CPM 2 - Chapter 1 Review
Name:______________________________
Date:__________________Block:__________
1. Circle all the fractions below which are equivalent to
70 , 77 , 27 , 35 , 14 ,1 3 ,1 9
40 24 24 20 11 4 12
[ 70/40, 70/44, 35/20, 1 3/4, 1 9/12 ]
2. Write at least one fraction equivalent to
a.
a numerator of 20.
b.
a denominator of 30
[ a: 20/50, b: 12/30 ]
2
5
that has
7
4
.
3. At right is a sample of the portions web. Each part below represents one part of the web. For
each one, give the other three parts to complete
the web.
fraction
a.
45%
b.
4/5
words or
pictures
c.
decimal
percent
Representations of a Portion
d.
0.08
[ Note: Words or pictures will vary from student to student so please read those carefully.
a: 0.45, 45/100 = 9/20; b: 0.8, 80%; c: 1/4, 25%, 0.25; d: 8%, 2/25 ]
4. In the circle, one “piece of pie” is not labeled. What is the size of this
region? Show your work and support your answer.
1
3
2
5
[ 4/15 ]
1
1
5. Explain completely why 3 + 4
=
7
2
12 and not 7 . Be clear and complete.
[ This is a good opportunity to assess your students ability to construct a sound argument.
Read for proof of understanding as well as the ability to be clear. Students should say that
to add fractions we need common denominator, and some will give an argument for why
this is so. We need to add like parts and so we use Giant Ones to create like parts so we can
add. Share particularly clear and/or insightful responses with the class. ]
6. Calculate.
a.
c.
1 +3=
10 5
3−5=
4 8
[ a: 7/10, b: 7/16, c: 1/8, d: 7/9 ]
b.
d.
5− 3 =
8 16
1+4 =
3 9
7. Answer each probability question.
a.
Give an example of an event that has a probability of 1.
b.
Give an example of an event that has a probability of 0.
c.
Give an example of an event that has a theoretical probability of 1/2.
d.
Suppose you flip a coin ten times, and get tails three times. Based on this result, what is
the experimental probability of getting tails?
[ a: any certainty, b: any impossibility, c: any even with equal likelihood of happening or
not happening. d: 3/10 ]
8. There are 36 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine. Sharee
wants to get a white or green gumball.
a.
What is the probability of getting a white gumball?
b.
What is the probability of getting a green gumball?
c.
What is the probability that she will get a white or green gumball?
[ a: 22/102, b: 36/102, c: 58/102 ]
9. Marcia just bought a game that came with the spinner at right.
On each turn, the player rolls a die and then spins the spinner. The
spinner determines if the player actually gets to move.
a.
What is the most likely outcome with this spinner? Why?
b.
What is the probability of losing your turn? Explain.
Move
ahead
Move
ahead
Lose a
turn
[ a: The most likely outcome is to move ahead. b: The probability of losing a turn is 1/3
10. Monica made the following line plot for the first 20 cars that drove past her school.
white
red
blue
black green
silver
Based on this data,
a.
what is the probability that the next car will be white? Why?
b.
what is the probability that the next car will NOT be green? Why?
c.
what is the mode of this data? Why?
[ a: 5/20 = 1/4, b: 1 – 2/20 = 18/20 = 9/10, c: silver ]
11. Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew
again. These are the tiles she has drawn so far:
red, red, blue, yellow, blue, red, green, red, blue, green
Based on this data,
a.
What is the probability that her next draw will be red?
b.
What is the probability that her next draw will NOT be blue?
c.
If she draws 70 more times, how many times would you expect a green?
[ a: 2/5, b: 4/5, c: 14 ]