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. 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 72 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. Edward is 6 times the age of Emily who is 9 years older than John. If the total age of the three is 87, how old is John? 8. Mary is 3 times the age of Richard who is 6 years younger than Julia. If the total age of the three is 66, how old is Julia? 9. The perimeter of a square is 44 inches. What is its area (in square inches)? 10. Mary is 3 times as old as Nick was 3 years ago. Mary will be 9 years old after 3 years. How old is Nick 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 (6 × 6) into half, what is the smallest possible sum for the perimeters of the two halves? 13. Niconia has a total of 20 $5 and $100 bills with a total value of $860. How many $5 bills does Niconia have? 14. Morgan has a total of 15 $20 and $50 bills with a total value of $570. How many $50 bills does Morgan have? 15. Anne has a total of 14 $20 and $100 bills with a total value of $600. How many $100 bills does Anne have? |