Mystery
I have $289 but I need a total of $2016. I sold some of my things on eBay and received $327. How much more do I need? Express your answer as a whole number of dollars.
Angle AFC is a right angle. Angle BFC measures 38 degrees. How many degrees are in the measure of the supplement of angle AFB?
(2017)
128
The number 18 has six factors. Three of these are 1, 2, and 6. What is the sum of the other three factors?
30
What is the value of
75 - 3 (58 - 39) + 4 . 82
274
If X = 11, and Y = -4 and Z = 5, then what is the value of 3Z - 7Y + 8X?
131
The letters in this sequence are repeated according to the following pattern:
O C T O B E R O C T O B E R O C T ...
What is the 226th letter in the sequence?
C
Angle B measures 112 degrees. Angle A has the same measure as angle BCA. How many degrees are in the measure of angle BCD if it is less than 180 degrees?
146
What is the sum of all the prime numbers between 40 and 60?
243
The stem and leaf plot below indicates how many passes that New England Patriots quarterback (UGH..sad!), Tom Brady, completed for touchdowns during his past 17 regular seasons, excluding playoffs and Super Bowls. The number in the left-hand column is the tens digit. The number in the right-hand column is the units, or ones digit. What is the mean number of touchdown passes per season that Tom Brady threw over the course of his 17 regular seasons? Round your answer to the nearest whole number. Include the two seasons when Tom di not complete any passes
(2017)
27
If 3W+7=34 and 5A - 9 = -39, then what is the value of -2WA?
108
C and T are two whole numbers whose sum is 20 and whose product is 36. C is greater than T. What is the value of C - T?
16
Three lines intersect at a common point. Angle 4 and 6 are complementary. Angle 3 measures 78 degrees. How many degrees are in the measure of angle 2?
(2017)
90
The sum of the composite numbers between 140 and 160 is how much greater than the sum of the prime numbers between 140 and 160? "Between 140 and 160" does not include the numbers 140 and 160.
1936
Using the standard order of operations, find the value of
1+23{4+5[6-7(8-9)]}
553
What value of W makes the following equation an identity?
2 (5x+3W) = 7x+3(x+8)
4
A whole number has the following properties:
-Its digits are only twos and threes.
-It contains at least one two and one three.
-It is divisible by both two and three.
What is the smallest number it could be?
Angle 1 is the complement of angle 2. MATH is a rectangle. Angle 3 measures 57 degrees. How many degrees are in the measure of angle NLT?
(2016)
147
A has an odd number of factors.
A is divisible by 3.
A > 20
A < 70
What is the value of A?
36
The arithmetic mean of 17, 26, 42, and 59 is equal to the arithmetic mean of 19 and N. What is the value of N?
53
What value of X makes the following equation true?
3(2X-5) - 2(4X-7) = 3X - 25 - 11X
-4
Five straight lines are painted onto a rectangular soccer field, separating members of a soccer team into their own spaces one player per space. What is the greatest number of players that can be on this soccer team?
16
(2017)
141
If A, B, and C are prime numbers, and A > B > C, then how many different factors does the product ABC have?
8
In preparation for handing out candy at Halloween. Frank bough forty 30-cent candy bars, X 50-cent candy bars, and fifteen 75-cent candy bars. If the median cost of all the candy bars is 50 cents, and X is a whole number, then what is the smallest possible value of X?
26
If the following expression simplifies to Ax + By, then what is the value of 10A - 9B?
5(4x+y) - 7(2x+3y) - 6(x-8y)
-288