TIME
Day/Date :
Hour : 08.00 – 10.00
GENERAL INSTRUCTIONS
- Using a 2B type pencil, fill in the available computerized answer sheet with your identity as instructed.
- You have 120 minutes to finish the test.
- There are 40 test items, each with 4 options.
- Check and read the test items before you answer them.
- Report to the test supervisor if you find a blurred, damaged, or incomplete test paper.
- If necessary, ask the test supervisor for a piece of scrap paper.
- You are not allowed to use a calculator, a mobile phone, a mathematical table, or other calculating devices.
- Check your answer sheet before you submit it to the test supervisor.
- You are not allowed to make notes on, photocopy, or multiply the test paper.
1. A Mathematics test has 20 problems. Each correct problem is scored 5 . But,
the score is reducted by 3 if the problem is wrongly solved. The score of 0 is
given if there is no answer. Ana joins this test. She answers 13 problems
correctly, leaves 3 problems blank, and fails to provide correct answers to the
remaining problems of the test. So, Ana's score is ....
B. 56
C. 65
D. 74
2. If $\mathrm{A}=6 \frac{1}{5}, \mathrm{~B}=-\frac{1}{2}$, and $\mathrm{C}=3,5$, then the value of $\mathrm{AB}-\mathrm{BC}$ is $\ldots$.
A. $-4,85$
B. $-1,35$
C. $1,35$
D. $4,35$
3. Herman spent his vocation at his grandparents' house for 2 days. On the first day, he spent $\frac{1}{2}$ of his travel allowance for taking a bus. The next day, he spent $\frac{1}{4}$ of the left money to buy a toy. By the end of his trip, he only had Rp 75,000.00 left. How much money did Herman have at the beginning of his trip?
A. $\operatorname{Rp} 225,000.00$
B. $\operatorname{Rp} 200,000.00$
C. $\operatorname{Rp} 175,000.00$
D. $\operatorname{Rp} 100,000.00$
4. Dany's Taylor will make shirts for Andi, Budi, and Chandra. To make Budi's shirt, cotton fabric $105 \mathrm{~cm}$ in length is needed. If the size proportion Andi to Budi is 19:21, and the size proportion Budi to Chandra is $7: 9$, how many $\mathrm{cm}$ of fabric is needed to make shirts for the three boys?
A. $335 \mathrm{~cm}$
B. $345 \mathrm{~cm}$
C. $355 \mathrm{~cm}$
D. $365 \mathrm{~cm}$
5. Ani has some amount of money. With all her money she can go with 9 of her friends for a 6 day trip. If she wants to bring 2 more of her friends, how many days will Ani have to spend for the trip?
A. 4 days
B . 4 and half days
C. 5 days
D. 6 days
6. The price of a box of 'Manalagi' apples is Rp $190,000.00$. Its bruto weight is $40 \mathrm{~kg}$ and its tare is $5 \%$. If Pak Amin wants to get a profit of $20 \%$, he must sell the apples at the price of ... per $\mathrm{kg}$.
A. $\operatorname{Rp} 5,500.00$
B. $\operatorname{Rp} 5,750.00$
C. $\operatorname{Rp} 6,000.00$
D. $\operatorname{Rp} 6,250.00$
7. Bu Ina bought $30 \mathrm{~kg}$ of sugar for $\mathrm{Rp} 135,000.00$. However, during the selling activity, she found $3 \mathrm{~kg}$ of it damaged and useless. She wants to make a profit of $10 \%$. So, the selling price of sugar per $\mathrm{kg}$ is ....
A. $\operatorname{Rp} 5,250.00$
B. $\operatorname{Rp} 5,500.00$
C. $\operatorname{Rp} 5,750.00$
D. $\operatorname{Rp} 6,000.00$
8. Given the following arithmetic series $(a+7)+(a+5)+(a+3)+(a+1)+\ldots$
The sum of the first 7 terms in the series is ....
A. $7 a$
B. $7 a-7$
C. $7 a+7$
D. $7 a+16$
9. Look at the number series below. $2,5,9,14,20, \ldots$
The formula of $n^{\text {th }}$ term is ....
