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PART 1
10. Which statement is true?
A. 5–√ is a rational number.
B. b. 0 is a positive number
C. 3–√ is a real number.
D. 4–√ is an irrational number
11. If a die is rolled, what is the probability of
getting a number divisible by 2?
A. 1/6
B. 1/2
C. 1/4
D. 1/3
15. A wood frame for pouring concrete has an
interior perimeter of 14 meters. Its length is one
meter greater than its width. The frame is to be
braced with twelve-gauge steel cross-wires.
Assuming an extra half-meter of wire is used at
either end of a cross-wire for anchoring, what
length of wire should be cut for each brace?
A. 6 m
B. 7 m
C. 8 m
D. 12 m
23. What is the equation of the line whose slope
is -2 and whose y-intercept is 3?
A. 2x +3y =6
B. x +2y =3
C. 2x +2y =4
D. 2x +y =3
35. Given the following scores of 70, 95, 60, 80,
and 100, what can you infer from the measures of
variability that can be obtained from this?
A. The population is very homogeneous.
B. The measures are very unstable.
C. The grades are very scattered.
D. The range of scores is a very reliable measure
of variability.
37. What is the measure of an interior angle of a
regular dodecagon?
A. 120 degrees
B. 130 degrees
C. 140 degrees
D. 150 degrees
38. 1/5 of the width and 1/4 of the length of a
rectangular cardboard is cut off. What part of the
original cardboard is the area of the remaining
piece?
A. 30% of the original area
B. 40% of the original area
C. 50% of the original area
D. 60% of the original area
49. If a baseball player hits 10 home runs in the
first 45 games, at the same rate how many home
runs can he expect to hit during the 162-game
season?
A. 38
B. 42
C. 36
D. 40
59. How many ways can a committee of 4 people
be selected from a group of 7 people?
A. 35
B. 70
C. 140
D. 210
60. A rectangle is 4 times a long as it is wide. If
the length of the third side?
A. 2 x 32
B. 4 x 16
C. 3 x 14
D. 5 x 12
68. If x = 1 and y = -2, what is the value of the
expression, x22xy−4x+3xy2?
A. -9/2
B. 15/2
C. -7/2
D. 17/4
69. Which among the following statements is
always true?
A. The supplement of an angle is acute.
B. The complement of an angle is obtuse.
C. The complement of any acute angle is
acute.
D. Two supplementary angles are congruent.
73. A square has an area of 400 sq. cm. What is
its perimeter?
A. 20 cm
B. 80 cm
C. 100 cm
D. 40 cm
74. If 500 or 25% of a graduating class are girls,
how many are graduating?
A. 2000
B. 5000
C. 10000
D. 20000
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79. How many prime numbers are there between
1 and 100?
A. 23
B. 24
C. 25
D. 26
82. Mr. Lucido deposited 225 pesos in the bank. If
his deposit consisted of 29 bills, consisting of 5
peso, and 10 peso bills, how many 10 peso bills
did he deposit?
A. 13
B. 14
C. 15
D. 16
85. If a picture frame is 27 cm long and 18 wide,
what is the ratio of its length to its width?
A. 3:2
B. 2:3
C. 3:5
D. 5:3
87. In how many ways can a team of 10
basketball players be chosen from 12 players?
A. 62
B. 64
C. 66
D. 72
88. Find m in the proportion m/12 = 30/24.
A. 3
B. 15
C. 20
D. 25
87. In how many ways can a team of 10
basketball players be chosen from 12 players?
A. 62
B. 64
C. 66
D. 72
88. Find m in the proportion m/12 = 30/24.
A. 3
B. 15
C. 20
D. 25
93. The elevator can carry a maximum load of
605 kg. How many passengers of weight 50.5 kg
each can the elevator hold?
A. 12
B. 11.9
C. 11
D. 10
94. 4 1/5 + 3 2/7 = _____
A. 7 3/12
B. 7 3/35
C. 7 17/35
D. 7 1/35
95. For the fruit punch, 3050 mL of fruit juice is
needed. How much fruit juice is needed in
decaliters?
A. 0.305
B. 3.05
C. 5.03
D. 0.053
99. The smallest angle of a triangle is two-thirds
the size of the middle angle, and the middle angle
is three-sevenths of the largest angle. Find all
three angle measures.
A. 30°, 60°, 90°
B. 45°, 45°, 90°
C. 35°, 45°, 110°
D. 30°, 45°, 105°
103. To pass her English Test, Lucille must get
75% of the items correct. Out of 80 questions,
how many must she correctly answer?
A. 55
B. 60
C. 70
D. 65
105. The ratio of the number of red, green, and
blue balls in a box is 2:5:6. How many green balls
are there if there are 052 balls in all?
A. 4
B. 8
C. 20
D. 24
115. When two missing digits in a given number
are replaced, the number is divisible by 99. What
is the number?
A. 85021
B. 85031
C. 85041
D. 85051
128. A teacher wants to group her pupils into
groups of 3 or 5 or 6. However, she found out that
if she do that there will always be 1 pupil left.
What is the least possible number of pupils in the
class?
A. 81
B. 31
C. 21
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D. 11
140. One package is 100 pounds, and the other is
150 pounds. The weight of the second package is
how many times that of the first?
A. 1½ times heavier
B. ½ as heavy
C. none of these
D. 10 pounds heavier
143. In a university, the ratio of female professors
to the male professors is 8:5. If there are 75 male
professors, how many are female professors?
A. 120
B. 180
C. 225
D. 375/8
PART 2
20. If a die is rolled, what is the probability of
getting a number divisible by 2?
A. ½
B. 1/3
C. ¼
D. 1/6
21. How long will it take A and B together, to
finish a job which can be done by A alone in 6
days and B alone in 3 days?
