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.| | 17 | 171 | 7171 | 60145 | 327015 | 5316127 |
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 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 300 and 399 inclusively with the largest digits sum? 7. Jennifer is 6 times the age of Josh who is 5 years older than Hillary. If the total age of the three is 51, how old is Hillary? 8. George is 5 times the age of Anne who is 7 years younger than Kevin. If the total age of the three is 84, how old is Kevin? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Morgan is twice as old as Richard was 2 years ago. Morgan will be 4 years old after 2 years. How old is Richard this year? 11. The circumference of a tire is 87 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. Nancy has a total of 19 $5 and $100 bills with a total value of $1045. How many $5 bills does Nancy have? 14. Jessica has a total of 12 $20 and $50 bills with a total value of $330. How many $50 bills does Jessica have? 15. Hillary has a total of 8 $20 and $100 bills with a total value of $400. How many $20 bills does Hillary have? |