LS 3 Math Flashcards

1
Q

What kind of angle is formed if the clock shows 3:50?
(A) Acute angle
(B) Reflex angle
(C) Right angle
(D) Obtuse angle

A

(B) Reflex angle

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2
Q

If the amount of rainfall is inversely related to the average temperature of a place, in which city above would rain be the heaviest?
(A) Cebu City
(B) Davao City
(C) Manila City
(D) Tagaytay City

A

(D) Tagaytay City

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3
Q

Mang Ben applied for a loan in a multi-purpose cooperative, with 6% interest per annum and payable within a year. He agreed to pay a monthly amortization every 10th of the month. If Mang Ben failed to pay his monthly amortization, which of the following will possibly happen?
(A) Mang Ben will be charged a penalty.
(B) Mang Ben will be awarded as a good payor.
(C) Mang Ben will apply for another loan from other cooperatives.
(D) None of the above

A

(A) Mang Ben will be charged a penalty.

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3
Q

Which values of x will satisfy the absolute value equation x-6 = 4
(A) 10, 2
(B) 12, 4
(C) 14, 6
(D) 16, 8

A

(A) 10, 2

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4
Q

A group of 1500 ALS completers needs to be surveyed to find out which academic track they would like to take in senior high school. For this survey, a 0.05 margin of error was considered for accuracy. Using Slovin’s Formula, which of the following is the correct sample survey size?
(A) 313
(B) 314
(C) 315
(D) 316

A

(B) 314

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4
Q

The time to complete a project varies inversely with the number of employees. If three employees can complete the project in eight days, how long will it take for two employees to finish the project?
(A) 8 days
(B) 10 days
(C) 12 days
(D) 14 days

A

(C) 12 days

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5
Q

Based on the right triangle above, with X, Y, and Z as measures of the three sides, respectively, which of the statements describes the relationship among the sides?
(A) The sum of the squares of X and Y is equal to the square of Z.
(B) The sum of the squares of X and Z is equal to the square of Y.
(C) The sum of the squares of X and Z is less than the square of Y.
(D) The sum of the squares of X and Y is greater than the square of Z.

A

(A) The sum of the squares of X and Y is equal to the square of Z.

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5
Q

I. y = 2x + 5
II. y = 2x – 5
III. y = 2x + 3

Which of the following are equations of lines that are parallel to each other?
(A) I and II only
(B) I and III only
(C) II and III only
(D) I, II and III

A

(B) I and III only

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6
Q

Which of the following functions has a graph of parallel lines?
(A) g(x) = ½x-4 and h(x) = -2x + 2
(B) f(x) = 3x + 3 and j(x) = 3x-6
(C) g(x) = ½x-4 and f(x) = 2x + 3
(D) j(x) = 2x-6 and h(x) = - 2x + 2

A

(B) f(x) = 3x + 3 and j(x) = 3x - 6

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6
Q

The weekly pocket expenses of 15 students in Mathematics are Php 37, Php 36, Php 39, Php 40, Php 26, Php 21, Php 25, Php 40, Php 25, Php 21, Php 28, Php 21, Php 27, Php 35 and Php 30, respectively. Which of the following frequency distribution tables shows the correct presentation of data, if the class interval is 5?

A
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6
Q

Which of the following is the correct order of steps in graphing the linear function that passes through the point (2,1) and with a slope of ?
I. Connect the two points.
II. Draw a Cartesian plane.
III. Locate the given point (2,1)
IV. Move 3 units going upward, and two units going to the right to locate the second point.
(A) I. II, III, IV
(B) II, III, IV, I
(C) III, II, IV, I
(D) IV, I, III, I

A

(B) II, III, IV, I

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7
Q

A 6-foot-tall pine tree in the park is planted 15 feet from a lighted streetlight whose lamp is 18 feet above the ground. Which of the following representations suits the problem?
A.
B.
C.
D.

A
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8
Q

The table above shows the lumber needed by Mang Lito. Using the formula, T x W x L ÷ 12, where T is thickness, W is width and L is length, which size of lumber has the highest number of board feet needed by Mang Lito?
(A) 1” x 2” x 8”
(B) 2” x 2” x 24”
(C) 2” x 4” x 16”
(D) 4” x 4” x 14”

A
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9
Q

A survey has been conducted on the preference of 200 women for healthy drink. The results of the survey were the following:
* 100 preferred water infused with lemon.
* 90 preferred water infused with cucumber.
* 60 preferred water infused with lemon and cucumber.
Based on the data given above, how many respondents preferred either lemon or cucumber?
(A) 70
(B) 75
(C) 80
(D) 85

A
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10
Q

If Sally is going to construct a triangle, what tool will she used to measure the length of a side?
(A) ruler
(B) pencil
(C) compass
(D) protractor

A
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11
Q

The monthly income of the Fajardo family is budgeted as follows:
* 30% for food
* 25% for utilities
* 20% for education
* 10% for incidental expenses
* 10% for gasoline
* 5% for savings
Which of the following graphs will clearly illustrate their budget?
(A) bar graph
(B) circle graph
(C) line graph
(D) trigonometric graph

