- SIMAK UI 222_Social Sciences
Student Test Number
:
........................................
Student Name
:
........................................
SOCIAL SCIENCES TEST
• Basic Mathematics
• Economics
• Indonesian and World History
• Geography
• Integrated Social Sciences
SIMAK UI
ENTRANCE TEST
UNIVERSITAS INDONESIA
2015
For Validation Purpose, Please Return The Exam Book.
GENERAL INSTRUCTIONS
8. Write your answers on the answer sheet provided.
1. Before you begin work on the test, check the number of
questions and the page numbers in the test booklet.
The booklet consists of a front page, a general
instructions page, an answer sheet, and 12 question
pages.
9. Since scrap paper is not provided, you can make use of
the empty space in your test booklet to do calculations.
Do not use the empty space on your answer sheet.
10. During the test, you are not allowed to ask or seek
explanation about the questions being tested to anyone
including the test supervisor.
2. The answer sheet attached to this booklet can only be
used for this test booklet. If you need a new answer sheet,
you should use the test booklet which the answer sheet
was attached.
11. When you have finished doing the test, you are required
to stay in your seat until the test supervisor approaches
you to collect the answer sheet.
3. You have to take the answer sheet from the test booklet.
If the top left of the answer sheet is damaged or torn, the
answer sheet still can be processed.
12. Make sure the answer sheet is not dirty, wet, folded, and
torn.
4. Write your student test number on the space provided in
the answer sheet.
5. Read carefully each and every instruction on how to
answer the questions.
6. Think carefully before answering every question,
because an incorrect answer will deduct 1 point from
your total score (scoring system: correct +4, blank 0,
incorrect –1).
7. Work on questions you find easy first, then continue with
harder questions.
SPECIFIC INSTRUCTIONS
INSTRUCTION A:
Choose the best answer.
INSTRUCTION B:
Each question consists of 3 parts, i.e. STATEMENT, CAUSE, and REASON that are arranged in sequence. Choose:
(A) If the statement is correct, the reason is correct, and both show a cause and effect relationship
(B) If the statement is correct, the reason is correct, but both do not show a cause and effect relationship
(C) If the statement is correct and the reason is incorrect
(D) If the statement is incorrect and the reason is correct
(E) If the statement and the reason are both incorrect
INSTRUCTION C:
Choose
(A) If (1), (2), and (3) are correct
(B) If (1) and (3) are correct
(C) If (2) and (4) are correct
(D) If only (4) is correct
(E) If all of them are correct
ii
iii
SUBJECTS
:
EXAM DATE
TIME
NO. OF QUESTIONS
:
:
:
Notes
:
Basic Mathematics, Economics, Indonesian and World History, Geography, and Integrated Social
Sciences
7 JUNE 2015
120 MINUTES
80
Questions on BASIC MATHEMATICS
Questions on ECONOMICS
Questions on INDONESIAN AND WORLD HISTORY
Questions on GEOGRAPHY
Questions on INTEGRATED SOCIAL SCIENCES
numbers
numbers
numbers
numbers
numbers
1
21
36
51
66
to
to
to
to
to
20
35
50
65
80
BASIC MATHEMATICS
Use Instruction A to answer question(s) number 1 to 14.
1. Consider an equation of the form x 2 +bx +c = 0, if b and
c are selected from the integers 1, 2, ..., 8. The number of
equations that have real roots is ... .
(A) 33
(B) 34
(D) 36
(C) 35
2. If x is integer, and (x + 2)4 + x 4 = 82, then (x + 1)2 = ... .
(D) 16
(B) 4
(C) 9
(E) 25
(A) −12
(B) −3
(C) −1
(D) 3
(E) 12
6. Ahmad gives Budi as many dinars as Budi has and
Cholid as many dinars as Cholid has. Similarly, Budi
then gives Ahmad and Cholid as many dinars as each
then has. Cholid, similarly, then gives Ahmad and Budi
as many dinars as each then has. If each finally has
8 dinars, then the dinars of which Cholid has at the
beginning is ... .
(E) 37
(A) 1
5. Let the functions 4x + b y = c and c x − 3y = 36 have the
same graph on x y-plane. The value of bc = ... .
3. If the roots of (m −1)(x 2 +bx) = (m +1)(ax −c) are equal
but have opposite signs, the value of m must be ... .
(A) −1
(A) 2
(B) 3
(D) 7
(E) 13
(C) 4
7. In a village, there are 40 people who work as farmers
and breeders. Of those 40 people, 18 are females, and 13
of those 40 people are farmers. The number of females
that are farmers, plus the number of males that are
breeders, is equal to 27. The number of females that
are farmers is ... .
