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.| | 25 | 486 | 2416 | 96096 | 704933 | 6031865 |
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 68 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 900 and 999 inclusively with the largest digits sum? 7. Anne is 5 times the age of Kevin who is 7 years older than Nancy. If the total age of the three is 98, how old is Nancy? 8. Susan is 8 times the age of Eric who is 5 years younger than Mary. If the total age of the three is 65, how old is Mary? 9. The perimeter of a square is 68 inches. What is its area (in square inches)? 10. Jessica is twice as old as John was 2 years ago. Jessica will be 10 years old after 2 years. How old is John 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 (3 × 3) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Niconia has a total of 21 $5 and $100 bills with a total value of $1055. How many $100 bills does Niconia have? 14. Helen has a total of 15 $20 and $50 bills with a total value of $480. How many $50 bills does Helen have? 15. Mary has a total of 15 $20 and $100 bills with a total value of $860. How many $100 bills does Mary have? |