Problem #1

If the median of a set of five consecutive integers is equal to 10, find

*S = 1 + 2 + 3 + ... + n*, where

*n* is the smallest integer among those three integers.

Problem #2

If x + 3 = y and y + 2y - 4 = y + 4, find the value of x

^{3}.

Problem #3

Two dice are rolled. What is the probability the sum to be 4?

Problem #4

The ratio of the sides of a rectangle is 2:1. The area of the rectangle is 18. Find its perimeter.

Problem #5

Let |m - 1| = n and n

^{2} - n - 4 = n - 1. Find m + n = ?

Problem #6

The average of 20 numbers is 10 and one of them is 1. What is the average of the other nine numbers?

Problem #7

If a + b = 3 and a

^{2} + b

^{2} = 17, what is the value of

*ab*?

Problem #8

A store sells each TV for $500. If someone buys 10 TV, he would get 10% discount for every TV.

What is the wholesale price of 10 TV?

Problem #9

If x + y = 2 and x - y = z - 1, what is the value of x

^{2} + y

^{2} in terms of z?

Problem #10

The slopes of line 1 and line 2 are

*m*_{1} and

*m*_{2} respectively.

Select the correct statement.

Problem #11

If the multiply if three consecutive positive integer is equal to

*3n*, which

*n* is the second number, what is the sum of these three integers?

Problem #12

If [tex]a=\frac{2b}{\sqrt{c}}[/tex] and [tex]c=b\sqrt{2}[/tex], what is the value of

*a*?

Problem #13

Sarah runs

*x* miles every week. She looses

*y* calories for every mile she runs, and she runs the same distance every day. How much calories she looses everyday in terms of

*x* and

*y*?

Problem #14

X is 20 years older than Y. After 5 years X's age will be 3 times more than Y. Find X + Y.

Problem #15

Find the slope of a line which passes through points (1, 3) and (x, 3).

Problem #16

Bob wants to create a cylinder. Each

*cm*^{2} costs $1. The radius of the cylinder is 3 meters, and its height is

*h* meters. How much does he have to pay in terms of

*h*?

Problem #17

What is the sum of the internal angles of a pentagon?

Problem #18

A dice is rolled. What is the probability to shows 6?

Problem #19

If a segment with a slope of

*m* passes through points (1, 2) and (2, 1), what is the value of

*m*^{2}?

Problem #20

If [tex]ab = 3[/tex] and [tex]b = -\frac{1}{3}[/tex], what is the value of [tex]a^2b[/tex]?