Challenging Questions( Week 50 Evaluation) 1. There are a total of 45 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 16 heads and 44 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 211? 5. The average of 9 numbers is 8. Suppose 58 is added the group. What is the new average of all the numbers? 6. In the morning, it takes Sofia 2 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 5 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. Eric had 61 Yu-Gi-Oh cards, and Alice had none. Eric can move exactly 10 cards to Alice at a time, and Alice can move exactly 3 cards to Eric at a time. At least how many moves are needed to move all Eric's cards to Alice? 8. All the students in the class need to take at least one course in math and English in this semester. There are 27 students in the class. There are 12 students registered for math and 19 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 30% discount. A group of 26 people consisting of children and adults paid a total of $233 for the concert. How many children were there in the group? |