Challenging Questions( Week 50 Evaluation) 1. There are a total of 23 motorcycles (2-wheel) and cars (4-wheel) in a parking lot. Together, there are 56 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 25 heads and 72 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 217? 5. The average of 7 numbers is 13. Suppose 45 is added the group. What is the new average of all the numbers? 6. In the morning, it takes Jessica 4 minutes to brush her teeth, 3 minutes to put on makeup, 5 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. Joe had 66 Yu-Gi-Oh cards, and Mary had none. Joe can move exactly 9 cards to Mary at a time, and Mary can move exactly 3 cards to Joe at a time. At least how many moves are needed to move all Joe's cards to Mary? 8. All the students in the class need to take at least one course in math and English in this semester. There are 26 students in the class. There are 15 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 10% discount. A group of 20 people consisting of children and adults paid a total of $386 for the concert. How many children were there in the group? |