A. $2 n$
B. $n+1$
C. $n(n+1)$
D. $\frac{1}{2} n(n+3)$
10. Simplify the following algebraic form $a(a-1)+\frac{a-1}{2}=\ldots$
A. $a^2-\frac{1}{2} a-\frac{1}{2}$
B. $a^2+\frac{1}{2} a-\frac{1}{2}$
C. $a^2-\frac{1}{2} a+\frac{1}{2}$
D. $a^2+\frac{1}{2} a+\frac{1}{2}$
11. For all $x, y$, except $25 x^2-y^2=0$, if $\mathrm{P}=10 x^2-2 x y$ and $\mathrm{R}=25 x^2-y^2$, then $\frac{\mathrm{P}}{\mathrm{R}}=\ldots$
A. $\frac{2 x}{5 x+y}$
B. $\frac{5 x-y}{5 x+y}$
C. $\frac{2 x}{5 x-y}$
D. $\frac{5 x-y}{2 x}$
12. The value of $x$ that satisfies $5(3 x-4)=8(7-2 x)$ is ....
A. $36$
B. $3 \frac{9}{17}$
C. $3$
D. $2 \frac{14}{31}$
13. The solution of $1-x<\frac{1}{3} x$ is ....
A. $x>\frac{3}{4}$
B. $x>\frac{4}{3}$
C. $x<\frac{3}{4}$
D. $x<\frac{4}{3}$
14. Given $P=\{a, b, c, d\}$, how many subsets with 2 elements can you find?
A. 2
B. 4
C. 6
D. 16
15. For the Venn diagram on the right side, the shaded area represents ....
A. $Q \cap R \cap
P^{\prime}$
B. $P \cup Q \cap R^{\prime}$
C. $P \cap Q \cap R^{\prime}$
D. $P \cap R \cap Q^{\prime}$
A. $g(x)=4 x-12$
B. $g(x)=3 x-8$
C. $g(x)=2 x-4$
D. $g(x)=x$
20. If $3 p+4 q=12$ and $2 p+3 q=18$, then the value of $\frac{1}{6} p+\frac{1}{5} q$ is ....
A. -36
B. -12
C. 0
D. 12
21. Mrs. Rina and Mr. Alif bought apples and oranges in the same store. The receipts are shown below.
$$
\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Receipt } \\
\text { "SARI BUAH" } \\
\text { Fruitstore }
\end{array} & \begin{array}{l}
\text { Number: } 8 \\
\text { Received from : Mrs.Rina} \\
\text { Sum of money : Fifty thousand rupiahs } \\
\text { To pay for } 3 \mathrm{~kg} \text { of apples and } 2 \mathrm{~kg} \text { of oranges }
\end{array} \\
& \text { Total: } \operatorname{Rp} 59,500.00 \quad \text { Jakarta, } 1^{\text {th }} \text { March 2008 } \\
\hline
\end{array}
$$
$$
\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Receipt } \\
\text { "SARI BUAH" } \\
\text { Fruitstore }
\end{array} & \begin{array}{l}
\text { Number: } 9 \\
\text { Received from : Mr Alif } \\
\text { Sum of money : Eighty thousand rupiahs } \\
\text { To pay for } 2 \mathrm{~kg} \text { of apples and } 5 \mathrm{~kg} \text { of oranges }
\end{array} \\
& \text { Total: } \operatorname{Rp} 80,000.00 \quad \text { Jakarta, } 1^{\text {th }} \text { March 2008 } \\
\hline
\end{array}
$$
How much does it cost to buy 1 kg of apples and 1 kg of oranges?
