Algebra
Geometry
Ratios and Proportions
Statistics and Probability
Miscellaneous
Extra Hard (500 points each)
100
4^4+5^4=
4^4=4*4*4*4=256
5^4=5*5*5*5=625
256+625=881
100
The formula for the surface area of a sphere is 4pir^2 . What is the surface area for a sphere with a diameter of 10 cm? Leave your answer in terms of pi
d = 10 cm, r = 5 cm
4pi(5)^2=4pi(25)=100pi
100
The ratio of girls:boys at a school is 3:2. If there are 81 girls at the school, how many students are there?
3/2=81/b
81/3=27
b=2*27=54
students = 81 + 54 = 135
100
What is the interquartile range for the data set:
9, 0, 1, 5, 6, 7, 10, 12, 1, 10, 10
Rearrange in numerical order first
0, 1, 1, 5, 6, 7, 9, 10, 10, 10, 12
11 values --> median 6th value --> 7
Q1 = median of 1, 1, 1, 5, 6 = 1
Q3 = median of 9, 10, 10, 10, 12 = 10
IQR = Q3 - Q1 = 9
100
If the price of a pair of shoes increases from $80 to $400, what is the percent change?
(400-80)/80*100=320/80*100=400%
100
The figure below is part of a circle with a slice cut out. What is the perimeter of the figure below?
Circumference =
2pir
Perimeter =
(240)/360*2pi(12)+ 2(12)
(2/3)(2pi)(12)+24
16pi+24
200
Simplify:
5^0-2abs(-3-5)+2^-1
1-2abs(-8)+1/2
1-2(8)+1/2
1-16+0.5
-14.5
200
Lines m and n are parallel lines. Find the measure of angle x.
x = 48
200
Magnus is creating a juice cocktail using pineapple, orange and apple juice. The amount of pineapple is 4 times the amount of orange juice. The amount of apple juice is 1/3 the amount of orange juice. What is the ratio of apple juice to pineapple juice?
P:O = 4:1 = 12:3
A:O = 1:3
Ratio of A:P = 1:12
200
The Box plot below displays the results of a chemistry test. The number of students who took the test was 32. How many students received a score of at least 70?
75% of students received a 70 or higher = 0.75 x 32
= 24
200
What is the largest possible integer solution for x in the inequality: x + 2 < -3.1
x+2<-3.1
x<-5.1
So x must be less than -5.1 and the largest possible integer solution would be -6
ANS: -6
200
What is the value of k in the equation:
(x-k)^2=4x^2-6x+9/4
(2x-k)(2x-k)=4x^2-2xk-2xk+k^2
4x^2-4xk+k^2=4x^2-6x+9/4
k^2=9/4
k=3/2
300
Solve for x:
2(x+5)-3(x-1)=8x-5
2(x+5)-3(x-1)=8x-5
2x+10-3x+3=8x-5
-x+13=8x-5
18=9x
x=2
300
The time on a clock similar to the one below is 2 pm. 2.5 hours later, it is 4:30 pm. How many degrees does the hour hand rotate from 2 pm to 4:30 pm?
360 degrees / 12 hours = 30 degrees per hour
2.5 hours x 30 = 75 degrees
300
The points W, X, Y and Z are on a number line. The ratio of WX: XY:YZ is 2:2:5. What is the length of WZ?
2 + 2 + 5 = 9 parts
WX = 12 units which is equivalent to 2 parts
1 part is half of 12 = 6 units
9 parts = 9 * 6 = 54 units
300
x is a real, integer such that 7<sqrtx<11 , what is the largest possible value for x?
7<sqrtx<11
sqrt49<sqrtx<sqrt121
Since x is an integer, largest possible x = 120
300
sqrt240 is immediately between which 2 integers?
122 = 144
132 = 169
142 =196
152 = 225
162 = 256
ANS: Between 15 and 16
300
Solve for x in the equation:
1-2/x=x/(x+5)
1-2/x=x/(x+5)
(1-2/x=x/(x+5))(x)(x+5)
x^2+5x-2(x+5)=x^2
x^2+5x-2x-10=x^2
3x-10=0
x=10/3
400
(2x-6)/x-(x-1)/x=6
(2x-6)/x-(x-1)/x=6
(2x-6)/x-(x-1)/x=6
(2x-6-x+1)/x=6
(x-5)/x=6
x-5=6x
-5=5x
x=-1
400
Trapezoid (ABCD) is graphed on the coordinate plane and has the 4 vertices (corners). What is the area of the trapezoid?
Point A (-4,2)
Point B (-2,5)
Point C (3,5)
Point D (3,2)
Area trapezoid =
1/2(b1+b2)(h)
1/2(7+5)(3)=1/2(12)(3)
18
400
DOUBLE JEOPARDY - wager your points up to 1000 points
Circle A has a radius that is 2.5 times the radius of Circle B. If Circle B has an area of 40 inches2, what is the area of circle A?
400
The Box plot below displays the results of a chemistry test. The number of students who took the test was 32. What is the mean test score? 
Cannot be determined. We don't know the exact values of the test scores or the sum, so we cannot calculate the mean
400
If M = x/y and N = a/b then what is
(2M)/N
(2M)/N=(2x/y)/(a/b)=(2x)/y*b/a=(2xb)/(ay)
400
Solve for a and b in given the following equations:
3^a*3^b=9 and 2^a/2^b=64
3^a*3^b=9 and 2^a/2^b=64
3^(a+b)=3^2 and 2^(a-b)=2^6
a+b=2 and a-b=6
a=4 and b = -2
500
Draw the number line that would be the solution to this inequality:
-3(x+2)-10<2
-3(x+2)-10<2
-3x-6-10<2
-3x-16<2
-3x<18
x> -6
500
Luffy's mouth is in the shape of a semisphere and has a radius of 6 inches. The formula for the volume of a sphere 4/3pir^3 . Luffy is attempting the fluffy bunny challenge and stuffing marshmallows into his mouth. Assuming each marshmallow has a volume of 20 in3 when compressed, how many marshmallows can Luffy fit in his mouth? Use 3.14 for pi .
ANS: 22
Area of sphere =
4/3(3.14)(6^3)=904.32
Area of semisphere
904.32/2=452.16
452.16/20=22.6
500
In a candy jar, there are 42 pieces of candy of which 15 are chocolate. After Julius eats some of the chocolates, 1/4 of the candy are chocolates. How many chocolates did Julius eat?
(15-x)/(42-x)=1/4
4(15-x)=1(42-x)
60-4x=42-x
18=3x
x=6
500
Draw the number line that would be the solution to this inequality
-3(x-1)+6<10
-3x+3+6<10
-3x+9<10
-3x<1
x> -1/3
500
What is the inequality that represents the number line below?
Filled in circle at -3 and less than -3
x < -3
Open circle at 6 and more than 6
x > 6
x < -3 OR x > 6
500
If the letters in the word Mississippi are rearranged, how many different combinations are possible?
If order matters then combinations = 11!
With 2 i's, divide by 2
With 4 s's, 24 combinations that are really 1
With 4 i's, 24 combinations that are really 1
Total combinations =
(11!)/(24*24*2)
ANS: 34,650