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.| | 28 | 594 | 6410 | 80784 | 974615 | 4552354 |
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 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 700 and 799 inclusively with the largest digits sum? 7. Hillary is 4 times the age of Rene who is 7 years older than Laura. If the total age of the three is 59, how old is Laura? 8. John is 8 times the age of Alice who is 4 years younger than George. If the total age of the three is 64, how old is George? 9. The perimeter of a square is 52 inches. What is its area (in square inches)? 10. Jessica is twice as old as Jackson was 5 years ago. Jessica will be 13 years old after 5 years. How old is Jackson 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. Hillary has a total of 11 $5 and $100 bills with a total value of $435. How many $5 bills does Hillary have? 14. Mary has a total of 16 $20 and $50 bills with a total value of $440. How many $20 bills does Mary have? 15. Helen has a total of 20 $20 and $100 bills with a total value of $1200. How many $100 bills does Helen have? |