1. Claire loves making snowflakes. Mr. Little estimated that Claire should be able to create 1000 unique snowflake patterns, even though no two snowflakes are alike. Of course, there now needs to be a math problem involving 1000. How many pairs of positive integers add up to 1000? For example, 1 + 999 = 1000.
2. Elizabeth and Sophie were singing the 12 Days of Christmas with their math class. The teacher asked the class to complete the following challenge: Using the numbers 1, 2, 3, and 4 and basic rules of order of operations (+, -, x, ÷ and parentheses), write an expression for each number from 1 through 12. Each digit can only be used once, and they must all be used.
3. For a set of five whole numbers, the mean is 4, the mode is 1, and the median is 5. What are the five numbers?
4. At 10:00am, Mr. Little leaves his house in a car at a rate of 60 mi/h. At the same time, Mrs. Little, driving in another car, leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart? Don't worry, we will turn around and drive back home once you finish answering the question.
5. If a▲b = ab + b for all non-negative numbers, what is the value of 4▲3?
6. At Chipotle, a burrito with extra guacamole costs $7.75. Three burritos with two extra guacamole costs $21.60. What is the price of each burrito and each extra guacamole?
7. Find the area of the Christmas tree if the larger square is 4 inches x 4 inches.
