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MINISTRY OF EDUCATION AND CULTURE SEMESTER 1 TEST For PILOT INTERNATIONAL STANDARD JUNIOR HIGH SCHOOL ACADEMIC YEAR 2011/2012 Subject : MATHEMATICS Year : 9 Semester : 1 Day/Date : November 2011 Time : 150 minutes INSTRUCTIONS 1. You have 150 minutes to finish the test. 2. There are 50 test items, each with 4 options. 3. Check and read the test items before you answer them. 4. Answer the questions by blackening A, B, C or D on your answer sheet. 5. Report to the test supervisor if you find a blurred, damaged, or incomplete test paper. 6. If necessary, ask the test supervisor for a piece of scrap paper. 7. You are not allowed to use a calculator, a mobile phone, a mathematical table, or other

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MINISTRY OF EDUCATION AND CULTURE

SEMESTER 1 TEST For

PILOT INTERNATIONAL STANDARD JUNIOR HIGH SCHOOLACADEMIC YEAR 2011/2012

Subject : MATHEMATICSYear : 9Semester : 1Day/Date : November 2011Time : 150 minutes

INSTRUCTIONS1. You have 150 minutes to finish the test.2. There are 50 test items, each with 4 options.3. Check and read the test items before you answer them.4. Answer the questions by blackening A, B, C or D on your

answer sheet.5. Report to the test supervisor if you find a blurred,

damaged, or incomplete test paper.6. If necessary, ask the test supervisor for a piece of scrap

paper.7. You are not allowed to use a calculator, a mobile phone,

a mathematical table, or other calculating devices.8. Check your answer sheet before you submit it to the

invigilator.9. You are not allowed to make notes on, photocopy, or

multiply the test paper.

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1. Which figures are similar?a. two equilateral trianglesb. two quadrilaterals with the same sidesc. two pentagons with the same sidesd. two hexagons with the same sides

2. Consider the figure of trapezoid EFCD with EFparallel to AB. If AB = 25cm and DC = 9cm, then the lengthof EF is ….a. 12cmb. 15cmc. 18cmd. 20cm

3. Triangle ABC with AB = 9cm, BC =12cm, and AC = 15 cm is similar to the triangle with sides of ….a. 5 cm, 12 cm, and 13 cmb. 6cm, 9cm, and 12cmc. 12cm, 16cm, and 20cmd. 10cm, 15cm, and 20cm

4. Consider the figure on the right.The true statement is ....a. ΔCFE ΔFAD

b. ΔCFE ΔDEFc. ΔDEFΔFADd. ΔDEFΔ ADF

5. Consider the following figures.The true statement is ....a. A=Pb. A=Qc. B=Pd. B=Q

Semester Test of grade 9 Semester 1 RSBI 2011/20121

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6. The figure beside illustrates a ladder leaning against a vertical wall. The length of the ladderis ….a. 5.0mb. 6.0mc. 7.5md. 8.5 m

7. The following figure illustrates the roof of a house. The value of tin the figure is....a. 12 cmb. 15 cmc. 16 cmd. 20 cm

8. The value of tin the figure is....a. 3.0 cmb. 3.2 cmc. 3.6 cmd. 4.0 cm

9. Maryam is standing next to a tree with a shadow of 12 m. If Maryam is 1.6 m tall with a shadow of 1.2 m, thenthe height of the tree is ....a. 16 mb. 18 m c. 20 m d. 24 m

Semester Test of grade 9 Semester 1 RSBI 2011/20122

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10.A design of regular tessellation can be created from....a. 6regular polygonsb. 8regular polygonsc. 12regular polygonsd. 18regular polygons

11. The tessellation constructed of three shapes is ….a.

b.

12. If a can without basesis straightly cut as shown, then the shape of the curved surface of the can isa ….a. trapezoidb. parallelogramc. triangled. curved plane

13.The number of edges and faces of a cylinder is ....a. 2b. 3c. 4d. 5

Semester Test of grade 9 Semester 1 RSBI 2011/2012

c

d

3

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14. The radius and the lateral surface area of a cone are 10 cm and 260π cm2 respectively. The height of the cone is ….a. 12 cmb. 16cm c. 20cm d. 24cm

15. The radius and the height of a cylinder are 10.5 cm and 20 cm respectively. The surface area of the cylinder is ….a. 6,930.0 cm2

b. 2,013.0cm2

c. 1,666.5 cm2

d. 1,320.0 cm2

16. The volume of a sphere is 4.851cm3. Ifπ=22

7 , then the radius of the sphere is …. a. 7.0cm b. 10.5 cm c. 14.0 cm d. 17.5 cm

17. Given that the surface area of a cylinder is 320π cm3, and the ratio of the radius to the height is 2 : 3. Then the height of the cylinder is ….a. 8cmb. 12cm c. 15cm d. 18cm

18. Giventhat the diameter and slant height of a cone are 10 cm and 13 cm respectively. The surface area of the cone is ....a. 90cm 2

b. 180cm2

c. 200cm2

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d. 400cm2

19. The radius of a ball is 10.5 cm. If π= 227 , then the

area of the ball is ….a. 231cm2

b. 462cm2

c. 693 cm2

d. 1,386cm2

20. There are two spheres. If the ratio of their radii is3 : 2, then the ratio of their areas is ….a. 3 : 2b. 9 : 4c. 27 : 8d. 81 : 16

21. The radius and the height of a conical hat are 10 cm and 24 cm respectively. The material needed for making 10 hats is at least ....a. 1,000 cm2

b. 3,600 cm2

c. 2,600 cm2

d. 2,400 cm2

22. Consider the figure.The volume of

the figure is ….( = 227 )

a. 4,851.0 cm3

b. 4,042.5 cm3

c. 2,425.5 cm3

d. 1,617.0 cm3

23. The surface area of a cone is 900 cm2and the radius is 20 cm. The height of the cone is ….

Semester Test of grade 9 Semester 1 RSBI 2011/20125

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a. 12cmb. 15cmc. 16cmd. 18cm

