Math: Tricky Questions 1

15 Points Per Correct Answer - No time limit  

1. The greatest number of Mondays that can occur in the first 45 days of a year is ___? Answer: (One digit or one word.)

2. The expression (n-2) ^ 2 + 7n is divisible by 7 when n = 2. What is the largest integer n < 100 for which (n-2) ^ 2 + 7n is divisible by 7? Answer: (A 2-digit number.)

3. If you have 3 weights, each with an integer value, you can measure food parcels weighing from 1 kg - 13 kg (also integers). What are the possible values of the three weights (in ascending order)? Answer: (3 numbers, separated by spaces)

4. What is 2^2007-2^2006? 2^______ Answer: (The answer is in base 2. Just the exponent is needed.)

5. I wake up if and only if both of my alarm clocks ring at the same time. My alarm that's 3 minutes fast first rings when it reads 10:14. It then rings every 9 minutes thereafter. My alarm that's 4 minutes fast first rings when it reads 10:09. It then rings every 7 minutes thereafter. Where will the minute hand be when I wake up? Answer: (2-digits for the minutes)

6. Tuesday's high temperature was 4 degrees Celsius warmer than that of Monday's. Wednesday's high temperature was 6 degrees Celsius cooler than that of Monday's. If Tuesday's high temperature was 22 degrees Celsius, what was Wednesday's high temperature? Answer: (A 2-digit number.)

7. If a, b and c are distinct positive integers such that abc = 16, then the largest possible value of (a^b - b^c + c^a) is... 253 263 63 249

8. A cube has a volume of 125 cm cubed. What is the area of one face of the cube? Answer: (No units are needed. A 2-digit number.)

9. Janet has 10 coins consisting of nickels, dimes, and quarters. Seven of the coins are either dimes or quarters, and eight of the coins are either dimes or nickels. How many dimes does Janet have? Answer: (A 1-digit number.)

10. Which of the following numbers is an odd integer, contains the digit 5, is divisible by 3, and lies between 12^2 and 13^2? 175 105 165 147