A. 2 1/2 days
B. 3 days
C. 2 days
D. 3 ½ days
29. The fraction halfway between 3/7 and 4/7 is
________________.
A. 1/2
B. 1/3
C. ¼
D. 1/8
30. Simplify (3x 9) / (x
2
9)
A. 3 / (x 3)
B. 3 / (x + 1)
C. 3 / (x + 3)
D. 3 / (x 1)
38. The least common Multiple (LCM) of 2, 3 and
4 is ______.
A. 13
B. 24
C. 14
D. 12
39. Which of the following has the smallest mass
when measured in an equal arm balance?
A. ½ sheet of pad paper
B. ¼ sheet of pad paper
C. 1/8 sheet of pad paper
D. 1/3 sheet of pad paper
40. How many glasses of Cola each to be filled
with 150 cu cm of the liquid can be made from 5
family size bottles of cola each containing 1.5
liters?
A. 60
B. 40
C. 45
D. 50
41. If the average or arithmetic mean of x and -5
is 10, then what must be the value of x?
A. 25
B. 15
C. 30
D. 20
42. In an English test, eight students obtained the
following scores: 10, 15, 12, 18, 16, 24, 12, and
14. What is the median score?
A. 14
B. 15. 5
C. 14. 5
D. 15
PART 3
53. A student walks from home to school 3 blocks
away and then returns home for lunch. After
lunch, he goes back to school. His total
displacement is _______ .
a. 0 block
b. 3 block
c. 6 blocks
d. 9 blocks
60. What is the maximum number of electrons
that can be accommodated in n=4?
a. 2
b. 8
c. 16
d. 32
85. The ratio between the length and the breadth
of a rectangular park is 3:2. If a man cycling along
the boundary of the park at the speed of 12 km/hr
completes one round in 8 minutes, then the area
of the park (in sq. m) is:
a. 15360
b. 153600
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c. 30720
d. 307200
PART 4
101. If the probability that it will rain today is 5/8,
what is the probability that it will not?
a. 1/8
b. 3/8
c. 1/4
d. 100%
102. The degree of the term -4x
2
y, is _____.
a. 4th
b. 1st
c. 2nd
d. 3rd
103. If x is an odd integer and y is an even
integer, which of the following is an even integer?
a. 2x-y-1
b.x^2+y
c. x
2
+3y+1
d. 4x-1
105. The greatest common divisor (GCD) of 9, 39
and 78 is ______ .
a. 24
b. 13
c. 91
d. 39
106. The property of real numbers which
describes (5+6)-3 = -3 + (5+6) is _______.
a. Commulative
b. Associative
c. Distributive
d. Reflexive
107. Which is a proportion?
a. 5:4 = 15 : 12
b. 8:3 = 16 : 9
c. 4: 5 = 12 : 10
d. 1/2 : 7 = 5: 2
108. 1/8 in percent is ______ .
a. 10.5 %
b. 12.5 %
c. 14.5 %
d. 16.5 %
109. Simplify this equation ( 8/9 1/3) / (3/4-1/6 )
a. 21/20
b. 20/21
c. 19/20
d. 20/19
110. The least common multiple (LCM ) of 18 and
24 is ______ .
a. 6
b. 24
c. 36
d. 72
111. Solve for the value of x to make the
proportion x : 8 = 16 true.
a. 1
b. 2
c. 3
d. 4
112. What do you call a triangle with equal sides?
a. scalene
b. equilateral
c. isosceles
d. right
113. Which of the following numbers is prime?
a. 91
b. 121
c. 101
d. 119
114. In how many ways can a photographer
arrange 6 people in a row to pose for a
photograph?
a. 30
b. 600
c.120
d. 720
124. What is the units digits of the product of the
1 000 smallest prime numbers?
a. 0
b. 1
c. 2
d. 5
125. Find the largest prime divisor of (2^16-1).
a. 13
b. 17
c. 257
d. 65 535
128. How many significant figures are there in
120. 400?
a. 3
b. 4
c. 5
d. 6
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147. What is the smallest positive number that is
a multiple of both 15 and 18?
a. 90
b. 180
c. 75
d. 72
148. Simplify this (2^-1)(2^2)(2^0).
a. 1
b. 2
c. 4
d. 0
PART 5
22. Which expresses the polynomial in the
following?
a. 2x+4x-3
b. xy-x-6
c. x-x+9-3x+10x
d. x-4x+2x-x+2
23.The weather report a temperature of 29
o
C in
the morning and 35.5
0
C at two 0’oclock in the
afternoon. How many degrees higher was…
a. 5.8
0
C
b. 5.5
0
C
c. 6.5
0
C
d. 4.5
0
C
29. A swimming contest is held in a four-lane
swimming pool of 50 meter long. The contest is
for the 200 meter. How many times will each
swimmer run in this contest?
a. 10 times
b. 16 times
c. 5 times
d. 4 times
32. Only 682 examinees passed in a Nurse
Licensure Examination out of 2550 examinees.
