Repeating Decimals into Fractions
Pythagorean Theorem
Algebra
Geometry
Statistics and Probability
100

Write as a fraction, where the 7 is repeating

20.17

20 8/45

100

The areas of the squares adjacent to two sides of a right triangle are shown below.

A=22 B= ? C= 33

Using the equation A2+ B2= C2

What is the area of the square adjacent to the third side of the triangle?

11 units2

100

(x4 / x3)3

x3

100

There are two angles that are supplementary angles the measurement of one angle is 7b + 15 and the other angle is 3b+25

What is the value of b.  

b=14

100

In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high blood pressure, a high level of cholesterol or both. If 15 have high blood pressure and 25 have high level of cholesterol, how many people have high blood pressure and a high level of cholesterol?

10 people have a high blood pressure or level of cholesterol.

200

Write as a fraction, where the 8 is repeating

7.18

7 17/90

200

Find the value of A in the triangle shown below.

A = ?

B = 8

C = 9

A = Square root of 17

200

11 + sqrt(-4 + 6×4÷3)

13

200

A conical cup with 27 cm in height and 16 cm across the top is full with water. If the water is going to be transferred into a cylindrical container of radius 6 cm, what height will the water reach?

16 cm

200

Of a pool of 9 coins, where there’s 6 dimes and 3 quarters, what is the probability of just selecting dimes when randomly picking 4 coins?

The probability of selecting 4 dimes = 360 3024 = 0.1190

300

Write as a fraction, where 2 and the 5 are both repeating

1.625 

1 619/990

300


What is the distance between the two points?

Square root of 95.


300

Simplify 

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

6x3−17x+10

300

What is the volume of a sphere with a radius of 5? Your answer should be in terms of pi.

2000/3 *pi

300

There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red.

35/132 chance that the first marble is green and that the second one is red.

400

Write as a fraction in simplest form, where 8 is repeating.
45.78

45 71/90

400


Solve for x 

X= Square root of 48


400

(3x2y-2)3 / (9xy3)3

x3/27y15

400

Find the surface area of a triangular prism with a height of 8, a base of 15 and a width of 10.

440 units2

400

In a well shuffled deck of 52 cards, what is the probability of getting a king or a queen card? Make sure to simplify.

8/52= 4/26. The chance of getting a king or queen card is s 4/26 chance.

700

Find the determinant of the numbers 

|22 6|

|4  8|
 
 

152

700

Find the missing number when the determinant is 7 

|?  5|

|1  4| 

3

700

Find the missing number when the determinant is 2

|9  ?|

|5  3|

5

700

What is the determinant 

|5  2  7|

|8  4  2|

|0  8  3|

380

700

what is the determinant 

|8  0  3|

|6  7  2|

|-3  8 -4|

-145

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