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.| | 48 | 539 | 9118 | 84323 | 998477 | 4036842 |
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 24 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. Susan is 5 times the age of Eric who is 2 years older than Mary. If the total age of the three is 19, how old is Mary? 8. Nancy is 6 times the age of David who is 9 years younger than Susan. If the total age of the three is 105, how old is Susan? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Morgan is 3 times as old as Kevin was 4 years ago. Morgan will be 16 years old after 4 years. How old is Kevin this year? 11. The circumference of a tire is 75 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. Hillary has a total of 20 $5 and $100 bills with a total value of $955. How many $100 bills does Hillary have? 14. Helen has a total of 20 $20 and $50 bills with a total value of $640. How many $20 bills does Helen have? 15. Hillary has a total of 14 $20 and $100 bills with a total value of $680. How many $100 bills does Hillary have? |