Math Olympiad 1

Math Olympiad 1( Week 51 Quiz 10)

1. 3 red flowers are planted along a straight road, and a yellow flower is planted between every two adjacent red flowers. How many yellow flowers are there?

2. The sum of two numbers is 6 and the difference between the two numbers is 2. What is the smaller number of the two numbers?

3. The digit sum of a given number is the sum of all its digits. For example, the digit sum of 12 is 1 + 2 = 3. Which two-digit number has the greatest digit sum?

4. The digit sum of a given number is the sum of all its digits. For example, the digit sum of 12 is 1 + 2 = 3.

12, 13, 14, 15, 16, and 17

Which of the above two-digit numbers has the largest digit sum?
What is the largest digit sum?

5. The digit sum of a given number is the sum of all its digits. For example, the digit sum of 12 is 1 + 2 = 3.

81, 82, 83, 84, and 85

Which of the above two-digit numbers has the smallest digit sum?
What is the smallest digit sum?

6. A pipe connector is used to connect two pipes. How many connectors are needed to connect 4 pipes to form a longer pipe?

7. The digit sum of a given number is the sum of all its digits. For example, the digit sum of 12 is 1 + 2 = 3.

35, 36, 37, 38, 39, 40, and 41

Which of the above two-digit numbers has the largest digit sum?
What is the largest digit sum?

8. Michael is 3 years older than Hillary. The total age of both is 7 years old. What is the age of Michael?

9. 8 red flowers are planted evenly along the border of a circular garden, and then a yellow flower is planted between every two adjacent red flowers. How many yellow flowers are there?

10. The digit sum of a given number is the sum of all its digits. For example, the digit sum of 12 is 1 + 2 = 3.

37, 38, 39, 40, 41, 42, 43, and 44

Which of the above two-digit numbers has the smallest digit sum?
What is the smallest digit sum?

11. Ben is 3 years younger than Julia. The total age of both is 9 years old. What is the age of Ben?

12. A math exam has 6 addition-subtraction problems and 5 multiplication-division problems. Larry got wrong answers for 3 questions and correct answers for the rest of the questions. How many questions did he answer correctly?

13. The total age of Larry and his younger sister Nancy is 16. If Larry was born at an odd number year, then Nancy must be born at

an even number year an odd number year

14. How many cuts are needed to cut a circular metal wire into 2 equal pieces?

15. David has 6 black horses and 12 white horses. Jennifer has an equal number of horses as David has. How many horses does they have together?

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