1. MATHEMATICS
(NAT REVIEW)
• GENERAL MATHEMATICS
• STATISTICS AND PROBABILITY

2. 1. Two tanks are filled with water at weekly rates given by
𝑡 𝑥 = 4𝑥 − 2 and 𝑙 𝑥 = 𝑥2
+ 𝑥. Which functions shows
that the total amount of t(x) of water is contained by both
tanks
• A. 𝑡 𝑥 = 𝑥2
+ 3𝑥 − 2
• B. 𝑡 𝑥 = 𝑥2
+ 5𝑥 − 2
• C. 𝑡 𝑥 = 4𝑥2
+ 5𝑥 − 2
• D. 𝑡 𝑥 = 4𝑥2
+ 𝑥 − 2

3. 2. If the function 𝑓 𝑥 = 4𝑥2
− 8 is decreased by g 𝑥 =
𝑥2
+ 𝑥, what value will the new function give for x=5?
A. 30
B. 62
C. 78
D. 92

4. A Senior High School offers three academic strands: GAS, STEM and
HUMSS. The following table shows the proportion of teachers by
strand, and within each strand, the proportion by gender.
GAS STEM HUMSS
50% 20% 30%
Male Female Male Female Male Female
20% 80% 70% 30% 40% 60%
3. The School Principal wants to have a classification on the
probability of randomly selecting a teacher to lead a forum. What is
the probability that a randomly selected teacher is a male from the
GAS strand?
A.0.10 B.0.12 C.0.16 D.0.20

5. 4. The probabilities of selecting 1, 2, 3, and 4 items at a
department store are 0.20, 0.45, 0.25, and 0.10, respectively.
Which of the following is the CORRECT sequence of the given
discrete data, based on increasing probability of being chosen at
random?
A.4,1,3,2
B.3,1,2,4
C.2, 3, 1, 4
D.1,4,2, 3

6. 5. STUDY THE TABLE BELOW:

7. 6. STUDY THE TABLE BELOW

8. 7. What are the domain and range of the relation 𝑦 =
𝑥+5
𝑥−5
A. Domain = {all real numbers}; Range = {all real numbers}
B. Domain = {all real numbers excepts x≠ −5}; Range = {all real numbers}
C. Domain = {all real numbers excepts x≠ 5}; Range = {all real numbers}
D. Domain = {all real numbers}; Range = {all real numbers except x ≠ 5}

9. 8. Used the given function 𝑓 𝑥 =
2𝑥 + 8, 𝑥 ≤ −2
𝑥2
− 3, −2 < 𝑥 ≤ 3
𝑥 + 3, 𝑥 > 3
. What is f(1)?
A. -2
B. 2
C. 6
D. Undefined

10. 9. Mark charges ₱100 for an encoding work. In addition, he
charges ₱5 per page of printed output. How many pages were
printed if mark received a payment of ₱600?
A. 60
B. 80
C. 100
D. 120

11. 10. The function y=150+50x describes the hourly wage(y)
of a math tutor earning a flat rate of ₱150 plus ₱50 for
each student the tutor assists during that hour. What is the
hourly wage of the tutor for assisting five students?
A. 150 pesos
B. 200 pesos
C. 250 pesos
D. 400 pesos

12. 11. Which of the foolowing graphs represents functions?

13. 12.