(B) 1
a +b
a −b
a +b
(D)
b−a
a −b
(E)
a +b
(C)
(A) 8
(B) 9
4. If (x − 6)(x + 14) is the square of an integer, then
x − 14 = ... .
(A) 6
(D) 22
(B) 8
(E) 24
(D) 11
(E) 12
(C) 10
8. If the positive value of n which satisfies the equation
1
2
3
n
+ + +...+
= 12n is substituted back into the
12 12 12
12
equation, the value of 12n is ... .
(C) 10
(A) 143
(D) 1716
(B) 287
(E) 3444
(C) 430
© Universitas Indonesia
KKI SS
Page 1 of 12
9. The sum of the first 25 terms of an arithmetic sequence
with 50 terms is 400, meanwhile the sum of the next 25
terms is 2275. Then the first term of the sequence is ... .
(D) 10
(A) −50
(B) −20
(E) 20
13. In a training centre, a number of pairs of athletes have
3
been selected for mixed double pairs.
of the female
5
7
athletes are selected, meanwhile of the male athletes
9
are selected. Part of athletes which is not selected is
equal to ... .
(C) 5
(A)
10. If x k+1 = x k + 13 for k = 1, 2, ..., n − 1 and x 1 = 1, then for
n even, the value
µ
¶
¶ µ
x n +1 + x n +2 + ... + x n − x 1 + x 2 + ... + x n = ... .
2
2
(B)
(C)
2
n2
12
(n 2 + 5)
(B)
6
n
(C)
(n + 10)
24
n
(D)
(3n + 10)
24
(n + 2)
(E)
3
·
¸
·
¸
1 0
1 0
11. If A =
and I =
, then
0 2
0 1
¸
· x
x
2
0
(A + I )2015 =
. The value of = ... .
0 3y
y
(D)
(A)
(E)
10
31
21
31
9
14
27
35
27
62
14. Given a set H = {A, B,C , D, E }, the sum of all cardinal
numbers of each subset of H is ... .
(A) 32
(D) 80
(B) 35
(E) 81
(C) 70
Use Instruction C to answer question(s) number 15 to 20.
15. The values of x satisfying the following inequality
¯
¯
¯ 5x − 1 ¯
¯ 3
1
(4)
:
........................................
Student Name
:
........................................
SOCIAL SCIENCES TEST
• Basic Mathematics
• Economics
• Indonesian and World History
• Geography
• Integrated Social Sciences
SIMAK UI
ENTRANCE TEST
UNIVERSITAS INDONESIA
2015
For Validation Purpose, Please Return The Exam Book.
GENERAL INSTRUCTIONS
8. Write your answers on the answer sheet provided.
1. Before you begin work on the test, check the number of
questions and the page numbers in the test booklet.
The booklet consists of a front page, a general
instructions page, an answer sheet, and 12 question
pages.
9. Since scrap paper is not provided, you can make use of
the empty space in your test booklet to do calculations.
Do not use the empty space on your answer sheet.
10. During the test, you are not allowed to ask or seek
explanation about the questions being tested to anyone
including the test supervisor.
2. The answer sheet attached to this booklet can only be
used for this test booklet. If you need a new answer sheet,
you should use the test booklet which the answer sheet
was attached.
11. When you have finished doing the test, you are required
to stay in your seat until the test supervisor approaches
you to collect the answer sheet.
3. You have to take the answer sheet from the test booklet.
If the top left of the answer sheet is damaged or torn, the
answer sheet still can be processed.
12. Make sure the answer sheet is not dirty, wet, folded, and
torn.
4. Write your student test number on the space provided in
the answer sheet.
5. Read carefully each and every instruction on how to
answer the questions.
6. Think carefully before answering every question,
because an incorrect answer will deduct 1 point from
your total score (scoring system: correct +4, blank 0,
incorrect –1).
7. Work on questions you find easy first, then continue with
harder questions.
SPECIFIC INSTRUCTIONS
INSTRUCTION A:
Choose the best answer.
