Algebra
Geometry
Counting and Probability
Number Theory
Trivia!
100
What is the hundreds digit of (20!-15!)
0
100
In triangle ABC, AB=BC=20, and AC = 42. What is the area of triangle ABC?
420
100
A group of children riding on bicycles and tricycles rode past Billy Bob's house. Billy Bob counted 7 children and 19 wheels. How many tricycles were there?
5
100
The digits 1, 2, 3, 4 and 9 are each used once to form the smallest possible even five-digit number. What is the digit in the tens place?
9
100
What number does not have a Roman numeral of its own?
0
200
The ratio of w to x is 4:3, the ratio of y to z is 3:2, and the ratio of z to x is 1:6. What is the ratio of w to y?
16:3
200
What is the measure, in degrees, of the acute angle formed by the hands of the clock at 4:20 PM?
10
200
The Little Twelve Basketball Conference has two divisions, with six teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?
96
200
The number 64 has the property that it is divisible by its unit digit. How many whole numbers between 10 and 50 have this property?
17
200
Found naturally in pinecones and sunflowers, the spiral arrangement of structures and seeds follow this geometric sequence.
The Fibonacci Sequence
300
Driving along a highway, Megan noticed that her odometer showed 15951 (miles). This number is a palindrome-it reads the same forward and backward. Then 2 hours later, the odometer displayed the next higher palindrome.
What was her average speed, in miles per hour, during this 2 hour period?
55 mph
300
Isosceles right triangle ABC encloses a semicircle of area 2*pi. The circle has its center O on hypotenuse AB and is tangent to sides AC and BC. What is the area of triangle ABC?
8
300
How many whole numbers between 99 and 999 contain exactly one 0?
162
300
How many zeros are at the end of the product 25x25x25x25x25x25x25x8x8x8?
9
300
This ancient civilization used a base-60 number system, which is why we have 60 seconds in a minute and 360 degrees in a circle.
Babylon
400
Loki, Moe, Nick and Ott are good friends. Ott had no money, but the others did. Moe gave Ott one-fifth of his money, Loki gave Ott one-fourth of his money and Nick gave Ott one-third of his money. Each gave Ott the same amount of money. What fractional part of the group's money does Ott now have?
1/4
400
Toothpicks are used to make a grid that is 60 toothpicks long and 32 toothpicks wide. How many toothpicks are used altogether?
3932
400
At a party there are only single women and married men with their wives. The probability that a randomly selected woman is single is 2/5. What fraction of the people in the room are married men?
3/8
400
How many positive three-digit integers have a remainder of 2 when divided by 6, a remainder of 5 when divided by 9, and a remainder of 7 when divided by 11?
5
400
This Greek mathematician is said to have shouted "Eureka!" after discovering how to measure volume using water displacement.
Archimedes
500
You have nine coins: a collection of pennies, nickels, dimes, and quarters having a total value of $1.02, with at least one coin of each type. How many dimes must you have?
1
500
Four distinct points are arranged on a plane so that the segments connecting them have lengths a,a,a,a,2a, and b. What is the ratio of b to a?
√3
500
Samantha lives 2 blocks west and 1 block south of the southwest corner of City Park. Her school is 2 blocks east and 2 blocks north of the northeast corner of City Park. On school days she bikes on streets to the southwest corner of City Park, then takes a diagonal path through the park to the northeast corner, and then bikes on streets to school. If her route is as short as possible, how many different routes can she take?
18
500
Barry wrote 6 different numbers, one on each side of 3 cards, and laid the cards on a table. The face up sides of the cards say 44, 59, and 38. The sums of the two numbers on each of the three cards are equal. The three numbers on the hidden sides are prime numbers. What is the average of the hidden prime numbers?
14
500
This German mathematician is credited with discovering the formula for summing n consecutive numbers, supposedly when he was in elementary school and his teacher gave the class the busy work of summing the first 100 natural numbers.
Carl Gauss