NOTE: Newest BTs in red, Bonuses in blue, comments in green, updates in purple.
- Simplify: (2 + 0 + 2 + 2)2 – (2 – 0 – 2 – 2)2 + 20 – 22
- When could it believably be said that 8 + 8 = 4? (Suspect there may be multiple answers?)
- 9,811,438,761 divided by 9 leaves what remainder?
- A board 2.5 meters long is divided into ten equal pieces. How long – in centimeters – is each piece?
- Two different prime numbers are selected at random from among the first ten primes. What is the probability that their sum is 24? (Express your answer as a fraction.)
- Too easy? Merry Christmas! 😊
- Find the least common multiple of 10, 15, and 18.
- How many distinct rearrangements are there of the word “MATH”?
- You have 628 cm. of string, which you may form into either a square or a circle. Which figure will yield the most area?
- The maximum speed of a zebra is 40 mph. IF the zebra could keep up that speed, how long would it take it to run one mile?
- How many positive integers less than 124 are divisible by 2, 3, and 5?
- Find the product of the first five even whole numbers.
- Which of the following best describes the GCD of two numbers? a) always even b) always odd c) never prime d) none of these.
- There are several combinations of whole numbers whose sum is 12. Find the pair with the greatest product.
- Find two examples of numbers that have exactly three factors (no more, no less).
Bonus 1: See #3 above. What slick math tidbit makes this problem easy to solve without paper, pencil, or calculator?
Bonus 2: Square a two-digit number and subtract one. Under what conditions will the result be prime?
Bonus 3: Write the number (124 – 54) as a product of primes.
Bonus 4: See #15. Do you know (or can you deduce) what is true in general about integers with exactly three factors?
Comments are closed