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.| | 34 | 523 | 7291 | 21187 | 679527 | 3200110 |
4. X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 5, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 32 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 400 and 499 inclusively with the largest digits sum? 7. Ed is 4 times the age of Jane who is 8 years older than Ben. If the total age of the three is 58, how old is Ben? 8. Mary is 4 times the age of Richard who is 4 years younger than Julia. If the total age of the three is 40, how old is Julia? 9. The perimeter of a square is 48 inches. What is its area (in square inches)? 10. Julia is twice as old as John was 4 years ago. Julia will be 12 years old after 4 years. How old is John 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 (5 × 5) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Susan has a total of 20 $5 and $100 bills with a total value of $860. How many $5 bills does Susan have? 14. Julia has a total of 9 $20 and $50 bills with a total value of $300. How many $20 bills does Julia have? 15. Mary has a total of 12 $20 and $100 bills with a total value of $640. How many $100 bills does Mary have? |