Challenging Questions( Week 50 Evaluation) 1. There are a total of 33 motorcycles (2-wheel) and cars (4-wheel) in a parking lot. Together, there are 104 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 66 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 220? 5. The average of 5 numbers is 14. Suppose 38 is added the group. What is the new average of all the numbers? 6. In the morning, it takes Julia 3 minutes to brush her teeth, 2 minutes to put on makeup, 4 minutes to boil water for tea, and 2 minutes to wait the tea to cool down. After these chores, she needs 4 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. Michael had 74 Yu-Gi-Oh cards, and Helen had none. Michael can move exactly 8 cards to Helen at a time, and Helen can move exactly 2 cards to Michael at a time. At least how many moves are needed to move all Michael's cards to Helen? 8. All the students in the class need to take at least one course in math and English in this semester. There are 21 students in the class. There are 11 students registered for math and 16 students registered for English. How many students are registered for both Math and English ? 10. The tickets for a concert cost $30 each. However, children can get a 10% discount. A group of 30 people consisting of children and adults paid a total of $882 for the concert. How many children were there in the group? |