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 5, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 56 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 400 and 499 inclusively with the largest digits sum? 7. John is 5 times the age of Alice who is 6 years older than George. If the total age of the three is 57, how old is George? 8. Josh is 7 times the age of Hillary who is 9 years younger than Rene. If the total age of the three is 126, how old is Rene? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Helen is twice as old as Rene was 2 years ago. Helen will be 4 years old after 2 years. How old is Rene this year? 11. The circumference of a tire is 72 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. Anne has a total of 14 $5 and $100 bills with a total value of $830. How many $100 bills does Anne have? 14. Jane has a total of 14 $20 and $50 bills with a total value of $460. How many $20 bills does Jane have? 15. Martha has a total of 13 $20 and $100 bills with a total value of $740. How many $20 bills does Martha have? |