MARCH 2023 LET
GENERAL EDUCATION
MATHEMATICS
ACEJAN L. JADIE, LPT
BACHELOR OF SECONDARY EDUCATION – MATHEMATICS
DE LA SALLE UNIVERSITY - DASMARINAS
MARCH 2023 LET
ACEJAN L. JADIE, LPT
✔ DEPED HIGH SCHOOL TEACHER
✔ TOP 2 – BOARD LICENSURE EXAMINATION
FOR PROFESSIONAL TEACHERS, MARCH 2017
LET’S START
MATHEMATICS | GENERAL EDUCATION
1. Which of the following is the prime
factorization of 120?
a. 10x12
b. 2x5x12
c. 2x3x4x5
d. 2x2x2x3x5
2. A carpenter wanted three pieces of wood
each 2 1/2 feet long. If he planned to cut them
from a 10-foot piece of wood, how much of the
piece would be left?
a. -2/12
b. 2/12
c. 2 1/2
d. 21/2
3. A die is tossed. If the number is even, what is
the probability that it is prime?
a. 3/5
b. 1/2
c. 2/3
d. 1/3
4. What is the mean, median, & mode of the data
set 80, 81, 85, 89, 80, 82?
a. 82.8, 81.5, & 89
b. 82.8, 81.5, & 80
c. 82.8, 82, & 80
d. 83, 82, & 80
4.2. Compute for the mean, median, mode, and
mean deviation of 6, 7, 10, 12, 13, 4, 8, 12.
6−9 =3
7−9 =2
10 − 9 =1
12 − 9 =3
13 − 9 =4
4−9 =5
6 + 7 + 10 + 12 + 13 + 4 + 8 + 12
𝑀𝑒𝑎𝑛 = =9 8−9 =1
8 12 − 9 =3
𝐴𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝑀𝑒𝑎𝑛 𝐷𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛
3 + 2 + 1 + 3 + 4 + 5 + 1 + 3 22
= = = 2.75
8 8
5. The Jose, Juan, and Julianna were given each
an allowance for the entire week. The ratio of their
allowance is 3:4:5 respectively. If the sum of their
allowances is 2,520. How much is the allowance
given to Julianna?
a. 210
b. 630
c. 840
d. 1050
5.2. A recipe which is good for 8 persons calls for
3/5 cup of milk. How much milk will be needed by
a recipe for 15 persons?
5.2. It takes 4 men to finish the job in 6 hours. How
long will it take 7 men to finish the same job at the
same rate?
6. Josel’s earning Php 9, 200 a month will receive
a 15% increase next month. How much will her
new salary be?
a. 1380
b. 7820
c. 10580 9,200 (1.15) =10580
d. 13800
Dennis deposited her money at PlantBank with an annual interest rate
of 5%. If she deposited 10,000, and after 5 years withdrew it, how
much money will she have by then?
I = Prt
I = 10000(0.05)(5) = 2500
P+ I = 12500
7. What is the greatest common factor and the
least common multiple of the numbers 48, 12 and
32?
a. 2 & 48
b. 4 & 48
c. 2 & 96
d. 4 & 96
8. DJ can mow his lawn in 3 days. His brother can
do the same job in 4 hours. How long will it take
them to finish the job?
a. 7/12 days
b. 12/7 days
c. 19/72 hours
d. 72/19 hours
9. In the playground for kindergarten kids, 18
children are riding tricycles or bicycles.
If there are 43 wheels in all, how many tricycles are
there?
a. 6
b. 7
c. 11
d. 14
10. The area of the rectangle on the right is
(x2 + x - 12). If its length is x + 4, what is its
width?
a. x – 4
b. x – 3
c. x + 5
d. x + 4
11. Simplify:
5𝑥 2 − 7𝑥 + 3 4𝑥 2 + 𝑥 − 9
2
− 2
𝑥 − 5𝑥 − 6 𝑥 − 5𝑥 − 6
𝑥+2
a.
𝑥+1
𝑥+1
b.
𝑥−2
𝑥−1
c.
𝑥+2
𝑥−2
d.
𝑥+1
12. If P represents any even number and Q
represents any odd number, which of the
following numbers is even?
a. Q + 2
b. (P+1)(Q-1)
c. P - 1
d. Q(Q+2)
13. If the perimeter of a certain school’s covered
court is 78 m and the distance from ring to ring is
26 m, how wide is the court?
a. 52 m
b. 49 m
c. 26 m
d. 13 m
14. Two lottery tickets are drawn from 15 tickets
for first and second prizes. Find the number of
ways the two tickets can be drawn.
a. 225
b. 210
c. 30
d. 15
15. If 16𝑥 = 8𝑦 , the ratio of y to x is?
a. 3:4
b. 4:3
c. 2:2
d. 2:4:3
16. A triangle has a perimeter of 50. If 2 of its sides
are equal and the third is 8 more than the equal
sides, what is the length of the third side?
a. 14
b. 22
c. 28
d. 42
18. One angle of a parallelogram is 40˚. What are
the measures of the three other angles?
a. 40˚, 140˚, & 140˚
b. 40˚, 180˚, & 180˚
c. 40˚, 140˚, & 180˚
d. 40˚, 90˚, & 100˚
18. Which of the following number represents a
Pythagorean triple?