INSTRUCTION B:
Each question consists of 3 parts, i.e. STATEMENT, CAUSE, and REASON that are arranged in sequence. Choose:
(A) If the statement is correct, the reason is correct, and both show a cause and effect relationship
(B) If the statement is correct, the reason is correct, but both do not show a cause and effect relationship
(C) If the statement is correct and the reason is incorrect
(D) If the statement is incorrect and the reason is correct
(E) If the statement and the reason are both incorrect
INSTRUCTION C:
Choose
(A) If (1), (2), and (3) are correct
(B) If (1) and (3) are correct
(C) If (2) and (4) are correct
(D) If only (4) is correct
(E) If all of them are correct
ii
iii
SUBJECTS
:
EXAM DATE
TIME
NO. OF QUESTIONS
:
:
:
Notes
:
Basic Mathematics, Economics, Indonesian and World History, Geography, and Integrated Social
Sciences
7 JUNE 2015
120 MINUTES
80
Questions on BASIC MATHEMATICS
Questions on ECONOMICS
Questions on INDONESIAN AND WORLD HISTORY
Questions on GEOGRAPHY
Questions on INTEGRATED SOCIAL SCIENCES
numbers
numbers
numbers
numbers
numbers
1
21
36
51
66
to
to
to
to
to
20
35
50
65
80
BASIC MATHEMATICS
Use Instruction A to answer question(s) number 1 to 14.
1. Consider an equation of the form x 2 +bx +c = 0, if b and
c are selected from the integers 1, 2, ..., 8. The number of
equations that have real roots is ... .
(A) 33
(B) 34
(D) 36
(C) 35
2. If x is integer, and (x + 2)4 + x 4 = 82, then (x + 1)2 = ... .
(D) 16
(B) 4
(C) 9
(E) 25
(A) −12
(B) −3
(C) −1
(D) 3
(E) 12
6. Ahmad gives Budi as many dinars as Budi has and
Cholid as many dinars as Cholid has. Similarly, Budi
then gives Ahmad and Cholid as many dinars as each
then has. Cholid, similarly, then gives Ahmad and Budi
as many dinars as each then has. If each finally has
8 dinars, then the dinars of which Cholid has at the
beginning is ... .
(E) 37
(A) 1
5. Let the functions 4x + b y = c and c x − 3y = 36 have the
same graph on x y-plane. The value of bc = ... .
3. If the roots of (m −1)(x 2 +bx) = (m +1)(ax −c) are equal
but have opposite signs, the value of m must be ... .
(A) −1
(A) 2
(B) 3
(D) 7
(E) 13
(C) 4
7. In a village, there are 40 people who work as farmers
and breeders. Of those 40 people, 18 are females, and 13
of those 40 people are farmers. The number of females
that are farmers, plus the number of males that are
breeders, is equal to 27. The number of females that
are farmers is ... .
(B) 1
a +b
a −b
a +b
(D)
b−a
a −b
(E)
a +b
(C)
(A) 8
(B) 9
4. If (x − 6)(x + 14) is the square of an integer, then
x − 14 = ... .
(A) 6
(D) 22
(B) 8
(E) 24
(D) 11
(E) 12
(C) 10
8. If the positive value of n which satisfies the equation
1
2
3
n
+ + +...+
= 12n is substituted back into the
12 12 12
12
equation, the value of 12n is ... .
(C) 10
(A) 143
(D) 1716
(B) 287
(E) 3444
(C) 430
© Universitas Indonesia
KKI SS
Page 1 of 12
9. The sum of the first 25 terms of an arithmetic sequence
with 50 terms is 400, meanwhile the sum of the next 25
terms is 2275. Then the first term of the sequence is ... .
(D) 10
(A) −50
(B) −20
(E) 20
13. In a training centre, a number of pairs of athletes have
3
been selected for mixed double pairs.
of the female
5
7
athletes are selected, meanwhile of the male athletes
9
are selected. Part of athletes which is not selected is
equal to ... .
(C) 5
(A)
10. If x k+1 = x k + 13 for k = 1, 2, ..., n − 1 and x 1 = 1, then for
n even, the value
µ
¶
¶ µ
x n +1 + x n +2 + ... + x n − x 1 + x 2 + ... + x n = ... .
2
2
(B)
(C)
2
n2
12
(n 2 + 5)
(B)
6
n
(C)
(n + 10)
24
n
(D)
(3n + 10)
24
(n + 2)
(E)
3
·
¸
·
¸
1 0
1 0
11. If A =
and I =
, then
0 2
0 1
¸
· x
x
2
0
(A + I )2015 =
. The value of = ... .
0 3y
y
(D)
(A)
(E)
10
31
21
31
9
14
27
35
27
62
14. Given a set H = {A, B,C , D, E }, the sum of all cardinal
numbers of each subset of H is ... .
(A) 32
(D) 80
(B) 35
(E) 81
(C) 70
Use Instruction C to answer question(s) number 15 to 20.
15. The values of x satisfying the following inequality
¯
¯
¯ 5x − 1 ¯
¯ 3
1
(4)