Problem #1
If the median of a set of five consecutive integers is equal to 10, find
S = 1 + 2 + 3 + ... + n, which
n is the smallest integer among those three integers.
Problem #2
If x + 3 = y and also y + 2y - 4 = y + 4, then find the value of x
3.
Problem #3
Roll a dice 2 times. Let
x be the number that show in the first time and
y be the number that show in
the second time. What is the probability of
x + y= 4?
Problem #4
The ratio of a rectangle length to its width is 2:1. If the area of the rectangle is 18 then find the
perimeter of the rectangle.
Problem #5
Let |m - 1| = n and n
2 - n - 4 = n - 1 then find m + n.
Problem #6
The average of 20 numbers is 10, if one of them is 1. What is the average of 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 $500. If someone buys 10 TV at one time, it would give 10% discount on each TV.
What is the wholesale price of 10 TV after discount?
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
According to the figure, which of the following is true? (
m1 and
m2 are the value of the slope of line 1 and 2 )
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
and
, then what is the value of
a in terms of
b ?
Problem #13
Sarah runs
x miles every week. If she looses
y calories for every miles 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 is 3 times more than Y. Find X+Y.
Problem #15
Find the slope of line which passes through points (1, 3) and (x, 3).
Problem #16
Bob wants to paint a cylinder. Each
cm2 would cost $1 for him to paint. If radius of cylinder is 3 meters, and its height is
h meters. How much he has to pay in terms of
h?
Problem #17
What is the sum of the internal angles of a pentagon?
Problem #18
Roll a dice and flip a coin one time. What is the probability that dice shows 6?
Problem #19
If a segment with a slope of
m passes through point (1, 2) and (2, 1). What is the value of
m2?
Problem #20
If
ab = 3 and
b = -⅓ then what is the value of
a2b?
First Grade Tests
Division Test