Our Lady of the Pillar College – Cauayan
COLLEGE DEPARTMENT
Midterm Examination in Mat 0
(A Y. 2021 – 2022)
Name: Course &Yr.: BSN 1 – B Date: April, 2022
GENERAL DIRECTIONS: WRITE YOUR ANSWER/S ON THE ANSWER SHEET PROVIDED
BELOW.
Test I. A. Determine whether each of the following arguments is an example of
inductive reasoning or deductive reasoning.
1. Dogs don’t eat banana.
Sam is a dog.
Therefore, Sam does not eat banana.
2. All Steven Spielberg movies are worth watching.
The movie Jurassic Park is a Steven Spielberg movie.
Therefore, Jurassic Park is worth watching.
3. It is usually hot during summer season in the Philippines.
It is summer now in the Philippines.
Thus, it is hot now in the Philippines.
4. All readers of Harry Potter novels are over 13 years old.
Sofia reads Harry Potter novels.
Therefore, Sofia is over 13 years old.
5. Dennis hasn’t bought any snack.
His parents haven’t bought any snack.
Therefore, there won’t be anything to eat for the picnic.
6. Marcelo did not win the game 2 days ago.
Marcelo did not win the game yesterday.
Thus, Marcelo will the game today.
7. 25 is divisible by 5.
30 is divisible by 5.
Therefore, numbers ending in 0 or 5 are divisible by 5.
8. All rainy days are cloudy.
Yesterday was not cloudy.
Therefore, yesterday was not rainy.
9. All prime numbers are odd.
2 is a prime number.
Therefore, 2 is an odd number.
10. All congressmen are politician.
Some corrupt are politicians.
Some corrupt people aren’t congressmen.
, 1. In a UAAP Volleyball league consisting of 8 teams, each team plays each other teams
exactly two times in the elimination round. How many league games will be played in the
elimination round?
2. If the hypotenuse of a right triangle measures 10 meters, and one leg is 2 meters
more than the other. Find the length of the legs. (Hint: Quadratic Equation)
C. Write the first three terms of the sequence whose nth term is given by the formula.
1. an n 1
1
an
2. n1
4n
an
3. n2
n
4. an 3
D. Use the difference table to predict the next term in the sequence.
1. 2, 6, 22, 56, 114, 202, …
2. 3, 9, 15, 21, 27, …
3. 2, 6, 12, 20, 30, 42, …
4. 1, 8, 21, 40, 65, 96, …
5. 6, 11, 18, 27, 38, 51, …
Test II. A. A sales representative for a publishing company recorded the following
numbers of client contacts for the 36 days that he was on the road in the month of May.
Use the given data to construct a grouped frequency distribution. Determine the class
boundaries, relative frequencies, cumulative frequency, and midpoint. (Use Rule 1)
28 30 16 22 18 24 32 20 23 25 26 21
29 30 16 23 19 24 32 20 23 26 27 21
28 29 15 22 17 23 31 19 23 24 26 20
B. Solve the following problems:
1. In a certain shopping mall, restaurants charge P140, P195, P125, P150, P200, P165,
P175, P190, P230, and P180 for a regular dinner. Find the average cost.
2. Fifteen randomly selected business administration students were asked to state the
number of hours they slept last Sunday. The resulting data are 4, 5, 7, 6, 7, 8, 10, 5, 4,
11, 12, 11, 10, 8, and 7. Find the mean.
3. The cost of 14 models od mobile phones at a cellular specialty store during 2015 was
as follows: P5,500, P10,200, P8,300, P9,750, P6,800, P15,550, P20,100, P12,700,
P17,000, P18,900, P31,200, P33,200, P37,800, and P21,300. Determine the median.
4. Fifteen companies were asked. “To how many charitable institutions did you give your
cash donations in 2016?” The companies responded that they gave money to 18, 15, 16,
10, 14, 13, 17, 20, 23, 27, 20, 19, 18, 27, and 22. Determine the median.
5. Upon examining the monthly billing records of an online book company, the auditor
takes a sample of 16 of its paid accounts. The amounts collected by the company were:
P780, P240, P1,000, P2,100, P850, P450, P620, P2,310, P992, P1,500, P870,
P1,200, P630, P1,050, P750, and P380. Determine the mode.
