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.| | 77 | 422 | 9944 | 70299 | 359487 | 1123479 |
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 56 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 500 and 599 inclusively with the largest digits sum? 7. John is 5 times the age of Alice who is 2 years older than George. If the total age of the three is 96, how old is George? 8. Anne is 5 times the age of Kevin who is 7 years younger than Nancy. If the total age of the three is 77, how old is Nancy? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Anne is 3 times as old as Joe was 5 years ago. Anne will be 20 years old after 5 years. How old is Joe 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Helen has a total of 15 $5 and $100 bills with a total value of $740. How many $5 bills does Helen have? 14. Jennifer has a total of 14 $20 and $50 bills with a total value of $460. How many $20 bills does Jennifer have? 15. Mary has a total of 18 $20 and $100 bills with a total value of $840. How many $20 bills does Mary have? |