What is the passing percentage?
a. 26%
b. 26.7%
c. 26.8%
d. 26.5%
36. A couple was just married when the groom is
three scores older the bride. How old is the bride
is she is one score younger?
a. 20 years
b. 40 years
c. 50 years
d. 30 years
48. Ang swimming pool is an equilateral triangle
in shape. One side is 11 meters. How many
meters are needed o enclose he pool?
a. 55 meters
b. 45 meters
c. 44 meters
d. 33 meters
49. Water is rationed in a village every other day.
The truck tanks deliver 8 tons of water to 10
houses. How many tons of water was delivered in
4 days o each house by the agent?
a. 3.2 tons
b. 320 tons
c. 40 tons
d. 80 tons
50. Mrs. Alice’s bathroom has to be covered with
tiles. The edge of the bathroom needs a rubberize
tile. If the tub is 2.3 meters long and 1.8 wide,
how many meters of rubberized tiles are
required?
a. 9.2 meters
b. 8.2 meters
c. 4.6 meters
d. 2.3 meters
51. An executive office has to be carpeted. The
area is 3m by 4m the carpet costs P1,000.00 per
square meter. How much will be spent for the
purchase of the carpet?
a. P120,000.00
b. P10,000.00
c. P12,000.00
d. P1,000.00
52. Write this ratio in its simplest form: 3 cm to 20
cm
a. 20.3
b. 20.30
c. 30.20
d. 3.20
71. Which of the following values is CLOSEST o
the square root of 4000?
a. 63
b. 200
c. 22
d. 19
72. The arithmetic mean of a set of 50 meters is
38. If two numbers 45 and 35 are discarded, the
mean of the remaining set of numbers is:
a. 37.24
b. 37.5
c. 37.0
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d. 36.5
73. If 5x>0 which of the following must be TRUE?
a. II only
b. II and III
c. I and II
d. I only
74. If P is a positive integer in the equation
12p=q, then q must be a:
a. Positive even integer
b. Negative even integer
c. Positive odd integer
d. Negative odd integer
81. What is the range of the following: 86, 70, 83,
90, 85, 78, 79, 81, 87.
a. 12
b. 15
c. 16
d. 20
83. Change the following percents o decimals:
23%, 5%, 3%, 3.5%.
a. 2.3, 500, .30, 30.5
b. .23, 0.05, .03, 0.035
c. .23, 05, .003, .035
d. .023, 5.00, 3.0, 03.5
84. If the scores of 10 students are: 76, 80, 75,
83, 80, 79, 85, 80, 88,, 90, the mode is
a. 79
b. 85
c. 80
d. 88
85. A vehicle consumes one liter of gasoline o
travel 10 kilometers. After a tune-up, I travels 15%
farther on one liter. To the nearest tenth, how
many liters of gasoline will it take for the vehicle o
travel 230 kilometers?
a. 23 liters
b. 20 liters
c. 23.15 liters
d. 20.15 liters
86. If each of the five members in a basketball
team shakes hands with every other member of
the team before the game starts, how many
handshakes will there be in all?
a. 8
b. 10
c. 6
d. 9
87. How many twenty thousand are there in one
million?
a. 500
b. 50
c. 100
d. 1000
88. What is 1/5 called a unit fraction?
a. The unit is less than one
b. The number 5 is the denominator
c. I is between 0 and 1, the basic unit
d. Unit fractions have 1 as the numerator
89. A rectangle has sides of 10 and 12 units. How
can the area of a square be computed if it has the
same perimeter as the rectangle?
a. Add 10 and 12, double the sum, divide by 4,
then multiply by 4
b. Add 10 and 12, double the sum, divide by 4,
then multiply by
c. Add 10 and 12, double the sum, divide by 4,
then square the quotient
d. Add 10 and 12, double the sum, the multiply by
4
127. Which of the following gives the sum of the
polynomials (a
2
+ b
2
+ ab) and (3a
2
+ 4ab 2b
2
)?
a. 4a
2
+b
2
+5ab
b. 5a
2
+5b
2
= 5ab
c. 3a
2
+5ab-2b
2
d. 4a
2
+5ab-b
2
128. Of 50 students enrolled in the subject.
Curriculum and Instruction 90% took the final
examination at the end of the term. Two-thirds of
those who took the final examination passed.
How many students passed the exam?
a. 33
b. 45
c. 34
d. 30
129. A cube is a rectangle solid, the length, width
and height of which have the same measure
called the edge (e) of the cube. The volume of the
cube is found by cubing the measure of the edge.
What is the volume of the cube whose edge is
4cm?
a. 27 cm
3
b. 64 cm
3
c. 206 cm
3
d. 125 cm
3
131.If function is defined by set of ordered -pair
(1,2), (2,4), (3,8), (4,16). (5,Y), then the value of Y
is. If n<m and a<b, then ____
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a. n + a > m + b
b. m = b
c. n = a
d. n + a < m + b
132. If the scores in a Mathematics test of 45
students are arranged from the highest to the
lowest, the 23rd score is the
a. mean
b. variance
c. median
d. mode
133. To find perimeter (P) of a rectangle that has
a length of 16 inches and width of 12 inches
which of the following equation can be used?
a. P = 2(16)(12)
b. P = (16) + (12)
c. P = 2(16) = (12)
d. P = 2(16+12)
134.What is the cube root of (32 x 3)?
a. 9
b. 3 x 3
c. 27
d. 3
135. A vehicle consumes one liter of gasoline to
travel 10 kilometers. After a tune-up, it travels
15% farther on one liter. To the nearest tenth,
how many gasoline will it take for the vehicle to
travel 230 kilometers?
a. 20.15 liters
b. 23 liters
c. 23.15 liters
d. 20 liters
136. Which of the following is the numerical form
for “twenty thousand twenty”?
a. 2,020
b. 2,000,020
c. 20,020
d. 20,00020
137. How many twenty thousand are there in one
million?
a. 100
b. 500
c. 50
d. 1000
PART 8
81. Give the value of N in 26 2/28 + 22 ½ =N
a. 48 2/3
b. 49 4/6
c. 48 1/3
d. 48 2/18
82. A playground occupied 1/5 of an empty field
for a basketball and baseball areas. The whole
land is 1.5 hectares. How many square meters
were left?
a. 12, 500
b. 11,000
c. 12,000
d. 13,000
83. A farmer owned 302 hectares. He planted
1/3 of the area to coconuts. The rest were
converted is 1.5 hectares. How many square
meters were left?
