FOURTH QUARTERLY EXAMINATION
GRADE 10-MATHEMATICS
I. Multiple Choices. Read and analyze the following items and choose the letter that corresponds
to the correct answer. Write your answer on a separate sheet of paper. (15 points)
1. The palace of pizza offers small, medium, and large pizzas with 14 different toppings available. How
many different toppings pizzas do they serve?
A. 3 x 14 =12 C. 14 x 14 x 14 = 2744
B. 3 + 14=17 D. 14 x 13 x 12 = 2184
2. The letters A, B, C and Dare used to form four letter passwords for entering a computer file. How
many passwords are possible if letters can be repeated?
A. 4 x 4 x 4 x 4 = 256 C. 4 + 4 + 4 +4 = 16
B. 4 x 3 x 2 x 1 = 24 D. 4 + 3 + 2 + 1 = 10
3. The restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be
ordered if each has a main dish, a salad and a dessert?
A. 5 x 3 x 4 = 60 C. 5 + 3 + 4 = 12
B. 5 x 3 + 4 =19 D. None of these
4. Twelve students compete in a race. In how many ways first three prizes be given?
A. 12 x 11 x 10 = 1320 C. 12 x 3 = 36
B. 12 + 11 + 10 = 33 D. None of these
5. From among the 36 teachers in a college, one principal, one vice-principal and the teacher-in charge
are to be appointed. In how many ways this can be done?
A. 36 x 35 x 34 = 42, 840 C. 36 x 3 = 108
B. 36 + 35 + 34 = 105 D. None of these
For items 6-10
The following are scores obtained by 9 students in a 25 item quiz in the subject Mathematics
( 12, 15, 14, 18, 20, 22, 22, 24, 25). Using the Mendenhall and Sincich Method. Determine the
following:
6. What is Q3?
A. 12 B. 18 C. 24 D. 25
7. What is the median?
A. 12 B. 15 C. 20 D. 22
8. What is the D5?
A. 12 B. 15 C. 20 D. 22
9. The value of P60?
A. 12 B. 18 C. 22 D.24
10. Position of D7?
A. 5 B. 6 C.7 D.8
11. What will be the probability of getting odd numbers if a dice is thrown?
A. ½ B. 2 C. 4/2 D. 5/2
12. The probability of getting two tails when two coins are tossed is ___.
A. 1/6 B. ½ C. 1/3 D. ¼
13. What is the probability of getting at least one head if three unbiased coins are tossed?
A. 7/8 B. ½ C. 5/8 D. 8/9
14. A card is drawn from a deck of 52 cards. What is the probability of getting the king of a black suit?
A. 1/26 B. 1/52 C. 3/26 D. 7/52
15. What is the probability of drawing an ace from a pack of 52 cards?
A. 4/13 B. 1/13 C. 1/52 D. None of the above
II. Matching Type (20 points)
Match each statement in column A to its corresponding item in column B, by writing the letter of
your answers on the space provided before each number.
Column A Column B
________ 1. The formula of combination A. 8
________ 2. Calculate 5 C 2 B.1
________ 3. The value of 4P1 C. 10!
________ 4. The formula of permutation D. Combination
________ 5. Find 9P2 E. Permutation
________ 6. The value of 8P1 F. 10
n!
________ 7. Find 10C10 G.
( n−r ) ! r !
________ 8. Calculate 10P10 H. 4
________ 9. Denotes arrangement of objects. I. 72
n!
________ 10. Order of objects does not matter J.
( n−r ) !
________ 11. Formula of Circular permutation K. P(n-1)!
________ 12. Average of the data set L. Mode
________ 13. Middle value of the data set M. Decile
________ 14. The most frequent in the data set N.D2
________ 15. It divides the data set into 4 equal parts O. Median
________ 16. It divides the data set into 10 equal parts P.D5
________ 17. It divides the data set into 100 equal parts Q. Quartile
________ 18. The median of the Quartile R.P50
________ 19. The median of the Decile S. Percentile
________ 20. The median of the Percentile T. Mean
III. Problem Solving. Solve the Q3, D6, P75 and P80 of the grouped data below. (20 points each)
Eighty randomly selected light bulbs were tested to determine their lifetime in hours. The
following frequency distributions were obtained.
Classes Frequency Lower Boundaries Cf
53-63 6 52 6
64-74 12 63.5 18
75-85 25 74.5 43
86-96 18 85.5 61
97-107 14 96.5 75
108-118 5 107.5 80
Prepared by:
MARY JANE A. PASCUAL
Checked by: Approved by:
JUDYBELL C. STO.TOMAS TESSIE J. MOLINA,PhD
