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.| | 28 | 133 | 6597 | 74312 | 703539 | 6004143 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 4, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 24 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 800 and 899 inclusively with the largest digits sum? 7. Kevin is 5 times the age of Nancy who is 2 years older than David. If the total age of the three is 47, how old is David? 8. Hillary is 7 times the age of Rene who is 6 years younger than Laura. If the total age of the three is 87, how old is Laura? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Emily is twice as old as David was 2 years ago. Emily will be 4 years old after 2 years. How old is David this year? 11. The circumference of a tire is 69 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Morgan has a total of 18 $5 and $100 bills with a total value of $755. How many $5 bills does Morgan have? 14. Martha has a total of 16 $20 and $50 bills with a total value of $440. How many $50 bills does Martha have? 15. Alice has a total of 15 $20 and $100 bills with a total value of $1020. How many $20 bills does Alice have? |