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 2, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 72 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 200 and 299 inclusively with the largest digits sum? 7. Jennifer is 3 times the age of Josh who is 6 years older than Hillary. If the total age of the three is 54, how old is Hillary? 8. David is 7 times the age of Susan who is 4 years younger than Eric. If the total age of the three is 85, how old is Eric? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Hillary is twice as old as Kevin was 4 years ago. Hillary will be 14 years old after 4 years. How old is Kevin this year? 11. The circumference of a tire is 78 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 (5 × 5) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Hillary has a total of 18 $5 and $100 bills with a total value of $1040. How many $5 bills does Hillary have? 14. Nancy has a total of 18 $20 and $50 bills with a total value of $600. How many $50 bills does Nancy have? 15. Morgan has a total of 17 $20 and $100 bills with a total value of $820. How many $20 bills does Morgan have? |