a. 12,500
b.11,000
c.12,000
d.13,000
84. There are two pieces of cloth with 8 4/10 and
25 2/5 meters in length. Give the total length of
the cloth.
a. 32 4/5 meters
b. 32 3/5 meters
c. 32 7/10 meters
d. 32 1/5 meters
85. What is the LCM of these set of number
(4,5,10)?
a. 4
b. 20
c. 10
d. 8
86. Give the product of 102 multiplied by .05
a. 5.11
b. 5.1
c. 510
d. 51
87. Give the LCM of these set of numbers
(24,12,16)?
a. 96
b. 384
c. 98
d. 192
88. There are 500 houses sold by a subdivision
owner. Each recipient occupied 80 square meters
each. How big was the whole area?
a. 4 ha
b. 14 ha
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c. 10 ha
d. 5 ha
89. Which of these numbers is divisible by 8?
a. 300
b. 900
c. 400
d. 9000
90. Mr. Rich has a total asset of P 3.1 billion. He
gave Jay P240 million, and Rico 1.2 billion. How
much will the only daughter receive?
a. 17 billion
b. 1,660 billion
c. 80 million
d. 1.7 billion
91. A father died leaving 56 hectares. He had five
children. What is the mother share when divided
by court?
a. 4.6 ha
b. 5.6 ha
c. 28 ha
d. 9.33 ha
92. Which I not the leap year in this set?
a. 2002
b. 2000
c. 2004
d. 2008
93. In Australia each flock has 40 heads. There
are total of 2,8000 heads. How many heads, how
many flocks will farm have?
a. 70
b. 100
c. 40
d. 60
94. Give the ration of the 18 officers to the 12
insurgents
a. 2:5
b. 3:5
c. 2:3
d. 3:2
95. Which of these are parts of equivalent ratios?
a. 16:28 and 36:63
b. 16:24 and 10:15
c. 27:45 and 48:72
d. 4:10 and 18:45
96. Which of these are parts of equivalent ratios?
a. 7
b. 8
c. 6
d. 9
97. Pedro sent P 48, 000 for 3 sides of his fence.
How much will the remaining fence cost? a. P
16,000
b. P22,000
c. P20,000
d. P15,000
98. Give the final percentage rate of commission
gained by Johnny. He sold an engine for P
258,000. His commission was P 37,520 minus P
5,300 for transportation?
a. 14.13%
b. 12.48%
c. 14.54%
d. 12.05%
99. The price of glassware was P 160.00 a set.
After a day a price was raised by 10%. What was
the final cost of the glassware?
a. P176.00
b. P196.00
c. P166.00
d. P276.00
100. If 47.5 % of the 1,000 freshmen are girls,
then the numbers of boys is
a. 50% greater than the girls
b. 875 all together
c. not ascertained from the given
d. 25% greater than girls
101. Write the ratio to the lowest term for 4 hours
to 30 minutes.
a. 30:4
b. 4:2
c. 2:30
d. 4:30
102. The youth considered 55% of the voting
population. Marikina has 1.360 million voters.
How many voters are the youth?
a. 768,000
b. 750,000
c. 788,000
d. 748,000
103. Cementing of roads are being done in some
areas. One barangay has 2 lanes with 7 by
200 meters long. What is the total area to be
cemented?
a. 9,000 sq. m
b. 14,000 sq. m
c. 1,500 sq. m
d. 1,800 sq m
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104. Pastor irrigated 2 hectares of his rice field.
But this is only 1/5 of the whole area. Give the
whole area of pastor’s land.
a. 10 ha
b. 20 ha
c. 24 ha
d. 11ha
105. What prize will each receive from a first prize
of P 45,000,000. There were 15 recipients of the
jackpot
a. P2,500,000.00
b. P3,000,000.00
c. P3,100,000.00
d. P45,000.00
106. Ms. Yan her new kitchen. The area is 3.5
meters by 2.8 meters, how many square meters
will be tiled?
a. 10.8 sq. m.
b. 108 sq. m.
c. 98 sq. m.
d. 9.8 sq. m.
107. What is the area of the wall that covered the
family in Marikina? After the recovery the men
found the height of the wall at 6 meters with a
width of 12 meters. Determine the area of the
fallen wall.
a. 102 sq. m
b. 72 sq m
c. 720 sq m
d. 92 sq m
108. How many feet of continuous paper will you
print an 81 paged report in duplicate. One page is
8 inches in length. How many feet would you
need of the continuous paper?
a. 142 ft
b. 172 ft
c. 152 ft
d. 162 ft
109. Ana is packing her things bought in
Singapore. She needs a box of good for 75 cubic
inches. Which could answer her need?
a. 4x4x4 inches
b. 3x6x7 inches
c. 3x6x5 inches
d. 3x5x5 inches
110. How many cubic meters of sand will be
required to fill a reclamation area of 6 hectares
with 1.5 meters depth?
a. 90,900 cubic meter
b. 90,000 cubic meter
c. 110,000 cubic meter
d. 100,000 cubic meter
111. A patient weighs 160 lbs. He needs
medicine of .03 cc a day. How many cc’s are
required for 6 days?
a. 26.8 cc
b. 25 cc
c. 26.4 cc
d. 28.8 cc
112. Cecil weighs 84 kilos. How will she weighs
in pound?
a. 184.4 lbs
b. 188.4 lbs
c. 189.5 lbs
d. 180.4 lbs
113. Rain fell on Sunday and the reading was
2.4cm. On Monday it read 5.2 cm. How much rain
fell on Monday night.
a. 3.8 cm
b. 4.5 cm
c. 2.8 cm
d. 4.8 cm
114. There are 3 layers of eggs sold at P 2.28
each. If a whole seller gets 5% discount, how
much will be paid for all?
a. P78.22
b. P77.98
c. P92.00
d. P82.08
115. Write in simple form (3ab)
2
.
a. 3a
3
b
3
b. 9a
2
b
2
c. 3a
2
b
d. 27a
2
b
116. Gloria deposited P 600 at 8% compounded
annually interest for 4 years. What is total
amount?
a. 2,162,93
b. 7,558.27
c. 1,558.27
d. 8,162.93
117. The volume of a larger rectangular box is 3
times the volume of a smaller rectangular box.
