matematika - soal ujian semester 1 tahun 2010
TRANSCRIPT
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 3
2
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 2
2x+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. 1/6log (-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 x1
2 + x22 = …
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,Ihsan’s age was twice as many as Aisyah ‘s age, and five years later Ihsan’s 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 3x
2 – 2x – 8 > 0 for xєR 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)}
“Barangsiapa mencari ilmu bukan karena Aku, akan dijauhkan dari bau surga” (Hadits Qudsi)