1. I am a number that is greater than any number below 10. If you multiply me by any other number, the product is always equal to me. What number am I?
Answer: 1 (1 x any number = 1)
2. I am an odd number. If you subtract me from a multiple of 10, you will get an even number. What number am I?
Answer: 1 (10 - 1 = 9, an odd number)
3. I am a three-digit number. If you reverse my digits, subtract the original number from the reversed one, and divide the result by 9, the quotient will always be 11. What number am I?
Answer: 396 (693 - 396 = 297, 297 รท 9 = 33)
4. I am a fraction. If you add me to my reciprocal, the sum is 2. What fraction am I?
Answer: 1/3 (1/3 + 3/1 = 10/3, which simplifies to 2)
5. I am a shape with five sides. If you multiply the number of angles I have by the measure of each angle, the product is 540 degrees. What shape am I?
Answer: Pentagon (5 angles x 108 degrees = 540 degrees)
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