Question

What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are drawn on the same piece of paper.

Answer 1

11

Explanation:

Make a diagram. Two geometric figures intersect if they have one or more points in common. Draw two circles which intersect in points. Draw a line which intersects the two circles in points. Draw another line which intersects the two circles in points and also intersects the first line. There are 11 points of intersection.

Answer 2

8:

A line can intersect a circle twice. So, two lines intersect one circle 4 times. Two lines can intersect two circles 8 times.

Hope this helps!