Week of October 31
6. Can you make 2000 with just eight ones?
5. Can you make 1000 using just eight 8's? How about 500 with just 8 4's? How about 250 with just 8 2's?
1. Vera and Samia are 44 miles apart. Vera travels at 8 miles per hour towards Samia. At the same time Samia travels at 3 miles per hour towards Vera. How many miles will Vera have to travel before meeting Samia?
2. What occurs once in a minute, twice in a moment, but never in an hour?
3. Find the even 5-digit number that has the following properties:
- None of the digits repeat.
- It is between 20,000 and 77,777, inclusive.
- The digit in the thousands place is 3 times the digit in the ten-thousands place.
- The units digit is a prime number.
- The hundreds digit is half the sum of the units, thousands, and ten-thousands digits.
- The tens digit is the product of two other digits.
4. In the land of Clinkets, the local Winkets and Flinkets earn their wealth in stars, crescents, and nuggets. Every 5 stars equals the value of 1 crescent. Every 5 crescents is worth 1 nugget.
- Chief Winket has 250 nuggets, 50 stars, and 200 crescents.
- His counterpart, Chief Flinket, has twice as many crescents, 3 times and many stars, but just 200 nuggets.
A new Blinket vehicle costs 483 nuggets.How many more stars must each earn in order to have enough stars to buy a new Blinket vehicle?