6. A taxi driver records the number of kilometers his car can drive on a full tank of gas.
COLLEGE DEPARTMENT
Midterm Examination in Mat 0
(A Y. 2021 – 2022)
Name: Course &Yr.: BSN 1 – B Date: April, 2022
GENERAL DIRECTIONS: WRITE YOUR ANSWER/S ON THE ANSWER SHEET PROVIDED
BELOW.
Test I. A. Determine whether each of the following arguments is an example of
inductive reasoning or deductive reasoning.
1. Dogs don’t eat banana.
Sam is a dog.
Therefore, Sam does not eat banana.
2. All Steven Spielberg movies are worth watching.
The movie Jurassic Park is a Steven Spielberg movie.
Therefore, Jurassic Park is worth watching.
3. It is usually hot during summer season in the Philippines.
It is summer now in the Philippines.
Thus, it is hot now in the Philippines.
4. All readers of Harry Potter novels are over 13 years old.
Sofia reads Harry Potter novels.
Therefore, Sofia is over 13 years old.
5. Dennis hasn’t bought any snack.
His parents haven’t bought any snack.
Therefore, there won’t be anything to eat for the picnic.
6. Marcelo did not win the game 2 days ago.
Marcelo did not win the game yesterday.
Thus, Marcelo will the game today.
7. 25 is divisible by 5.
30 is divisible by 5.
Therefore, numbers ending in 0 or 5 are divisible by 5.
8. All rainy days are cloudy.
Yesterday was not cloudy.
Therefore, yesterday was not rainy.
9. All prime numbers are odd.
2 is a prime number.
Therefore, 2 is an odd number.
10. All congressmen are politician.
Some corrupt are politicians.
Some corrupt people aren’t congressmen.
, 1. In a UAAP Volleyball league consisting of 8 teams, each team plays each other teams
exactly two times in the elimination round. How many league games will be played in the
elimination round?
2. If the hypotenuse of a right triangle measures 10 meters, and one leg is 2 meters
more than the other. Find the length of the legs. (Hint: Quadratic Equation)
C. Write the first three terms of the sequence whose nth term is given by the formula.
1. an n 1
1
an
2. n1
4n
an
3. n2
n
4. an 3
D. Use the difference table to predict the next term in the sequence.
1. 2, 6, 22, 56, 114, 202, …
2. 3, 9, 15, 21, 27, …
3. 2, 6, 12, 20, 30, 42, …
4. 1, 8, 21, 40, 65, 96, …
5. 6, 11, 18, 27, 38, 51, …
Test II. A. A sales representative for a publishing company recorded the following
numbers of client contacts for the 36 days that he was on the road in the month of May.
Use the given data to construct a grouped frequency distribution. Determine the class
boundaries, relative frequencies, cumulative frequency, and midpoint. (Use Rule 1)
28 30 16 22 18 24 32 20 23 25 26 21
29 30 16 23 19 24 32 20 23 26 27 21
28 29 15 22 17 23 31 19 23 24 26 20
B. Solve the following problems:
1. In a certain shopping mall, restaurants charge P140, P195, P125, P150, P200, P165,
P175, P190, P230, and P180 for a regular dinner. Find the average cost.
2. Fifteen randomly selected business administration students were asked to state the
number of hours they slept last Sunday. The resulting data are 4, 5, 7, 6, 7, 8, 10, 5, 4,
11, 12, 11, 10, 8, and 7. Find the mean.
3. The cost of 14 models od mobile phones at a cellular specialty store during 2015 was
as follows: P5,500, P10,200, P8,300, P9,750, P6,800, P15,550, P20,100, P12,700,
P17,000, P18,900, P31,200, P33,200, P37,800, and P21,300. Determine the median.
4. Fifteen companies were asked. “To how many charitable institutions did you give your
cash donations in 2016?” The companies responded that they gave money to 18, 15, 16,
10, 14, 13, 17, 20, 23, 27, 20, 19, 18, 27, and 22. Determine the median.
5. Upon examining the monthly billing records of an online book company, the auditor
takes a sample of 16 of its paid accounts. The amounts collected by the company were:
P780, P240, P1,000, P2,100, P850, P450, P620, P2,310, P992, P1,500, P870,
P1,200, P630, P1,050, P750, and P380. Determine the mode.
6. A taxi driver records the number of kilometers his car can drive on a full tank of gas.
