Mathematics Flashcards
- Which of the factors below is the prime factor of 90?
A. 9⋅5
B. 3⋅3⋅5
C. 3⋅5⋅2
D. 3⋅3⋅5⋅2
D. 3⋅3⋅5⋅2
- Which of the following numbers below is a prime number?
A. 3
B. 6
C. 9
D. 12
A. 3
- What is the largest prime number less than 100?
A. 96
B. 97
C. 98
D. 99
B. 97
- Which of the following factors is the prime factor of 70?
A. 7⋅10
B. 7⋅1⋅10
C. 5⋅3⋅2⋅2
D. 7⋅5⋅2
D. 7⋅5⋅2
- What is the greatest common factor (GCF) of the numbers 27 and 18?
A. 9
B. 45
C. 27
D. 135
A. 9
- What is the greatest common divisor (GCD) of the numbers 60 and 80?
A. 40
B. 10
C. 20
D. 130
C. 20
- Find the least common multiple (LCM) of the numbers 27 and 18.
A. 81
B. 27
C. 54
D. 45
C. 54
- Find the least common denominator (LCD) of the numbers 60 and 80.
A. 160
B. 420
C. 240
D. 320
C. 240
- What is the value of 80% in decimal?
A. 0.080
B. 0.8
C. 80.0
D. 0.008
B. 0.8
- What is the equivalent value of 3.63 in percent?
A. 363%
B. 0.363%
C. 3630%
D. 0.0363%
A. 363%
- What is the equivalent fraction of the decimal 0.75?
A. 2/29
B. 29/40
C. 30/40
D. 29/30
C. 30/40
- 33% of what number is 84.
A. 253.55
B. 254.55
C. 255.55
D. 256.55
B. 254.55
- What is the value of the polynomial 10^2 - 2x^2 - 11x if x =-2
A. -146
B. 174
C. 190
D. 146
B. 174
- Which of the following algebraic expressions results in an even number if n^2 = 3?
A. n^2 + n + 1
B. 3n^2 + 2n
C. 2n^2 + 2n
D. n^2 + 4n
A. n^2 + n + 1
- Simplify 5 + {(8 x 2)(3 - 5) + 7} - 10
A. 40
B. -35
C. -10
D. -30
D. -30
- Find the value of the unknown variable n given the proportion 115: n= 5:10
A. 230
B. 200
C. 575
D. 250
A. 230
- A Toyota Hilux can carry a maximum load of 700 kg. How many passengers or things weighing 50 kg each can the vehicle load?
A. 11
B. 12
C. 13
D. 14
D. 14
- If a man uses 20 gallons of gasoline to travel 350 km in his car, how many gallons will he need for a 750 km trip?
A. 42.86
B. 52.86
C. 62.86
D. 72.86
A. 42.86
- If Jet walked 20 km in 4 hrs, how far can he walk (in km) at the same rate in 6 hrs?
A. 10 km
B. 20 km
C. 30 km
D. 40 km
C. 30 km
- A 234 inches rope is divided into pieces; the ratio of which is 5:13. Find the length (in inches) of each piece.
A. 75 and 159
B. 135 and 99
C. 65 and 169
D. 168 and 66
C. 65 and 169
- If the two consecutive terms of the Fibonacci sequence are both odd, is the next term even or odd?
A. Odd
B. Even
C. both odd and even
D. cannot be defined
B. Even
- Using Binet’s Formula, find the 25th term in Fibonacci Sequence
A. 832,040
B. 85, 025
C. 57, 887
D. 75, 025
D. 75, 025
(23-25) For the purposes of a marketing research, a survey of 1000 women is conducted in a town. The results show that 52 % liked watching comedies, 45% liked watching fantasy movies and 60% liked watching romantic movies. In addition, 25% liked watching comedy and fantasy both, 28% liked watching romantic and fantasy both and 30% liked watching comedy and romantic movies both. 6% liked watching none of these movie genres.
- How many women like watching all the three movie genres?
A. 400
B. 200
C. 220
D. 20
B. 200
- Find the number of women who like watching at least two of the given genres.
A. 510
B. 430
C. 500
D. 530
B. 430
- Find the number of women who like watching only one of the three genres.
A. 510
B. 430
C. 500
D. 530
A. 510
- Which of the following mathematical expressions below is a formula for trapezoid?
A. A = 1/2 bh
B. A = 2L + 2W
C. A = bh
D. A = (1/2) (b1 + b2) h
D. A = (1/2) (b1 + b2) h
- Find the area of a trapezoid if the bases are 10 cm and 14 cm, and the perpendicular distance between them is 12 cm.
A. 120cm^2
B. 144cm^2
C. 124cm^2
D. 128cm^2
B. 144cm^2
- The barrel contains 50 mangoes. Three mangoes selected in random were found to be ripe. Therefore, probably all 50 mangoes are ripe. What type of argument is this?
