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Math Percentile Rank & Probability

This document appears to be a mathematics assessment test covering topics related to percentiles, percentile ranks, and probability. The test contains multiple choice and short answer questions. Some questions ask students to calculate percentile ranks, determine if a score falls within the top 10%, and calculate probabilities of simple and compound events. The document provides a table for students to complete with lower boundaries and cumulative frequencies to solve a problem involving percentile ranks.
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0% found this document useful (0 votes)
145 views6 pages

Math Percentile Rank & Probability

This document appears to be a mathematics assessment test covering topics related to percentiles, percentile ranks, and probability. The test contains multiple choice and short answer questions. Some questions ask students to calculate percentile ranks, determine if a score falls within the top 10%, and calculate probabilities of simple and compound events. The document provides a table for students to complete with lower boundaries and cumulative frequencies to solve a problem involving percentile ranks.
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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4th Quarter in Mathematics 4th Quarter in Mathematics

Percentile Rank Percentile Rank


Name: ___________________________________ Score: _____________ Name: ___________________________________ Score: _____________
Grade 10- _____________________ Date: ______________ Grade 10- _____________________ Date: ______________
I. Choose the letter of the correct answer. Write it on the blank before the number. I. Choose the letter of the correct answer. Write it on the blank before the number.
______1. Which of the following is equivalent to lower quartile? ______1. Which of the following is equivalent to lower quartile?
A. 50th percentile B. 25th percentile C. 2nd decile D. 3rd quartile A. 50th percentile B. 25th percentile C. 2nd decile D. 3rd quartile
______2. In a 70-item test, Melody got a score of 50 which is the 4 decile. This means
th
______2. In a 70-item test, Melody got a score of 50 which is the 4 th decile. This means
that that
A. She got the highest score. A. She got the highest score.
B. Her score is higher than 40 of his classmates. B. Her score is higher than 40 of his classmates.
C. She surpassed 40% of his classmates. C. She surpassed 40% of his classmates.
D. Sixty percent of the class did not pass the test. D. Sixty percent of the class did not pass the test.
______3. Angie ranks 10th in a class of 40. Her percentile rank is_______. ______3. Angie ranks 10th in a class of 40. Her percentile rank is_______.
A. 90 B. 25 C. 75 D. 20 A. 90 B. 25 C. 75 D. 20
______4. What measure of position is best use, if you are going to look for lower 60% ______4. What measure of position is best use, if you are going to look for lower 60%
and upper 40%? and upper 40%?
A. 2nd quartile B. 20th percentile C. 3rd quartile D. 6th decile A. 2nd quartile B. 20th percentile C. 3rd quartile D. 6th decile
______5. Mel’s score in a 75-item test was the median score. What is his percentile ______5. Mel’s score in a 75-item test was the median score. What is his percentile
rank? rank?
A. 35th B. 50th C. 75th D. 90th A. 35th B. 50th C. 75th D. 90th

