Arithmetic
Geometry
Algebra
base 10
Combinatorics
99
If a = 4.2 and b = 2 ½ what is the reciprocal of b/a expressed as a common fraction?
42/25
99
The area of an square is 81 cm2. What is the perimeter of the square?
36
99
You have 108 red balls and 180 green balls. The balls have to be packed in boxes in such a way that every box contains the same number of balls, and there are balls of only one color in every box. What is the smallest number of boxes that you need?
8
99
I am a two-digit number less than 20. My units digit is 3 more than my tens digit. What number am I?
14
99
A volleyball has 6 persons. How many ways can I array the players in the court in each of the 6 positions to start the game?
720
200
Avery, Bailey, Chiara, Dennis, and Estefany are in a single file line. Avery is after Chiara. Bailey is before Avery and just after Dennis. Dennis is before Chiara but he isn't the first person in line. Where is Estefany in the line?
1st
200
Four tangent congruent circles of radius 6 cm are inscribed in a rectangle. If P is a vertex and Q and R are points of tangency, what is the area of triangle PQR? 
108
200
There were a total of 48 birds in three different trees. At some moment, 5 birds flew away from the first tree, 7 flew away from the second tree, and 9 flew away from the third tree. Then there were the same number of birds in each of the three trees. How many birds were there in the second tree at the beginning?
16
200
In a two digit number the 10ths digit is 5 more than the units digit. The sum of the digits is 9. What is the number?
72
200
If each of the members of a 11 person committee shakes hands with every other member of the committee once, how many total handshakes will there be
55
300
A five-digit number whose digits are 24X8Y is divisible by 4, 5 and 9. What is the sum of the digits X and Y?
4
300
Fernando cut a square piece of paper, with a perimeter of 36 cm, into two rectangles. The perimeter of one of these rectangles was 24 cm. What was the perimeter of the other rectangle?
30
300
If a – 1 = b + 2 = c – 3 = d + 4 = e – 5, then which of the numbers a, b, c, d, e is the largest?
e
300
In a two digit number the 10ths number is twice as much as the units number. The number minus the sum of the digits is 72. What is the number?
84
300
The combination for opening a safe is a three digit number made up of different digits. The first digit of the combination cannot be zero. How many combinations for the safe can be made if exactly one of the digits must be odd? (Remember that the odd digit can be in any of the three positions).
260
400
Scarlitte’s class has between 30 and 41 students. Exactly 75% of the students in her class have red book bags, and exactly 1/6 of the students in her class do not have a book bag at all. How many students are in Scarlitte’s class?
36
400
A small square is inscribed in a big one as shown in the figure below. The bigger square has an area of 49 cm2. Find the area of the smaller square.
25
400
In a bag there are black and white marbles. If you select some of them with your eyes closed, you must grab 5 of them to be sure that at least one of them is black and you must grab at least 10 of them to be sure both colors are among the marbles you selected. How many marbles are in the bag?
13
400
The sum of the digits of a two-digit positive integer is 8. If 26 is added to the number, the digits swap places. What is the original number?
26
400
How many numbers upto 1000 are multiples of 4 but not multiples of 5?
200
500
Janet calculated the value of the expression
2026 – 2025 + 2024 - 2023 ... - 5 + 4 - 3 + 2 -1,
and Chris calculated the value of the expression
2025 -2024 + 2023 - 2022+ 2021 + ... - 4 + 3 -2 + 1.
What is the sum of the values they each obtained?
2026
500
A person walks 6 miles south , takes a 90 degrees left , then walks for 10 miles, then takes a 90 degrees left and walks 10 miles. What is the distance (in a straight line) from the starting point to the end point?
2sqrt(29)
500
If x is a number strictly between 0 and 1, which of the following will always result in the largest value?
A) x - 1 B) x C) 1/x D) 3x-4 E) x/2
C
500
A three digit number is written as x6y, where x and y are digits. If I subtract 198 from the number, it becomes y6x. The sum of the digits in the number is 12. What is the value of the 3 digit number?
462
500
The number 456 is special because is a three digit number in which the middle number is the average of the 1st and 3rd. How many numbers are special this way?
45