Math Olympiad 4( Week 25 Quiz 5) 1. All the numbers are from 10 to 15 and each number is only allowed to be used once. Fill in the blanks with the remaining numbers within the range so that the sums of the three numbers in each side are the same.
3. What is the square root of 49? 4. In the product 15 × 16 × 17 × 18 × 19 × 20 × 21, which one of the seven numbers should be increased by 1 to cause the smallest increase in the product? 5. The average of a list of 4 numbers was 21. After two numbers were added to the list, the average became 24. What was the average of the two numbers that were added to the list? 6. 504 gallons of water were poured into an empty tank and filled of the tank. How many gallons does a full tank hold? 7. How much (in dollars) do 10 pieces of chocolate cost if 1000 pieces cost $200? 8. The sum of the ages of Susan and Mary is 15, the sum of the ages of Susan and Julia is 15 and the sum of the ages of Mary and Julia is 16. How old is Julia? 9. The average of 9 numbers is 13. Suppose 53 is added the group. What is the new average of all the numbers? 10. Jessica can buy a dozen candy bars for 36 cents. If she spends $3.6 on the candy bars and sells them for a total of $7.2, how much will she charge (in cents) for each candy bar? 11. What is the greatest common factor (GCF) of 42 and 81? 12. There are 49 marbles in a red bag and 23 marbles in a blue bag. How many marbles need to be moved from the red bag to the blue bag, so that there will be twice as many marbles in the blue bag as in the red bag? 13. The average height of 5 students is 188 cm. The average height of another 7 students is 176 cm. What is the average height (cm) of all these 12 students? 14. A and B are two different natural numbers that are less than 29. What is the largest value that can have? 15. Two natural numbers have a sum of 21. What is the maximum product of the two numbers? |