A. Rp 11,000.00
B. Rp 12,500.00
C. Rp 23,500.00
D. Rp 25,000.00
22. The equation of line $k$ is $3x + 5y – 10 = 0$. If line m is perpendicular to line$ k$ , so the gradient of line $m$ is …
A. $-\frac{5}{3}$
B. $-\frac{3}{5}$
C. $\frac{3}{5}$
D. $\frac{5}{3}$
23. The equation of line passing through point A (3, -2) and parallel to 2y–4x + 9 = 0 is ....
A. 2x – 4y – 14 = 0
27. Look at the figure on the right side. The shaded area of ABCD is …. 
A. 24 cm$^2$
B. 42 cm$^2$
C. 154 cm$^2$ 
A. 10 cm
B. 11,1 cm
C. 11,2 cm
D. 12 cm
30. In reality, the dimension of a building is 18 meters long, 24 meters wide and 30 meters high. On television it is shown that the width of the building is 18 cm, so the height is ….
A. 1
B. 2
C. 3
D. 4
33. Dedy is making a cube box. The length of perimeter of the base is 24 cm. If Dedy wants to cover all the surface parts of the cube box as shown by the figure on the right side, how much paper does he need?
A. 144 cm$^2$
B. 216 cm$^2$
C. 288 cm$^2$
D. 324 cm$^2$
34. A new open water tank on the right will be painted. Before painting it, Pak Dadang wants to know the surface area of the water tank. What is the area of the water tank if the water tank has a radius of 7 dm and the height of 10 dm? (Use π =$\frac{22}{7}$ )
A. 440 dm$^2$
B. 594 dm$^2$
C. 748 dm$^2$
D. 1,540 dm$^2$
35. Arman and Irfan have two different cubical boxes. The edge of Arman’s box is 3 cm longer than Irfan’s. If the edge of Irfan’s box is 6 cm length, how much is the difference of the volume of Arman’s box than Irfan’s?
37. Look at the figure on the right side. If $\angle$ CBH = 63,5$^\circ$ and $\angle$ CEF = 40$^\circ$, therefore $\angle$ EFI will be ….
A. 40$^\circ$
B. 76.5$^\circ$
C. 103.5$^\circ$
D. 116.5$^\circ$
38. The average of Mathematics scores from 16 students in Rani’s class was 6.7. When Rani’s score was taken out or excluded from the class, the average of the math scores in Rani’s class became 6.6. What was the math score of Rani?
A. 6.5
39. After an English test ended in Dina’s class, the teacher announced the English scores as shown in the following table.
$$
\begin{array}{|l|l|l|l|l|l|}
\hline \text { Score } & 5 & 6 & 7 & 8 & 9 \\
\hline \text { Frequency } & 3 & 4 & 3 & 3 & 2 \\
\hline
\end{array}
$$
40. The collection of textbooks in the library of SMPN Garuda is shown at the pie chart on the bottom side. If there are 80 English books in the library, how many are the Science books? 
A. 32 books
B. 64 books
C. 96 books
D. 128 books
B. $P \cup Q \cap R^{\prime}$
C. $P \cap Q \cap R^{\prime}$
D. $P \cap R \cap Q^{\prime}$
16. A survey was taken
to 40 cars in a closing-down care sale. It was found that 20 cars had a radio,
19 equipped with a $C D$ player, and 22 with $\mathrm{AC}$. 10 cars had a radio
and $A C$, and 7 cars had a $C D$ player and $A C$. If 2 cars had all three car
facilities, and every car had at least one, how many cars had both a radio and a
CD player?
A. 2 cars
B. 4 cars
C. 6 cars
D. 8 cars
17. Given the relation $F=\{(1,3),(2,4),(-1,6),(a, b)\}$. Which one of the following replacements for $(a, b)$ will not allow $F$ to be a function?
A. $(0,0)$
B. $(1,2)$
C. $(3,4)$
D. $(-3,4)$
18. Given the formula of function $f$ is $f(x)=a x+b$. If $f(-1)=-7$ and $f(3)=9$, then the value of $2 a+b$ is ....
A. 1
B. 5
C. 7
D. 11
19. Look at the graph on the left side. The formula of line $g$ is ....
A. 2 cars
B. 4 cars
C. 6 cars
D. 8 cars
17. Given the relation $F=\{(1,3),(2,4),(-1,6),(a, b)\}$. Which one of the following replacements for $(a, b)$ will not allow $F$ to be a function?
