Find my "x"
Famous Formulas
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Mind Puzzles
Numbers
100

3x - 1= 11

x = 4

100

Slope-Intercept form of a line.

y = mx + b

m is the slope (rate of change)

b is the y - intercept (where the line crosses the y-axis)

100

Jon drove an average of 250 miles per day for three days. He drove 400 miles on the first day and 125 miles on the second day. How many miles did he drive on the third day?

225 miles.

400 + 125 + 225 = 750   and 750/3 = 250


100

Each of the three letters "O", "N", and "G" stands for a different digit.

ON  +  ON  +  ON  +  ON  =  GO

Find the digit for each letter that makes the above equation true.

O is 2.  N is 3.  G is 9.

23 + 23 + 23 + 23 = 92

also: (0,5,2) and (1,0,4)

100

How many zeros are in the number 103.0 x 1012 when expanded?

13

103,000,000,000,000

200

-3x + 12 = 24

x = -4

200

Area of a triangle if the height is "h" and the base is "b".

A = (bh)/2     or

A = (1/2)(bh)

200

Captain Wayne did 17,000 sit ups in 7 hours and 27 minutes. At a rate of 40 sit-ups per minute, how many hours and minutes would it take you to tie Captain Wayne?

7 hours and 5 minutes.

200

You have boxes that will hold 1 cubic foot, 3 cubic feet, 9 cubic feet, and 27 cubic feet of paper. What is the fewest number of boxes you need to hold 257 cubic feet of paper?

13 boxes.

9x27 + 1x9 + 1x3 + 2x1 = 257

200

Round the number "pi" to the nearest millionth.

3.141593

300

x2 = 9

x = 3 and -3

300

Standard form of a parabola.

y = ax2 + bx + c

300

The peel of a banana weighs about 1/8 of the total weight of a banana. If you buy 7 pounds of bananas at 2 pounds for 29 cents, about how much are you paying for banana peel?

About 13 cents.

300

What is the number?

It is greater than 442 and less than 452. 52 is one of its factors. It is a multiple of 13.

1950

300

Round the number "e" to the nearest billionth.

2.718281828

400

2x2 + 3 = 3

x = 0

400

Einstein's special theory of relativity.

E = mc2

E = energy, m = mass, c = speed of light.

400

Which deal gives you more Pizza for your money? The pizzas are circles (round). Medium (14 inch diameter) is $4.80. Large (18 inch diameter) is $8.00.

The medium pizza.  Area = (pi) x radius2

Area medium = 3.14 x 72 = 153.86 in2

153.86/4.80 = 32.05 in2 per dollar

Area large = 3.14 x 92 = 254.34 in2

254.34/8 = 31.79 in2 per dollar

400

What are the TWO smallest numbers that are multiples of both 2 and 3 AND have exactly six factors.

12 and 18.

400

Round the golden ratio to the nearest thousandth.

1.618

500

x2 = -1

x = i and -i

500

What is the square root of negative 1 called?

"i" = the imaginary number
500

A tin can is 8 cm high and has a radius of 2.3 cm. A label covers the lateral surface of the can. What is the area of the label?

About 115.6 cm2.

500

There are 20 loops. All langs are loops. All loops are lords. There are 12 langs. There are 30 lords. How many lords are not loops or langs?

10 lords.

500

Add all the integers from 1 to 200.

20,100