Challenging Questions( Week 50 Evaluation) 1. There are a total of 29 motorcycles (2-wheel) and cars (4-wheel) in a parking lot. Together, there are 96 wheels. How many motorcycles and cars are there respectively?(Only write down the numbers separated by a comma.) 2. There are a certain number of ducks and rabbits, which have 23 heads and 70 legs all together. How many ducks and rabbits are there respectively? (Only write down the numbers separated by a comma). 3. Draw a polygon with 7 sides. How many diagonals can you draw inside the polygon? 4. 2n is n 2s multiplied together. 22 = 2 × 2 = 4 and its last digit is 4, 24 = 2 × 2 × 2 × 2 = 16 and its last digit is 6. What is the last digit of 212? 5. The average of 9 numbers is 14. Suppose 34 is added the group. What is the new average of all the numbers? 6. In the morning, it takes Nancy 2 minutes to brush her teeth, 3 minutes to put on makeup, 6 minutes to boil water for tea, and 4 minutes to wait the tea to cool down. After these chores, she needs 3 minutes to finish her breakfast. What is the least amount of time (in minutes) she will need to finish all of the above if she organizes her tasks reasonably? 7. Kevin had 42 Yu-Gi-Oh cards, and Jessica had none. Kevin can move exactly 8 cards to Jessica at a time, and Jessica can move exactly 2 cards to Kevin at a time. At least how many moves are needed to move all Kevin's cards to Jessica? 8. All the students in the class need to take at least one course in math and English in this semester. There are 25 students in the class. There are 11 students registered for math and 24 students registered for English. How many students are registered for both Math and English ? 10. The tickets for a concert cost $20 each. However, children can get a 30% discount. A group of 15 people consisting of children and adults paid a total of $240 for the concert. How many children were there in the group? |