B. Part 2
1. Which is the smallest?
a. 1/3
b. 14%
c. 0.22
d. square root of 4
Detalye: 1/3 = 0.33
14% = 0.14
0.22 = 0.2 x 0.2
= 0.04
Square root of 4 = 2
2. From his house, Jose drove West to his
mother’s house for 4 hours. Then went North to visit his girlfriend for a
3-hour drive. From there, he decided to take a short cut South East to his
house. Assuming that all conditions are the same, how long will it take Jose to
reach his house?
a. 3.5 hours
b. 4 hours
c. 5 hours
d. 6 hours
Detalye: Remember Pythagorean Theorem (Right
Triangle)
a2 + b2 = c2
42 + 32 = c2
(4x4) + (3x3) = c2
16 + 9 = c2
c2 =
25
c = square root of 25
c = 5 hours
3. John
bought a car for P 500,000.00 It depreciates as follows:
1st year = 10%
2nd year = 15%
3rd year = 20%
4th year = 25%
5th year = 30%
If John
decides to sell the car for P 175,000.00 at the end of the 5th year,
he will get a… (without considering taxes).
a. loss of P14,350
b. profit of P 14,350
c. no profit or loss
d. cannot determine loss or profit
Detalye: Value
of car after 1st year = 500,000 – (500,000 x 10%) = 500,000 – 50,000 = 450,000
Value of car after 2nd year
= 450,000 – (450,000 x 15%) = 450,000 – 67,500 = 382,500
Value of car after 3rd year
= 382,500 – (382,500 x 20%) = 382,500 – 76,500 = 306,000
Value of car after 4th year
= 306,000 – (306,000 x 25%) = 306,000 – 76,500 = 229,500
Value of car after 5th year = 229,500 – (229,500
x 30%) = 229,500 – 68,850 = 160,650
175,000 – 160,650 = 14,350
Profit
4. If two
fair dice are rolled together, what is the probability that the outcome is 1
& 1?
a. 1/6
b. 1/12
c. 1/3
d. 1/36
Detalye: Ang isang dice ay
may 6 anim na mukha na may nakasulat na tuldok na may bilang buhat 1 hanggang 6. Kapag
inihagis ang isang dice, ang bilang ng tuldok na lalabas ay maaring 1, 2, 3, 4,
5 o 6. Kung gayon, ang probabilidad na
lalabas ang isang tuldok o 1 ay 1/6. Ang pangalawang dice ay gayon din
ang probabilidad na lalabas ang 1 o 1/6.
Kung gayon, kapag inihagis nang sabay
ang 2 dice, ang probabilidad na 1 at 1 ang lalabas ay 1/6 + 1/6 = 2/6 o 1/3. MALI!
Sa halip na i-add, dapat
ay i-multiply ang dalawang probabilidad. Kaya, 1/6 x 1/6 = 1/36 ang tamang
sagot. Subukang ilista ang mga combination na lalabas para makitang tama ang
sagot. Halimbawa = 1,1 ; 1,2; 1,3; 1,4; atbp.
5. Nena’s
grades in 5 subjects are 80, 83, 86, 81 & 88 while Josefa got 78, 82, 89
& 85 in 4 subjects. To have the same average grade, Josefa should get ____ in her 5th subject:
a. 82
b. 79
c. 83.70
d. 84
Detalye: Average na Grado
ni Nena = 80, 83, 86, 81 & 88 = 418/5 = 83.60
Average na Grado ni Josefa =
78, 82, 89, 85 & X = (334 + X)/5 = 83.60
334 + X = 5(83.60)
X = 418 – 334
X = 84
