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 6, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 76 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 6 times the age of Josh who is 7 years older than Hillary. If the total age of the three is 113, how old is Hillary? 8. Kevin is 4 times the age of Nancy who is 2 years younger than David. If the total age of the three is 92, how old is David? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Susan is twice as old as Ben was 4 years ago. Susan will be 14 years old after 4 years. How old is Ben this year? 11. The circumference of a tire is 65 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. Helen has a total of 16 $5 and $100 bills with a total value of $840. How many $5 bills does Helen have? 14. Emily has a total of 16 $20 and $50 bills with a total value of $530. How many $50 bills does Emily have? 15. Morgan has a total of 12 $20 and $100 bills with a total value of $720. How many $100 bills does Morgan have? |