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.| | 34 | 245 | 3426 | 82911 | 803115 | 5103791 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 4, 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. Hillary is 4 times the age of Rene who is 7 years older than Laura. If the total age of the three is 77, how old is Laura? 8. Kevin is 7 times the age of Nancy who is 5 years younger than David. If the total age of the three is 122, how old is David? 9. The perimeter of a square is 68 inches. What is its area (in square inches)? 10. Jessica is 4 times as old as George was 4 years ago. Jessica will be 24 years old after 4 years. How old is George this year? 11. The circumference of a tire is 69 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. Laura has a total of 10 $5 and $100 bills with a total value of $430. How many $5 bills does Laura have? 14. Alice has a total of 20 $20 and $50 bills with a total value of $670. How many $50 bills does Alice have? 15. Jessica has a total of 20 $20 and $100 bills with a total value of $1120. How many $100 bills does Jessica have? |