Use+a+diagram

Grandma's Quilt

Grandmother made a quilt of equally sized squares. Solid blue squares surround the edges of the quilt, and the inside squares are printed with yellow flowers. What size quilt did Grandmother make if her quilt had an equal number of solid blue and printed yellow flowered squares? Draw a good diagram to help you solve this problem.

Shake hands

How many times can 10 -people shake hands with one another? (The same 2 people shake only once.) Can You find a pattern? media type="custom" key="411303"

Can you colour this design with at most four colours? No same colours can be side-by-side. It's okay for the same colours to touch at only one point.

Create your own "map"where more than 4 colours are needed to colour it?

A college class has exactly enough students to form eight equal rows. On Monday a student is absent, and the professor is able to seat the students into five equal rows. On Tuesday two students are absent, and the professor can seat the students into nine equal rows. What is the least possible number of students in the class? media type="custom" key="411313"