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 68 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 600 and 699 inclusively with the largest digits sum? 7. Jennifer is 7 times the age of Josh who is 3 years older than Hillary. If the total age of the three is 42, how old is Hillary? 8. George is 3 times the age of Anne who is 9 years younger than Kevin. If the total age of the three is 59, how old is Kevin? 9. The perimeter of a square is 72 inches. What is its area (in square inches)? 10. Hillary is 4 times as old as Steve was 5 years ago. Hillary will be 21 years old after 5 years. How old is Steve this year? 11. The circumference of a tire is 75 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 (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Nancy has a total of 17 $5 and $100 bills with a total value of $655. How many $100 bills does Nancy have? 14. Anne has a total of 16 $20 and $50 bills with a total value of $590. How many $20 bills does Anne have? 15. Helen has a total of 16 $20 and $100 bills with a total value of $960. How many $20 bills does Helen have? |