Download Task 1

UNIVERSITY OF MONTENEGRO
INSTITUTE OF FOREIGN LANGUAGES
ENGLISH LANGUAGE TEST – coll. 1
Name ________________________
Index
_______
Faculty ____________________
Task 1
Read the text and decide which answer best fits each space.
A vector can be multiplied by a scalar. The components of the vector are multiplied by the scalar and the result is a scaled vector which is in the
same direction as the _______________ vector if the scalar is positive or in the _______________ direction if the scalar is negative. A vector can
also be multiplied by another vector. Two types of vector multiplications have been defined, the scalar product and the vector product. The scalar
product or dot product A×B of two vectors A and B is not a vector, but a scalar _______________ (a number with units). In terms of the
Cartesian components of the vectors A and B the scalar product is _______________ as A×B = AxBx + AyBy + AzBz. The scalar product of two
vectors A and B is a scalar quantity equal to the product of the magnitudes of the two vectors and the cosine of the smallest angle between them.
The scalar product is commutative, A×B = B×A. When we form the scalar product of two vectors, we multiply the parallel component of the two
vectors. Many physical quantities of interest _______________ by forming the scalar product of two vectors.
1. A. product
2. A. opposite
3. A. scope
4. A. written
5. A. calculates
B. unit
B. distant
B. set
B. writing
B. are calculated
C. original
C. reverse
C. quantity
C. writes
C. calculating
D. derivative
D. complete
D. quality
D. wrote
D. calculated
5
Task 2
Translate these sentences.
1. There are surfaces which cannot be embedded in three-dimensional Euclidean space without introducing singularities or intersecting itself —
these are the unorientable surfaces.
____________________________________________________________________________________________________________________
2. Surfaces find application in physics, engineering, computer graphics, and many other disciplines, primarily when they represent the surfaces of
physical objects.
____________________________________________________________________________________________________________________
3. Two noncollinear (non-parallel) vectors define a plane, and there are two ways to erect a third vector perpendicular to that plane (and, hence,
to the two given vectors.)
___________________________________________________________________________________________________________________
4. The distributive law implies homogeneity (provided, of course, we first establish some kind of continuity. But this is feasible: small changes in
either a or b result in small changes of the area of the parallelogram they define.
_________________________________________________________________________________________________________________
5. A simplified real world example of a differential equation is modeling the acceleration of a ball falling through the air (considering only gravity
and air resistance).
____________________________________________________________________________________________________________________
5
Task 3
Read the passage and fill in the gaps.
In mathematics, more specifically topology, a manifold is a mathematical _______________ in which every point has a neighborhood which
"resembles" (i.e., is homeomorphic to) Euclidean space. The dimension of a manifold is identified with the dimension of the Euclidean spaces to
which it is _______________: thus lines are one-dimensional, planes are two-dimensional, and so forth. Although a manifold resembles
Euclidean space _______________, the global structure of the manifold may be much more complicated. For example, any point on the (twodimensional) sphere has a small region _______________ it that can be mapped onto a region of the plane (as in an atlas of the world), even
though the sphere does not actually resemble the plane in the large, that is, it is not ________________ to the plane.
space
completely
region
surrounding
compared
forming
assigned
homeomorphic
locally
collinear
5
Task 4
Explain cross product.
5
GRAMMAR SECTION
Task 5
Complete the sentences using one of the following words. Use a/an where necessary.
accident
coat
key
sugar
music
1. It wasn't your fault. It was ____________________.
2. Listen! Can you hear _______________?
3. I couldn't get into the house because I didn't have _______________.
4. It's very warm today. Why are you wearing _______________?
5. Do you take _______________ in your coffee?
Task 6
Use the correct relative pronoun. Indicate where the pronoun can be omitted (-).
1. The book ________________ I got from the library is due tomorrow.
2. My father, _______________ I love a lot, congratulated me on a job well done.
3. I am always frustrated by people _______________ talk while watching a movie.
4. The store no longer sold the computer _______________ I wanted.
5. We walked past the church in ________________ I was baptized.
Complete the sentences with a verb from the box in either its present or past participle form.
ruin
finish
steal
say
feel
1. Jo was in a bad mood for the whole week , completely ______________ our holiday.
2. After ________________ her exams, Maggie went out to celebrate.
3. Jewelry _______________ in the robbery has never been recovered.
4. I got a letter from the Tax Office _______________ that I owe them 1.000 pounds.
5. ________________ hungry, I decided to make myself a sandwich.
Task 7
Choose the correct form of the verb.
1. A
B
Why are you working so hard these days?
Because I ____________________ (buy) a car, so I’m saving as much as I can.
2. A
B
A
B
What ____________________ (you, buy) Jill for her birthday?
Some chocolates.
She doesn’t like chocolate.
Oh. I _________________ (buy) her a book, then.
3. A
B
Dad, can you mend this for me?
I can’t, sorry. Ask Mum. She ________________ (do) it for you
4. A
B
Why are you cooking so much food?
Because some friends ____________________ (come) for supper
20
Total
40