rate was 2500 offences per 100 000 population. Then the rate 1) rose ………..(sharply/sharp) and reached 3800 in 2001. After a 2) ……….. (moderate/moderately )fall in 2002, the rate started to 3) ………. (increase/decrease) again and reached a 4) …….. (peak/top) in 2003. However, after 5) ………

(stabilizing/fluctuating ) for some months, the total property crime rate dropped 6) ………..(considerably/considerable) throughout 2004 and the beginning of 2005. The rate stayed at about 2400 offences from mid-2005 7) ……….(to/until) mid-2006 before 8) …………(decreasing/decrease) again.

In 2000 the break and enter rate was about 760 offences per 100 000 population. 9) From(From/since) 2000 to 2003, there was a steady 10)………….(upward/downward)trend in the B rate. The rate 11)………(reached/arrived) its highest point in 2003 and then 12) …………..(showed/fell) a significant downward trend until mid-2005. After being stable for a few months, the rate continued to fall 13 ………….(slightly/slight), dropping to around 780 in 2007.

Conclusion The total property crime rate fluctuated from 2000 to 2003, whereas the break and enter rate showed a general upward trend. Both rates peaked in 2003, fell significantly until mid-2005, stabilized for some months and 14) ………..(fell/grew) slightly during 2006 and 2007 .

  

3. Read the following text and draw the corresponding graph.

The graph below covers the years 1976 to 1995. It shows that the number of television viewing hours rose steadily and steeply during that period in the US, starting at just under 5 hours a day to reach more than 7 hours in 1995. There was a slight increase in 1982 and sharper falls in 1986 and 1991. The next decrease, in 1994, is hardly significant. Though we do not have the latest figures, it is unlikely that the trend will have reversed.

4) Comment on the graph on the right using and organizing the following expressions :

Sales rose / went up /increased / climbed ...

+ adverb (slowly / steadily /rapidly / gradually ...)

Sales stood at ...

Sales peaked / peaked out

Sales levelled out / flattened out

Sales bottomed out

This was due to ...

This was the result of ...

This caused ...

This led to ...

5) Look at the graphs and write the appropriate letters in front of each definition. Then match them into a coherent 15-line text using all that you have learned so far about graphs.

: the horizontal axis ( or the x axis) : a solid line

: the vertical axis (or the y axis) : a broken line

: the scale : a dotted line

6) Label the axes and describe the graph. You must write a coherent text with an introduction/data description/conclusion layout.

7) Describe the following graph writing a coherent text.

8) Describe the following chart writing a coherent text

9) Describe the following graphs writing ONE coherent text.

10) Describe the following surface graph labeling the axes and writing a coherent text.

11) The surface graph below shows the magneto-resistive ratio as a function of the Co and Cu layer thicknesses. Knowing that the mesh’s intersection points of the 3D surface depicted correspond to the geometrical parameters of the systems considered, write a coherent text describing the graph. (From “Co/Cu Nanowire Systems for GMR Sensing Applications” by Daniele Pullini, David Busquets Mataix and Alessio Tommasi, C BY-NC-SA 3.0 2011).

12) Think of a phasor as a rotating vector and write a coherent text including the graph below:

13) Write ONE coherent text describing the two graphs below including an introduction and a conclusion.

14) Write a coherent text describing the graph below

15) Write a coherent text describing the graph below including the equations following an introduction/body of the text/conclusion layout.

16) Consider units of productions against time. Match the following sentences to appropriate graphs to be drawn.

1. Production started climbing steadily butflattened off at a level of around 70. Since then,it has fallen steadily.2. Production grew more and more rapidly overthe first three quarters but then reached a peak.Since then, it has quickly dropped.3. Production grew rapidly in the first quarter,but reached a plateau of about 70. Since then ithas remained more or less stable.4. Production has dropped slowly but steadilyover the year.5. Production started the year in a stableposition, but then plunged in the third quarter. Ithas now flattened out at a level of 20.6. Production fell considerably over the firstthree quarters, reaching a low of 20. Since then

it has staged a partial recovery.7. Production has fluctuated all year.8. Production started off steady, but fell sharplyin the last quarter.9. Production showed a marginal rise in the firstthree quarters, but then suffered a sharp drop.10. After a considerable drop in the first twoquarters, production bottomed out at 20. Sincethen it has started to rise.11. Production has experienced a strong, steadygrowth over the whole year.12. There has been a slight increase inproduction over the year.13. There was a rapid drop in production in thefirst quarter, but it bottomed out at about 20.

17) Match sentences 1-12 below with the drawings A-K. You can use some of the drawings  more than once.

1. The market is showing some signs of growth.2. The market is extremely volatile.3. The pound slipped back against the dollar.4. The Swiss franc is staging a recovery.5. The lira lost ground slightly.6. There's been a dramatic downturn in the market.7. There's been an upsurge of interest in gold.8. The share price bottomed out at 115p.9. Sugar peaked at $400 a tonne.10. Profits will level off at around $10,000.11. Sales hit an all-time low.12. There hasn't been much movement in the price of tin

18) Match the words below to the drawings by putting them in the table under the correct number:slump, rise, recover, plunge, pick up, plummet, drop, soar, bounce back, take off, climb, rally, fluctuate, fall, stabilize, slide, flatten out, crash, hold steady, escalate, decline, rocket, dip

1 2 3 4 5 6 7

19) Write 150 words to describe this process. Title of the text: “Recycling Car Batteries”.

