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. Kevin is 8 times the age of Nancy who is 4 years older than David. If the total age of the three is 126, how old is David? 8. Ben is 5 times the age of Jennifer who is 8 years younger than Josh. If the total age of the three is 99, how old is Josh? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Anne is 3 times as old as Kevin was 4 years ago. Anne will be 10 years old after 4 years. How old is Kevin this year? 11. The circumference of a tire is 62 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. Alice has a total of 14 $5 and $100 bills with a total value of $735. How many $5 bills does Alice have? 14. Mary has a total of 18 $20 and $50 bills with a total value of $570. How many $20 bills does Mary have? 15. Nancy has a total of 13 $20 and $100 bills with a total value of $740. How many $20 bills does Nancy have? |