Meskan woreda educational office grade mathematics final exam
June 2017 E.C
I: write true if the statement is correct and false if the statement is incorrect
1. Two non-vertical line having slopes m1 and m2 are perpendicular if and only m1m2=-1
2. The value of cos2400 is ½
3. Every square is rectangle
4. If the terminal side of an angle is standard position lies along the x-axis or y-axis then the
angle is called quadrantal.
5. Slope described the steepness and direction of the function
II:match column A with B
0
6. Apothem of regular polygon 360
7. Area of regular polygon A. ½ π r 2sin
n
8. Secθ 180
0
9. Cotθ B. 2 πr sin
n
10. csecθ 0
180
C. rcos
n
1
D.
sinθ
1
E.
cosθ
cosθ
F.
sinθ
III: choose the correct answer from the given alternatives and blacken the respected letter of
your choice on the space provide
11. If line L1 passes through the points (5, x) and (-1, 3) and line L2 contains the point (x, 6)
and (2, 0) then the value of x for which the two line are perpendicular.
A. 2/5 B. 5/2 C. 5 D. ½
12. If a line passes through (2,8) and (-5, 15) then what is the degree measure of the angle of
inclination that this line makes with positive x-axis
A. 300 B. 450 C. 1350 D. 2250
13. If the line passing through point (2, 8) and (-7, t+4) is parallel to the line passing through
points (1, t) and (4, -2) then what is the value of t?
A. -1/2 B. 5/2 C. -5 D. 1
14. Which one of the following is the equation of line that is perpendicular to the line with
equation 2x+3y+4=0
A. 3y-2x+4=0 B. -3x-2y-4=0 C. 3x-2y+4=0 D. 2x+3y-4=0
15. The distance between P(2, 3) and Q(1, -1) is?
A. 17 units B. 16 units C. √ 17 units D. 9 units
16. If a line with x-intercept 4 and y-intercept -6 is given then its slope is equal to?
A. -2/3 B. -3/2 C. 2/3 D. 3/2
17. Which one of the following pairs of equation represents perpendicular line?
A. X+y=0 and –x+y=1 B. 2x+y=1 and -2x-y=1 C. x+y=1 and y-2x=2 D. 3x-2y=0 and
3x+2y=2
18. Which one of the following line is parallel to the line 5x-2y=0?
A. Y=-5/2 B. 2x+5y= -4 C. -5x-2y=1 D. -5x+2y=6
19. Find the coordinate of a point “R” that divides the line segment with the end point A(-3,
3) and (12, -7) in the ratio 2:3
A. (3, -1 B. (1/5, 2/5) C. (-1, 3 D. (-3, 1)
20. What is the coordinates of the mid-point of the line segments with the end points P(-3, 2)
and Q(5, -4)
A. (1, 1) B. (1, -1) C. (-1, -1) D. (-1, 1)
21. If sin =1/2 and is in the first quadrant then find the value of cos?
A. 1 B. ¾ C.
√3 D. ½
2
22. If sin=4/3 and cos =3/5 then find tan?
A. ¾ B. 4/3 C.
√3 D. 2/3
4
23. An angle formed by two chords intersecting with in a circle is 480 and one of the
intercepting arcs measure 420. Find the measures of the other intercepted arc?
A. 540 B. 960 C. 420 D. 480
24. In a figure below find the measure “X”
A. 1400 B. 500 C. 400 D. 200
25. Find the length side of a regular quadrilateral with radius 6 units
A. 6 √ 2 units B. 3 units C. 12 units D. 24 units
26. What is the area of an equilateral triangle of radius 6 units
A. 18√ 3units B. 3√ 3units C.27√ 3 units D.3 units
27. The slant height of aright circular come is 8cm. If the angle between the slant height and the
height at the vertex of the cone is 300 then what is the volume of the cone?
128 π 3 64 √ 3 π 25 6 π 3
A. cm B.128 π cm3 C. cm3 D. cm
3 3 3
28. The volume of pyramid that has height of 8m and are rectangular base of dimension 6m by 4m
is
A. 576m 3 B.192m 3 C. 96m 3 D. 64m 3
29. The diameter of a sphere is 13.5m. Find its surface area?
A. 182.1525 π m3 B.410.2r π m3 C. 171 π m3 D.193.5 πm3
30. Which one is the reference angle for 2120?
A. 800 B. 320 C. 700 D. 200
31. Tanθ =5/12 and is in the third quadrant then which of the following is true?
A. Secθ =5/13 B. cotθ =5/13 C. cscθ =-13/5 D. cosθ =12/13
32. The total surface area of the circular cylinder is 12cm2 and the altitude is 1cm find the
radius of base?
A. -3 B. 2 C. 3 D. 5
33. Find the value of the cylinder whose base circumference is 12cm and whose lateral area
is 288cm3?
A. 464cm3 B. 684cm3 C. 864cm3 D. 946cm3
34. In a figure below O is the centers of the circle then calculate “Y”?
A. 1300 B. 700 C. 350 D. 1350
35. Is a quadrilateral where only two of the side are parallel
A. Square B. trapezium C. rectangle D. all
36. Which of the following is true about parallelogram?
A. The opposite side are congruent
B. The opposite angle are congruent
C. The diagonal bisect each other
D. All
37. If θ is an angle in standard position and P(6,8) is a point in the terminal side of θ then
evaluate cotθ
A. 4/3 B. ¾ C. 2 D. 3
38. From the top of a vertical tree 10m height the angle of depression of an object that is on
the ground is 450, how far is the object from the base of the tree?
A. 1 B. 10 C. 5 D. 1/5
39. Find the gradient of the line passing through P(2, 1) and Q(4, 7)?
A. 10 B. 3 C. -2 D. 3
40. The equation of a circle x2+y2-12x-16y+19=0. Find the radius of the circle?
A. 6 B. 8 C. 9 D. 7
