Geometry
Probability
Algebra
Statistics
Brain Teasers and Puzzles
100

Find the perimeter of this equilateral triangle. 

(Slide #1)

What is 21in?

100

There is a basket with 10 socks inside. 3 are yellow and 7 are blue. What is the probability that you randomly draw a yellow sock from the basket?

What is 3/10 (30%)?

100

Solve for v:

4= 3v-2

What is v=2?

100

Analyze the graph. How many students were surveyed to obtain this data? 

(Slide #6)

What is 18 students?

100

You have two cents that equal $0.30 total. One of the coins cannot be a nickel. What are the two coins? 

What is a nickel and a quarter? (Only one coin can't be a nickel)

200

Find the volume of this rectangular prism. 

(Slide #2)

What is 250in3?

200

What is the probability that a coin you flip twice lands on tails both times? 

What is 1/4 (25%)?

200

Solve for w:

w= (3*7)2 + 2*4

What is w= 449?

200

Analyze the following data set. What is the mode of this data? 

67, 86, 75, 74, 68, 85, 74, 80

What is 74?

200

You toss a coin up 1,000 times and it lands on heads all 1,000 of those times. What are the odds that the coin lands on heads on the next toss?

What is 50/50 (50% chance)?

300

In physics, the area under the curve of a fnet (net force) vs time graph is equal to impulse. Analyze the graph and find the impulse (in Ns or Newton-second units).

(Slide #3)

What is 11 Ns?

300

`1You have a d20 (twenty-sided) die and a d6 (six-sided) die, which you roll. What is the probability that you roll a 17 on the d20 and a 4 on the d6?

What is 1/120 (0.83%)?

300

Simplify this equation (hint; combine like terms):

4x+9 -(8x-10)

What is -4x+19?

300

Analyze the data set. What is the mean (or average) of this data?

13, 12, 18, 21, 26, 17, 19

What is 18?
300

You’re visiting a clothing store with a strange way of pricing items. A shirt costs $25, a tie costs $15, and a jacket costs $30. If you wanted to buy overalls, how much would they cost?

What is $40?

400

The pair of triangles shown are similar. Determine the length of the missing side. 

(Slide #4)

What is 4?

400

A baseball club which has 35 members is looking for a new captain, who will be chosen at random. The one guideline is that the captain can NOT be one of the 7 benchwarmers. What is the probability that Michael, an active player, will be chosen at random?

What is 1/28 (3.6%)?

400

Can x= -4 for this equation? Why or why not?


What is x cannot equal 4? (x cannot equal 4 because 4-4 is equal to zero, and you can't have a denominator of zero.

400

10 students were randomly picked and surveyed on how many pets they have at home. Create a bar graph of the data. 

0, 0, 3, 2, 1, 1, 0, 2, 4, 3

What is ______.

400

I am a three-digit number. My second value is 4-times greater than my third value. My first value is 3 less than my second value. What number am I? 

What is 141?

500

The Pythagorean theorem is an equation used specifically on right triangles. The equation for the Pythagorean theorem is;

a2 + b2 = c2 ,

Where a and b equal the legs and c equals the hypotenuse (the longest side) Using this equation, find c. 

(Slide 5)

What is 10?

500

Maddie is taking a 4-question multiple choice quiz. There are 3 answer choices for each question, with only 1 answer choice being correct. Maddie didn’t study, and randomly guessed on all of the questions. What is the probability that she gets all 4 questions correct?

What is 1/81 (1.2%)?

500

Solve for y:

215x-27= 8

What is x=2?

500

Analyze the stem and leaf plot. What are the three actual values in the '1' row (or the second row down). 

(Slide #7)

What are 12, 15, and 17?

500

What are the next numbers in this number sequence?

1, 1, 2, 3, 5, 8

What are 13 and 21?

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