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.| | 13 | 539 | 2711 | 34978 | 441621 | 3171890 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 7, 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 400 and 499 inclusively with the largest digits sum? 7. John is 6 times the age of Alice who is 2 years older than George. If the total age of the three is 78, how old is George? 8. Nancy is 3 times the age of David who is 8 years younger than Susan. If the total age of the three is 83, how old is Susan? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Mary is 4 times as old as Michael was 5 years ago. Mary will be 9 years old after 5 years. How old is Michael this year? 11. The circumference of a tire is 81 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. Emily has a total of 21 $5 and $100 bills with a total value of $960. How many $100 bills does Emily have? 14. Helen has a total of 12 $20 and $50 bills with a total value of $360. How many $20 bills does Helen have? 15. Emily has a total of 14 $20 and $100 bills with a total value of $520. How many $20 bills does Emily have? |