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 4, what is the smallest possible dividend X? 5. Maple trees planted around a square garden are one meter apart. There are 48 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. Richard is 4 times the age of Julia who is 2 years older than Ed. If the total age of the three is 52, how old is Ed? 8. Mary is 8 times the age of Richard who is 4 years younger than Julia. If the total age of the three is 104, how old is Julia? 9. The perimeter of a square is 56 inches. What is its area (in square inches)? 10. Laura is 3 times as old as Larry was 2 years ago. Laura will be 8 years old after 2 years. How old is Larry this year? 11. The circumference of a tire is 69 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. Morgan has a total of 13 $5 and $100 bills with a total value of $635. How many $100 bills does Morgan have? 14. Laura has a total of 13 $20 and $50 bills with a total value of $470. How many $50 bills does Laura have? 15. Laura has a total of 15 $20 and $100 bills with a total value of $1100. How many $100 bills does Laura have? |