Decimals
Word Problems
Super Duper Hard Questions
Algebra
Mean, Median, Mode
100

What is 2.25 - 1.89?

0.36

100

Jeff has 345$ in his bank account, but he needs $556667777 more money to buy a mansion. How much money is the mansion worth?

$556668122

100

What is the scientific notation of 456?

4.56 x 102

100

If 34 times x is 34(x+23 - 3 -20), what is x?

5

100

Find the median of the set of numbers: 1,2,3,4,5,6,7,8,9 and 10

5.5

200

What is 666.66 - 55.555?

611.105

200

If Joe and his friends are going to the theater, and each ticket costs 45$, how much money would it cost for Joe and a couple of friends?

$135

(Joe and a couple of friends = 2 Friends + Joe)

200

x2 - 4x + 2 + y2 - 4y + 2 = 4 : expand equation of first circle
x2 - 2x + 1 + y2 - 2y + 1 = 4 : expand equation of second circle
-2x - 2y - 6 = 0 : subtract the left and right terms of the above equations
y = 3 - x : solve the above for y.
2x2 - 6x + 1 = 0 : substitute y by 3 - x in the first equation, expand and group like terms.
(3/2 + √(7)/2 , 3/2 - √(7)/2) , (3/2 - √(7)/2 , 3/2 + √(7)/2) : solve the above for x and use y = 3 - x to find y.

x2 - 4x + 2 + y2 - 4y + 2 = 4 : expand equation of first circle
x2 - 2x + 1 + y2 - 2y + 1 = 4 : expand equation of second circle
-2x - 2y - 6 = 0 : subtract the left and right terms of the above equations
y = 3 - x : solve the above for y.
2x2 - 6x + 1 = 0 : substitute y by 3 - x in the first equation, expand and group like terms.
(3/2 + √(7)/2 , 3/2 - √(7)/2) , (3/2 - √(7)/2 , 3/2 + √(7)/2) : solve the above for x and use y = 3 - x to find y

It was a trick question!!! LOL

(You didn't actually have to answer the question, you just needed to read the question!)

200

Evaluate: |4 - 8(3 - 12)| - |5 - 11|

70

200

Find the median of the set of numbers:  21, 3, 7, 17, 19, 31, 46, 20 and 43

20

300

What is 3.33x 55.232 ?

3039.264


300

If Johnson spends 234$ on War Robots (A Video Game), what is that amount in euros? * Hint: 1 euro is 1.13 United States Dollars.* 

206.58 Euros

300

Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm.


x+ y + H = 60 : perimeter , x, y and H be the two legs and the hypotenuse of the right triangle
(1/2)xy = 150 : area
x2 + y2 = H2: Pythagora's theorem.
3 equations with 3 unknowns.
(x + y)2 - 2xy = H2 : completing the square in the third equation.
x + y = 60 - H : express x + y using the first equation and use the second equation to find xy = 300 and substitute in equation 5.
(60 - H)2 - 600 = H2 : one equation with one unknown.
Solve for H to find H = 25 cm. Substitute and solve for x and y to find x = 15 cm and y = 20 cm. 

300

Simplify: 12x3 - 3(2x3 + 4x -1) - 5x + 7

6x3 -17x + 10

300

The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13, 11, 7, 9, 19, 12, 11, 9, 7, 9, 10, 11

9

400

Max wants to buy some food for $3123.45, but he only has 55 cents times 478. How much more money does he need? 

$2860.55

400

Terrence is spending some money on Fortnite. He uses $5 on a starter pack, then he buys a 13500 deluxe pack for 1,906.90 Mexican Pesos. How much US money did he spend? *Hint: 1 US dollar is 19.07 Mexican Pesos

$105

400

Melissa has $352. She needs 6.66 x 102 more money. How much money exactly does Melissa need?

$815850



400

Simplify: (2x-3y4)3(x3 + y)0 / (4xy-2)3

(1/8)(y18 / x12)

400

The following numbers represent the ages of people on a bus: 3, 6, 27, 13, 6, 8, 12, 20, 5, 10. Calculate their mean of their ages

11

500

What is 654.321 ÷ 123.456?

5.30003402022

500

If Ben goes to Pizza Hut and decides to buy a lot pepperoni pizzas for $45, what is that number times 2 in degrees?

90°, or a right angle

500

Jerry has a sphere that has a radius of 1234567890987654321. He wants to know the volume of the sphere for a math project. What is the volume of the sphere? 

7.88 × 1054 
(788 × 1052)

(7880000000000000000000000000000000000000000000000000000)

500

Solve the equation for x : -0.25 x + 1.3 = -0.55 x - 0.2

-5

500

Find the mode from these test results: 17, 19, 18, 17, 18, 19, 11, 17, 16, 19, 15, 15, 15, 17, 13, 11

17

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