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 8, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 40 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 700 and 799 inclusively with the largest digits sum? 7. Nancy is 4 times the age of David who is 3 years older than Susan. If the total age of the three is 75, how old is Susan? 8. John is 4 times the age of Alice who is 5 years younger than George. If the total age of the three is 83, how old is George? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Anne is 3 times as old as Rene was 4 years ago. Anne will be 19 years old after 4 years. How old is Rene this year? 11. The circumference of a tire is 69 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 (9 × 9) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Anne has a total of 15 $5 and $100 bills with a total value of $645. How many $5 bills does Anne have? 14. Niconia has a total of 17 $20 and $50 bills with a total value of $580. How many $50 bills does Niconia have? 15. Jessica has a total of 9 $20 and $100 bills with a total value of $500. How many $100 bills does Jessica have? |