What is the volume of X?
a. 2
b. 5
c. 3
d. 4
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120. Solve for x = 6x-1 = 2x
a. 1
b. ½
c. 1/10
d. 1/2

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PART 1 10. Which statement is true? A. 5–√ is a rational number. B. b. 0 is a positive number C. 3–√ is a real number. D. 4–√ is an irrational number 11. If a die is rolled, what is the probability of getting a number divisible by 2? A. 1/6 B. 1/2 C. 1/4 D. 1/3 15. A wood frame for pouring concrete has an interior perimeter of 14 meters. Its length is one meter greater than its width. The frame is to be braced with twelve-gauge steel cross-wires. Assuming an extra half-meter of wire is used at either end of a cross-wire for anchoring, what length of wire should be cut for each brace? A. 6 m B. 7 m C. 8 m D. 12 m 23. What is the equation of the line whose slope is -2 and whose y-intercept is 3? A. 2x +3y =6 B. x +2y =3 C. 2x +2y =4 D. 2x +y =3 35. Given the following scores of 70, 95, 60, 80, and 100, what can you infer from the measures of variability that can be obtained from this? A. The population is very homogeneous. B. The measures are very unstable. C. The grades are very scattered. D. The range of scores is a very reliable measure of variability. 37. What is the measure of an interior angle of a regular dodecagon? A. 120 degrees B. 130 degrees C. 140 degrees D. 150 degrees 38. 1/5 of the width and 1/4 of the length of a rectangular cardboard is cut off. What part of the original cardboard is the area of the remaining piece? A. 30% of the original area B. 40% of the original area C. 50% of the original area D. 60% of the original area 49. If a baseball player hits 10 home runs in the first 45 games, at the same rate how many home runs can he expect to hit during the 162-game season? A. 38 B. 42 C. 36 D. 40 59. How many ways can a committee of 4 people be selected from a group of 7 people? A. 35 B. 70 C. 140 D. 210 60. A rectangle is 4 times a long as it is wide. If the length of the third side? A. 2 x 32 B. 4 x 16 C. 3 x 14 D. 5 x 12 68. If x = 1 and y = -2, what is the value of the expression, x22xy−4x+3xy2? A. -9/2 B. 15/2 C. -7/2 D. 17/4 69. Which among the following statements is always true? A. The supplement of an angle is acute. B. The complement of an angle is obtuse. C. The complement of any acute angle is acute. D. Two supplementary angles are congruent. 73. A square has an area of 400 sq. cm. What is its perimeter? A. 20 cm B. 80 cm C. 100 cm D. 40 cm 74. If 500 or 25% of a graduating class are girls, how many are graduating? A. 2000 B. 5000 C. 10000 D. 20000 79. How many prime numbers are there between 1 and 100? A. 23 B. 24 C. 25 D. 26 82. Mr. Lucido deposited 225 pesos in the bank. If his deposit consisted of 29 bills, consisting of 5 peso, and 10 peso bills, how many 10 peso bills did he deposit? A. 13 B. 14 C. 15 D. 16 85. If a picture frame is 27 cm long and 18 wide, what is the ratio of its length to its width? A. 3:2 B. 2:3 C. 3:5 D. 5:3 87. In how many ways can a team of 10 basketball players be chosen from 12 players? A. 62 B. 64 C. 66 D. 72 88. Find m in the proportion m/12 = 30/24. A. 3 B. 15 C. 20 D. 25 87. In how many ways can a team of 10 basketball players be chosen from 12 players? A. 62 B. 64 C. 66 D. 72 88. Find m in the proportion m/12 = 30/24. A. 3 B. 15 C. 20 D. 25 93. The elevator can carry a maximum load of 605 kg. How many passengers of weight 50.5 kg each can the elevator hold? A. 12 B. 11.9 C. 11 D. 10 94. 4 1/5 + 3 2/7 = _____ A. 7 3/12 B. 7 3/35 C. 7 17/35 D. 7 1/35 95. For the fruit punch, 3050 mL of fruit juice is needed. How much fruit juice is needed in decaliters? A. 0.305 B. 3.05 C. 5.03 D. 0.053 99. The smallest angle of a triangle is two-thirds the size of the middle angle, and the middle angle is three-sevenths of the largest angle. Find all three angle measures. A. 30°, 60°, 90° B. 45°, 45°, 90° C. 35°, 45°, 110° D. 30°, 45°, 105° 103. To pass her English Test, Lucille must get 75% of the items correct. Out of 80 questions, how many must she correctly answer? A. 55 B. 60 C. 70 D. 65 105. The ratio of the number of red, green, and blue balls in a box is 2:5:6. How many green balls are there if there are 052 balls in all? A. 4 B. 8 C. 20 D. 24 115. When two missing digits in a given number are replaced, the number is divisible by 99. What is the number? A. 85021 B. 85031 C. 85041 D. 85051 128. A teacher wants to group her pupils into groups of 3 or 5 or 6. However, she found out that if she do that there will always be 1 pupil left. What is the least possible number of pupils in the class? A. 81 B. 31 C. 21 D. 11 140. One package is 100 pounds, and the other is 150 pounds. The weight of the second package is how many times that of the first? A. 1½ times heavier B. ½ as heavy C. none of these D. 10 pounds heavier 143. In a university, the