Basic Algebra
Geometry
Trigonometry
Probability
Number Theory
1000

What is the value of x in the equation 2x + 5 = 11?

x = 3

1000

What is the formula for the area of a triangle?

Area = 1/2 * base * height

1000

Find the sine of an angle in a right triangle with opposite side 3 and hypotenuse 5.

sin(theta) = opposite/hypotenuse = 3/5

1000

What is the probability of rolling a 6 on a fair six-sided die?

1/6 or approximately 0.167

1000

What is the prime factorization of 36?

36 = 2^2 * 3^2

2000

Solve for y in the equation 3y - 7 = 14.

y = 7

2000

Calculate the perimeter of a square with side length 5 units.

Perimeter = 4 * side length = 20 units

2000

Calculate the cosine of an angle in a right triangle with adjacent side 4 and hypotenuse 5.

cos(theta) = adjacent/hypotenuse = 4/5

2000

If there are 10 red marbles and 5 blue marbles in a bag, what is the probability of drawing a red marble?

P(red) = 10/(10+5) = 2/3 or approximately 0.667

2000

Find the greatest common divisor (GCD) of 24 and 36.

GCD(24, 36) = 12

3000

Simplify the expression 4(2x + 3) - 5.

8x + 7

3000

Find the volume of a cube with side length 3 units.

Volume = side length^3 = 27 cubic units

3000

What is the tangent of an angle in a right triangle with opposite side 2 and adjacent side 3.

tan(theta) = opposite/adjacent = 2/3

3000

A spinner is divided into 6 equal sections, with 2 sections marked "win" and the rest marked "lose." What is the probability of winning?

P(win) = 2/6 = 1/3 or approximately 0.333

3000

What is the least common multiple (LCM) of 8 and 12?

LCM(8, 12) = 24

4000

Factor the equation x^2 - 4.

(x+2)(x-2)

4000

What is the formula for the circumference of a circle?

Circumference = 2 * pi * radius

4000

Find the secant of an angle if the cosine is 3/5.

sec(theta) = 1/cos(theta) = 5/3

4000

DAILY DOUBLE: If a card is drawn from a standard deck of 52 cards, what is the probability of drawing a heart?

P(heart) = 13/52 = 1/4 or 0.25

4000

Determine if 101 is a prime number.

101 is a prime number

5000

Solve the equation 2(x+4) = 16.

x = 4

5000

Calculate the area of a circle with radius 4 units.

Area = pi * radius^2 = 16pi square units

5000

Calculate the cotangent of an angle if the sine is 4/5.

cot(theta) = 1/tan(theta) = 3/4

5000

Two dice are rolled. What is the probability of rolling a sum of 7?

There are 6 outcomes that sum to 7 out of a total of 36 outcomes, so P(sum of 7) = 6/36 = 1/6 or approximately 0.167

5000

Find the last digit of 7^123.

The last digit of 7^123 is 7

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