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Mathematics
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5. “
1. You are given 45
seconds to answer each
question; if you need more
time, you can pause the
video.
2. When the time is up,
answers will be revealed.
INSTRUCTIONS

6. 1. This is located at the
intersection of the angle
bisectors of a triangle.
a. Incenter
b. Circumcenter
c. Centroid
d. Orthocenter

7. a. Incenter
ANSWER:

8. 2. This is located at the
intersection of the
perpendicular bisectors
from the sides of a triangle.
a. Incenter
b. Circumcenter
c. Centroid
d. Orthocenter

9. b. Circumcenter
ANSWER:

10. 3. This is located at
the intersection of the
medians of a triangle.
a. Incenter
b. Circumcenter
c. Centroid
d. Orthocenter

11. c. Centroid
ANSWER:

12. 4. This is located at the
intersection of the
altitudes.
a. Incenter
b. Circumcenter
c. Centroid
d. Orthocenter

13. d. Orthocenter
ANSWER:

14. 5. This kind of triangle has
its incenter, circumcenter,
centroid and orthocenter
in just one point.
a. Right Triangle
b. Isosceles Triangle
c. Equilateral Triangle
d. Obtuse Triangle

15. c. Equilateral
Triangle
ANSWER:

16. 6. This is formed by
connecting the orthocenter,
centroid and circumcenter.
a. Altitude
b. Median
c. Euler’s Line
d. Central Line

17. c. Euler’s
Line
ANSWER:

18. 7. A circle is drawn inside a
triangle such that it is
tangent to the sides of the
triangle. Its center will be
the triangle’s
a. Incenter
b. Circumcenter
c. Centroid
d. Orthocenter

19. a. Incenter
ANSWER:

20. 8. A circle is drawn outside a
triangle such that it is the
triangle’s vertices are on the
circle. Its center will be the
triangle’s
a. Incenter
b. Circumcenter
c. Centroid
d. Orthocenter

21. b. Circumcenter
ANSWER:

22. 9. The centroid will
always be ________
along each median.
a. halfway
b. quarter
c. two-thirds
d. three-fourths

23. c. two-thirds
ANSWER:

24. 10. This line is perpendicular
to a side of the triangle and
passing through the vertex
opposite it.
a. Longitude
b. Median
c. Altitude
d. Bisector

25. c. Altitude
ANSWER:

26. 11. The incenter is
always inside the
triangle.
a. True
b. False
c. Sometimes
d. Frequently

27. a. True
ANSWER:

28. 12. The circumcenter is
always inside the
triangle.
a. True
b. False
c. Sometimes
d. Frequently

29. b. False
ANSWER:

30. 13. The centroid is
always inside the
triangle.
a. True
b. False
c. Sometimes
d. Frequently

31. a. True
ANSWER:

32. 14. The orthocenter is
always inside the
triangle.
a. True
b. False
c. Sometimes
d. Frequently

33. b. False
ANSWER:

34. 15. The orthocenter,
centroid and
circumcenter are always
collinear
a. True
b. False
c. Sometimes
d. Frequently

35. a. True
ANSWER:

36. 16. Which of the following
is the factorization of the
binomial x2 - 42?
a. (x + 4)(x + 2)
b. (x – 4)2
c. x(x + 2x + 2)
d. (x – 4)(x + 4)

37. d. (x – 4)(x + 4)
ANSWER:

38. 17. Which of the
following has the
greatest value:
a. 3 + 32 + (3 + 3)2
b. 33
c. [(3 + 3)2]2
d. (3 + 3 + 3)2

39. c. [(3 + 3)2]2
ANSWER:

40. 18. The average of 5 different
counting numbers is 20. What is
the highest possible value that
one of the numbers can have?
a. 20
b. 40
c. 30
d. 90

41. d. 90
ANSWER:

42. 19. What is the missing
terms in the series 5, 20,
80, ___,1280, ___, 20,
480?
a. 50;210
b. 40;160
c. 35;135
d. 320;5120

43. d. 320;5120
ANSWER:

44. 20. In a certain school, the
ratio of boys to girls is 5 is to 7.
If there are 180 boys and girls
in the school, how many boys are
there?
a. 105
b. 90
c. 45
d. 75

45. d. 75
ANSWER:

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