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SAT Math Unit 3: Problem-Solving and Data Analysis

12 questions

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Unit 3: Problem-Solving and Data Analysis

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Question 1

The two-way table below shows data on 200 students.

	Passed	Failed	Total
Studied	120	20	140
Did not study	30	30	60
Total	150	50	200

What is the probability that a randomly selected student who failed did not study?

\frac{30}{200}

\frac{30}{60}

\frac{30}{50}

\frac{50}{200}

Question 2

A jacket originally priced at $\$ 80 $i so n s a l e f or$ 25%$ off. What is the sale price?

\

55$B.

\

60$C.

\

20$D.

\

100$

Question 3

In a survey of 400 people, $35%$ said they exercise daily. The margin of error is $\pm 4%$ . Which of the following is a reasonable estimate for the percentage of the entire population that exercises daily?

30%

37%

40%

50%

Question 4

A car travels 240 miles in 4 hours. At this rate, how many miles will it travel in 6 hours?

300

360

320

400

Question 5

The data set below shows test scores for 7 students:

$72, 85, 90, 90, 91, 95, 100$

What is the median score?

90

91

90.5

89

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Question 6

The box plot below summarizes a data set. The minimum is 10, Q1 is 25, median is 40, Q3 is 55, and the maximum is 70. What is the interquartile range (IQR)?

60

30

15

40

Question 7

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If one marble is selected at random, what is the probability it is NOT red?

\frac{1}{3}

\frac{2}{3}

\frac{5}{12}

\frac{3}{12}

Question 8

A scientist converts a measurement from feet to meters using the fact that $1$ foot $= 0.3048$ meters. A room is $25$ feet long. What is the length in meters, rounded to the nearest tenth?

7.6

mB.

82.0

mC.

0.30

mD.

25.3

Question 9

A study measured the heights of 50 adults. The mean height was 170 cm and the standard deviation was 8 cm. Which statement best describes a height of 186 cm?

A.It is 2 standard deviations above the mean.B.It is 1 standard deviation above the mean.C.It is 3 standard deviations above the mean.D.It is below the mean.

Question 10

In a class of 30 students, $60%$ play a sport and $40%$ play an instrument. If $20%$ play both, what percent of students play neither?

0%

10%

20%

80%

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Question 11

A scatterplot shows a strong positive linear association between hours studied ( $x$ ) and exam score ( $y$ ). The line of best fit is $y = 4 x + 52$ . Predict the exam score for a student who studies 8 hours.

80

84

60

96

Question 12

A recipe requires 3 cups of flour for every 2 cups of sugar. If a baker uses 12 cups of flour, how many cups of sugar are needed?

6

8

9

18

SAT Math Unit 3: Problem-Solving and Data Analysis — Free with Answer Explanations | Test Practice Hub