UPLB DEPARTMENT OF SCIENCE AND TECHNOLOGY SCHOLARS’ SOCIETY
SCIENCE, ENGLISH, AND MATHEMATICS ENRICHMENT PROGRAM 2024
DOST x NCR Review 2024
Questionnaire # ____
MATH SAMPLE TEST QUESTIONS
DIRECTIONS: Read the questions carefully. Select the best answer among the choices given. Use the
provided answer sheet and shade the letter that corresponds to your answer.
1. Divide (12c4- 4c3 + 8c) by 4c
a. 3c4- c3 + 2
b. 12c4- 4c3 + 4c
c. 3c3- c2 + 2c
d. 3c3- c2 + 2
2. Find the square of the binomial (7x + 16).
a. 14x2 + 112x + 32
b. 14x2 + 224x + 32
c. 49x2 + 112x + 256
d. 49x2 + 224x + 256
3. Simplify (12a4 + 29b2 + 96c ) - (10a3 + 4b2 +
97)
a. 2a + 96c + 122
b. 12a4- 10a3 + 25b2 + 96c - 97
c. 12a4 + 10a3 + 33b2 + 96c + 97
d. 22a7- 33b4 + 96c - 97
4. In the given figure, ∠BAC = 90°, and AD is
perpendicular to BC. Find the number of
right triangles in the given figure.
a.
b.
c.
d.
1
2
3
4
5. The length of a rectangle is 3 more
inches than its breadth. The area of the
rectangle is 40 in2. What
perimeter of the rectangle?
a. 20 in
b. 22 in
c. 24 in
d. 26 in
is
the
6. The figure below shows a quadrilateral
with given dimensions. Find the area of
the quadrilateral. (Note: Figure is not
drawn to scale).
a.
b.
c.
d.
150
160
170
25
7. A random number from 1 to 99 is
chosen. What is the probability that the
number picked is an even number or a
multiple of 9?
a. 5/9
b. 60/99
c. 4/9
d. None of the above
8. In a group of 20 people, 4 are children,
2 are teenagers, 12 are adults, and 2 are
senior citizens. What is the probability
of not picking an adult?
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UPLB DEPARTMENT OF SCIENCE AND TECHNOLOGY SCHOLARS’ SOCIETY
SCIENCE, ENGLISH, AND MATHEMATICS ENRICHMENT PROGRAM 2024
DOST x NCR Review 2024
a.
b.
c.
d.
2/5
3/5
1
3/4
9. The
membership
and
discipline
committee shall have 10 people to be
formed randomly from batch dogshow
with 13 members and batch Nin Nin
with 9 members. Find the probability
that the committee has 6 members from
batch dogshow and 4 members from
batch Nin Nin.
a. 0.33
b. 0.34
c. 0.69
d. 0.70
10. The mean of the following frequency is 8.
Find the value of Y.
a.
b.
c.
d.
20
25
30
35
11. The following are scores of 14 students
on a 50-item MATH 25 problem set: 16,
35, 2, 23, 11, 27, 32, 0.5, 29, 41, 13,
15.5, 50, 27. Compute for the 5th
decile.
a. D(5) = 24.50
b. D(5) = 24.75
c. D(5) = 25
d. D(5) = 25.75
12. Which is the appropriate frequency
distribution table with class width of 10
for the given scores in the previous
problem?
a.
b.
c.
d.
13. In a right-angled triangle ABC, AB = 12
units, AC = 13 and angle B = 90° . Find
the length of BC
a. 5
b. 11
c. 12
d. 6
14. Evaluate: cos(20o) × cos(40o) × cos(60o)
× cos(80o)
a. 1/16
b. 2/16
c. 3/16
d. 4/16
15. A ladder of length l meters is resting
against the wall. The base of the ladder
is x meters away from the base of the
wall. The angle between the ladder and
the wall is denoted as θ. Find θ in terms
of l and x.
a. Sin -1 (x/l)
b. Sin -1 (l/x)
c. Cos -1 (x/l)
d. Cos -1 (l/x)
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