Mystery
Sixteen dots are arranged so that the distances between any two consecutive points, horizontally or vertically, are equal. The outer set of dots forms a square. How many squares, in all, are formed by sing only the points of this grid as vertices (corners)?
20
How many inches longer is the circumference of a circle of radius=20 inches than a circle of radius=10 inches? Use pi=3.14
62.8
Consider the sequence 7 10 13 16 19...where 7 is the value of the first term, 10 is the value of the second term, and so on. What is the value of the 30th term?
94
Catherine purchased a new Tesla automobile for $78,420. When she registered the car at the DMV, she paid a sales tax of 6%. How much money did Catherine pay in sales tax?
$4705.20
At a certain time of day, a 150-foot tall tree casts a 60-foot long shadow onto the ground. How many feet long is a shadow cast by the 555-foot tall Washington Monument at the same time of day?
2,220
What is the maximum (greatest) number of points of intersection that a circle and a regular 714-sided polygon can share?
1428
The radius of this circle is 12 units. The central angle is a right angle. How many units long is minor arc AB? Use pi=3.14
18.84
Find the value of the 438th term of the following arithmetic sequence.
63 70 77 84 91
3122
Li-Mei folds a rectangular sheet of normal-sized paper in half, lengthwise, and then again in half but in the opposite direction. It is said that no normal-sized sheet of paper can be folded in the manner more than six times. Assume that Li-Mei is able to make six folds. The surface area of the resulting rectangle is what percent of the surface area of the original paper? Round your answer to the nearest tenth of a percent?
1.6
Tom completes of every five that he throws. In an average football season, Tom throws 465 passes. How many passes does he fail to complete?
186
Farmer Fred wants to make a fenced-in goat pen in the shape of a rectangle that measures 136 feet by 296 feet. Each section of fence is eight feet long. Fred must first place a post into each of the four corners of the pen. The rest of the posts must be placed in a straight line on each of the four sides of the pen, eight feet apart. Posts cost $12 each and every section of fence costs $28. Including a 6% sales tax on the materials, what is the total cost of the goat pen?
$4,579.20
Angle O is a right angle. The radius of circle O is 8 centimeters. How many square centimeters are in the area of the shaded region? Use pi=3.142. Round your final answer to the nearest tenth.
50.3
If today is February 12 and Sabatino is exactly 633 months old, in what month was Sabatino born?
Jason can run an average of 100 yards in 18 seconds. If he can maintain this pace, how many minutes would it take for him to run two miles. There are 1760 yards in a mile.
10.56
19
Mark's age is 5/8 of Liz's age. Liz's age is 2/5 of Steve's age. If the sum of Mark's age and Liz's age is 65 years, then how many years old is Steve?
100
In circle O, angle OCD measures 17 degrees. How many degrees are in major arc CED?
214
Below are seven terms of a geometric sequence. What is the value of A + B + C? Express your answer as a decimal.
8 12 18 A B C 91.125
128.25
The formula for compound interest is A=P(1+r)t provided that
P=the principal, or amount invested
r=the annual (yearly) rate at which the principal is invested
t=the amount of time, in years, that the money is invested
A=the total amount of money, including the principal and the interest. Saul found his great-grandfather's bank book in a box in the attic. His savings account on February 14, 1928 had a balance of $7.12. Assuming an average rate of 5% over the course of time, how many dollars is the savings account worth on February 14, 2014? Round your answer to the nearest dollar.
473
The sum of five consecutive odd integers is 685. What is the product of the smallest and largest of these five numbers?
18,753
Let X be a non-integer that lies between A and G. Between which two consecutive named points is the value of x3 the smallest? Give your answer as two consecutive letters in alphabetical order.
AC is the diameter of circle O.
AC=DC
AB=9 feet
BC=40 feet
How many square feet are in the area of quadrilateral ABCD? Round your final answer to the nearest whole number.
600
Find the sum of the first 826 terms of the following arithmetic sequence:
78 87 96 105 114
3,130,953
Early in the race, Jen and Berry were running at hte same speed. Berry then increased her speed by 20% while Jen increased her speed by only half as much. Berry is now running at 60 spans per second. How many spans per second is Jen running now?
55
Three zebras and give elephants weigh a total of 1307 stones. Four zebras and two elephants weigh a total of 758 stones. If one stone =20 pound, then one elephant weighs how many pounds more than one zebra.
2,540