Exponents & Factorials
Misc.
Geometry
Problems With Names
Misc. 2
100
Evaluate 54 − 43 − 32 − 21 − 10.
549
100
Jamie counted the number of edges of a cube, Jimmy counted the numbers of corners, and Judy counted the number of faces. They then added the three numbers. What was the resulting sum?
26
100
How many triangles are in this figure? 
5
100
Emily spelled each word on a 20-word spelling test. She earned 5 points for each word spelled correctly. Three points were subtracted for each word spelled incorrectly. Emily earned a score of 68. How many words did Emily spell incorrectly?
4
100
Each of the twenty dots on the graph below represents one of Sarah's classmates. Classmates who are friends are connected with a line segment. For her birthday party, Sarah is inviting only the following: all of her friends and all of those classmates who are friends with at least one of her friends. How many classmates will not be invited to Sarah's party?
6
200
What is the value of (11!-10!)/(9!)
100
200
The ten-letter code BEST OF LUCK represents the ten digits 0-9, in order. What 4-digit number is represented by the code word CLUE?
8671
200
In rectangle 
, 
and 
. Point 
is the midpoint of 
. What is the area of 
?
12
200
Shauna takes five tests, each worth a maximum of 100 points. Her scores on the first three tests are 76 , 94 , and 87. In order to average 81 for all five tests, what is the lowest score she could earn on one of the other two tests?
48
200
Candy sales from the Boosters Club from January through April are shown. What were the average sales per month in dollars?
$80
300
Let a, b, c, and d be real numbers such that a2 + b2 + c2 + d2 = 3a + 8b + 24c + 37d = 2018. Evaluate 3b + 8c + 24d + 37a.
1215
300
The arrows on the two spinners shown below are spun. Let the number 
equal 
times the number on Spinner 
, added to the number on Spinner 
. What is the probability that is a perfect square number?
1/8
300
Square corners, 5 units on a side, are removed from a 
unit by 
unit rectangular sheet of cardboard. The sides are then folded to form an open box. The surface area, in square units, of the interior of the box is
500
300
Meredith drives 5 miles to the northeast, then 15 miles to the southeast, then 25 miles to the southwest, then 35 miles to the northwest, and finally 20 miles to the northeast. How many miles is Meredith from where she started?
20 miles
300
Find the maximum possible value obtainable by inserting a single set of parentheses into the expression 1 + 2 × 3 + 4 × 5 + 6.
77
400
Find the greatest integer n such that 10^n divides 210^552^10/105^2
999
400
Consider the operation 
defined by the following table:
For example, 
. Then 
4
400
The rectangle shown has length 
, width 
, and 
and 
are midpoints of 
and 
, respectively. The area of quadrilateral 
is
320
400
Ali, Bonnie, Carlo, and Dianna are going to drive together to a nearby theme park. The car they are using has 4 seats: 1 Driver seat, 1 front passenger seat, and 3 back passenger seat. Bonnie and Carlo are the only ones who know how to drive the car. How many possible seating arrangements are there?
12
400
A jar contains one quarter red jelly beans and three quarters blue jelly beans. If Chris removes three quarters of the red jelly beans and one quarter of the blue jelly beans, what percent of the jelly beans remaining in the jar will be red?
10%
500
If n is an even positive integer, the double factorial notation n!! represents the product of all the even integers from 2 to n. For example, 8!! = 2*4*6*8. What is the units digit of the following sum?
2
500
Find the least positive integer with the property that if its digits are reversed and then 450 is added to this reversal, the sum is the original number. For example, 621 is not the answer because it is not true that 621 = 126 + 450.
1501
500
If the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by how much?
80%
500
Mr. Harman needs to know the combined weight in pounds of three boxes he wants to mail. However, the only available scale is not accurate for weights less than 100 pounds or more than 150 pounds. So the boxes are weighed in pairs in every possible way. The results are 122, 125 and 127 pounds. What is the combined weight in pounds of the three boxes?
187
500
Of 450 students assembled for a concert, 40 percent were boys. After a bus containing an equal number of boys and girls brought more students to the concert, 41 percent of the students at the concert were boys. Find the number of students on the bus.
50