Mystery
A recipe for Thanksgiving cookies contains cinnamon, cloves, and nutmeg in the ratio of 3:4:2. Priscilla made a large batch that called for 24 teaspoons of cloves. How many tablespoons of cinnamon should she use?
18 tbsps of cinnamon
When 48% is written as a fraction and then reduced to lowest terms, what is the value of the new denominator?
the denominator is 25 (the fraction is 12/25)
Find the sum of all of the composite numbers between 37 & 47
294
128 degrees
If X=11 and Y=-4 and Z=5
What is the value of 3Z - 7Y +8X?
131
Larry and his daughter went for a walk. She took 3 steps for every 5 steps that he took. In all, they took a total of 1296 steps. Larry took how many more steps than his daughter?
Larry took 324 more steps
6 values
(J=22, 23, 24, 25, 26, 27)
Jacqueline watches the TV sitcom "The Big Bang Theory" every 12 days. She watches "Cosmos" every 18 days and "Scorpion" every 28 days. If she watched all three shows on a Tuesday, on what day of the week will she next watch all three shows?
Assume that all shows are aired every day of the week.
Tuesday.
The perimeter of square A is 2/3 of the perimeter of square B, and the perimeter of square B is 2/3 of square C. If one side of the square A is 4 centimeters, then how many square centimeters is the area of square C?
81
Mutt and Jeff live 100 miles apart. Each rides a bicycle toward the other's house along a straight road connecting the two.
Mutt pedals at a constant rate of 8 miles per hour (mph) while Jeff pedals at a constant rate of 12 mph.
If Mutt and Jeff leave their house at the same time, then how many miles are they from Jeff's house when they meet?
60 miles from Jeff's house
Three consecutive whole numbers have a sum of 141. If five times the largest of the three numbers is added to half of the smallest and twice the middle number, then what is the total?
357
Evan spent 2/9 of his year's allowance on gifts for his family and friends and 1/5 on items for himself. He put the rest into his savings account at the bank. If he saves $468, then how many dollars was his yearly allowance?
$810
What is the smallest number divisible by five different prime numbers?
2310
Three lines intersect at a common point. Angles 4 and 6 are complementary. Angle 3 measures 78 degrees. How many degrees are in the measure of angle 2?
90
What is the value of C to make the following equation true:
17-3C=5(1-C)-3(4-2C)
C=6
A rectangle can be separated into two separate regions by using one straight line, as in the example below. (*draw example on board*)
What is the largest number of regions into which a rectangle can be separated by using exactly three straight lines?
7
Connor paid $28.14 for a science kit, including a 5% sales tax. How many dollars was the tax?
Express your answer as a decimal.
$1.34
Consider these factorizations:
C=2 x 3^2 x N
D = 2^2 x 5 x N^2
If all the lettered values are positive integers, and D = 1620, what is the value of C?
162
The area of square ABFE is 25 square feet. The area of triangle BFC is 10 square feet. The measure of angle D in triangle CDE is 45 degrees. How many feet are in the length of segment AD?
14 feet
There are three positive integers, such that one is four more than another, while the third is twice the sum of the other two. The sum of all three integers is 54. What is the largest of the three integers?
The largest of the integers is 36.
6 ## 4 = 210
9 ## 2 = 711
8 ## 5 = 313
5 ## 2 = 37
7 ## 6 =113
9 ## 8 = 117
10 ## 6 = 416
15 ## 2 =1218
What is the value of 23 ## 8?
1531
C :) D is defined to be equal to (1/C - 1/D)/(1/C + 1/D).
Find the value of 8 :) 12.
Express the fraction in lowest terms.
1/5
X is divisible by 3
X has an odd number of fractions
X is divisible by 4
What is the sum of all possible values of X between 1 and 1000?
1980
36 + 144 + 324 + 576 + 900
The three horizontal lines are parallel. Angle H measures 117 degrees. Angle JMP is trisected. How many degrees are in angle XMT?
141.
If 2E+3H=21 and 4M-J=-31 then what is the value of 8E+12H-(8M-2J)+7
153