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. 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 28 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. Nancy is 6 times the age of David who is 3 years older than Susan. If the total age of the three is 29, how old is Susan? 8. Ben is 8 times the age of Jennifer who is 2 years younger than Josh. If the total age of the three is 142, how old is Josh? 9. The perimeter of a square is 68 inches. What is its area (in square inches)? 10. Laura is 3 times as old as Smith was 5 years ago. Laura will be 20 years old after 5 years. How old is Smith this year? 11. The circumference of a tire is 94 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 (8 × 8) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Jessica has a total of 15 $5 and $100 bills with a total value of $740. How many $100 bills does Jessica have? 14. Martha has a total of 12 $20 and $50 bills with a total value of $330. How many $50 bills does Martha have? 15. Martha has a total of 10 $20 and $100 bills with a total value of $520. How many $100 bills does Martha have? |