 

20) Sentences without numbers.

In writing about graphs, information is often given in two-sentence pairs: one sentence with the idea but no numbers, followed by a sentence with numbers or specific information.

For example:

Main idea sentence (no number): Texting has become more common in the USA.

Supporting information (numbers): In 2010, over 173 billion text messages were sent every month, compared to just 7.2 billion a month in 2005.

Write short main idea sentences BEFORE each of the sentences below. There should be no numbers in your sentences. The first one is done as an example.

1. In 2009/10, almost 9 in 10 (89 per cent) of adults aged 16 and over in England watched television in their spare time (SOLUTION: Many English people watch television in their free time).

2. In 2009/10, adults in the UK aged 16 and over spent an average of 3 and a half hours a day watching television, 2 and a half hours using a computer and 1 hour listening to radio

3. In 2009, UK teenagers and young adults aged 15 to 24 were the most frequent cinema goers, with 61 million cinema admissions

4. In 2009, almost all (98.0 per cent) of single music tracks were purchased digitally, with digital sales increasing by 91.9 per cent between 2007 and 2009

5. Sales of books by UK publishers fell by 5.9 per cent from 492 million books in 2007 to 463 million in 2009

6. Between 2005/06 and 2009/10 the proportion of adults aged 16 and over visiting a public library in England fell from 48 per cent to 39 per cent

7. In 2009, 22 per cent of children aged 8 to 16 stated they enjoy reading very much compared to 10 per cent who do not enjoy reading at all

8. In 2010, less than half of adults in Great Britain aged 15 and over read a national daily newspaper (41 per cent): on average since 1981 the proportion reading national newspapers has fallen by approximately 10 percentage points every 10 years.

21) Read paragraphs 1-5 below, which describe changes in company figures over six months from January to June. A quarter means three months. Match them to the pictures A-D. 

1. UK SALES: When demand decreased at the start of the year, UK sales fell sharply. They remained steady until April, then rose again dramatically in the second quarter when the market improved.

2. OUTPUT: The decrease in overseas sales caused a dramatic drop in output at the Birmingham plant in the first quarter. There was a steady increase in the second when domestic sales improved.

3. STOCK LEVELS: There was a steady decrease in stock levels at the Glasgow plant in the first quarter due to the introduction of a new inventory control system. The slight increase in the second quarter was due to the rise in output.

4. PROFITS: The profits of the plastics division have fallen steadily over the last five months due to the fall in demand and increases in production costs. The slight rise in profits last month was due to the recent price increases.

5. PROFIT MARGIN: A sudden jump in the production costs of our ACME washing machine caused a drop in the profit margin in the first quarter. The margin remained the same in the second, due to a sharp fall in the costs of components.

22) Write a text describing the following pie-chart.

23) Write one coherent text comparing hurricanes and tornadoes according to the table below.

 

Features Hurricances Tornadoes

Minimum wind speed 74 pmh 40 mphMaximum wind speed

of most severe storms

155-200 mph 250 - 300 mph

Classification Scale Saffir -  Simpson C1 - C5 Fujita F0 - F5

Duration 1 week averageMost only last a few

minutes, some up to a few hours

Average width of storm 300 miles

100 - 600 meters - some up to 1.5 km

wideAverage number per

year 100 worldwide 20 minutes or less

How long in advance can they be predicted

2-3 days for a wide area but can usually predict more exactly where

hurricane will hit 6-10 hours beforehand

20 minutes or less

Where they start Over warm oceans Usually over land 24) Label the axes and describe the graph. You must write a coherent text with an introduction/data description/conclusion layout.

25) Label the axes and describe the graph. You must write a coherent text with an introduction/data description/conclusion layout.

 26) RATE OF CHANGE PROBLEM. Consider the following scenario: you have a reversed cone like a cup whose both height and diameter of the top of the cup are 4 cm and you are pouring water into this cup at a rate of 1 cubic centimeter per second (1cm3/sec), and right at this moment there is a height of 2 cm of water in the cup. So, right at this moment, what is the rate at which the height of the water is changing? –that is, how fast is it changing? Solve the problem building up a coherent English text and appropriately fit the numerals and any diagrams within the text. Use the introduction/data description/conclusion layout.27) Plot any functions and its derivative and build up a coherent text to describe it.28) Build a text about the uses of limits and derivatives in function descriptions using all the spatial relations you have learned so far.

29) Build up a text corresponding to the question: “How would I find the delta for an epsilon of 0.01 for the limit as x approaches 2 of (x²-3)?”.

30) Write down five word-statements and the corresponding Math function like in “Molly charges $25 per hour for tutoring Chemistry with a minimum charge of $15”. Build up a coherent text about each statement.