MATHEMATICS GRADE 10

FORTH QUARTER EXAMINATION

S.Y. 2024 – 2025
Direction: Choose the letter of the correct answer and shade it on the separate answer sheet.
1. The median score is also the __________.
A. 75th percentile B. 5th decile C. 3rd quartile D. 1st quartile
2. When a distribution is divided into hundred equal parts, each score point that describes the distribution
is called ____________.
A. percentile B. decile C. quartile D. median
3. The lower quartile is equal to __________.
A. 50th percentile B. 25th percentile C. 2nd decile D. 3rd quartile
4. What does D1 stand for?
A. First quartile B. First decile C. Quartiles D. Median
5. Rochelle got a score of 55 which is equivalent to 70th percentile in a mathematics test. Which of the
following is NOT true?
A. She got scored above 70% of her classmates.
B. Thirty percent of the class got scores of 55 and above.
C. If the passing mark is the first quartile, she passed the test.
D. Her score is below the fifth decile.
6. A dataset of student test scores is arranged in ascending order. If a particular score falls within the 7th
decile, which of the following is TRUE?
A. Approximately 7% of the scores are below this score.
B. Approximately 30% of the scores are above this score.
C. Approximately 70% of the scores are above this score.
D. Approximately 3% of the scores are below this score.
7. A teacher wants to divide her class’s test scores into four groups based on performance. Which
measure of position would be most appropriate for her to use?
A. Decile B. Percentile C. Quartiles D. Median
8. The Department of Education (DepEd) released the National Achievement Test (NAT) results for
Grade 10 students nationwide. In a specific region, the 8th decile (D8) for Mathematics subject was a
score of 65. What does this indicate about the performance of students in that region?
A. 80% of the students scored exactly 65 in Mathematics.
B. 20% of the students scored above 65 in Mathematics.
C. 80% of the students scored above 65 in Mathematics.
D. 20% of the students scored below 65 in Mathematics.
9. A student’s score on a standardized test was in the 90th percentile. What does this mean?
A. The student answered 90 questions correctly.
B. The student scored higher than 90% of the other students.
C. The student scored 90% on the test.
D. The student scored 10% higher than the average student.
 10. Your Math teacher told you that your score on the last test was in the 75th percentile. What does this
mean about your score compared to your classmates?
A. You got 75 questions right.
B. You scored higher than 75% of your classmates.
C. You scored lower than 75% of your classmates.
D. You scored exactly 75 points.
11. To find the median of a set of data, which of the following steps is essential?
A. Adding all the number together.
B. Arranging the numbers in ascending order.
C. Multiplying all the numbers together.
D. Finding the range of the numbers.
For items 13 to 17, refer to the following set of numbers recorded by the P.E. teacher on the number of sit-
ups each student in the class could do in one minute.
15, 20, 20, 22, 25, 28, 28, 28, 30, 32, 35, 38, 39, 40
12. What is the Q1 of the data?
A. 20 B. 20.5 C. 21 D. 21.5
13. What is the Q3 of the numbers recorded?
A. 35 B. 35.25 C. 35.5 D. 35.75
14. What is the D4 of the data recorded?
A. 25 B. 28 C. 30 D. 32
15. What is the D7 of the data?
A. 32 B. 33 C. 33.5 D. 38
16. What is the P60 of the data?
A. 30 B. 32 C. 35 D. 38
17. What is the P45 of the numbers recorded?
A. 28 B. 28.5 C. 30 D. 30.5
18. What is the P65 of the data?
A. 30 B. 31 C. 31.5 D. 32
19. Which of the following is the upper percentile of the data?
A. 35 B. 35.25 C. 35.75 D. 36
20. You have a list of test scores. To find the score that is lower than 25% of the other scores, what do
you need to find?
A. The average of all scores
B. The middle score
C. The first quartile
D. The highest score
21. When calculating the second quartile of a dataset, what is the primary factor that determines whether
you will need to average two numbers or select a single number as the second quartile?
A. The range of the dataset
 B. The number of values in the dataset
C. The average of the dataset
D. The highest value in the dataset
22. You want to determine the precise percentage of students who scored below your test score. Which
measure of position would give you the MOST detailed information?
A. Quartiles
B. Deciles
C. Percentiles
D. Median
23. If you want to divide a class into 10 equal performance groups, which calculation is MOST
appropriate?
A. Finding the median
B. Calculating quartiles
C. Determining deciles
D. Calculating percentiles
24. Which measure of position is also known as the “second quartile”?
A. The first decile
B. The median
C. The second percentile
D. The 75th percentile
25. Which measure of position is used to identify the value below which 25% of the data falls?
A. Median
B. Third quartile
C. First quartile
D. 75th percentile
26. Your teacher wrote these test scores on the board: 60, 70, 80, 90, 100. If your score is 80, which
percentile are you in?
A. 25th percentile
B. 50th percentile
C. 75th percentile
D. 90th percentile
27. Your class’s test scores are: 75, 80, 85, 90. If your score is 85, what quartile are you in?
A. First quartile
B. Second quartile
C. Third quartile
D. Fourth quartile
28. Your teacher said your score on a quiz was in the 80th percentile. If you want to explain this to a
friend who doesn’t know about percentiles, which of these would be BEST way to explain it
A. “I got 80 questions right.”
 B. “I scored better than most of the class.”
C. “I scored 80 points.”
D. “I scored worse than most of the class.”
29. A class of 40 students took a mathematics test. Maria scored at the 85th percentile. What does this
mean about Maria’s performance?
A. Maria scored higher than 85 students in the class.
B. Maria scored lower than 85% of her classmates.
C. Maria scored higher than 85% of her classmates.
D. Maria’s score was 85 out of 100.
30. Your teacher wants to quickly see if 80% of the class passed a certain score. Which calculation would
be MOST helpful?
A. Finding the 8th percentile
B. Finding the 8th decile
C. Finding the 8th quartile
D. Finding the median.
For items 31 to 35, refer to the following table. A group of Grade 10 students were asked to write down all
the Philippine National Heroes that they know in 5 minutes. The following distribution contains the number
of heroes they were able to recall in 5 minutes. The Class Intervals contain the numbers of heroes the
students were able to recall. The Frequency is the number of students.
Lower Class
Class Interval Frequency ( f ) ¿ cf
Boundary (LCB)
36 - 40 2 35.5 60
31 - 35 7 30.5 58
26 - 30 6 25.5 51
21 - 25 13 20.5 45
16 - 20 15 15.5 32
11 - 15 10 10.5 17
6 - 10 4 5.5 7
1-5 3 0.5 3

