Challenge Exercises for Number Theory
Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. Do not enter commas in your answers. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.
1. |
One rectangular rug has an area of 24 square yards. Another rectangular rug has an area of 90 square yards. If you examine all whole-number dimensions each rug can have, what is the largest possible dimension common to both rugs?
|
2. |
A school hallway has a long row of lockers. Every sixth locker contains a package of chewing gum, every eighth locker contains a mirror, and every ninth locker contains a hockey stick. What is the first locker that contains all three items?
|
3. |
Name one prime number from 70 and 79.
|
4. |
The number 279 is composite. Name a number other than 1 and itself that is a factor of 279.
|
5. |
Which number is divisible by 4? 386, 418, 568, 694
|
6. |
Which number is divisible by 6? 496, 246, 589, 634
|
7. |
Write twelve squared in standard form.
|
8. |
Write eight cubed in standard form.
|
9. |
The numbers 1, 7, 49, 343, … are each powers of 7. What is the next number in the list?
|
10. |
If two raised to the eleventh power is 2,048, then what is two raised to the twelfth power?
|