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.| | 23 | 922 | 4202 | 71595 | 630490 | 1558501 |
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 20 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 100 and 199 inclusively with the largest digits sum? 7. David is 4 times the age of Susan who is 2 years older than Eric. If the total age of the three is 76, how old is Eric? 8. John is 7 times the age of Alice who is 7 years younger than George. If the total age of the three is 133, how old is George? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Jane is 3 times as old as Jackson was 5 years ago. Jane will be 20 years old after 5 years. How old is Jackson this year? 11. The circumference of a tire is 84 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. Martha has a total of 10 $5 and $100 bills with a total value of $335. How many $100 bills does Martha have? 14. Mary has a total of 15 $20 and $50 bills with a total value of $450. How many $50 bills does Mary have? 15. Alice has a total of 14 $20 and $100 bills with a total value of $520. How many $20 bills does Alice have? |