A. Conjecture
B. Counterexample
C. Deductive
D. Inductive
D. Inductive
- Which of the following is not an example of deductive reasoning?
A. 3x=24,then x=8
B. All men are mortal, Johnny in a man, Therefore, Johnny is mortal.
C. Every crow I have ever seen is black, therefore all crow is black.
D. Given two supplementary angles with one of them measuring 100 degrees, the measure of other angle is 80 degrees.
C. Every crow I have ever seen is black, therefore all crow is black
- “If the product of two natural numbers is odd, then the sum of the two natural numbers is odd.” Which of the following is a counterexample?
A. 2,3
B. 1,3
C. 4,10
D. 6,4
B. 1,3
- John planned a weekend trip. Before his trip, he paid 1,500 pesos for transportation. He then spent one-third of his remaining money at a restaurant. After that, he withdrew 3,000 pesos from the ATM and spent half of his remaining money shopping. John now has 4,000 pesos left. How much money did John have before paid for transportation?
A. P 12,000
B. P 6,000
C. P 9,000
D. P 7,600
C. P 9,000
- A team of 8 managers from a tech company met for a collaboration session. After the meeting, each manager greeted the others with a handshake. How many unique handshakes took place?
A. 56 handshakes
B. 28 handshakes
C. 36 handshakes
D. 26 handshakes
B. 28 handshakes
- Jake is 6 years younger than Chris. Chris is y years old. If the sum of their ages is 54, how old is Jake?
A. 22 years old
B. 24 years old
C. 26 years old
D. 28 years old
B. 24 years old
- 57.77 is 36% of what number?
A. 512
B. 271
C. 20.80
D. 160.47
D. 160.47
- 0.0034 is what percent of 0.0120?
A. 0.2833%
B. 2.833%
C. 28.33%
D. 280%
C. 28.33%
- What is 88% of 76?
A. 66.88
B. 86.36
C. 36.86
D. 88.66
A. 66.88
- A pair of shoes is on sale at 20% off the marked price. If the marked price is P 2,500, what is the sale price? (resolve)
A. P 2,300
B. P 2,200
C. P 2,100
D. P 2,000
D. P 2,000
- Which among the following are the factor x^80-49y^4=0?
A. (x^20-7y^4)(x^4-7y^2)
B. (x^2-7y^4)(x^40-7y^2)
C. (x^40-7y^4)(x^2-7y^2)
D. (x^40-7y^4)(x^40-7y^2)
D. (x^40-7y^2)(x^40-7y^2)
- Find the sum of the first 22 positive odd integers.
A. 564
B. 648
C. 244
D. 484
D. 484
- What is the variance of a distribution having a standard deviation of 5.42?
A. 27.67
B. 22.76
C. 29.36
D. 33.16
C. 29.36
- Find the Mean of the Mean, Median, and Mode base on the data given 77, 83, 83, 85, 87, 90, 90, 93, 94, 99, 99
A. 89
B. 90.218
C. 89.09
D. 90.09
A. 89
- A mother invested ₱ 100,000 in a mutual fund on the date her first son was born. If the money is worth 10% compounded semi-annually, how much will the so receive on his 18th birthday? (F=P(1=i)^n ) n=mt and i=r/m
A. ₱ 578, 181
B. ₱ 579, 181.81
C. ₱ 578, 182
D. ₱ 579, 181.61
D. ₱ 579, 181.61
- A man expects to receive ₱ 125,000 in eight years. How much is that money worth now considering an interest rate of 12% compounded quarterly? P=F/(1+r/m)^mt
A. ₱ 54, 674.12
B. ₱ 48, 542.13
C. ₱ 34, 673.13
D. ₱ 43, 213.14
B. ₱ 48, 542.13
- (3/5-2/3)+(1/4+2/4) is equal to:
A. 41/60
B. 11/20
C. 4/12
D. 1/2
A. 41/60
- An employee borrows ₱ 60,000 for 7 months at an interest rate of 12% per year. Find the interest earned and the total he must pay? F=P (1+rt)
A. ₱ 64,200
B. ₱ 64,000
C. ₱ 60,200
D. ₱ 62,400
A. ₱ 64,200
- What day of the week is 25 days from now if today is a Monday?
A. Monday
B. Wednesday
C. Thursday
D. Friday
D. Friday
- (1/8-2/3)-2/5 is equal to:
A. 48/120
B. 47/120
C. 46/120
D. 45/120
B. 47/120
- (2/53)÷(53/4) is equal to:
A. 8/25
B. 24/75
C. 29/90
D. 45/200
A. 8/25
- What is the value of the polynomial 7x^2-2x^2+5x if x=-2?
A. -30
B. 74
C. -74
D. 30
C. -74
- I If a box contains 12 yellow, 20 black, and 14 green balls. Find the probability of getting black?
A. 0.3
B. 0.2
C. 0.4
D. 0.5
C. 0.4