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.| | 76 | 450 | 2225 | 83780 | 402876 | 6346439 |
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 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. Rene is 4 times the age of Laura who is 7 years older than Jay. If the total age of the three is 77, how old is Jay? 8. George is 4 times the age of Anne who is 5 years younger than Kevin. If the total age of the three is 77, how old is Kevin? 9. The perimeter of a square is 72 inches. What is its area (in square inches)? 10. Laura is 4 times as old as Jay was 4 years ago. Laura will be 8 years old after 4 years. How old is Jay this year? 11. The circumference of a tire is 87 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. Alice has a total of 21 $5 and $100 bills with a total value of $960. How many $100 bills does Alice have? 14. Helen has a total of 17 $20 and $50 bills with a total value of $610. How many $20 bills does Helen have? 15. Jennifer has a total of 15 $20 and $100 bills with a total value of $540. How many $20 bills does Jennifer have? |