ratio of female professors to the male professors is 8:5. If there are 75 male professors, how many are female professors? A. 120 B. 180 C. 225 D. 375/8 PART 2 20. If a die is rolled, what is the probability of getting a number divisible by 2? A. ½ B. 1/3 C. ¼ D. 1/6 21. How long will it take A and B together, to finish a job which can be done by A alone in 6 days and B alone in 3 days? A. 2 1/2 days B. 3 days C. 2 days D. 3 ½ days 29. The fraction halfway between 3/7 and 4/7 is ________________. A. 1/2 B. 1/3 C. ¼ D. 1/8 30. Simplify (3x – 9) / (x2 – 9) A. 3 / (x – 3) B. 3 / (x + 1) C. 3 / (x + 3) D. 3 / (x – 1) 38. The least common Multiple (LCM) of 2, 3 and 4 is ______. A. 13 B. 24 C. 14 D. 12 39. Which of the following has the smallest mass when measured in an equal arm balance? A. ½ sheet of pad paper B. ¼ sheet of pad paper C. 1/8 sheet of pad paper D. 1/3 sheet of pad paper 40. How many glasses of Cola each to be filled with 150 cu cm of the liquid can be made from 5 family size bottles of cola each containing 1.5 liters? A. 60 B. 40 C. 45 D. 50 41. If the average or arithmetic mean of x and -5 is 10, then what must be the value of x? A. 25 B. 15 C. 30 D. 20 42. In an English test, eight students obtained the following scores: 10, 15, 12, 18, 16, 24, 12, and 14. What is the median score? A. 14 B. 15. 5 C. 14. 5 D. 15 PART 3 53. A student walks from home to school 3 blocks away and then returns home for lunch. After lunch, he goes back to school. His total displacement is _______ . a. 0 block b. 3 block c. 6 blocks d. 9 blocks 60. What is the maximum number of electrons that can be accommodated in n=4? a. 2 b. 8 c. 16 d. 32 85. The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is: a. 15360 b. 153600 c. 30720 d. 307200 PART 4 101. If the probability that it will rain today is 5/8, what is the probability that it will not? a. 1/8 b. 3/8 c. 1/4 d. 100% 102. The degree of the term -4x2y, is _____. a. 4th b. 1st c. 2nd d. 3rd 103. If x is an odd integer and y is an even integer, which of the following is an even integer? a. 2x-y-1 b.x^2+y c. x2+3y+1 d. 4x-1 105. The greatest common divisor (GCD) of 9, 39 and 78 is ______ . a. 24 b. 13 c. 91 d. 39 106. The property of real numbers which describes (5+6)-3 = -3 + (5+6) is _______. a. Commulative b. Associative c. Distributive d. Reflexive 107. Which is a proportion? a. 5:4 = 15 : 12 b. 8:3 = 16 : 9 c. 4: 5 = 12 : 10 d. 1/2 : 7 = 5: 2 108. 1/8 in percent is ______ . a. 10.5 % b. 12.5 % c. 14.5 % d. 16.5 % 109. Simplify this equation ( 8/9 – 1/3) / (3/4-1/6 ) a. 21/20 b. 20/21 c. 19/20 d. 20/19 110. The least common multiple (LCM ) of 18 and 24 is ______ . a. 6 b. 24 c. 36 d. 72 111. Solve for the value of x to make the proportion x : 8 = 16 true. a. 1 b. 2 c. 3 d. 4 112. What do you call a triangle with equal sides? a. scalene b. equilateral c. isosceles d. right 113. Which of the following numbers is prime? a. 91 b. 121 c. 101 d. 119 114. In how many ways can a photographer arrange 6 people in a row to pose for a photograph? a. 30 b. 600 c.120 d. 720 124. What is the units digits of the product of the 1 000 smallest prime numbers? a. 0 b. 1 c. 2 d. 5 125. Find the largest prime divisor of (2^16-1). a. 13 b. 17 c. 257 d. 65 535 128. How many significant figures are there in 120. 400? a. 3 b. 4 c. 5 d. 6 147. What is the smallest positive number that is a multiple of both 15 and 18? a. 90 b. 180 c. 75 d. 72 148. Simplify this (2^-1)(2^2)(2^0). a. 1 b. 2 c. 4 d. 0 PART 5 22. Which expresses the polynomial in the following? a. 2x+4x-3 b. xy-x-6 c. x-x+9-3x+10x d. x-4x+2x-x+2 23.The weather report a temperature of 29oC in the morning and 35.50C at two 0’oclock in the afternoon. How many degrees higher was… a. 5.80C b. 5.50C c. 6.50C d. 4.50C 29. A swimming contest is held in a four-lane swimming pool of 50 meter long. The contest is for the 200 meter. How many times will each swimmer run in this contest? a. 10 times b. 16 times c. 5 times d. 4 times 32. Only 682 examinees passed in a Nurse Licensure Examination out of 2550 examinees. What is the passing percentage? a. 26% b. 26.7% c. 26.8% d. 26.5% 36. A couple was just married when the groom is three scores older the bride. How old is the bride is she is one score younger? a. 20 years b. 40 years c. 50 years d. 30 years 48. Ang swimming pool is an equilateral triangle in shape. One side is 11 meters. How many meters are needed o enclose he pool? a. 55 meters b. 45 meters c. 44 meters d. 33 meters 49. Water is rationed in a village every other day. The truck tanks deliver 8 tons of water to 10 houses. How many tons of water was delivered in 4 days o each house by the agent? a. 3.2 tons b. 320 tons c. 40 tons d. 80 tons 50. Mrs. Alice’s bathroom has to be covered with tiles. The edge of the bathroom needs a rubberize tile. If the tub is 2.3 meters long and 1.8 wide, how many meters of rubberized