Math Olympiad 4( Week 41 Quiz 8) 1. Helen want to make a ring for graduation. She can choose from 7 types of stones and 6 types of metals. How many combinations of a stone and a metal are there? 2. Using digits 1, 2, 3, 4, 5, and 6 (Each digit can be used as many times as you want), how many 2-digit numbers can you make? 3. The sum of two numbers is 686. The larger number is 86 more than 5 times the smaller number. What is the bigger number? 5. Nick spent $630 for a vacation, which was 10% of his savings. How much was in his savings (in dollars) before the spending? 7. The cost of 4 science books plus 7 history books is $15.00 more than the cost of 7 science books plus 4 history books. A history book costs $18.29. What is the cost of a science book? 8. 13 people form a chess club and arrange for each person to play each other exactly a match. How many matches in total will be played? 9. The length of a rectangle is 4 times its width. If its perimeter is 750 inches, what is the length (in inches)? 12. Alice has 4 blouses and 7 pairs of pants. How many different outfits can she make from these clothes? 13. Curtis stopped at a restaurant for dinner. There are 16 kinds of main dishes and 10 kinds of soup. How many possible combinations can be made from the menu (Each with one main dish and one soup)? 14. Three students shared a computer for their science project for a total of 2 hours. At any specific time, only one student was allowed to use the computer. The first student used 25% of the total time, and the second student used the computer 35% of the total time. The rest was used by the third student. For how many minutes did the third student use the computer? 15. The tickets for a concert cost $20 each. However, children can get a 10% discount. A group of 15 people consisting of children and adults paid a total of $290 for the concert. How many children were there in the group? |