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.| | 82 | 913 | 3359 | 11574 | 215410 | 3152704 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 5, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 32 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 700 and 799 inclusively with the largest digits sum? 7. Richard is 5 times the age of Julia who is 7 years older than Ed. If the total age of the three is 98, how old is Ed? 8. Hillary is 3 times the age of Rene who is 4 years younger than Laura. If the total age of the three is 59, how old is Laura? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Jessica is 3 times as old as Andy was 4 years ago. Jessica will be 19 years old after 4 years. How old is Andy this year? 11. The circumference of a tire is 62 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 (7 × 7) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Anne has a total of 10 $5 and $100 bills with a total value of $525. How many $100 bills does Anne have? 14. Jane has a total of 17 $20 and $50 bills with a total value of $640. How many $20 bills does Jane have? 15. Laura has a total of 10 $20 and $100 bills with a total value of $440. How many $100 bills does Laura have? |