Challenging Questions( Week 50 Evaluation) 1. There are a total of 28 motorcycles (2-wheel) and cars (4-wheel) in a parking lot. Together, there are 78 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 22 heads and 60 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 6 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 216? 5. The average of 6 numbers is 10. Suppose 17 is added the group. What is the new average of all the numbers? 6. In the morning, it takes Susan 3 minutes to brush her teeth, 4 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 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 Emily had none. Kevin can move exactly 8 cards to Emily at a time, and Emily can move exactly 2 cards to Kevin at a time. At least how many moves are needed to move all Kevin's cards to Emily? 8. All the students in the class need to take at least one course in math and English in this semester. There are 29 students in the class. There are 13 students registered for math and 26 students registered for English. How many students are registered for both Math and English ? 10. The tickets for a concert cost $10 each. However, children can get a 10% discount. A group of 25 people consisting of children and adults paid a total of $245 for the concert. How many children were there in the group? |