A. $(0,0)$
B. $(1,2)$
C. $(3,4)$
D. $(-3,4)$
18. Given the formula of function $f$ is $f(x)=a x+b$. If $f(-1)=-7$ and $f(3)=9$, then the value of $2 a+b$ is ....
A. 1
B. 5
C. 7
D. 11
19. Look at the graph on the left side. The formula of line $g$ is ....
A. $g(x)=4 x-12$
B. $g(x)=3 x-8$
C. $g(x)=2 x-4$
D. $g(x)=x$
20. If $3 p+4 q=12$ and $2 p+3 q=18$, then the value of $\frac{1}{6} p+\frac{1}{5} q$ is ....
A. -36
B. -12
C. 0
D. 12
21. Mrs. Rina and Mr. Alif bought apples and oranges in the same store. The receipts are shown below.
$$
\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Receipt } \\
\text { "SARI BUAH" } \\
\text { Fruitstore }
\end{array} & \begin{array}{l}
\text { Number: } 8 \\
\text { Received from : Mrs.Rina} \\
\text { Sum of money : Fifty thousand rupiahs } \\
\text { To pay for } 3 \mathrm{~kg} \text { of apples and } 2 \mathrm{~kg} \text { of oranges }
\end{array} \\
& \text { Total: } \operatorname{Rp} 59,500.00 \quad \text { Jakarta, } 1^{\text {th }} \text { March 2008 } \\
\hline
\end{array}
$$
$$
\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Receipt } \\
\text { "SARI BUAH" } \\
\text { Fruitstore }
\end{array} & \begin{array}{l}
\text { Number: } 9 \\
\text { Received from : Mr Alif } \\
\text { Sum of money : Eighty thousand rupiahs } \\
\text { To pay for } 2 \mathrm{~kg} \text { of apples and } 5 \mathrm{~kg} \text { of oranges }
\end{array} \\
& \text { Total: } \operatorname{Rp} 80,000.00 \quad \text { Jakarta, } 1^{\text {th }} \text { March 2008 } \\
\hline
\end{array}
$$
How much does it cost to buy 1 kg of apples and 1 kg of oranges?
A. Rp 11,000.00
B. Rp 12,500.00
C. Rp 23,500.00
D. Rp 25,000.00
A. $-\frac{5}{3}$
B. $-\frac{3}{5}$
C. $\frac{3}{5}$
D. $\frac{5}{3}$
23. The equation of line passing through point A (3, -2) and parallel to 2y–4x + 9 = 0 is ....
A. 2x – 4y – 14 = 0
B. 2x + 4y + 2 = 0
C. 2x – y – 8 = 0
D. 2x + y – 4 = 0
24. Look at the figure on the right side.
24. Look at the figure on the right side.
The size of $\angle BAC = 64^{\circ}$.
What is the size of $\angle ABC$?
A. $20^{\circ}$
B. $28^{\circ}$
C. $32^{\circ}$
D. $36^{\circ}$
25. Look at the figure on the right side. If the size of angle $RSQ = 100^\circ$, so the size of angle $ROQ$ is ....
What is the size of $\angle ABC$?
A. $20^{\circ}$
B. $28^{\circ}$
C. $32^{\circ}$
D. $36^{\circ}$
25. Look at the figure on the right side. If the size of angle $RSQ = 100^\circ$, so the size of angle $ROQ$ is ....
A. $50^\circ$
B. $80^\circ$
C. $100^\circ$
D. $160^\circ$
The perimeter of PQRS is ....
