Math Olympiad 4( Week 41 Quiz 8) 1. Helen want to make a ring for graduation. She can choose from 3 types of stones and 4 types of metals. How many combinations of a stone and a metal are there? 2. Using digits 1, 2, 3, 4, and 5 (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 371. The larger number is 71 more than 3 times the smaller number. What is the bigger number? 5. Ben spent $1770 for a vacation, which was 5% of his savings. How much was in his savings (in dollars) before the spending? 7. The cost of 5 science books plus 8 history books is $27.00 more than the cost of 8 science books plus 5 history books. A history book costs $25.76. What is the cost of a science book? 8. 14 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 650 inches, what is the length (in inches)? 12. Helen has 6 blouses and 6 pairs of pants. How many different outfits can she make from these clothes? 13. Richard stopped at a restaurant for dinner. There are 19 kinds of main dishes and 9 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 5 hours. At any specific time, only one student was allowed to use the computer. The first student used 35% of the total time, and the second student used the computer 45% 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 $30 each. However, children can get a 20% discount. A group of 23 people consisting of children and adults paid a total of $648 for the concert. How many children were there in the group? |