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.| | 51 | 596 | 9448 | 13869 | 277459 | 3106940 |
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 600 and 699 inclusively with the largest digits sum? 7. Nancy is 8 times the age of David who is 4 years older than Susan. If the total age of the three is 146, how old is Susan? 8. Jane is 4 times the age of Ben who is 7 years younger than Jennifer. If the total age of the three is 91, how old is Jennifer? 9. The perimeter of a square is 76 inches. What is its area (in square inches)? 10. Emily is twice as old as Edward was 4 years ago. Emily will be 12 years old after 4 years. How old is Edward 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 (4 × 4) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Laura has a total of 21 $5 and $100 bills with a total value of $960. How many $100 bills does Laura have? 14. Martha has a total of 10 $20 and $50 bills with a total value of $290. How many $20 bills does Martha have? 15. Jane has a total of 12 $20 and $100 bills with a total value of $640. How many $20 bills does Jane have? |