A. 28 cm
B. 35 cm
C. 44 cm
D. 50 cm
B. $80^\circ$
C. $100^\circ$
D. $160^\circ$
26. Look at the figure on the bottom side.
A. 28 cm
B. 35 cm
C. 44 cm
D. 50 cm
A. 24 cm$^2$
B. 42 cm$^2$
C. 154 cm$^2$
D. 196 cm$^2$
28. The diagonals of rhombus are 24 cm and 10 cm. The perimeter of the rhombus is ….
A. 34 cm
B. 52 cm
28. The diagonals of rhombus are 24 cm and 10 cm. The perimeter of the rhombus is ….
A. 34 cm
B. 52 cm
C. 68 cm
D. 240 cm
29. Look at the figure on the right side. ABC is a triangle. If BC parallel to DE, so the length of AB is ….
29. Look at the figure on the right side. ABC is a triangle. If BC parallel to DE, so the length of AB is ….
A. 10 cm
B. 11,1 cm
C. 11,2 cm
D. 12 cm
30. In reality, the dimension of a building is 18 meters long, 24 meters wide and 30 meters high. On television it is shown that the width of the building is 18 cm, so the height is ….
A. 22,5 cm
B. 22,0 cm
C. 20,5 cm
D. 20,0 cm
31. Given Δ ABC and Δ DEF are congruent. How many degree is $\angle$ BAC?
A. 45$^{\circ}$
B. 65$^{\circ}$
C. 70$^{\circ}$
D. 80$^{\circ}$
32. Shanti is thinking of making a present box from the available paper as shown by the figure on the right. Shanti wants to use the shaded paper as a base of the box. Which side of the paper will be the top part of the box?
B. 2
C. 3
D. 4
33. Dedy is making a cube box. The length of perimeter of the base is 24 cm. If Dedy wants to cover all the surface parts of the cube box as shown by the figure on the right side, how much paper does he need?
A. 144 cm$^2$
B. 216 cm$^2$
C. 288 cm$^2$
D. 324 cm$^2$
34. A new open water tank on the right will be painted. Before painting it, Pak Dadang wants to know the surface area of the water tank. What is the area of the water tank if the water tank has a radius of 7 dm and the height of 10 dm? (Use π =$\frac{22}{7}$ )
A. 440 dm$^2$
B. 594 dm$^2$
C. 748 dm$^2$
D. 1,540 dm$^2$
35. Arman and Irfan have two different cubical boxes. The edge of Arman’s box is 3 cm longer than Irfan’s. If the edge of Irfan’s box is 6 cm length, how much is the difference of the volume of Arman’s box than Irfan’s?
A. 216 cm$^3$
B. 513 cm$^3$
C. 648 cm$^3$
D. 729 cm$^3$
36. Given a cone with the diameter of 10 cm and the height of 3 cm. By using π = 3.14, the volume of the cone is ….
A. 314 cm$^3$
B. 513 cm$^3$
C. 648 cm$^3$
D. 729 cm$^3$
36. Given a cone with the diameter of 10 cm and the height of 3 cm. By using π = 3.14, the volume of the cone is ….
A. 314 cm$^3$
B. 235 cm$^3$
C. 94.2 cm$^3$
D. 78.5 cm$^3$
37. Look at the figure on the right side. If $\angle$ CBH = 63,5$^\circ$ and $\angle$ CEF = 40$^\circ$, therefore $\angle$ EFI will be ….
B. 76.5$^\circ$
C. 103.5$^\circ$
D. 116.5$^\circ$
38. The average of Mathematics scores from 16 students in Rani’s class was 6.7. When Rani’s score was taken out or excluded from the class, the average of the math scores in Rani’s class became 6.6. What was the math score of Rani?
A. 6.5
B. 7.5
C. 7.8
D. 8.2
D. 8.2
$$
\begin{array}{|l|l|l|l|l|l|}
\hline \text { Score } & 5 & 6 & 7 & 8 & 9 \\
\hline \text { Frequency } & 3 & 4 & 3 & 3 & 2 \\
\hline
\end{array}
$$
The median from the English scores in Dina’s class is ….
A. 6
A. 6
B. 6.5
C. 7
D. 7.5
D. 7.5
40. The collection of textbooks in the library of SMPN Garuda is shown at the pie chart on the bottom side. If there are 80 English books in the library, how many are the Science books?
B. 64 books
C. 96 books
D. 128 books
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