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 36 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. Susan is 5 times the age of Eric who is 8 years older than Mary. If the total age of the three is 83, how old is Mary? 8. Hillary is 7 times the age of Rene who is 7 years younger than Laura. If the total age of the three is 133, how old is Laura? 9. The perimeter of a square is 72 inches. What is its area (in square inches)? 10. Jane is 4 times as old as Andy was 5 years ago. Jane will be 9 years old after 5 years. How old is Andy this year? 11. The circumference of a tire is 84 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. Julia has a total of 16 $5 and $100 bills with a total value of $650. How many $5 bills does Julia have? 14. Niconia has a total of 10 $20 and $50 bills with a total value of $290. How many $20 bills does Niconia have? 15. Julia has a total of 14 $20 and $100 bills with a total value of $680. How many $100 bills does Julia have? |