Tes Matematika RSBI Semester Ganjil Kelas 9

50 Questions

Tes ini terdiri dari 50 soal, kerjakan dengan teliti. Disediakan waktu 90 menit. Selamat Berkompetisi.

Questions and Answers
• 1.
The pair of the shapes below that is not similar is....
• A.

Circles A and B with radii rA=10 cm and rB=15 cm

• B.

Triangles ABC and PQR with sides AB=BC=AC=10 cm and PQ=QR=PR=15 cm

• C.

Quadrilaterals ABDC and PQRS with sides AB=BC=CD=AD= 10 cm, and PQ=QR=RD=PS=15 cm

• D.

Squares ABCD and PQRS with sides AB=10 cm and PQ=15 cm

• 2.
Consider the figure on the right. Given that rectangles PQRS and PTUS are similar, the length of PQ= 24 cm and QR= 12 cm, then the length of  TQ is ....
• A.

18 cm

• B.

16 cm

• C.

12 cm

• D.

6 cm

• 3.
Triangle PQR with PQ = 8 cm, QR = 12 cm, and PR = 16 cm is similar to the triangle with sides of ....
• A.

10 cm, 14 cm, and 18 cm

• B.

10 cm, 14 cm, and 16 cm

• C.

6 cm, 10 cm, and 12 cm

• D.

6 cm, 9 cm, and 12 cm

• 4.
Consider the figure beside. Which reason justifies the conclusion that  ?
• A.

Side, side, side

• B.

Side, side, angle

• C.

Side, angle, side

• D.

Angle, side, angle

• 5.
Consider the figure beside. The value of p + q = ….
• A.

35

• B.

21

• C.

14

• D.

11

• 6.
Consider the figure beside. The length of EF is ....
• A.

24 cm

• B.

25 cm

• C.

26 cm

• D.

27 cm

• 7.
The length of a is ....
• A.

6,0 cm

• B.

12,0 cm

• C.

13,3 cm

• D.

14,4 cm

• 8.
Consider the figure beside. The value of p is ....
• A.

1,5 cm

• B.

2,0 cm

• C.

2,4 cm

• D.

3,0 cm

• 9.
The figure on the right illustrates a boy who is observing the top of a tree through a mirror put on the ground. The distance between the boy and the tree is ....
• A.

13,2 cm

• B.

13,5 cm

• C.

13,8 cm

• D.

14,0 cm

• 10.
The tessellation constructed of one shape is ....
• A.
• B.
• C.
• D.
• 11.
Consider the figure beside. The tessellation is constructed of ....
• A.

Triangles, rhombuses, rectangles

• B.

Triangles, rhombuses, squares

• C.

Triangles, kites, parallelograms

• D.

Triangles, rectangles, parallelograms

• 12.
The shape of the curved surface of the cylinder if we cut that parallel with the height is ...
• A.

Quadrilateral

• B.

Rhombus

• C.

Rectangle

• D.

Curved plane

• 13.
Consider the figure beside. Given that: (i)     1 is a vertex (ii)     2 is an edge (iii)    3 is a diameter (iv)    4 is a slant height The correct statements are ....
• A.

(1) and (2)

• B.

(1) and (3)

• C.

(2) and (4)

• D.

(3) and (4)

• 14.
The diameter and the curved surface area of a cylinder are 30 cm and 360  cm2 respectively. The height of the cylinder is ....
• A.

36 cm

• B.

24 cm

• C.

12 cm

• D.

6 cm

• 15.
The diameter and the height of a cone are 10 cm and 12 cm respectively. The surface area of the cone is ....
• A.

85 cm2

• B.

90 cm2

• C.

230 cm2

• D.

240 cm2

• 16.
The surface area of a sphere is 154 cm2. If , then the radius of the sphere is …
• A.

3,5 cm

• B.

7,0 cm

• C.

10,5 cm

• D.

14,0 cm

• 17.
Given that the volume of a cylinder is 2250 cm3, and the ratio of the radius to the height is 3 : 2, then the height of the cylinder is ....
• A.

5 cm

• B.

10 cm

• C.

15 cm

• D.

25 cm

• 18.
Consider the figure beside. If =3.14, then the volume of the cone is ....
• A.

2512 cm3

• B.

2721 cm3

• C.

7356 cm3

• D.

8164 cm3

• 19.
The diameter of a sphere is 21 cm. If , then the volume of the sphere is ....
• A.

4,851 cm3

• B.

5,544 cm3

• C.

14,553 cm3

• D.

38,808 cm3

• 20.
There are two spheres. If their radii are 12 cm and 8 cm, then the ratio of their volumes is ....
• A.

3 : 2

• B.

6 : 4

• C.

9 : 4

• D.

27 : 8

• 21.
The diameter and the slant height of a conical hat are 21 cm and 20 cm respectively. Andy will make 50 conical hats of a piece of cartoon. The size of each piece of cartoon is 40 cm x 50 cm, and the price of a piece of cartoon is Rp 2,500.00. How much money will Andy need to make all the conical hats?
• A.

Rp 82,500.00

• B.

Rp 42,500.00

• C.

Rp 40,000.00

• D.

Rp 32,500.00

• 22.
Consider the figure beside. The volume of the figure is ....
• A.

78 cm3

• B.

108 cm3

• C.

126 cm3

• D.

198 cm3

• 23.
The volume a cone is 960  cm3 and the height is 20 cm. The radius of the cone is ....
• A.

48.0 cm

• B.

14.4 cm

• C.

12.0 cm

• D.

