Math Olympiad 4( Week 36 Quiz 7) 1. Determine which of the following number(s) are divisible by 9. Type the number(s) in the blank, and separate each number with a comma if necessary. 4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 2, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 44 maple trees in total with a tree at each corner. What is the length of each side of the garden (in meters)? 6. What is the multiple of 11 between 900 and 999 inclusively with the largest digits sum? 7. Emily is 3 times the age of John who is 5 years older than Alice. If the total age of the three is 70, how old is Alice? 8. Mary is 5 times the age of Richard who is 3 years younger than Julia. If the total age of the three is 108, how old is Julia? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Niconia is 4 times as old as John was 3 years ago. Niconia will be 15 years old after 3 years. How old is John this year? 11. The circumference of a tire is 94 inches. How many complete turns will the tire roll in one mile (1 mile = 63,360 inches) on the ground? 12. If you cut a square (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Laura has a total of 14 $5 and $100 bills with a total value of $450. How many $5 bills does Laura have? 14. Nancy has a total of 16 $20 and $50 bills with a total value of $530. How many $50 bills does Nancy have? 15. Emily has a total of 13 $20 and $100 bills with a total value of $580. How many $20 bills does Emily have? |