- •Contents
- •Пояснительная записка
- •Vocabulary
- •Careers in Mathematics and Physics
- •Job Description
- •Vocabulary
- •2.1. What do you know about the latest inventions in mathematics and physics? Do these inventions help mankind? Why / Why not?
- •2.2. Read the text. What is the main idea of the text? What all the "God particle" hoopla was all about?
- •2.3. Сhoose the correct answer.
- •2.6. Match the following words in a with the words of the similar meaning in b.
- •2.7. Search the Internet and find more information about different Nobel prizes in Physics. Make a presentation. (See Appendix 1)
- •2.8. Read the text. What is the main idea of the text? The world's smallest electric motor
- •2.9. Decide if the statements are true (t) or false (f).
- •2.10. Find the following phrases in the text.
- •2.11. Translate the words. Match the words with the similar meaning.
- •2.12. Read the summary of the text above. Put the words (on the right) into the gaps (on the left).
- •2.13. Search the Internet and find out more about Dr Sykes’ nanotechnology device. Share what you discover with your partner. Make a presentation about nanotechnology. (See Appendix 1)
- •2.14. Answer the questions.
- •2.15. Make a summary of the texts. (See Appendix 4)
- •Vocabulary
- •The mathematical sciences in everyday life
- •Shanghai students are the world's best at maths
- •3.4. Translate the words. Find the words with the similar meaning on the right.
- •3.5. Read the text and translate the words and phrases in bold. Geometry and Physics Interactions
- •3.6. Read the definitions and find the words/phrases in the text above.
- •3.7. Answer the questions.
- •3.8. Translate the sentences.
- •Mathematical physics
- •3.10. Make a translation of the texts.
- •Famous Puzzles
- •Weighing the Baby Puzzle
- •A Question of Time Puzzle
- •Outwitting the Weighing Machine Puzzle
- •1) Weighing the Baby Puzzle
- •A Question of Time Puzzle
- •Outwitting the Weighing Machine Puzzle
- •Welcoming
- •Introducing yourself
- •Introducing your presentation
- •Explaining that there will be time for questions at the end
- •Interests:
- •Bibliography
- •Web-sources
- •Recommended sources
- •625003, Г. Тюмень, ул. Семакова 10
1) Weighing the Baby Puzzle
Answer: The scales show their combined weight to be 170 pounds, and as the lady weighs 100 pounds more than the combined weight of the dog and baby, she must have weighed exactly 135 pounds. As the dog weighed 60 percent less than the baby, we can readily see that the baby weighs 25 pounds and the dog but 10 pounds.
A Question of Time Puzzle
Answer: Say answer is "8 hour X minute". According as proposition, the angle between the minute hand and "mark 4" of the watch is equal to the angle between the hour hand and "mark 8" of the watch.
We know in 60 minutes the minute hand makes 360 degrees (360/60=6 degrees per minute) and the hour hand makes 360/12=30 degrees (30/60=1/2 degrees per minute).
Therefore, (20-X) minutes corresponds to 6(20-X) degrees (this is the angle between the minute hand and "mark 4"). And in X minutes the hour hand makes X/2 degrees with "mark 8".
Thus, X/2=6(20-X) gives X=18 minutes 27 and 9/13 second.
So, the answer is 8 hour, 18 minutes, 27 9/13 second.
Outwitting the Weighing Machine Puzzle
Answer: Let e > d > c > b > a be the girls weights. NB no two girls have the same weights, otherwise there would have been duplicate weighings. e+d must be the heaviest and e+c the second heaviest weighing. a+b must be the lightest and a+c the second lightest weighing. It might be the a+d or b+c could be next, fortunately we don't need to know. The sum of the weighings is 1212 and each girl is weighed four times => a+b+c+d+e = 1212/4 = 303 c = (a+b+c+d+e) - (a+b) - (d+e) = 303 - 114 - 129 = 60 a+c = 116 => a = 116 - 60 = 56 a+b = 114 => b = 114 - 56 = 58 c+e = 125 => e = 125 - 60 = 65 e+d = 129 => d = 129 - 65 = 64 So the girls weights are: 56, 58, 60, 64 and 65.
Betty, Carol and Dan work in Administration department. Earl works in the Marketing department.
The Spanish ship goes to Port Said and the French ship carries tea. However, tea can be carried by the Brazilian ship, too. If you understood position 'to the right' to mean anywhere on the right side from the given point (not only right next to).
French |
5:00 |
tea |
blue |
Genoa |
Greek |
6:00 |
coffee |
red |
Hamburg |
Brazilian |
8:00 |
cocoa |
black |
Manila |
English |
9:00 |
rice |
white |
Marseille |
Spanish |
7:00 |
corn |
green |
Port Said |
Appendix 1. Making a presentation: language and phrases
This is a list of phrases to help you make a professional presentation in English.
Good presenters always use language (sometimes single words, sometimes phrases) which shows where they are in their presentation. These ‘signposts’ make it easier for the audience to:
follow the structure of the presentation
understand the speaker more easily
get an idea of the length and content of the presentation.
The sentences and phrases below follow the logical progression of a well-balanced presentation.
Welcoming
Good morning and welcome to (name of company, name of conference hall, hotel, etc.).
Thank you all very much for coming today.
I hope you all had a pleasant journey here today.