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.| | 92 | 481 | 3203 | 20914 | 829273 | 4009914 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 8, 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. Jennifer is 3 times the age of Josh who is 7 years older than Hillary. If the total age of the three is 38, how old is Hillary? 8. John is 5 times the age of Alice who is 8 years younger than George. If the total age of the three is 92, how old is George? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Anne is twice as old as Eric was 4 years ago. Anne will be 8 years old after 4 years. How old is Eric this year? 11. The circumference of a tire is 78 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. Jessica has a total of 15 $5 and $100 bills with a total value of $835. How many $5 bills does Jessica have? 14. Laura has a total of 18 $20 and $50 bills with a total value of $540. How many $50 bills does Laura have? 15. Alice has a total of 16 $20 and $100 bills with a total value of $1120. How many $20 bills does Alice have? |