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 20 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 100 and 199 inclusively with the largest digits sum? 7. Edward is 7 times the age of Emily who is 9 years older than John. If the total age of the three is 90, how old is John? 8. Ben is 7 times the age of Jennifer who is 7 years younger than Josh. If the total age of the three is 79, how old is Josh? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Niconia is 4 times as old as Josh was 2 years ago. Niconia will be 22 years old after 2 years. How old is Josh 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 (4 × 4) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Nancy has a total of 8 $5 and $100 bills with a total value of $325. How many $100 bills does Nancy have? 14. Sofia has a total of 14 $20 and $50 bills with a total value of $490. How many $50 bills does Sofia have? 15. Martha has a total of 18 $20 and $100 bills with a total value of $1160. How many $100 bills does Martha have? |