It is unedited so please beware with the typographical errors.

1. Republic of the Philippines
Department of Education
Region VII Central Visayas
Division of Cebu City
Quiot National High School
Bogo, Quiot, Cebu City
Semi-Final in Math 8
Name: _________________________ Yr./Section: _______ Parent’s Name & Signature: __________
Direction: Read and analyze each item carefully. Then, encircle the letter of the correct answer or else write the best
answer that suits the questions before the number item.
1. It is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is
expressed as a number between 1 and 0.
a. Statistics b. Probability c. Algebra d. Geometry
2. It is a set of outcomes of an experiment.
a. An event b. an outcome c. an experiment d. a sample space
3. Is the set of all possible outcomes or results of that experiment.
a. Sample space b. event c. experiment d. outcome
4. It is a possible result of an experiment or trial .
a. Outcome b. experiment c. event d. sample space
5. The triangle inequality states that the sum of the lengths of any two sides of a triangle is _________ the length
of the remaining side.
a. equal b. greater than c. less than d. not equal
For number items 6-7, read and analyze the problem carefully and answer the following questions.
A bag contains 5 red, 4 blue and 8 yellow marbles. If a marble is drawn at random, what is the probability
that it is:
6. A red marble?
a. 4/17 b. 5/17 c. 10/17 d. 4/17
7. A yellow marble?
a. 9/17 b. 8/17 c. 8/17 d.11/17
8. How many possible outcomes when you roll a die twice?
a. 6 b. 12 c. 24 d. 36
9. What is the probability of getting a number 5 in rolling a die?
a. ½ b. 1/3 c. 1/5 d. 1/6
10. Two coins are tossed, find the probability that two heads are obtained.
a. ½ b. 1/4 c. 1/6 d. 1/8
11. A balanced die is rolled. What is the probability of getting a number that is not 5?
a. 0/6 or 0 b. 1/6 c. 5/6 d. 6/6 or 1
For number 12-14, read and analyze the problem carefully and answer the following questions.
If a die is rolled, find the probability of the following event.
12. Getting an even number
a. 1/3 b. 1/5 c. 1/6 d. ½
13. Getting a prime number
a. ½ b. 2/3 c. ¼ d. 5/6
14. Getting a multiple of 7
a. ½ b. 5/6 c. 0/6 or 0 d. 1/3
15. The local weather forecaster said that there is a 30% chance of rain tomorrow. What is the probability that it will
not rain tomorrow?
a. .20 b. .30 c. 50 d. .70

2. 16. Which three lengths could be the lengths of the sides of a triangle?
a. 12 cm, 5 cm, 17 cm c. 9 cm, 22 cm, 11 cm
b. 10 cm, 15 cm, 24 cm d. 21 cm, 7 cm, 6 cm
17. Solve for the missing exterior angle, n with the given figure.
a. n = 75  c. n = 105
b. n = 150  d. n = 180
18. What is the formula for the exterior angle theorem?
a. m< A + m< B + m< C = 180 c. m< A + m< B = m< D
b. m< B + m< D = 180 d. m< A + m< B + m< C = m< D
19. Which three lengths can NOT be the lengths of the sides of a triangle?
a. 23 m, 17 m, 14 m c. 5 m, 7 m, 8 m
b. 11 m, 11 m, 12 m d. 21 m, 6 m, 10 m
20. These are two lines that are always the same distance apart and never touch.
a. Parallel Lines c. Intersecting lines
b. Perpendicular lines d. Straight line
21. Which pair of angles are alternate exterior angles?
a.  7 and  4 c.  2 and  6
b.  8 and 1 d. 2 and  8
22. In the figure below, name the angle relationship.
a. Alternate interior c. Alternate interior
b. Corresponding d. Vertical angles
23. What is a possible third side to a triangle with side lengths of 13 and 4?
a. 9 b. 12 c. 5 d. 8
24. What is the smallest angle in this triangle?
a.A c. C
b. B D. none of the above
25. In AIM, A = 40 ,  I = 60 , which side is the longest?
a. AM b. MA c. AI d. none of the above
26. What is a possible third side to a triangle with side lengths of 5 and 5??
a. 9 b. 11 c. 10 d. 12
27. In the given figure, what us the value of x?
a. 37 c. 148 x + 2
b. 74 d. 180
30
28. A triangle has two angles that measure 15° and 25°. What is the measurement of the third angle?
a. 140 b. 120 c. 80 d. 100
For numbers 29-33, A card is drawn from a deck of 52 cards. What is the probability that the card drawn is:
29. An ace?
a. 1/13 b. ½ c.1/4 d. 1/36
30. A heart?
a. ¼ b.5/36 c. ¼ d.1/13
31. A red card?
a. ½ b.1/4 c/ ¾ d. 1
32. A face card?
a. 3/13 b. 4/13 c. ½ d. 3/4
33. Not a spade?
a. ¼ b. ¾ c. 1 d. 2/27
34. In rolling a die, the probability in getting more than 6 is ____.
a. Certain b. Unlikely c. likely d. impossible
35. The weather forecaster predicts that it will rain today with the probability of 25 %, what is the probability that it
will have a fine weather?

3. a. Likely b. Certain c. Impossible d. unlikely
36. A box contains a dozen ball pens. Some are colored red and blue and others are black. The probability of getting
black ball pen is ¾, how many black ball pens are in the box?
a. 4 b. 6 c. 8 d. 9
37. In a beauty pageant with 10 finalists and with equal chances of being chosen, what is the probability that the
contestant no. 1 will be one of the top 3 winners?
a. ½ b. 3/10 c. ¾ d. 0/10
38. Two dice are rolled. What is the probability that the sum is 9?
a. 1/9 b. ¾ c. 1/18 d. 5/36
39. It is a line that intersects or more coplanar lines at different points.
a. Transversal line c. Intersecting lines
b. Perpendicular lines d. Straight lines
40. These are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and
y axes that orient them.
a. Parallel Lines c. Intersecting lines
b. Perpendicular lines d. Straight lines
41. In the triangle below, which angles has the largest measure?
a.  H c.  G
b.  J d. None
42. A quadrilateral with two pairs of parallel sides
a. Rhombus c. trapezoid
b. Parallelogram d. trapezium
43. A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the probability of getting a blue,
marble.
a. ½ b. 2/5 c. 3/8 d. 7/10
44. Find the probability of getting an odd number when you roll a die containing the numbers 1-6.
a. 0.25 b. 0.50 c. 0.75 d. 0.99
45. A spinner is divided into 8 equal sector, numbered 1 -8. What is the probability of spinning a number divisible by
4?
a. ½ b. 1/3 c. ¼ d. 1/5
46. Which of the following is the correct order of the angles from the smallest to largest?
a. C, A, B c. C, B, A
b. A. B , C d. B, A, C
47. In the figure below, what would DFG measure?
a. 58  c. 180
b. 122 d. 34 
48. In the figure below, what is the measure of x?
a. 146  c. 69 
b. 77 d. 180 
49. In the figure below, which of the following has the longest side?
a.
−
𝐴𝐵 c.
−
𝐴𝐶
b.
−
𝐵𝐶 d. Both A and B
50. The Exterior Angle Theorem says that an exterior angle of a triangle is ______ to the sum of the 2 non-adjacent
interior angles.
a. equal b. greater than c. less than d. not equal

4. “Commit your work to the LORD, and your plans will be established.” Proverbs 16:3
Good luck and God Bless!