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Chapter 1 Quiz 1 Practice Quiz
Name:______________________________
Date:__________________Per:__________
1. For each situation, represent the portion in three different ways.
a.
Of 25 students interviewed, 21 said they believe in the Loch Ness monster.
Fraction:
Decimal:
Percent:
b.
Of 50 students surveyed, 19 said they had soda for breakfast.
Fraction:
Decimal:
Percent:
c.
Below are the results of a recent survey. What
portion of the students walked to school?
Fraction:
Decimal:
Percent:
[a: 21/25, 0.84, 84% believe in the monster; b: 19/50, 0.38, 38% had soda; c: 11/45,
0.244444, 24.444% ]
2.
Write the amount shaded as a simplified fraction, a
decimal and a percent.
[ 3/20, 0.15, 15% ]
3. In their last game of the season, Jessica has made 6 out of 10 shots so far, and Linda has made
12 out of 15 shots. As the coach, you must decide which player will shoot the final deciding shot
of the game. Who should do it and why? Be clear and convincing! One of them is going to
upset she isn’t chosen, so your reasoning needs to be sound.
[ Linda, her shot percentage is 20% higher than Jessica’s 60% shot percentage. ]
4. In a game of chance, Scott can win in two different ways. One
way is by rolling either a 2 or a 4 with a standard die. The second
way is to land on a 3, 4, or 5 on the spinner with eight equally likely
sections numbered from one to eight. Scott thinks he has a better
chance with the spinner because he has three numbers that will win
instead of only two. Is he correct? What is the probability of
winning a with the die? What is the probability of winning with the
spinner? Which should he choose?
1
2
8
3
7
4
6
5
[ He is correct. The probability of winning with the die is 1/3 while the probability of
winning with the spinner is 3/8 which is .375, slightly bigger than rolling the die. ]
5. The shape below shows an unfolded cube.
Lose
Lose
Win
Win
Try
again
Lose
a
If the cube is folded up and rolled, what are all the possible outcomes? Are they all
equally likely? Explain.
b.
What is the probability of losing?
c.
What is the probability of not losing?
[ a: The possible outcomes are Lose, Win and Try again; b: 3/6, c: 3/6 ]
6. Convert the following:
a.
1.074 to a percent.
b.
534.3% to a decimal.
c.
225% to a simplified fraction.
[ a: 107.4%, b: 5.343, c: 9/4 ]
7. Convert the following:
a.
3
20
to a percent.
b.
254.3% to a decimal.
c.
0.004 to a simplified fraction.
[ a: 15%, b: 2.543, c: 1/250 ]
8. Kyle rolled a number cube (die) 60 times and recorded his results in the table here.
# shown
on die
# of
times
rolled
1
2
3
4
5
Based on
his data,
a.
8
14
11
6
12
probability of rolling a “2” in the future?
b.
6
what is the probability of rolling a number larger than “3” in the future?
9
what is
the
c.
what is the probability of rolling an odd number in the future?
[ a: 14/60 or 7/30, b: 27/60 or 9/20, c: 31/60 ]