tiles are required? a. 9.2 meters b. 8.2 meters c. 4.6 meters d. 2.3 meters 51. An executive office has to be carpeted. The area is 3m by 4m the carpet costs P1,000.00 per square meter. How much will be spent for the purchase of the carpet? a. P120,000.00 b. P10,000.00 c. P12,000.00 d. P1,000.00 52. Write this ratio in its simplest form: 3 cm to 20 cm a. 20.3 b. 20.30 c. 30.20 d. 3.20 71. Which of the following values is CLOSEST o the square root of 4000? a. 63 b. 200 c. 22 d. 19 72. The arithmetic mean of a set of 50 meters is 38. If two numbers 45 and 35 are discarded, the mean of the remaining set of numbers is: a. 37.24 b. 37.5 c. 37.0 d. 36.5 73. If 5x>0 which of the following must be TRUE? a. II only b. II and III c. I and II d. I only 74. If P is a positive integer in the equation 12p=q, then q must be a: a. Positive even integer b. Negative even integer c. Positive odd integer d. Negative odd integer 81. What is the range of the following: 86, 70, 83, 90, 85, 78, 79, 81, 87. a. 12 b. 15 c. 16 d. 20 83. Change the following percents o decimals: 23%, 5%, 3%, 3.5%. a. 2.3, 500, .30, 30.5 b. .23, 0.05, .03, 0.035 c. .23, 05, .003, .035 d. .023, 5.00, 3.0, 03.5 84. If the scores of 10 students are: 76, 80, 75, 83, 80, 79, 85, 80, 88,, 90, the mode is a. 79 b. 85 c. 80 d. 88 85. A vehicle consumes one liter of gasoline o travel 10 kilometers. After a tune-up, I travels 15% farther on one liter. To the nearest tenth, how many liters of gasoline will it take for the vehicle o travel 230 kilometers? a. 23 liters b. 20 liters c. 23.15 liters d. 20.15 liters 86. If each of the five members in a basketball team shakes hands with every other member of the team before the game starts, how many handshakes will there be in all? a. 8 b. 10 c. 6 d. 9 87. How many twenty thousand are there in one million? a. 500 b. 50 c. 100 d. 1000 88. What is 1/5 called a unit fraction? a. The unit is less than one b. The number 5 is the denominator c. I is between 0 and 1, the basic unit d. Unit fractions have 1 as the numerator 89. A rectangle has sides of 10 and 12 units. How can the area of a square be computed if it has the same perimeter as the rectangle? a. Add 10 and 12, double the sum, divide by 4, then multiply by 4 b. Add 10 and 12, double the sum, divide by 4, then multiply by c. Add 10 and 12, double the sum, divide by 4, then square the quotient d. Add 10 and 12, double the sum, the multiply by 4 127. Which of the following gives the sum of the polynomials (a2 + b2 + ab) and (3a2 + 4ab – 2b2)? a. 4a2+b2+5ab b. 5a2+5b2 = 5ab c. 3a2+5ab-2b2 d. 4a2+5ab-b2 128. Of 50 students enrolled in the subject. Curriculum and Instruction 90% took the final examination at the end of the term. Two-thirds of those who took the final examination passed. How many students passed the exam? a. 33 b. 45 c. 34 d. 30 129. A cube is a rectangle solid, the length, width and height of which have the same measure called the edge (e) of the cube. The volume of the cube is found by cubing the measure of the edge. What is the volume of the cube whose edge is 4cm? a. 27 cm3 b. 64 cm3 c. 206 cm3 d. 125 cm3 131.If function is defined by set of ordered -pair (1,2), (2,4), (3,8), (4,16). (5,Y), then the value of Y is. If n m + b b. m = b c. n = a d. n + a < m + b 132. If the scores in a Mathematics test of 45 students are arranged from the highest to the lowest, the 23rd score is the – a. mean b. variance c. median d. mode 133. To find perimeter (P) of a rectangle that has a length of 16 inches and width of 12 inches which of the following equation can be used? a. P = 2(16)(12) b. P = (16) + (12) c. P = 2(16) = (12) d. P = 2(16+12) 134.What is the cube root of (32 x 3)? a. 9 b. 3 x 3 c. 27 d. 3 135. A vehicle consumes one liter of gasoline to travel 10 kilometers. After a tune-up, it travels 15% farther on one liter. To the nearest tenth, how many gasoline will it take for the vehicle to travel 230 kilometers? a. 20.15 liters b. 23 liters c. 23.15 liters d. 20 liters c. 48 1/3 d. 48 2/18 82. A playground occupied 1/5 of an empty field for a basketball and baseball areas. The whole land is 1.5 hectares. How many square meters were left? a. 12, 500 b. 11,000 c. 12,000 d. 13,000 83. A farmer owned 302 hectares. He planted 1/3 of the area to coconuts. The rest were converted is 1.5 hectares. How many square meters were left? a. 12,500 b.11,000 c.12,000 d.13,000 84. There are two pieces of cloth with 8 4/10 and 25 2/5 meters in length. Give the total length of the cloth. a. 32 4/5 meters b. 32 3/5 meters c. 32 7/10 meters d. 32 1/5 meters 85. What is the LCM of these set of number (4,5,10)? a. 4 b. 20 c. 10 d. 8 136. Which of the following is the numerical form for “twenty thousand twenty”? a. 2,020 b. 2,000,020 c. 20,020 d. 20,00020 86. Give the product of 102 multiplied by .05 a. 5.11 b. 5.1 c. 510 d. 51 137. How many twenty thousand are