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.| | 59 | 804 | 8791 | 11581 | 804494 | 5316408 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 8, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 60 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 300 and 399 inclusively with the largest digits sum? 7. Ed is 5 times the age of Jane who is 9 years older than Ben. If the total age of the three is 82, how old is Ben? 8. George is 6 times the age of Anne who is 4 years younger than Kevin. If the total age of the three is 68, how old is Kevin? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Morgan is 4 times as old as Jackson was 5 years ago. Morgan will be 13 years old after 5 years. How old is Jackson this year? 11. The circumference of a tire is 84 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Helen has a total of 15 $5 and $100 bills with a total value of $930. How many $100 bills does Helen have? 14. Martha has a total of 20 $20 and $50 bills with a total value of $670. How many $50 bills does Martha have? 15. Jennifer has a total of 16 $20 and $100 bills with a total value of $800. How many $20 bills does Jennifer have? |