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.| | 36 | 648 | 4425 | 50429 | 448238 | 7492251 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 2, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 76 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 900 and 999 inclusively with the largest digits sum? 7. Susan is 5 times the age of Eric who is 2 years older than Mary. If the total age of the three is 61, how old is Mary? 8. Jane is 3 times the age of Ben who is 4 years younger than Jennifer. If the total age of the three is 29, how old is Jennifer? 9. The perimeter of a square is 60 inches. What is its area (in square inches)? 10. Jennifer is 4 times as old as Jay was 3 years ago. Jennifer will be 23 years old after 3 years. How old is Jay this year? 11. The circumference of a tire is 94 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. Helen has a total of 9 $5 and $100 bills with a total value of $330. How many $100 bills does Helen have? 14. Helen has a total of 18 $20 and $50 bills with a total value of $660. How many $50 bills does Helen have? 15. Hillary has a total of 19 $20 and $100 bills with a total value of $940. How many $20 bills does Hillary have? |