Math Olympiad 4( Week 25 Quiz 5) 1. All the numbers are from 11 to 16 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 9? 4. In the product 12 × 13 × 14 × 15 × 16 × 17 × 18, 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 27. After two numbers were added to the list, the average became 35. What was the average of the two numbers that were added to the list? 6. 200 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 1000 pieces of chocolate cost if 100 pieces cost $20? 8. The sum of the ages of Sofia and Niconia is 10, the sum of the ages of Sofia and Jessica is 11 and the sum of the ages of Niconia and Jessica is 11. How old is Jessica? 9. The average of 5 numbers is 9. Suppose 33 is added the group. What is the new average of all the numbers? 10. Hillary can buy a dozen candy bars for 60 cents. If she spends $18 on the candy bars and sells them for a total of $21.6, how much will she charge (in cents) for each candy bar? 11. What is the greatest common factor (GCF) of 35 and 65? 12. There are 49 marbles in a red bag and 5 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 190 cm. The average height of another 6 students is 168 cm. What is the average height (cm) of all these 11 students? 14. A and B are two different natural numbers that are less than 28. What is the largest value that can have? 15. Two natural numbers have a sum of 11. What is the maximum product of the two numbers? |