31. What is the size of the class interval?

A. 3 B. 4 C. 5 D. 6
32. What is the Q3 of the distribution?
A. 20.5 B. 25.5 C. 30.5 D. 35.5
33. Which of the following is the D4 class?

A. 1 - 5 B. 6 - 10 C. 11 - 15 D. 16 - 20
34. What is the less than cumulative frequency(<cf) of the class interval containing the Q1?
A. 3 B. 7 C. 17 D. 32
35. What is the P95 of the distribution?
A. 34 B. 34.25 C. 34. 75 D. 34.79
36. You have a dataset with an even number of values. To find the median, you need to __________.
A. Pick the middle value.
B. Average the two middle values.
C. Add all values and divide by the count.
D. Find the most frequent value.
37. You want to know if your score is better than 90% of your classmates. Which calculation is MOST
useful?
A. Finding your average score
B. Finding your percentile
C. Finding the range of scores
D. Finding the mode of scores
38. You want to find the score that represents the point where you did better than 75% of your
classmates. Which calculation is MOST useful?
A. Find the median
B. Finding the 75th percentile
C. Finding the average
D. Finding the range
39. A teacher wants to quickly identify the score that separates the top 10% of students from the rest.
Which calculation would be most useful?
A. Finding the 9th decile
B. Finding the 10th percentile
C. Finding the 3rd quartile
D. Finding the average
40. You need to design a method to divide your class into four equally sized groups based on their fitness
test performance. Which measure of position would you use, and what steps would you follow?
A. Average, calculate the average and divide by four.
B. Range, subtract the lowest from the highest and divide by four
C. Quartiles, arrange the scores in ascending order and find the three quartile values
D. Mode, find the most frequent score and group students based on that.

~ Put your best effort on the exam

and God will surely crown you with success.
My good wishes will always be with you.
GOD BLESS!