Math Olympiad 4

Math Olympiad 4( Week 20 Quiz 4)

1. What is the natural number comes exactly in the middle between 6 and 10?

2. It takes a clock 12 seconds to chime 3 times. How many seconds will it take to chime 8 times? Assume that the lasting time of each chime can be neglected.

3. 10 and 21 are two examples of the numbers that have a digit sum less or equal to 3 (1 + 0 ≤ 3 and 2 + 1 ≤ 3). How many two-digit numbers have the sum of the digits less or equal to 9?

4. How many triangles can you count in the figure below?

5. How many squares can you count from the figure below? (Note that each cell in the 3x4 grid is a square).

6. How many triangles can you count in the following figure?

7. How many rectangles can you count in the following figure?

8. If the odometer of a car reads 49,247 miles, what is the next odometer reading with at least four digits that are the same?

9. Simplify the improper fraction

into a mixed number with the fraction reduced to the lowest terms.

10. How many rectangles can you count from the below shape?

11. What is the greatest common factor (GCF) of 44 and 60?

12. 48 pounds of tomatoes was packaged into boxes each containing 3 pounds of tomatoes. Each box was then sold for $2.25. What was the total income (in dollars) from all the tomatoes?

13.

−

= ? Please express the fraction in its lowest terms.

14. Compare the value of following column A and B:

0.559

1) A > B

2) A = B

3) A < B

4) Unknown

15. 0.94 + 9.94 + 99.94 =

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