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.| | 65 | 148 | 5154 | 67698 | 854197 | 1549059 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 3, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 72 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 700 and 799 inclusively with the largest digits sum? 7. Mary is 7 times the age of Richard who is 4 years older than Julia. If the total age of the three is 95, how old is Julia? 8. John is 8 times the age of Alice who is 4 years younger than George. If the total age of the three is 154, how old is George? 9. The perimeter of a square is 76 inches. What is its area (in square inches)? 10. Nancy is 3 times as old as Eric was 4 years ago. Nancy will be 10 years old after 4 years. How old is Eric this year? 11. The circumference of a tire is 65 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 (7 × 7) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Emily has a total of 22 $5 and $100 bills with a total value of $1060. How many $100 bills does Emily have? 14. Morgan has a total of 14 $20 and $50 bills with a total value of $370. How many $50 bills does Morgan have? 15. Alice has a total of 14 $20 and $100 bills with a total value of $600. How many $20 bills does Alice have? |