Challenging Questions( Week 50 Evaluation) 1. There are a total of 44 motorcycles (2-wheel) and cars (4-wheel) in a parking lot. Together, there are 140 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 18 heads and 50 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 5 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 210? 5. The average of 7 numbers is 13. Suppose 21 is added the group. What is the new average of all the numbers? 6. In the morning, it takes Helen 2 minutes to brush her teeth, 2 minutes to put on makeup, 7 minutes to boil water for tea, and 3 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. Jay had 55 Yu-Gi-Oh cards, and Niconia had none. Jay can move exactly 9 cards to Niconia at a time, and Niconia can move exactly 4 cards to Jay at a time. At least how many moves are needed to move all Jay's cards to Niconia? 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 14 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 20% discount. A group of 29 people consisting of children and adults paid a total of $492 for the concert. How many children were there in the group? |