Stop #1

In a license plate number with 4 digits, what are the chances that at least one of the last three digits will be the same as the first digit?

In a license plate number with three letters, what are the chances that all three letters will be the same?

How many different license plates can you have with four digits and three letters?

 

 

Stop #2

If you wanted to add a third drinking fountain on the right, how high off the ground would it need to be in order to match the pattern of the first two?

Stop #3

Suppose it takes 15 minutes for 100 students to wash their hands before lunch at these sinks.

How long would it take if you added three more sinks?  How long would it take for 200 students to wash their hands at three sinks?

 

Stop #4

If students have a choice of two different sandwiches,  three kinds of bread, and two kinds of vegetables, how many different lunches are possible?

Which food has the most carbohydrates? Fats? Protein?

 

Stop #5

How many sandwiches can fit on a tray if the bread is 5 inches by 5 inches and the tray is 32 inches by 24 inches?  How much wasted space is left over?  

What size bread would you want to use to have no wasted space on the tray?

 

 

Stop #6

If the plastic case weighs 3 pounds, and a bag of chips weighs 6 ounces, how many bags would it take to make a total weight of 10 pounds?

Stop #7

Use your measuring tape to quickly find the total number of trays without counting them all.

 

Stop #8

If the shortest crosspiece that you can see in this picture is 6 inches, and the long piece you see near the top is 34 inches, what is the total length of those two crosspieces and all of the crosspieces in between?

Stop #9

Stand next to the flagpole on a sunny day, and measure the length of your shadow, and the length of the flagpole’s shadow. Make a fraction with the numerator being your height and the denominator being the length of your shadow.  Multiply by the length of the flagpole’s shadow to find the height of the flagpole. 

 

Stop #10

These slides look symmetrical.  What measurements would you make to find out if they really are?

Stop #11

From the position of the shadow, do you think this picture was taken early in the morning, in the middle of the day, or late in the afternoon?  Make a clock out of this tree by marking where the shadow would be at different times of the day. 

Stop #12

It looks like the circles are divided into four equal parts.  What measurements could you make to find out if they really are equal? Do you think the area of the large circle is more than twice the area of the small circle?  How would you find out?

Stop #13

If the center of the free-throw line is 20 feet from the basketball  pole, and the circle is 8 feet across, how far it is from one of ends of the free-throw line to the basketball pole? 

Stop #14

Will the size of the loops be the same as the size of the shadow of the loops, all day long?

Stop #15

What percent of the rectangular space is cut out?

Stop #16

How many times do you have to turn the pedal to make the wheel go around 10 times? Write this as a fraction, where the numerator is the number of times you turn the pedal and the denominator is 10.

If your bicycle has more than one gear, what happens to the fraction as you go to a higher gear?

Measure the diameter of the wheel.  How far will the bicycle go when the wheel goes around one time?