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.| | 87 | 454 | 4212 | 19788 | 194822 | 4916769 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 7, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 44 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 6 times the age of Nancy who is 2 years older than David. If the total age of the three is 102, how old is David? 8. Julia is 7 times the age of Ed who is 5 years younger than Jane. If the total age of the three is 104, how old is Jane? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Mary is twice as old as Edward was 5 years ago. Mary will be 11 years old after 5 years. How old is Edward this year? 11. The circumference of a tire is 78 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 15 $5 and $100 bills with a total value of $930. How many $5 bills does Alice have? 14. Jane has a total of 12 $20 and $50 bills with a total value of $360. How many $20 bills does Jane have? 15. Mary has a total of 15 $20 and $100 bills with a total value of $860. How many $20 bills does Mary have? |