Mental Math
Riddles
Competition Questions
Math History
100

316+1017

What is 1333?

100

What number do you get when you multiply all the numbers of a telephone dialpad?

What is 0?

100

Luka is making lemonade to sell at a school fundraiser. His recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. He uses 3 cups of lemon juice. How many cups of water does he need?

What is 24?

100

This formula is known as the ...

x^2 + y^2 = z^2

What is the Pythagorean Theorem?

200

34x7

What is 238?

200

If there are four apples and you take away three of them, how many apples do you have?

What is 3?
200

A cup of boiling water (212°F) is placed to cool in a room whose temperature remains constant at 68°F. Suppose the difference between the water temperature and the room temperature is halved every 5 minutes. What is the water temperature, in degrees Fahrenheit, after 15 minutes?

What is 86?

200

What base is our current number system?

What is base 10?
300

2^13

What is 8192?

300

Can you write down eight eights so that they add up to one thousand?

What is 888+88+8+8+8=1000?

300

When three positive integers a, b, and c are multiplied together, their product is 100. Suppose a < b < c. In how many ways can the numbers be chosen?

What is 4?

300

Issac Newton and Gottfried Leibniz are credited with both working on what popular Advanced Placement math topic?

What is calculus?

400

90x95

What is 8550?

400

One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years time, I will be twice as old as my brother.” How old are they each now?

What is 17 and 7?

400

Henry the donkey has a very long piece of pasta. He takes a number of bites of pasta, each time eating 3 inches of pasta from the middle of one piece. In the end, he has 10 pieces of pasta whose total length is 17 inches. How long, in inches, was the piece of pasta he started with?

What is 44?

400

What mathematician is known for the x/y coordinate plane?

Who is Rene Descartes?

500

333/37

What is 9?

500

I am a number, but when you add ‘G’ to me, I go away. What number am I?

What is one?

500

How many positive integers can fill the blank in the sentence below?

“One positive integer is _____ more than twice another, and the sum of the two numbers is 28.”

What is 9?

500

What historical figure is credited with the phrase "Eureka!"

Who is Archimedes?

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