Cecil
Fractions and Decimals
Portions
Misc Numbers
Some more Numbers
100
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet. He can travel forward or backward and can go farther than his ladder and come back. Show two number expressions that represent a way for Cecil to cross a tightrope of the following lengths. Make at least one of your expressions for each length include a backward movement.
16 feet
5 + 5 + 6, 8+8, 3(8)+(−8)
100
Convert the following fractions to decimals and the decimals to fractions.
13/9
1.444444444....
100
Mary has a bag of colored tiles. There are 8 red tiles, 7 blue tiles, 9 yellow tiles, and 12 green tiles. If she reaches into the bag, what is the probability of picking a:
Yellow tile?
9/36 or 1/4
100
Copy the incomplete axes and fill in the missing numbers so that the scaling is consistent.
4, 8, 12, 20
100
Rewrite each of these products as an addition problem and then state the number that the expression represents.
5(3)
3 + 3 + 3 + 3 + 3 = 15
200
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet. He can travel forward or backward and can go farther than his ladder and come back. Show two number expressions that represent a way for Cecil to cross a tightrope of the following lengths. Make at least one of your expressions for each length include a backward movement.
19 feet
5+6+8, 5(5)+(−6)
200
Convert the following fractions to decimals and the decimals to fractions.
7/8
0.875
200
Mary has a bag of colored tiles. There are 8 red tiles, 7 blue tiles, 9 yellow tiles, and 12 green tiles. If she reaches into the bag, what is the probability of picking a:
Green tile?
12/36 or 1/3
200
Copy the incomplete axes and fill in the missing numbers so that the scaling is consistent.
25, 75, 100, 125, 150
200
Rewrite each of these products as an addition problem and then state the number that the expression represents.
3(−2)
(-2) + (-2) + (-2) = -6
300
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet. He can travel forward or backward and can go farther than his ladder and come back. Show two number expressions that represent a way for Cecil to cross a tightrope of the following lengths. Make at least one of your expressions for each length include a backward movement.
13 feet
6+6+6+(−5), 3(5)+6+(−8)
300
Convert the following fractions to decimals and the decimals to fractions.
0.204
51/250
300
Mary has a bag of colored tiles. There are 8 red tiles, 7 blue tiles, 9 yellow tiles, and 12 green tiles. If she reaches into the bag, what is the probability of picking a:
Purple tile?
0; There are no purple tiles; impossible
300
Use the numbers 0, 1, 2, 2 1/2, 3, 7, 7 1/2, 9, and 10 to answer each of the following questions. Note that you may use each number as many times as you like.
List five numbers with a mean of 5.
0, 2 1/2, 2 1/2, 10, 10 or 1, 2, 2, 10, 10 or 1, 3, 7, 7, 7
400
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet. He can travel forward or backward and can go farther than his ladder and come back. Show two number expressions that represent a way for Cecil to cross a tightrope of the following lengths. Make at least one of your expressions for each length include a backward movement.
3 feet
5+6+(−8), 8+(−5)
400
Convert the following fractions to decimals and the decimals to fractions.
0.47
47/100
400
Multiply 2/3⋅1/2. You may want to copy and complete the diagram below to show your work.
2/6 or 1/3
400
Use the numbers 0, 1, 2, 2 1/2, 3, 7, 7 1/2, 9, and 10 to answer each of the following questions. Note that you may use each number as many times as you like.
List five numbers with a mean of 5 and a median of 2 1/2.
0, 212, 212, 10, 10 or 1, 212, 212, 9, 10
500
Cecil started from Point A and moved according to the expression 8+(−5)+7+6+(−7)+5+(−8). What one additional step does Cecil need in order to return to the starting point?
The total is 6, so −6 will return to start.
500
George is playing a game, but the spinner is incomplete. Help him figure out what fraction is missing.
4/15
500
Use the numbers 0, 1, 2, 2 1/2, 3, 7, 7 1/2, 9, and 10 to answer each of the following questions. Note that you may use each number as many times as you like.
If a list of five numbers has a mean of 5, what is the largest median that this set of data can have?
The sum of the numbers should be 25; the largest median to achieve that with is 7 1/2, using the list 0, 2 1/2, 7 1/2, 7 1/2, 7 1/2.