1. What is the sum of a+b+c+d+e+f+g+h?

SET 2015(15.03)

1. What is the sum of a+b+c+d+e+f+g+h?

A.180 B. 360 C. 720 D. 135 E. 90

2. There is a circle and two squares. What is the area of a smaller square divided by a larger square?

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

3. Given the sequence x1, x2,x3… If x1=4, and x_n+1 = 3 – . Find x₆₃₄

A. 0.625 B. C. -3 D. E.10

4. Let y= . If x 1, then the range of a function y?

A. 0.1 y 0.2 B. 0 y 0.1 C. 0 y 0.2

D. 0 y 0.1 E. 0.1 y 0.2

5. If r builders build s houses in t days, how many builders are needed to build x houses in y days?

A. B. C. D. E.

6. Calculate the value of

A.0 B. 50 C. 45 D. E.

7. A sequence 2,3,5,8… The first two terms of the sequence are 2 and 3. Each term(after the first two) is equal to the sum of the previous 2 terms. How many of the following statements are true?

I. The 20^th term is divisible by 2

II. The 30^th term is divisible by 3

III. The 40^th term is divisible by 4

IV. The 50^th term is divisible by 5

A. 0 B.1 C.2 D.3 E.4

8. A woman has 5 different pairs of shoes, 5 different skirts and 5 different shirts. One pair of shoes is black and one shirt is brown. She cannot wear the black shoes with the brown shirt. How many different outfits is she able to wear?

A. 100 B.120 C. 125 D.80 E.90

9. Find the value of

1 +

A. B. C. D. 2 E.

10. =

A. B. C. D. 2 E. None of these

11. Let 10^a=2 and 10^b=3. If 10^x=450, then x in terms of a and b…

A. 3a-b B. 2+2b-a C. 2+b-a D.2b-a E. 3a-5+b

12. A girl has two buckets of paint of equal amounts. She paints an equilateral triangle of sides 25 cm with the first bucket and paints 25 smaller equilateral triangles with the second bucket. What is the length of one smaller triangle?

A. 1 B. 5 C. 2 D.10 E. None of these

13. A boy walks at 4 km per hour and runs at 6 km per hour. If he runs to school, instead of walking, he saves 3 minutes and 45 seconds. How far does he live from school?

A.0.625 B.0.75 C.7.0 D.4.5 E.0.125

14. If these numbers are put in order of size, which is in the middle?

A. 2log3 B.3log5 C.log6+log7 D.log16 E.log2-log9

15. The edge of the shape is made from four equal arcs, each arc is of a circle of a radius 10. What is the area of this shape?

A. 80 B. 100 C.200 D. 80 /3 E. 500

16. ABCD is a rectangle. BEA+CEF =?

A. 135 B.120 C.130 D.140 E. 135

17. Given the square ABCD. Find the area of AMCK

A. 2 B. C.0.75 D. E. None of these

18. Find the value of

A. 32 B.-32 C. D. 1 E.2

19. Find the area of the octagon inscribed in a square with side 3

A. 3 B. 9 C.7 D. E.27

20. Find the sum of

-1²+2²-3²+…-99²+100²

A. 5050 B. -10000 C. 16578 D.500 E.100

21.The price of potatoes changed over a four year period. 25% increase in the first year, 20% increase in the second year, 20%decrease in the third year and 50% increase in the fourth year. What was the overall percentage increase over the four year period(to the nearest 1%)

A.85% B.75% C.80% D.72% E.73%

22. The number of a house consists of 3 digit. If the sum of the number and its three individual digits is 429, then what is the product of its digits?

A. 48 B.28 C.30 D.40 E.24

23. Find the value of sin15

A. B. C. D. E.0

24. If y= , then

A. B. C. D. E. None of these

25. Find

A. x + +C B. +C C. +C

D. - +C E. None of these

26. Find the derivative of this function(варианты ответов не помним)

A. y=-2sin(2x) B.cos²x+2sin(2x) C.2sin(2x) D. cos(2x) E.None of these

27. y= , then

A. +sinx B. C.sinx- D. E. None of these

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