A
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12
Q

Kiko wanted to be at least 69 inches tall in height. At present, he is 56 inches tall in height. Which of the following mathematical statements represents the given situation?
(A) 56 + x ≥ 69 : x ≥ 13
(B) 56 – x ≤ 69 : x ≤ 13
(C) 69 + x < 56 : x > 13
(D) 69 – x > 56 : x < 13

A
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13
Q

Maria is an accountant of ABC Company. She will present the expenses of the company to the board of directors. Which kind of graph should be used by Maria to describe the data above?
(A) bar graph
(B) line graph
(C) pie graph
(D) trigonometric graph

A
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14
Q

Which of the following statements correctly describe a population and a sample?
I. A population is a group of persons or things that will be studied.
II. A sample is a part of the population.
III. A population is a part of the sample.
IV. A sample is larger than the population to be studied.
(A) I and II only
(B) I and IV only
(C) II and III only
(D) III and IV only

A
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15
Q

Aljon, who is 6 feet tall, stands on top of his office building and sights a house in an adjacent village. He observes that the angle of depression from the top of the building to the house is 12 degrees. The building is 60 meters high, and the house is 20 feet high.
How far is the house from the building?
(1 foot = 0.3048 meter, tan 12 degrees = 0.2125)
(A) 152 m
(B) 185 m
(C) 262 m
(D) 335 m

A
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16
Q

Based on the description above, which information is relevant for obtaining the distance from the house to the building?
(A) Height of Aljon
(B) Height of the house
(C) Height of the building
(D) Distance from the village

A
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17
Q

Ana enrolled in a Zumba fitness class. She noticed that when she danced, the number of calories C burned is a function of time t (in minutes) as indicated above. If she dances for 15 minutes, how many calories will she burn?
(A) 70
(B) 75
(C) 80
(D) 85

A
17
Q

After 20 minutes of Zumba, Ana lost 100 calories. Her tennis instructor said Ana needs to shed a total of 200 calories to maintain fitness. How many more minutes will she need to do the Zumba?
(A) 10
(B) 20
(C) 40
(D) 100

A
18
Q

x – 2y = -5
2x – 4y = -10

Which of the following lines will be shown in the graph of the system of linear equations above?
(A) Parallel lines
(B) Coincident lines
(C) Intersecting lines in the third quadrant
(D) Intersecting lines in the second quadrant

A
19
Q

Which of the following systems of linear equations is consistent and dependent?
(A) x – y = 5
2x – 2y = 10
(B) 2x + y = 7
-x + y = 1
(C) 3x + y = -6
3x + y = 10
(D) x + y = 4
x – y = 10

A
20
Q

Which of the following polynomials satisfies the given conditions?
I. It consists of variables and coefficients.
II. It involves the four fundamental operations.
III. The exponents of variables are non-negative.
(A) 4x100 + 6x6 + 3x4 + 8
(B) 2x2 + x-5 – 3x4 + x-3 + 3
(C) √x4 + 2x3 + 4
(D) x2 – 3
x3 + 4x2(x + 4)

A
21
Q

Which of the given statements is true about the operations involving signed numbers?
(A) The sum of two positive numbers is a negative number.
(B) The product of two negative numbers is a positive number.
(C) The product of two positive numbers is a negative number.
(D) The quotient of a negative number and a positive number is positive.

A
22
Q

Which of the following statements is NOT true about real numbers?
(A) π is an irrational number.
(B) 3.87655 is a rational number.
(C) All integers are rational numbers.
(D) All repeating decimals are irrational numbers

A
23
Q

Joven’s car tire exploded in his garage one afternoon. He knew the tire’s pressure limit is 60 psi, but it had only a reading of 35 psi that morning, when the temperature was 20°C. If the tire pressure varies directly with its temperature, how hot did the tire get before it exploded?
(A) 11.7°C
(B) 34.3°C
(C) 60°C
(D) 105°C

A
24
Q

Which of the following is NOT a common algebraic method in solving linear equations in two variables?
(A) Cross Multiplication Method
(B) Elimination Method
(C) Graphical Method
(D) Substitution Method

A
25
Q

Which of the following mathematical statements is correct?
(A) (x3 + 2) (x – 2) = x4 – 2x3 + 2x – 4
(B) (x3 – 2) (x – 2) = x4 – 2x3 + 2x + 4
(C) (3x2 + 2) (2x + 4) = 6x3 – 12x2 – 4x – 8
(D) (3x2 – 2) (2x + 4) = 6x3 + 12x + 4x + 8

A
26
Q

Mario (M) is 2 years older than Bryan (B). Bryan is 3 years older than Nico (N). The sum of their ages is 35. To obtain the present age of Mario, Bryan and Nico, which of the following will be the correct mathematical sentence to use?
(A) (2B) + (3N) + N = 35
(B) (N + 2) + (B + 3) + M = 35
(C) (B + 2) + (N + 3) + N = 35
(D) (B + 2 + 35) + (N + 3 + 35) = 35

