......................................................................................... POSITION NR./VOLGNR.
FAM. NAME
INITIAL(S)
STUDENTNUMBER
Exam Mathematics for PreMSc
DATE 4.11.2011
DURATION: 3 hours.
English Version
INFORMATION:
1. A graphical calculator is not permitted.
2. The last sheet of this exam is empty; you may use it when there is not enough space in the
empty box below the question.
3. When you need extra scribbling paper you can get it. But do not hand it in.
4. Hand in only this exam! If you don’t throw away your scribbling sheets yourself, the examiner will do it.
The total number of points: 90p from the first 13 questions.
The last question is a bonus question (5 points).
Grade = 1+ points scored/10, rounded, but not higher than 10.
1
, EXAM QUESTIONS /TENTAMEN VRAGEN
a5 b−3 (1 − x2 )
1. (3p) Simplify as far as possible the following expression ; do not forget the conditions!
ba−2 (1 − x)
2. (3p) Factor as far as possible the following expression: y 2 x4 + 3y −1 x3 y 3 + 2x2 y 2 =
1
3. (3p) Rationalize (simplify by making the denominator rational) the following fraction √ √
2− 3
2
FAM. NAME
INITIAL(S)
STUDENTNUMBER
Exam Mathematics for PreMSc
DATE 4.11.2011
DURATION: 3 hours.
English Version
INFORMATION:
1. A graphical calculator is not permitted.
2. The last sheet of this exam is empty; you may use it when there is not enough space in the
empty box below the question.
3. When you need extra scribbling paper you can get it. But do not hand it in.
4. Hand in only this exam! If you don’t throw away your scribbling sheets yourself, the examiner will do it.
The total number of points: 90p from the first 13 questions.
The last question is a bonus question (5 points).
Grade = 1+ points scored/10, rounded, but not higher than 10.
1
, EXAM QUESTIONS /TENTAMEN VRAGEN
a5 b−3 (1 − x2 )
1. (3p) Simplify as far as possible the following expression ; do not forget the conditions!
ba−2 (1 − x)
2. (3p) Factor as far as possible the following expression: y 2 x4 + 3y −1 x3 y 3 + 2x2 y 2 =
1
3. (3p) Rationalize (simplify by making the denominator rational) the following fraction √ √
2− 3
2
