Mathematics

Geometry

5

What is the formula of an area of a square?

a. A=s²

b. A=6a²

c. A=4s

d. A=a³

a. A=s²

10

What is the formula for the volume of a cone

a. V=1/2hπr²

b. V=1/3hπr²

c. V=πr²h

d. a³h/3

b. V=1/3hπr²

15

What formula from pythagorean theorem should be used if we are looking for the hypotenuse

c² = a²+b²

20

What is the formula for distance of a circle?

a. d = √(x−h)²+(y−y1)²

b. d = (x₁+x₂)/2, (y₁+y₂)/2

c. d = (x₂−x₁)²+(y₂−y₁)²

d. d = √(x₂−x₁)²+(y₂−y₁)²

d. d = √(x₂−x₁)²+(y₂−y₁)²

25

What are the 4 types of Conic sections?

Circle, Ellipse, Parabola, Hyperbola

Algebra

5

What is the total angle of a two supplementary angles

a. 90

b. 180

c. 270

d. 360

b. 180

10

What is a rectangular array where numbers or elements are arranged in rows and columns? 

Matrices

15

Simplify this algebraic expression using distributive property

3(9-12)

-9

Solution

= 3(9-12)

=27-36

=-9

20

Solve this Inverse function

f(x) = (7x+5)/2

a. y = 2x+5/7

b. y = 5x-2/7

c. y = 2x-7/5

d. y = 2x-5/7

d. y = 2x-5/7

25

Simplify this algebraic expression and arrange in descending order by degree and alphabetical order 

6(x-4y)+2x(5+9y)-3y

18xy+16x-27y

Arithmetic

5

What is PEMDAS?

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction

10

What is the smallest prime number?

a. 0

b. 1

c. 2

d. 3

c. 2

15

Choose to the following which is an irrational number

a. 6/6

b. -5

c. √6

d. 3.78

c. √6

20

Solve the problem and simplify.

23/7 x 9/4

a. 207/27

b. 7 11/27

c. 7 11/28

d. 207/28

c. 7 11/28

25

Which of the following is an example of associative rule of multiplication?

a. x³(2x⁴⋅x) = (x³⋅2x⁴)x

b. (x⁴-2x) 3x = 3x(x⁴-2x)

c. a(b+c) = (a⋅b)+(a⋅c)

a. x³(2x⁴⋅x) = (x³⋅2x⁴)x

Trigonometry

5

What does this symbol "θ" called?

a. Delta

b. Alpha

c. Beta

d. Theta

d. Theta

10

What is the formula for the sine of an angle in a right triangle?

a. sinθ =opposite/hypotenuse

b. sinθ =adjacent/hypotenuse

c. sinθ =hypotenuse/opposite 

D. sinθ =hypotenuse/adjacent 

a. sinθ =opposite/hypotenuse

15

What is SOHCAHTOA?

Sine=opposite/hypotenuse

Cosine=adjacent/hypotenuse

Tangent=opposite/adjacent

20

What are the opposites of SOHCAHTOA?

CHOSHACAO

cosecant = hypotenuse/opposite

secant = hypotenuse/adjacent

cotangent = adjacent/opposite

25

What are the formula for sinx in reciprocal identities? 

a. sinx = 1/cscx

b. sinx = 1/secx

c. sinx = 1/cotx

a. sinx = 1/cscx

Statistics

5

What are the measures of central tendency?

a. mean

b. median

c. mode

d. All of the above

d. All of the above

10

Solve this problem:

5! 

a. 5

b. 25

c. 100

d. 120

d. 120

15

Formula for Permutation without repetition

a. P(n,r) = n!/(n-r)!

b. P = n^r

c. nPr = n!/r! (n-r)!

a. P(n,r) = n!/(n-r)!

20

What is the probability of getting a face card in a deck of cards

a. 1/3

b. 3/13

c. 2/12

d. 1/2

b. 3/13

25

What is the formula for Pearson's r?

a. r = [n(Σxy) − ΣxΣy]/√[n(Σx²) − (Σx)²][n(Σy²) − (Σy)²]

b. r = [(Σy)(Σx²)-(Σx)(Σxy)]/[n(Σx²) − (Σx)²]

c. r = [n(Σxy)-(Σx)(Σxy)]/[n(Σx²) − (Σx)²]

a. r = [n(Σxy) − ΣxΣy]/√[n(Σx²) − (Σx)²][n(Σy²) − (Σy)²]