24. Given that the radii of two cylinders are 2m and 0.5m. If the height of each cylinder is 1 m, then the difference of the surface areas is ....a. 5.75 m2

b. 6.25 m2

c. 6.75m2

d. 10.5m2

25. The following data are the results of a mathematics test.

Score 5 7 8 9 10Frequenc

y 1 3 6 4 1

The average score of the test is ....a. 7.50b. 7.75c. 8.00d. 8.25

26. The scores of 10 students on a test are as follows:6, 7, 5, 9, 5, 8, 8, 10, 9, ….For some reasons, the score of the last student is

pended.If the average of the scores is 7.5, then the pended scoreis ....a. 5b. 6c. 7d. 8

Semester Test of grade 9 Semester 1 RSBI 2011/20126

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27. The average of maths test scores of 30 boys is 80. The average of maths test scores of 20 girls is 85. Then, the average score of the 50 students is ....a. 81b. 82c. 83d. 84

28. The median of 5, 4, 6, 8, 7, 6,9, 10, 7, 5, 6, 9 is ....a. 6.0b. 6.5c. 7.0d. 7.5

29. If the mode of datax, 5, 5, 6, 6, 7, 7, 8, 4, 9 is 6, then the mean of the data is ....a. 6.3b. 6.4c. 6.5d. 6.6

30. Look at the following table.

Score 5 6 7 8 9 10Frequenc

y 1 5 x 6 2 1

If the average of the scores is 7.3, then the value of xis ....a. 4b. 5c. 6d. 7

Semester Test of grade 9 Semester 1 RSBI 2011/20127

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TEMPERATURe(oC)

Hour

31. The bar chart below shows the average of math scores of Grade IX students.What is the total average of the scores, if the number of students in every class is 32?a. 73b. 74c. 75d. 76

32. The line diagram below shows the temperature at a city. The most increasing temperature is ....a. 11.00 – 12.00b. 12.00 – 13.00c. 13.00 – 14.00d. 14.00 – 15.00

33. The pie chart shows the number of students who have chosen a holiday package to five countries. Given that the total number of students who have chosen the holiday package is 200, the number of those choosing Australia is ....a. 50b. 54c. 60d. 108

Semester Test of grade 9 Semester 1 RSBI 2011/20128

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34. Look at the graph.The median is ....a. 12b. 8c. 7.5d. 7

35. The samplespace for tossing two coinsis ....a. {(H ,T ) , (T , H )}

b. {(T , H ) , (H ,T )}

c. {(H , H ) , (T ,T )}

d. {(H ,T ) , (T , H ), (H , H ) , (T ,T )}

36.The number of sample points for tossing a coin and two dice is ....a. 24b. 36c. 72d. 108

37. Two dice are rolled at once. The probability that the sum of the appearing numbers is a prime is ....a.

b.

c.

d.38. Three coins are tossed at once. The probability of

getting at least one tail is ….

Semester Test of grade 9 Semester 1 RSBI 2011/20129

1125127121112

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a. 78

b. 58

c. 28

d. 18

39. A letter is randomly taken from the word “MEGANTARA”. The probability of taking the letterA is ….

a.19

b.16

c.13

d.23

40. A presenter reported that the probability of raining tomorrow is0.70. What is the probability that it will NOT rain tomorrow?a. 0.15b. 0.30c. 0.70d. 0.75

Semester Test of grade 9 Semester 1 RSBI 2011/201210

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41. Given triangle PQR with PQ = 8 cm, QR = 10 cm, and PR = 12 cm. It is similar to the triangle with sides of ….a. 6 cm, 8 cm, and 10 cmb. 10 cm, 12 cm, and 14 cmc. 12 cm, 15 cm, and 18 cmd. 15 cm, 20 cm, and 25 cm

42. The value of t on the figureon the right is ....

a. 4.5cmb. 6.0cmc. 7.5cmd. 8.0 cm

43. The number of edges and faces of a coneis .... a. 1b. 2c. 3d. 4

44. Given that radii of two cylinders are r1= 7 cm, and r2 = 10.5 cm. If the height of the first cylinder is 7 cm and that of the second cylinder is 10.5 cm, then the difference of the surface areas of both cylinders is ….

(π=22

7 )a. 770 cm2

b. 385cm2

c. 1,819,125cm2

d. 3,638,250 cm2

Semester Test of grade 9 Semester 1 RSBI 2011/201211

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TEMPERATURe(oC)

Hour

45. The scores achieved by 10 students on a mathematics test are 4, p+1, 3, 7, 4, p, 6, 6, 7, 7. If the average of the scores is 6.1, then the highest score is ....a. 10b. 9c. 8d. 7

46. The line diagram on the right shows the temperature at a city during a view days. The average of temperature is ....a. 26.0 oCb. 26.5 oCc. 27.0 oCd. 27.5 oC

47. Look at the graph on the right.The average is ....a. 7.00b. 7.25c. 7.50d. 7.75

48. The number of sample points for tossing two coins and one dice is ....a. 24b. 36c. 72d. 144

Semester Test of grade 9 Semester 1 RSBI 2011/201212

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49. Three coins are tossed at once. The probability of getting at least two head is ….

a. 48

b. 38

c. 28

d. 18

50. Two dice are rolled at once. The probability that the sum of the appearing number is odd is ....

a.12

b.13

c.16

d.112

Semester Test of grade 9 Semester 1 RSBI 2011/201214