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 60 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. David is 6 times the age of Susan who is 4 years older than Eric. If the total age of the three is 84, how old is Eric? 8. Josh is 5 times the age of Hillary who is 6 years younger than Rene. If the total age of the three is 76, how old is Rene? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Anne is twice as old as Smith was 2 years ago. Anne will be 8 years old after 2 years. How old is Smith this year? 11. The circumference of a tire is 94 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 (2 × 2) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Jane has a total of 16 $5 and $100 bills with a total value of $840. How many $100 bills does Jane have? 14. Sofia has a total of 14 $20 and $50 bills with a total value of $370. How many $20 bills does Sofia have? 15. Emily has a total of 15 $20 and $100 bills with a total value of $940. How many $100 bills does Emily have? |