a. 2, 4, 5
b. 5, 10, 12
c. 9, 16, 25
d. 14, 48, 50 196 + 2304 = 2500
18. What is the complete factorization of
x3 + 3x2 + 2x?
a. x(x+1)(x+2)
b. x(x+2)(x+3)
c. x(x-2)(x+3)
d. x(x-1)(x+2)
19. In how many ways can you sit 7 students in a
round table at the cafeteria?
a. 7
b. 49
c. 720
d. 5040
20. What is the midpoint of the line segment
joining the points (6,4) and (3,-5)?
a. (9/2, 1/2)
b. (9/2, -1/2)
c. (3/2, 9/2)
d. (11/2, 1/2)
A(2,5) and B(8,-3)
21. If y = 3x – 2, what is the value of y when x = -2?
a. -8
b. 0
c. 4
d. 8
22. If a square has an area of 225m2, which of the
following is the measure of its side??
a. 9
b. 11
c. 13
d. 15
23. The contingency table below shows how the
number of senior high students that has and has
no cellphones. What is the probability that a
Grade 12 student has cellphone.
a. 105/165
Grade11 Grade 12 Total
Has 60 45 105
Cellphone
b. 80/165
No 25 35 60
Cellphone
Total 85 80 165
c. 45/80
d. 9/16
24. A committee of 6 people is to be formed from
10 participants. If Tin must be on the committee,
how many unique committees can be formed?
a. 6
b. 15
c. 210
d. 252
25. Fae’s average scores on her first 2 tests is 80.
If her average on her last 3 tests is 90, what is her
average score for all 5 tests?
a. 88
b. 87
c. 86
d. 85
26. Jonah’s grades in math for three quarters are
93, 95, & 94. What grade should he get on fourth
quarter to get an average of 95?
a. 96 93 + 95 + 94+?
= 95
4
b. 97
95 4 = 380
c. 98 380 − 93 − 95 − 94 = 98
d. 99
27. What is 25% of 2/3 of 12?
a. 200
b. 100
c. 8
d. 4
28. Which two angles are supplementary?
a. 21 degrees and 69 degrees
b. 35 degrees and 55 degrees
c. 75 degrees and 105 degrees
d. 90 degrees and 270 degrees
29. Which of the following equation(s) is/are TRUE?
I. 25𝑥 2 − 16 = (5𝑥 − 4)(5𝑥 + 4)
II. 𝑥 2 − 5𝑥 − 6 = (𝑥 − 1)(𝑥 + 6)
III. 𝑥 2 − 6𝑥 + 36 = (𝑥 − 6)(𝑥 − 6)
IV. 3𝑥 3 + 2𝑥 2 − 𝑥 = 𝑥(3𝑥 2 + 2𝑥 − 1)
a. I and IV
b. I and III
c. I and II
d. I, II, III, and IV
30. Simplify 2[( 21 + 4)(9 – 29) + 120].
a. 1240
b. 760
c. -760
d. -1240
31. How many liters 40% solution must be added to
10L of 70% solution to produce 60% acid solution?
a. -10
b. -5
c. 5
d. 10
32. The area of the rectangle on the right is
(x2 + x - 12). If its length is x + 4, what is its width?
a. x – 4
b. x – 3
c. x + 5
d. x + 4
33. Julie adds 350 ml of water to a container that
already contains 1.5 liters of water. How much
water is now in the container?
a. 1850 mL
b. 1900 mL
c. 1.8 L
d. 1.9 L
34. Richard drives 30 km from his home to a store
at a speed of 40 km per hour. If he makes a return
trip at a speed of 50 km per hour, what is the total
amount of time he spent in driving?
a. 1 hour
b. 1.21 hour
c. 1 hour and 35 minutes
d. 1 hour and 21 minutes
35. In a certain school, the ratio of girls to boys is 4
to 5. If there are 135 girls and boys in the school,
how many girls are there??
a. 60
b. 65
c. 70
d. 75
36. Leonard made a nursery box shaped like a right
rectangular prism that is 15 in wide, 20 in. long. She
fills it with 2400 cu. in. of soil. What is the height of
the soil?
a. 24 in
b. 15 in
c. 8 in
d. 4 in
37. What is the next term in the sequence:
5, 11, 23, 47, ___?
a. 65
b. 95
c. 105
d. 135
2 𝑥
38. Given that = , x is equal to:
𝑎 𝑏
a. twice the product of a and b
b. twice the quotient of a and b
c. twice the product of b and a
d. twice the quotient of b and a
𝐵 = {2,3,4,2,3,5,5,4,5}
39. What is the probability that a number selected
randomly from above set will be the median of the
set?
a. 2/9
b. 3/9
c. 1/3
d. 1/9
40. If two variables x and y are inversely related,
which of there are TRUE?
a. when x is high, y is also high
b. as x increases, y also increases
c. when x decreases, y increases
d. low x is associated with low y
END
MATHEMATICS | GENERAL EDUCATION
MARCH 2023 LET
GENERAL EDUCATION
Additional Tips
ACEJAN L. JADIE, LPT
BACHELOR OF SECONDARY EDUCATION – MATHEMATICS
DE LA SALLE UNIVERSITY - DASMARINAS
MARCH 2023 LET
GENERAL EDUCATION
MATHEMATICS
ACEJAN L. JADIE, LPT
BACHELOR OF SECONDARY EDUCATION – MATHEMATICS
DE LA SALLE UNIVERSITY - DASMARINAS
