B. Part 2

1. Which is the smallest?

a. 1/3

b. 14%

c. 0.2

^{2}^{}^{ }d. square root of 4

**Detalye:**

*1/3 = 0.33*

*14% = 0.14*

*0.2*

^{2}= 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)*

*a*

^{2 }+ b^{2 }= c^{2}

^{ }4^{2 }+ 3^{2 }= c^{2}

^{ }(4x4) + (3x3) = c^{2}

^{ }16 + 9 = c^{2}

^{ }c^{2 = }25*c = square root of 25*

*c = 5 hours*

3. John
bought a car for P 500,000.00 It depreciates as follows:

1

^{st}year = 10%
2

^{nd}year = 15%
3

^{rd}year = 20%
4

^{th}year = 25%
5

^{th}year = 30%
If John
decides to sell the car for P 175,000.00 at the end of the 5

^{th}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 5

^{th}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*

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