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.| | 31 | 213 | 2014 | 30379 | 326304 | 9307415 |
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 72 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. Anne is 6 times the age of Kevin who is 5 years older than Nancy. If the total age of the three is 91, how old is Nancy? 8. Alice is 5 times the age of George who is 3 years younger than Anne. If the total age of the three is 87, how old is Anne? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Alice is 4 times as old as Kevin was 2 years ago. Alice will be 10 years old after 2 years. How old is Kevin this year? 11. The circumference of a tire is 65 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 (2 × 2) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Julia has a total of 14 $5 and $100 bills with a total value of $735. How many $5 bills does Julia have? 14. Anne has a total of 13 $20 and $50 bills with a total value of $350. How many $20 bills does Anne have? 15. Alice has a total of 15 $20 and $100 bills with a total value of $540. How many $20 bills does Alice have? |