Algebra
Combinatorics
Geometry
Number Theory
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100

What are the solutions to x2−50x+600=0?

What is x=20, 30?

100

A coin is flipped 3 times. How many sequences have exactly 2 heads?

What is 3?

100

What's the area of an equilateral triangle of side length 8?

What is 16√3?

100

What's the smallest prime number greater than 100?

What is 101?

100

If a train travels 60 miles in 1.5 hours, what is its speed?

What is 40 (mph)?

200

Solve: log⁡51 − log⁡525

What is -2?

200

How many 3-digit numbers can you make using digits 1, 2, 3, and 4 (no repeats)?

What is 24?

200

A triangle’s angles are in the ratio 2:3:4. Find all the angles.

What is 40°, 60°, 80°?

200

Find the remainder when 710 is divided by 5.

What is 4?

200

Suppose that m and n are positive integers such that 75m = n3. What is the minimum possible value of m+n?

What is 60?

300

What is the intersection of: 2x + 3y = 33, x - y = -1? (Answer as an ordered pair)

What is (6, 7)?

300

How many ways are there to arrange the letters in JEOPARDY?

What is 8! or 40,320?

300

A square's diagonal is 10. What is it's side length?

What is 5√2?

300

Kayla has two younger twin brothers. The product of their three ages is 128. What is the sum of their three ages?

What is 16?

300

Find the sum of all integers from 1-500.

What is 125,250?

400

If a + b = 5 and ab = 6, what is a³ + b³?

What is 35?

400

How many numbers from 1 to 100 (inclusive) are divisible by 2 or 7?

What is 57?

400

A semicircle has diameter 10. A square is inscribed in it with one side along the diameter. What is the side length of the square?

What is 2√5?

400

How many factors does 60 have?

What is 12?

400

In arithmetic, the operation of combining two or more numbers to produce a single total is called what?

What is addition?

500

Solve for a in a2b = 4, b2c = 3, c2a = 18.

What is 2?

500

How many 4 digit numbers exist such that the first digit is odd and the other 3 digits and even and all digits distinct?

What is 300?

500

How many sides does a regular 15-sided polygon have?

What is 90?

500

How many positive cubes divide 3!*5!*7! ?

What is 6?

500

2 + 2 =

What is 2?