Problem #1
The average of three numbers is 6. Let the first number be increased by 1, the second by 2, and the third by 3. What is the average of the set of increased numbers?
Problem #2
The month of January has 31 days. Suppose January 1 occurs on Monday. What day of the week is February 22 of the next month?
Problem #3
The set of stairs (see below) is constructed by placing layers of cubes on top of each other. What is the total number of cubes contained in the staircase?
Problem #4
When a counting number is multiplied by itself, the result is a square number. Some examples of square numbers are 1, 4, 9. How many square numbers between 1 and 100?
Problem #5
The product of two whole numbers is 10,000. If neither number contains a zero digit, what are the two numbers?
Problem #6
Of three numbers , two are 1/2 and 1/3. What should the third number be so that the sum of all three is 1?
Problem #7
The four-digit number A55B is divisible by 36. What is the sum of A and B?
Hint: A number is divisible by 36 if it is divisible by 9 and 4 (so it is even)
What makes these geometry problems so interesting (and 'hard') is that only elementary geometry is allowed (no trigonometry). Like, basic rules about parallel. help me with math
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