4.8 cm

• 24.
Given the radii of two cylinders are r1= 7 cm, and r2 = 10.5 cm. If the height of the first cylinder is 15 cm and the height of the second cylinder is twice the height of the first cylinder, then the difference of the volumes of both cylinders is .... ( = 22/7)
• A.

8085 cm3

• B.

2310 cm3

• C.

1980 cm3

• D.

1320 cm3

• 25.
The following data are the result of a mathematics test.  Score 5 6 7 8 9 10 Frequency 3 5 8 5 2 1
The average score of the test is ....
• A.

6.88

• B.

7.00

• C.

7.04

• D.

7.50

• 26.
The scores achieved by 10 students on a mathematics test are as follows:  6, p-1, 5, 9, 5 , p, 8, 8, 10, 9 . If the average of the scores is 7.3, what is the value of p?
• A.

6

• B.

7

• C.

8

• D.

9

• 27.
The average of  science  test scores  of 20 students in a class is 78. Six other students join the class. Each has a score of 72. What is the average of science test scores?
• A.

74.50

• B.

75.08

• C.

76.62

• D.

77.71

• 28.
Given that the data of the weights of the girls in class IXA are: 62          53        48        50        52        45        50        60 43          54        56        50        51        60        55        45   The median is …
• A.

54

• B.

53.5

• C.

51.5

• D.

50

• 29.
Given that the scores of a mathematics test are as follows: 5, 6 ,7 ,6 , 7, 10, 8, 7, 6 ,6, 5, 10, 6, 8, 9, 6, 7, 5, 8, 7, 6, 8, 9, 7. The mode is ....
• A.

5

• B.

6

• C.

7

• D.

8

• 30.
The following data are the scores of a mathematics test.  Score 5 6 7 8 9 10 Frequency 2 8 a +2 6 3 1
The average of the scores is 7.1.  The value of a is ....
• A.

7

• B.

8

• C.

9

• D.

10

• 31.
The bar chart on the right shows the number of dentists in Java and Bali Provinces in 2000. What is the average number of the doctors in Java and Bali Provinces in 2000?
• A.

1000

• B.

800

• C.

600

• D.

200

• 32.
Look at the line diagram on the right. The statements below are correct, EXCEPT …
• A.

The number of motorcycles sold in April is 8.000

• B.

The average number of motorcycles sold on 2010 is 10.400

• C.

The lowest number of motorcycles sold is in March

• D.

The range of motorcycles sold is 5.000

• 33.
Look at the pie diagram on the right. The rice production is 675 kg.  What is the peanut production?
• A.

150 kg

• B.

168.75 kg

• C.

253.125 kg

• D.

450 kg

• 34.
Look at the graph on the right. The estimated value of the median is....
• A.

5

• B.

6

• C.

7

• D.

10

• 35.
Given two dice, the sample points below are members of the sample space, EXCEPT ....
• A.

(2, 5)

• B.

(4, 4)

• C.

(1, 3)

• D.

(5, 7)

• 36.
Umi had a coin and two dice. She rolled them together. What was the total of the sample points?
• A.

72

• B.

36

• C.

18

• D.

8

• 37.
Two dice are rolled at once. What is the probability that both dice have a sum of 7?
• A.
• B.
• C.
• D.
• 38.
Three coins are rolled at once. The probability of getting at least two heads is ....
• A.
• B.
• C.
• D.
• 39.
A letter is randomly taken from the word “MATEMATIKA”. The probability of taking the  letter  T is....
• A.
• B.
• C.
• D.
• 40.
The probability  that  the day will  rain in November is  . How many days will not rain in November
• A.

14

• B.

15

• C.

16

• D.

17

• 41.
The figure beside shows two similar trapeziums. The value of p is ....
• A.

24

• B.

20

• C.

11.5

• D.

7.5

• 42.
The figure beside is a cross section of a swimming pool of 20 m wide. A pole is put in the middle of the pool and its upper part is 2.5 m above the water level. How long is the pole?
• A.

5.0 cm

• B.

4.0 cm

• C.

2.5 cm

• D.

1.5 cm

• 43.
Look at the line diagram on the right. The total number of motorcycles sold from January to April 2010 is ....
• A.

52.000

• B.

40.000

• C.

9.000

• D.

8.000

• 44.
Consider the figure on the right.  The length of AC is ....
• A.
• B.
• C.
• D.
• 45.
The following statements are true with the figure below,  EXCEPT ....
• A.

CD = 30 cm

• B.

EG = 20 cm

• C.

FD = 14 cm

• D.

FG = 6 cm

• 46.
To make a tent as shown on the figure on the right  (without the base) needs canvas with the price of  Rp 8,000.00/m². The total price of the canvas is ....
• A.

Rp 276,320.00

• B.

Rp 376,800.00

• C.

Rp 427,040.00

• D.

Rp 527,520.00

• 47.
The diagram shows a measuring cylinder with a diameter of 12 cm. It contains water to a depth of 4 cm. Ten equal-sized spherical marbles with diameter 3 cm are put into the cylinder. The increasing height of the water level in the cylinder  is ....
• A.

5.0 cm

• B.

4.3 cm

• C.

1.25 cm

• D.

1.0 cm

• 48.
The bar chart shows the number of rainy days in an area during a period of three months. If the average number of rainy days from January to April is 9 days, the number of rainy days in April is ....
• A.

8

• B.

9

• C.

10

• D.

11

• 49.
A six-sided dice is rolled 60 times. The expected frequency of getting prime numbers is ....
• A.

40

• B.

30

• C.

20

• D.

10

• 50.
Given two shapes                                                          The tiling that is constructed from both shapes above is ....
• A.
• B.
• C.
• D.
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