ALGEBRA
GEOMETRY
STATS
TRIGONOMETRY
MISCELLANEOUS
100

Solve for k: 3k-2=7

k=3

100

What is the area of this square?


121 cm2

100

What is the value that appears most frequently in a data set?

The mode
100

Find the value of the sin(A)

40/50=4/5=0.8

100

What is the smallest prime number?

2

200

Solve for x and y:
3x-2y=6 ; x+y=-8

x=-2 and y=-6

200

What is the area of this kite?


39m2

200

Given a 6-sided fair die, what is the probability you roll a 3?

1/6

200

What is tan(30º)?

1/√3 = √3/3

200

What is the sum of the first 10 positive integers?

55

300
The function f(x)=ax2+bx+c has its vertex at (3,-2). If a=1 and b=-6, find c

7

300

What is the sum of the interior angles in a heptagon?

900

300

In a standard deck of 52 playing cards, what is the probability of drawing an ace or a king?

8/52 = 2/13

300

Convert 135º to radians

3π/4

300

What is the next number in this sequence?

1, 8, 27, 64, ...

125

400

Solve for x: 5^(3x+2) = 7^(3x+2)

x=-2/3

400

A square is inscribed within a circle of diameter 23. What is the perimeter of the square?


46√2

400

You roll two fair six-sided dice. What is the probability that the sum of the numbers on the dice is 7?

6/36 = 1/6

400

Solve for x on the interval [0,2π] :
2sin2x+3sinx-2=0

x=π/6 and x=5π/6

400

What is the remainder when 2015 is divided by the sum of its digits?

7

500

Solve for x: x3-6x2+10x-4=0

2, 2-√2, 2+√2


500

In a triangle with side lengths of 5,7,10. Find the area of that triangle.

√24=2√6

500

Given a data with 100 observations, where the mean is 50 and the standard deviation is 10. What is the probability that a randomly selected observation falls between 45 and 55, assuming a normal distribution?

Approximately 68%

500

Find the exact value of sin(15º)

(√6-√2)/4

500

What is this notation called: ø ?

The empty/null set