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Trigonometry

100

Which quadrants have positive values for cosine ?

1 and 4

200

If SinA = 12/13 (acute), what is cosA ?

5/13

300

Simplify sin² +cos²

1

400

Simplify sin²A-cos²A

-cos(2A)

500

Solve 2cos²x-1=0 for where x is greater than 0 degree and less 180 degree.

45 degree, 135 degree

Quadratic Equations

100

If discriminant = 0, what. do the roots look like ?

real and equal

200

For 2x²-5x+k=0 , find k if roots are equal.

25/8

300

If the roots of a quadratic eq. are P and Q, find eq. with p+1 and q+1.

x²-(p+q+2)x+(pq+p+q+1)=0

400

If roots of a quadratic eq. are 4 and -3, form the equation.

x²-x-12=0

500

One root of a quadratic equation is 4. The sum of the roots is 9. Form the equation.

x²-9x+20

Functions

100

Is y=x³ an odd or even function ?

odd

200

what is the range of f(x)=x² ?

0,infinity

300

If g(x)=x+1 and f(x)=2x, find f(g(2)).

6

400

If f(x)=underroot of (x-2), find its domain.

x is greater than or equal to 2

500

For f(x)=x², restrict the domain so that the inverse exists.

Restrict x to be greater than or equal to zero.

Circular measure

100

The circumference of a circle is 44. Find radius.

7 

200

Convert 210 degrees to radians.

7pi/6

300

A wheel makes 1/3 of a full revolution. How many radians does it rotate through ? 

2pi/3 

400

The radius of a wheel is 21 cm and it rotates 120 degrees. Find arc length.

14 pi cm

500

If the arc length of a sector is 15 and radius is 9, find the angle in radians.

5/3 radians

Math terminology

100

Which number is neither prime nor composite ?

1

200

what is the degree of the polynomial 4x³-7x+2

3

300

What is the term for a pair of angles that add up to 180 degrees ?

Supplementary angles

400

What do we call a sequence where each term is obtained by multiplying the previous one by a fixed number.

Geometric progression

500

what do we call a matrix with equal rows and columns ?

Square matrix