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Instruction:
1. Read all instructions and questions carefully before answering.
2. Double check your answers before submitting.
3. This exam consists of 2 parts (30 multiple-choice questions @2 points, 5 essays @8 points)
4. The total score for this exam is 100 points.
5. For Essay questions, you must write your complete working process
6. You have 120 minutes to answer and submit this test, so use your time wisely.
7. Do your test to the best of your abilities. Any suspicious behavior will result in cheating assumptions
and give a total score of 0 (zero).
8. Calculators are allowed.
MULTIPLE CHOICE
Please choose the correct answer!
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1.
The result of -37 + 3[-5 x 9 –(–60)] : (-9) is ….
42
-32
32
-42
2.
2
1
The result of (3.5 × 2 ) − (0.35 : ) − 6 is ….
5
2
​
17
10
10
29
10
17
29
10
​
​
​
​
​
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3
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3.
3
part is used to sew clothes and the rest he distributes to his
14
3
employees. If each employee gets 2 meter, determine how many employees receive the cloth!
4
12 employees
Mother has 42 m of cloth.
​
​
15 employees
14 employees
13 employees
4.
1
The result of 3 + ( )
3
-2
​
−2
1
9
−1
− (−3)0 is ....
​
8
2
1
9
​
11
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5.
The simplest form of
8 2 + 2 27
​
5 2−4 3
​
76 − 31 6
76 + 31 6
​
is ....
​
​
​
−76 + 31 6
−76 − 31 6
6.
​
​
​
The next three terms in the sequence (-1), 6, 14, 23, ... are ….
33, 43, 53
33, 44, 56
31, 39, 47
31, 38, 44
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7.
Look at the following patterned image!
The number of triangles in pattern (15) is ...
196
256
225
100
8.
Anita deposits Rp 3,000,000 in a bank. If the bank gives a 12% annual interest, the amount of
interest Anita will earn after 8 months is ….
Rp 240,000
Rp 200,000
Rp 270,000
Rp 360,000
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9.
John is 1.68 m tall whereas his younger brother is 105 cm tall. The ratio of John’s height to his
brother’s height in its simplest form is ….
8 :7
8:5
4:3
7:5
10.
A man gave $1080 to 3 charitable organizations in the ratio 3 : 5 : 16. The difference between the
largest share and the smallest share is ….
$135
$495
$720
$585
11.
By using a car, the distance between two cities can be traveled in 10 hours at an average speed of
60 km/hours. The time needed to travel that distance if the average speed is 75 km/hours is …
hours
10
8
7
9
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12.
The simplest form of 2x – [3y – 4(-5x + 6y)] is ….
22x – 21y
22x + 21y
-18x + 21y
-18x – 21y
13.
If the solution to 4 (x - 2) – 3 (2x + 5) = 7x + 1 is p, then the value 3p + 7 is ….
-3
-1
1
3
14.
Given : ε = {whole number less than 10}
P = {odd number less than 10}
Q = {prime number less than 10}
The complement set (P ∪ Q) is ....
{1, 2, 3, 5, 7, 9}
{3, 5, 7}
{0, 4, 6, 8}
{0, 1, 2, 4, 6, 8, 9}
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15.
There are 30 students in a class. 22 study mathematics, 16 study science and 2 study neither
mathematics nor science. The number of students who study both mathematics and science is …
students.
10
8
12
6
16.
If x = 5 is a solution of the equation x2 – qx + 10 = 0, find the other solution of the equation!
x=1
x = -1
x=2
x = -2
17.
The equation of a function is y =
2
1
x+
. Find the value x when y = 1
3
3
​
​
-3
2
1
-1
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18.
The formula of the Function is f(x) = ax + b, if f(-5) = -13 and f(5) = 7, find a + b!
2
1
3
-1
19.
The figure shows three line segments.
The gradient of line 1, line 2 and line 3 respectively are ….
1
2
−1, 0, 1
1 , 0, 1
1
2
​
​
−1 , ∞, 1
1
2
1, ∞, −1
1
2
​
​
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20.
The equation of the straight line perpendicular to y = 3x – 2 that passes through (3, 1) is ….
y=
2
x+2
3
​
x
+2
3
x
y =− +2
3
2
y =− x+2
3
y=
​
​
​
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21.
The figure shows a parallelogram PQRS where PQ = 9 cm and PS = 6 cm.
QU is perpendicular to PS and QT is perpendicular to SR. If QU = 8 cm The length of QT equal
…
2
6 cm
3
1
6 cm
3
1
5 cm
3
​
​
​
1
4 cm
3
​
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22.
In the figure, AB// DE
Find the value of a!
220
640
440
320
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23.
In the figure, AB = 20 m, BC = AF = 15 m, DE 3.5 m, and FG = 7 m
Find the area of the figure!
432.25 m2
382.25 m2
372.75 m2
234.25 m2
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24.
In ΔABC, AC = 39 cm and ∠ABC = 900. H lies on AB such that HB = 6 cm and K lies on CB
such that CK = 28 cm.
Given that HK = 10 cm find the length of AH!
9 cm
4 cm
8 cm
10 cm
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25.
Given that O is the centre of the circle, find the value of x!
200
250
150
300
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26.
The figure shows a sketch of the world’s largest gold bar that 50 cm long. It is a solid prism with
uniform cross section of trapezium.
Find its volume
16 875 cm3
14 625 cm3
18 675 cm3
15 825 cm3
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27.
A solid consists of a cone and a hemisphere which share a common base. The cone has a base
radius of 7 cm and the height of 24 cm.
Find the total surface area of the solid!
858 cm2
550 cm2
308 cm2
1012 cm2
28.
The mean of the three number x, y and z is 12 and the mean of five number x, y, z, a and b is 16.
If a = 20 find the value of b!
22
20
18
24
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29.
A box contains five cards numbered 1, 2, 3, 4, and 5. A card is drawn from the box, its number
noted and then replaced. The process is repeated 100 times. The table shows the resulting
frequency distributions.
If the mean of the distribution is 2.9, find the value of x and of y!
x = 24 and y = 20
x = 18 and y = 26
x = 20 and y = 24
x = 26 and y = 18
30.
A two-digit number is written down at random. What is the probability that the number written is
divisible by 3 and 5?
6
90
30
90
18
90
42
90
​
​
​
​
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ESSAY (score 40)
Answer these questions below completely!
31.
A garden is built in the form of a rectangle with a length 6 meters longer than its width. Its
perimeter of the garden is less than 40 meters. If the garden’s width is x, then form an inequality
in x and solve it!
Answer:
32.
By selling a particular set of books for Rp 408,000, a bookseller suffers a loss of 4 %. Find the
cost price of the books.
Answer:
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33.
The figure shows three semicircles
Find of the area of the shaded region (π =
22
)
7
​
Answer:
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34.
In the diagram, the radii of the two circles touching each other are 10 cm and 6 cm respectively.
Calculate the length of BC.
Answer:
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35.
A solid consists of a pyramid of height 8 cm attached to a cuboid with a square base of sides 12
cm and a height of 15 cm.
Find:
a) the volume
Answer:
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b) the total surface area of the solid
Answer:
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