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SPECIALIZATION PART 1

Total questions: 25

Worksheet time: 24mins

Name
Class
Date
1.

The figure shows

a)

Same negative correlation

b)

Perfect positive correlation

c)

Perfect negative correlation

d)

Same positive correlation

2.

To express that there is significant difference between the income of family A and that of the income of Family B

a)
b)
c)
d)
3.

A subset of the sample space is

a)

discrete variable

b)

event

c)

phenomenon

d)

continous variable

4.

A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue ball. Find the probability that it is white.

a)

1/3

b)

4/5

c)

4/15

d)

4/13

5.

If a die is rolled, what is the probability of getting a number divisible by 2?

a)

1/6

b)

1/4

c)

1/2

d)

1/3

6.

He was a 16th century mathematician, who was the first to define that the probability of event to happen is the quotient of the number of the favorable outcomes and the number of all outcomes. Who was he?

a)

Stephen Baldwin

b)

Blaise Pascal

c)

Girolamo Cardano

d)

Richard Dedekind

7.

Find the equation of an ellipse in the standard form If the equation of the ellipse general form is given by: 9x2+16y2+18x96y+9=09x^2+16y^2+18x-96y+9=0  

a)

(x+1)216(y3)29=1\frac{\left(x+1\right)^2}{16}-\frac{\left(y-3\right)^2}{9}=1   

b)

(x1)216(y3)29=1\frac{\left(x-1\right)^2}{16}-\frac{\left(y-3\right)^2}{9}=1  

c)

(x+1)216+(y3)29=1\frac{\left(x+1\right)^2}{16}+\frac{\left(y-3\right)^2}{9}=1  

d)

(x1)216+(y3)29=1\frac{\left(x-1\right)^2}{16}+\frac{\left(y-3\right)^2}{9}=1  

8.

Perform the indicated operations and reduce result to simplest form. 2x23x142x23x52x2x102x25x7\frac{2x^2-3x-14}{2x^2-3x-5}\cdot\frac{2x^2-x-10}{2x^2-5x-7}  

a)

x2+2x2+4\frac{x^2+2}{x^2+4}   

b)

x2+1x2+4\frac{x^2+1}{x^2+4}  

c)

x2+4x+4x2+2x+1\frac{x^2+4x+4}{x^2+2x+1}  

d)

x2+4x2+1\frac{x^2+4}{x^2+1}  

9.

Form of a linear equation in one variable.

a)

ax+b=0ax+b=0   

b)

ax2+by2+dx+ey+f=0ax^2+by^2+dx+ey+f=0  

c)

ax2+bx+c=0ax^2+bx+c=0  

d)

ax+by+c=0ax+by+c=0  

10.

Area of an isosceles triangle with base of 2 meters and perimeter of 12 meters.

a)

2(6m2)2\sqrt{\left(6m^2\right)}   

b)

4 m24\ m^2  

c)

2 m22\ m^2  

d)

6(2m)6\sqrt{\left(2m\right)}  

11.

What is the area of a triangle with vertices at (5,3), (11, 13) and (8,8)? Wrong given

a)

3030   

b)

1515  

c)

77  

d)

2424  

12.

Find the distance between the line 3x - y = 0 and the point (2,-4)

a)

1010   

b)

10\sqrt{1}0  

c)

10-10  

d)

10-\sqrt{1}0  

13.

The approximate shape of the earth is

a)

sphere 

b)

 circle

c)

 cone

d)

 cube

14.

 It costs a lady's bag manufacturer Php 400.00 to produce a lady's bag that sells for Php 550.00. How many lady's bags must be manufacturer sell to make a profit of Php 60,000.00?

a)

400

b)

150

c)

250

d)

200

15.

Annual interest at 8% for 3 months on P6,000.00

a)

P 480.00

b)

P 120.00

c)

P 150.00

d)

P 160.00

16.

 Find the units in z8z^8   {1, 2, 3, 4, 5, 6, 7}

a)

2

b)

4

c)

1

d)

8

17.

Four out of every five households have cellphone. If 10,000 households in a certain 2 barangay have cellphone, how many do NOT have cellphone? NO CORRECT ANSWER

a)

7,500

b)

2,000

c)

9,500

d)

7,000

18.

Find the amount and compound interest converted quarterly in 5 years on P20,000.00 at 8%

a)

P19,600.95

b)

P29,718.95

c)

P25,600.00

d)

P22,700.00

19.

Perform the indicated operation and reduce to lowest terms: a21a3+1÷a2a2a+1\frac{a^2-1}{a^3+1}\div\frac{a^2}{a^2-a+1}  

a)

a12\frac{a-1}{2}  

b)

2a+1\frac{2}{a+1}  

c)

x33\frac{x-3}{3}  

d)

a+12\frac{a+1}{2}  

20.

Express z as a function of x and y if z is directly proportional to the product of x and y.

a)

 z= c/xy

b)

 z=1/xy

c)

 z= cxy

d)

 z= xy

21.

Express z as a function of x and y if z is directly proportional to the product of x and y.

a)

 z= c/xy

b)

 z=1/xy

c)

 z= cxy

d)

 z= xy

22.

Evaluate dy / dx when x = 2 for y = 8xx38x-x^3  

a)

8

b)

-4

c)

4

d)

0

23.

Simplify the given exponential expression: (6a2b)(2a3b5)\left(6a^2b\right)\left(-2a^3b^5\right)  

a)

2a6b52a^6b^5  

b)

4a6b5-4a^6b^5  

c)

12a5b6-12a^5b^6  

d)

4a5b64a^5b^6  

24.

By inspection, determine whether each percentage is greater than, equal to, less than, or less than and equal to the base ; 100% of 0.12.

a)

Percentage is less than the base. 

b)

 Percentage is equal to the base.

c)

Percentage is less than and equal to the base. 

d)

 Percentage is greater than the base.

25.

Three fourths of the participants in a regional training program are from private universities. Two thirds of these are from Teacher Education Institutions. If there are 96 participants, how many of them represent private Teacher Education Institutions?

a)

72

b)

18

c)

48

d)

24