Sheet # 188 Critical Thinking

Name: _____________________ Date_____________

A cook by the name of Bob runs a restaurant called the Green Buoy on an island in the Mississippi River. His friend, Matt, drives the ferry to the island in order to bring the dinner guests. As there is no phone on the island, Matt operates a system of lights from the shore to let Bob know how many guests are coming.

If light A is on, then one person is coming.

If light B is on, then two people are coming.

If light C is on, then four people are coming.

If light D is on, then eight people are coming.

This pattern continues for the other two lights.

Matt can use combinations of lights to show that other numbers of people are coming.

Questions:

1) If lights D, C, and A are on, how many people are coming?

2) If lights F, E, B, and A are on, how many are coming?

3) How would Matt let Bob know that 23 people are a coming? What about 35 people?

4) What is the largest number of people that Matt could tell Bob are coming?

Answers for sheet # 188

Pattern is 1, 2, 4, 8.... It is doubling..

E = 16 people coming.

F = 32 people coming

1) If lights D, C, and A are on, how many people are coming?

D = 8

C = 4

A = 1

8 + 4 + 1 = 13 people

2) If lights F, E, B, and A are on, how many are coming?

F = 32 people

E = 16 people

B = 2 people

A = 1

32 + 16 + 2 + 1 = 51 people

3) How would Matt let Bob know that 23 people are a coming? What about 35 people?

Lights A, B, C and E are ON for 23 people.

Lights F, B and A for 35 people

4) What is the largest number of people that Matt could tell Bob are coming?

32 + 16 + 8 + 4 + 2 + 1 = 63 people