there in one million? a. 100 b. 500 c. 50 d. 1000 87. Give the LCM of these set of numbers (24,12,16)? a. 96 b. 384 c. 98 d. 192 PART 8 88. There are 500 houses sold by a subdivision owner. Each recipient occupied 80 square meters each. How big was the whole area? a. 4 ha b. 14 ha 81. Give the value of N in 26 2/28 + 22 ½ =N a. –48 2/3 b. 49 4/6 c. 10 ha d. 5 ha 89. Which of these numbers is divisible by 8? a. 300 b. 900 c. 400 d. 9000 90. Mr. Rich has a total asset of P 3.1 billion. He gave Jay P240 million, and Rico 1.2 billion. How much will the only daughter receive? a. 17 billion b. 1,660 billion c. 80 million d. 1.7 billion 91. A father died leaving 56 hectares. He had five children. What is the mother share when divided by court? a. 4.6 ha b. 5.6 ha c. 28 ha d. 9.33 ha 92. Which I not the leap year in this set? a. 2002 b. 2000 c. 2004 d. 2008 93. In Australia each flock has 40 heads. There are total of 2,8000 heads. How many heads, how many flocks will farm have? a. 70 b. 100 c. 40 d. 60 94. Give the ration of the 18 officers to the 12 insurgents a. 2:5 b. 3:5 c. 2:3 d. 3:2 95. Which of these are parts of equivalent ratios? a. 16:28 and 36:63 b. 16:24 and 10:15 c. 27:45 and 48:72 d. 4:10 and 18:45 96. Which of these are parts of equivalent ratios? a. 7 b. 8 c. 6 d. 9 97. Pedro sent P 48, 000 for 3 sides of his fence. How much will the remaining fence cost? a. P 16,000 b. P22,000 c. P20,000 d. P15,000 98. Give the final percentage rate of commission gained by Johnny. He sold an engine for P 258,000. His commission was P 37,520 minus P 5,300 for transportation? a. 14.13% b. 12.48% c. 14.54% d. 12.05% 99. The price of glassware was P 160.00 a set. After a day a price was raised by 10%. What was the final cost of the glassware? a. P176.00 b. P196.00 c. P166.00 d. P276.00 100. If 47.5 % of the 1,000 freshmen are girls, then the numbers of boys is a. 50% greater than the girls b. 875 all together c. not ascertained from the given d. 25% greater than girls 101. Write the ratio to the lowest term for 4 hours to 30 minutes. a. 30:4 b. 4:2 c. 2:30 d. 4:30 102. The youth considered 55% of the voting population. Marikina has 1.360 million voters. How many voters are the youth? a. 768,000 b. 750,000 c. 788,000 d. 748,000 103. Cementing of roads are being done in some areas. One barangay has 2 lanes with 7 by 200 meters long. What is the total area to be cemented? a. 9,000 sq. m b. 14,000 sq. m c. 1,500 sq. m d. 1,800 sq m 104. Pastor irrigated 2 hectares of his rice field. But this is only 1/5 of the whole area. Give the whole area of pastor’s land. a. 10 ha b. 20 ha c. 24 ha d. 11ha 105. What prize will each receive from a first prize of P 45,000,000. There were 15 recipients of the jackpot a. P2,500,000.00 b. P3,000,000.00 c. P3,100,000.00 d. P45,000.00 106. Ms. Yan her new kitchen. The area is 3.5 meters by 2.8 meters, how many square meters will be tiled? a. 10.8 sq. m. b. 108 sq. m. c. 98 sq. m. d. 9.8 sq. m. 107. What is the area of the wall that covered the family in Marikina? After the recovery the men found the height of the wall at 6 meters with a width of 12 meters. Determine the area of the fallen wall. a. 102 sq. m b. 72 sq m c. 720 sq m d. 92 sq m 108. How many feet of continuous paper will you print an 81 paged report in duplicate. One page is 8 inches in length. How many feet would you need of the continuous paper? a. 142 ft b. 172 ft c. 152 ft d. 162 ft 109. Ana is packing her things bought in Singapore. She needs a box of good for 75 cubic inches. Which could answer her need? a. 4x4x4 inches b. 3x6x7 inches c. 3x6x5 inches d. 3x5x5 inches 110. How many cubic meters of sand will be required to fill a reclamation area of 6 hectares with 1.5 meters depth? a. 90,900 cubic meter b. 90,000 cubic meter c. 110,000 cubic meter d. 100,000 cubic meter 111. A patient weighs 160 lbs. He needs medicine of .03 cc a day. How many cc’s are required for 6 days? a. 26.8 cc b. 25 cc c. 26.4 cc d. 28.8 cc 112. Cecil weighs 84 kilos. How will she weighs in pound? a. 184.4 lbs b. 188.4 lbs c. 189.5 lbs d. 180.4 lbs 113. Rain fell on Sunday and the reading was 2.4cm. On Monday it read 5.2 cm. How much rain fell on Monday night. a. 3.8 cm b. 4.5 cm c. 2.8 cm d. 4.8 cm 114. There are 3 layers of eggs sold at P 2.28 each. If a whole seller gets 5% discount, how much will be paid for all? a. P78.22 b. P77.98 c. P92.00 d. P82.08 115. Write in simple form (3ab)2. a. 3a3b3 b. 9a2b2 c. 3a2b d. 27a2b 116. Gloria deposited P 600 at 8% compounded annually interest for 4 years. What is total amount? a. 2,162,93 b. 7,558.27 c. 1,558.27 d. 8,162.93 117. The volume of a larger rectangular box is 3 times the volume of a smaller rectangular box. What is the volume of X? a. 2 b. 5 c. 3 d. 4 120. Solve for x = 6x-1 = 2x a. 1 b. ½ c. –1/10 d. –1/2 Name: Description: ...
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