II. Solve the given problem II. Solve the given problem
Dennis and Christine scored 32 and 23, respectively, in the National Career Assessment Dennis and Christine scored 32 and 23, respectively, in the National Career Assessment
Examination (NCAE). The determining factor for a college scholarship is that a student’s score Examination (NCAE). The determining factor for a college scholarship is that a student’s score
should be in the top 10% of the scores of his/her graduating class. The students in the should be in the top 10% of the scores of his/her graduating class. The students in the
graduating class obtained the following scores in the NCAE. graduating class obtained the following scores in the NCAE.
NCAE Scores f LB <cf 1. Complete the table by filling in the values of NCAE Scores f LB <cf 1. Complete the table by filling in the values of
39 – 41 6 LB (lower boundaries) and <cf (less than 39 – 41 6 LB (lower boundaries) and <cf (less than
36 – 38 7 cumulative frequency). 36 – 38 7 cumulative frequency).
33 – 35 9 33 – 35 9 2. What is the percentile rank of Dennis and
2. What is the percentile rank of Dennis and
30 – 32 13 30 – 32 13
Christine? Christine?
27 – 29 22 27 – 29 22
3. Based on their percentile and percentile 3. Based on their percentile and percentile
24 – 26 10 24 – 26 10
21 – 23 9 ranks, will Dennis and Christine receive a 21 – 23 9 ranks, will Dennis and Christine receive a
18 – 20 7 scholarship? Explain your answer. 18 – 20 7 scholarship? Explain your answer.
15 – 17 8 15 – 17 8
12 – 14 4 12 – 14 4
9 – 11 2 9 – 11 2
6–8 1 6–8 1
3–5 1 3–5 1
P
3rd Quarter in Mathematics 3rd Quarter in Mathematics
Probability of Simple Events Probability of Simple Events
Name: ___________________________________ Score: _____________ Name: ___________________________________ Score: _____________
Grade 10- _____________________ Date: ______________ Grade 10- _____________________ Date: ______________
Answer the following Answer the following
A. A card is drawn from an ordinary deck of playing cards. Find the probability A. A card is drawn from an ordinary deck of playing cards. Find the probability
of each following events. of each following events.
1. A red Ace 3. A red card 1. A red Ace 3. A red card

2. A Queen 4. A number 12 2. A Queen 4. A number 12

B. Earl Darenz is asked to choose a day from a week. What is the probability of B. Earl Darenz is asked to choose a day from a week. What is the probability of
choosing a day which starts with S? choosing a day which starts with S?

C. Choosing a month from a year, what is the probability of selecting a month C. Choosing a month from a year, what is the probability of selecting a month with
with 30 days? 30 days?

D. In a class where there are 29 boys and 21 girls, a box containing their D. In a class where there are 29 boys and 21 girls, a box containing their names is
names is placed on the table in front of the room. If a slip of paper is drawn placed on the table in front of the room. If a slip of paper is drawn at random,
at random, what is probability that the name on the slip of paper is that of a what is probability that the name on the slip of paper is that of a boy?
boy?

E. A box contains 7 red balls, 5 orange balls, 4 yellow balls, 6 green balls and 3 blue
E. A box contains 7 red balls, 5 orange balls, 4 yellow balls, 6 green balls and 3 balls. What is the probability of drawing out an orange ball?
blue balls. What is the probability of drawing out an orange ball?
3rd Quarter in Mathematics 3rd Quarter in Mathematics
Compound Probability of Simple Events
Name: ___________________________________ Score: _____________ Name: ___________________________________ Score: _____________
Grade 10- _____________________ Date: ______________ Grade 10- _____________________ Date: ______________
Answer the following Answer the following
A. A card is drawn from an ordinary deck of playing cards. Find the probability A. A card is drawn from an ordinary deck of playing cards. Find the probability
of each following events. of each following events.
1. A red Ace 3. A red card 1. A red Ace 3. A red card

2. A Queen 4. A number 12 2. A Queen 4. A number 12

B. Earl Darenz is asked to choose a day from a week. What is the probability of B. Earl Darenz is asked to choose a day from a week. What is the probability of
choosing a day which starts with S? choosing a day which starts with S?

C. Choosing a month from a year, what is the probability of selecting a month C. Choosing a month from a year, what is the probability of selecting a month with
with 30 days? 30 days?

D. In a class where there are 29 boys and 21 girls, a box containing their D. In a class where there are 29 boys and 21 girls, a box containing their names is
names is placed on the table in front of the room. If a slip of paper is drawn placed on the table in front of the room. If a slip of paper is drawn at random,
at random, what is probability that the name on the slip of paper is that of a what is probability that the name on the slip of paper is that of a boy?
boy?

E. A box contains 7 red balls, 5 orange balls, 4 yellow balls, 6 green balls and 3 blue
E. A box contains 7 red balls, 5 orange balls, 4 yellow balls, 6 green balls and 3 balls. What is the probability of drawing out an orange ball?
blue balls. What is the probability of drawing out an orange ball?

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