Math Olympiad 2

Geometry Problems( Week 21 Evaluation)

1. How many line(s) can be drawn that pass through 1 point?

A) Countless

B) 2

C) 0

D) 1

2. Compare the two things and decide if one is bigger than the other or if they are equal.


I	II

A) I has more sides than II.

B) I has fewer sides than II.

C) I has the same number of sides as II.

3. A rectangle has 4 angles. Cut the rectangle into two parts by a straight line. Now, count the total number of angles of the two parts. What is the least number of angles possible in total?

4. A triangle has 3 angles. Cut the triangle into two parts by a straight line. Now, count the total number of angles of the two parts. What is the most number of angles possible in total?

5. A rectangle has 4 angles. Cut out an angle by a straight line. What is the most number of angles possible in the remaining part?

6. A pentagon has 5 angles. Cut one angle from the pentagon by a straight line. What is the least number of angles possible in remaining part?

7. A rectangle has 4 corners. Divide the rectangle with a straight line, and then divide the resulting sections with another straight line. What is the largest number of corners in the final resulting sections?

8. A pentagon has 5 angles. Cut the pentagon into two parts by a straight line. Now, count the total number of angles of the two parts. What is the most number of angles possible in total?

9. A triangle has 3 angles. Cut out an angle from the triangle by a straight line and then cut out an angle from the remaining part by another straight line. What is the most number of angles possible in the final remaining part?

10. Larry plans to plant trees along the 22-meter long road side in front of his shop. At most how many trees can be planted along the road if a 2-meter distance between every two trees is required?

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