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 4? 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 30. What was the average of the two numbers that were added to the list? 6. 48 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 100 pieces cost $10? 8. The sum of the ages of Alice and Anne is 10, the sum of the ages of Alice and Nancy is 14 and the sum of the ages of Anne and Nancy is 14. How old is Nancy? 9. The average of 6 numbers is 13. Suppose 41 is added the group. What is the new average of all the numbers? 10. Laura can buy a dozen candy bars for 96 cents. If she spends $28.8 on the candy bars and sells them for a total of $36, how much will she charge (in cents) for each candy bar? 11. What is the greatest common factor (GCF) of 36 and 68? 12. There are 33 marbles in a red bag and 42 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 17. What is the largest value that can have? 15. Two natural numbers have a sum of 17. What is the maximum product of the two numbers? |