A
27
Q

The King, Queen, and Jack of diamonds are removed from the deck of 52 playing cards. A card is drawn from the remaining cards after shuffling them. What is the probability of getting a diamond?
(A) Three (3) out of 49
(B) Three (3) out of 52
(C) Ten (10) out of 49
(D) Ten (10) out of 52

A
28
Q

John will construct a garden plot with equivalent triangles. Which of the following should be considered in order to construct the garden plot?
(A) the measure of one side
(B) the measures of two sides
(C) the measures of two angles and a side
(D) the measures of two sides and an angle

A
29
Q

Based on the summary of profit and loss statement, if the net earnings in 3 consecutive months will be the same. How much will be the net earnings for that quarter?
(A) The net earnings for the quarter is php 200,000.
(B) The net earnings for the quarter is php 600,000.
(C) The net earnings for the quarter is php 400,000.
(D) The net earnings for the quarter is php 300,000.

A
30
Q

If the cost of goods sold is Php 625,000, what will be the effect on the gross profit?
(A) The gross profit will be the same.
(B) The gross profit will not be affected.
(C) The gross profit will be php 25,000.
(D) The gross profit will be –php 25,000.

A
31
Q

If the net earnings of January, 2024 is Php 50,000, which of the following statements is true?
(A) The net earnings for January decreased by php 150,000.
(B) The net earnings for January increased by php 150,000.
(C) The net earnings for February decreased by php 150,000.
(D) The net earnings for February increased by php 150,000.

A
31
Q

An ALS teacher calculated Body Mass Index (BMI) for a group of ALS Learners and created the grouped frequency distribution above. What would be the midpoint of the lowest interval?
(A) 52.5
(B) 47.5
(C) 42.5
(D) 37.5

A
32
Q

What are the 3 geometric means between 8 and 128? { an = a1 rn-1}
(A) 16, 32, 64
(B) 24, 48, 72
(C) 40, 64, 80
(D) 40, 80, 120

A
33
Q

The table above shows the volume of paint needed to be purchased by the painters. Who among the painters will purchase the most? (1 gallon = 3.785 liters)
(A) David
(B) Diego
(C) Rona
(D) Jasmine

A
34
Q

Using the figure above, which of the following mathematical statements is correct?
(A) Line m and line n are not parallel.
(B) Angle c and angle e are acute angles.
(C) Angle b and angle d are not equal in measure.
(D) Line t is a transversal crossing both line m and line n.

A
35
Q

Which of the following numbers represents the arrow in the given line?
(A) Irrational number
(B) Natural number
(C) Rational number
(D) Whole number

A
35
Q

Based on the illustrations above, which of the following statements is considered true?
(A) XZ is equal to DE.
(B) VY is parallel to XZ.
(C) VY and BE are diameters.
(D) XZ and DE are both radii.

A
36
Q

Based on the rules on exponents above, which of the following mathematical equations is correct?
(A) (m3) (m2) = m2
m3
(B) m2 = m5
(C) (m3) (m2)= m5
(D) (m3) 2 = m5

A
37
Q

Which of the following operations is applied in the given mathematical statement below?

A
38
Q

Which of the following operations is applied in the given mathematical statement below?
14a5c8 7a3c-2
= 2 a2c10
(A) Addition of exponents
(B) Subtraction of exponents
(C) Multiplication of exponents
(D) Division of exponents

A
39
Q

Which of the given measures is the equivalent of the volume of the figure above?
(1 inch3 = 16.39 cm3)
(A) 73.84 cm3
(B) 88.26 cm3
(C) 98.34 cm3
(D) 103.36 cm3

A
40
Q

Which of the following is described as its distance from zero to any point along the real number line?
(A) absolute value
(B) negative value
(C) natural number
(D) rational number

A
41
Q

Which of the following are the factors of x4 + 4x2 + 3?
(A) (x + 1) (3x + 1)
(B) (x2 – 1) (x + 3)
(C) (x2 + 3) (x2 + 1)
(D) (x2 – 3) (x2 – 3)

A
42
Q

x2 + 4x - 12 = 0

The equation above can be solved by using the method of completing the square. What is another way to find the roots of the equation?
(A) Factoring
(B) Substitution
(C) Getting the difference of two squares
(D) Getting the sum and the difference of two terms

A
42
Q

What type of variation is illustrated in the table above?
(A) combined
(B) direct
(C) inverse
(D) joint

A
43
Q

In how many ways can the letters of the word above be arranged, when no letter is repeated?
(A) 120
(B) 140
(C) 150
(D) 160

A
44
Q

Which of the following statements describe the figure above?
I. All outer sides are congruent.
II. The diagonals are perpendicular to each other.
III. All angles are obtuse.
IV. The diagonal divides it into two congruent triangles.
(A) I, II, and III only
(B) I, II, and IV only
(C) I, III, and IV only
(D) II, III, and IV only

A
45
Q

Triangle ABC is isosceles where the length of line AB is equal to the length of line AC. The measure of angle A is 40o and points B, C, and D are collinear. Which of the following Illustrations correctly represents the triangle?

A