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.| | 32 | 243 | 4484 | 53052 | 904964 | 1199600 |
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 60 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. Anne is 7 times the age of Kevin who is 5 years older than Nancy. If the total age of the three is 58, how old is Nancy? 8. John is 5 times the age of Alice who is 6 years younger than George. If the total age of the three is 104, how old is George? 9. The perimeter of a square is 64 inches. What is its area (in square inches)? 10. Helen is 3 times as old as David was 3 years ago. Helen will be 6 years old after 3 years. How old is David this year? 11. The circumference of a tire is 72 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 (8 × 8) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Laura has a total of 14 $5 and $100 bills with a total value of $640. How many $100 bills does Laura have? 14. Niconia has a total of 21 $20 and $50 bills with a total value of $690. How many $20 bills does Niconia have? 15. Susan has a total of 10 $20 and $100 bills with a total value of $520. How many $100 bills does Susan have? |