# Matematika - Soal Ujian Semester 1 Tahun 2010

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• PEMERINTAH PROVINSI SUMATERA BARAT

FORUM RSMA-BI SUMBAR

UJIAN SEMESTER 1 T. P. 2010/2011

Sheet of Examination Subject : MATHEMATICS Day / Date : / December 2010 Class / Program : X Periode : 2010/2011 Time : 90 minutes

General Instruction:

1. Write your name, number, the subject and your class on space provided in your answer sheet!. 2. .Read the text carefully before answering the question. 3. Tell your teacher if there is any problem in your test sheet. 4. Do easier item first. 5. Check your answer sheet again before being collected.

Multiple choise

1. Express in scientific notation 0.0000002578 =

A. 2.578 x 710 B. 25.78 x

610

C. 257.8 x 510 D. 2.578 x

410

E. 2.578 x 710

2. The value of 32

4

1

.yx

for x = 16 and y = 125 is ...

A . 2.5 B. 5.5 C .7.5 D.10.5 E .12.5

3. Given that 2x+2-x = 5. The value of 22x+2-2x = .......

A . 23 B . 24 C . 25 D . 26 E . 27

4.

...64

1729

243

1335

A. 3 B. 35

2 C. 5

3

1 D. 3

6

5 E. 4

3

2

5. 3

2

27 + 4

3

16 - 3

2

8

2

+ 3

2

3 2

4

2

=

A. 11 B. 12 C. 13 D. 14 E. 15

6. If 3log 2= a then

8log 9 =.

A. 3a/4 B. 4/3a C. 8/3a D. 2/3a E. 3a/2

7. 35

8

=

A. 10 + 3 B. 10 + 6

C. 10 - 6 D. 5 - 3 E. 62

8. If 9

13 2 X , then x =

A. 3 B. 1 C. -1/2 D. -1 E. -3 9. The following numbers are in surds is

A. 64 B. 8

C. 64,0

D. 3 27

E. 3 64

10. If 7

1

100

1log x , then x =

A. 1010 B. 1011 C. 1012 D. 1013 E.1014

11.

log2 2 log8 3 log9 2

log12

= .

A. 5 B. 1,5 C.2,5 D. 0,6 E.2

12. Form logarithm of 4-3/2

= 1/8 is..

A.4log (-2/3) = 1/8 B.

1/8log 4= -3/2

C. 1/6

log (-3/2) = 4 D. 4log 1/8 = -3/2

E. 4log (3/2) = - 1/8

13. Quadratic function of figure is.... 4 3 0 1

A. y= -2x2

+ 4x + 3 B. y= -2x2

+ 4x + 2

C. y= -x2 + 2x + 3 D. y= -2x

2 + 4x - 6

E. y= -x2 + 2x - 5

14. The vertex of function f(x) = 3x2 -12x+17 is A. (-4,13) B. (-2,8) C. (2,5)

• D. (1,8) E. (4,17) 15. A function has minimum value 5 for x = -1 and passing throught (0,7), is

A. y = 2x2 + 2x + 5 B. y = 2x

2 - 4x + 7

C. y = 2x2 + 4x + 7 D. y = 2x

2 + 4x - 7

E. y = 2x2 + 4x + 5

16. Quadratic equation (k + 2)x2 (2k 1)x + k 1 = 0

has equal roots. The value of k is... A. 9/8 B. 8/9 C. 52 D. 2/5 E. 1/5

17.Equation of 3x2 (2 + p)x + (p 5) = 0 have

reciprocal roots. Value of p is A. 1 B. 2 C. 5 D. 6 E. 8

18.The solution set of x2 + (a 1)x a + 4 = 0 has

two different roots is A. a < 5 or a > 3 B. a < 3 ora > 5 C. a < 3 or a > 5 D. 5 < a < 3 E. 3 < a < 5 19. Given that x1 + x2 = 2/3 and x1x2 =1/6 , then quadratic equation is ...

A. 6x2 + x + 4 = 0 B. 6x2 + x 4 = 0 C. 6x2 - 4x 1 = 0 D. 6x2 +4x + 1 = 0 E. 6x2 + 4x 1 = 0

20. If x1 and x2 are roots of x2 6x + 5 = 0, then

x12 + x2

2 = A. 26 B. 31 C. 37 D. 41 E. 46 21. Quadratic equation x2 5x + 6 = 0 have roots x1 and x2. Quadratic equation whose roots (x1 3) and (x2 3) is ... A. x2 2x + 30 = 0 B. x2 + x 30 = 0 C. x2 + x + 30 = 0 D. x2 2x = 0 E. x2 + x = 0 22. If the sum of two numbers is 35 and their multiplication is 300. The numbers are.

A. 15 and 20 B. 15 and 30 C. 15 and 35 D. 20 and 35 E. 30 and 35

23. Ten years ago,Ihsans age was twice as many as Aisyah s age, and five years later Ihsans age was one-and- a-half times as many as Aisyah s age. How old is Ihsan? A. 20 year old B. 25 year old C. 30 year old D. 35year old E. 40 year old 24. The solution set of 3x2 2x 8 > 0 for xR is

A. { x | x > 2 or x < 4

3}

B. { x | x > 2 or x < 3

4}

C. { x | 3

4 < x < 2} D. { x |

4

3 < x < 2}

E. { x | x > 3

4 or x < 2}

25. The solution set of x2 + x 6 0 is ... A. {x | x 3 atau x 2} B. {x | x 3 atau x 2} C. {x | 3 x 2} D. {x | 2 x 3} E. {x | 2 x 2}

26. The solution of system:

1446

19524

8273

zy

zyx

zyx

Is..... A. {5,3,1} B. {4,-5,1} C. {-3,4,1} D. {-5,3,2} E. {-5,3,1}

27. If x and y satisfies at linear equation system

323

52

yx

yx . The value of x + y is

A. 1 B. 2 C. 3 D. 4 E. 5

28. The solution of system:

2

111

432

yx

yx is..

A. {(1,2)} B. {(-1,2)} C. {(-2,1)} D. {(2,1)} E. {(2,-1)}

29. At a store, Apriliani buy 4 books and 2 pens with price Rp 4,000.00. Yuli buy 10 books and 4 pens with price Rp 9,500.00. Januar buy a book and a pen with price A. Rp 950.00 B. Rp 1,050.00 C. Rp 1,150.00 D. Rp 1,250.00 E. Rp 1,350.00

30. The solution set of y = x 3 and y = x2 x - 2 is.

A. {(1,-2)(3,0)} B. {(1,-2)(0,3)} C.{(1, 2)} D. {(-2,1)} E. {(1,-2)}

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