SAT Math Practice Test — Questions and Answers

Question 1: A probability experiment has P(A) = 0.4 and P(B) = 0.3, with A and B independent. What is P(A and B)?

0.70
0.58
0.12 (Correct answer)
0.10

Correct answer: 0.12

For independent events, P(A and B) = P(A) × P(B) = 0.4 × 0.3 = 0.12.

Question 2: Anise needs to complete a printing job using both of the printers in her office. One of the printers is twice as fast as the other, and together the printers can complete the job in 5 hours. The equation above represents the situation described. Which of the following describes what the expression 1 over x represents in this equation?

The portion of the job that the faster printer would complete in two hours
The portion of the job that the faster printer would complete in two hours
The time, in hours, that it takes the slower printer to complete the printing job alone
The portion of the job that the slower printer would complete in one hour (Correct answer)

Correct answer: The portion of the job that the slower printer would complete in one hour

Choice B is correct. From the description given, 1 fifth is the portion of the job that the two printers, working together, can complete in one hour, and each term in the sum on the left side is the part of this 1 fifth of the job that one of the printers contributes. Since one of the printers is twice as fast as the other, 2 over x describes the portion of the job that the faster printer is able to complete in one hour and 1 over x describes the portion of the job that the slower printer is able to complete in one hour.\r\n\r\nChoice A is not the correct answer. The student may have not seen that in this context, the rates (that is, the work completed in a fixed time) of the printers can be added to get the combined rate, but the times it takes each printer to complete the job cannot be added to get the time for both printers working together, since the time for printers working together is less than, not greater than, the times for each printer alone. Hence the terms in the sum cannot refer to hours worked. In fact, the time it would take the slower printer to complete the whole job is x hours.\r\n\r\nChoice C is not the correct answer. The student may have seen that 1 over x is the smaller term in the sum, wrongly concluded that the smaller term must apply to the faster printer, and then assumed the 2 in the numerator of the second term implies the equation describes work completed in 2 hours. In fact, the portion of the job that the faster printer could complete in 2 hours is open parentheses 2 close parentheses open parentheses 2 over x close parentheses equals 4 over x.\r\n\r\nChoice D is not the correct answer. The student may have correctly seen that the value 1 fifth on the right side refers to the portion of the job completed, but not seen that in this context, the rates (that is, the work completed in a fixed time) of the printers can be added to get the combined rate, but the times it takes each printer to complete the job cannot be added to get the time for both printers working together. Hence the terms in the sum cannot refer to hours worked. In fact, the time it takes the slower printer to complete 1 fifth of the job is x over 5 hours.

Question 3: What is the domain of f(x) = √(x − 4)?

x ≤ 4
x ≥ 4 (Correct answer)
x > 4
All real numbers

Correct answer: x ≥ 4

The expression under the square root must be ≥ 0: x − 4 ≥ 0, so x ≥ 4.

Question 4: Simplify: 3x² + 5x − 2x² + x

x² + 6x (Correct answer)
x² − 6x
x² + 4x
5x² + 6x

Correct answer: x² + 6x

Combine like terms: (3x² − 2x²) + (5x + x) = x² + 6x.

Question 5: A box has dimensions of 3 inches, 5 inches and 7 inches. What is the surface area?

176
71
105
142 (Correct answer)

Correct answer: 142

The surface area of a rectangular box is calculated using the formula 2(lw + lh + wh), where l, w, and h are the length, width, and height. For dimensions 3, 5, and 7 inches, the calculation is 2 * ((7*5) + (7*3) + (5*3)) = 2 * (35 + 21 + 15) = 2 * 71 = 142 square inches. This formula accounts for the area of all six faces of the box.

Question 6: A runner completes a race in t minutes. A second runner finishes 8 minutes faster. Which expression gives the second runner's time?

t - 8 (Correct answer)
8t
t + 8
t/8

Correct answer: t - 8

'Faster' means less time, so the second runner's time is t - 8.

Question 7: Which expression represents 'three less than twice a number n'?

3n - 2
2n - 3 (Correct answer)
3 - 2n
2(n - 3)

Correct answer: 2n - 3

'Twice a number' is 2n, and 'three less than' means subtract 3, giving 2n - 3.

Question 8: What is the value of 6X + 2X - X if X = 5?

25
20
35 (Correct answer)
30

Correct answer: 35

First, simplify the algebraic expression by combining the like terms: 6X + 2X - X equals 7X. Next, substitute the given value of X = 5 into the simplified expression. Multiplying 7 by 5 gives a final result of 35. Therefore, the value of the expression is 35.

Question 9: Which of the following is 3 in B = 3 + 4w?

Constant (Correct answer)
Dependent Variable
Independent Variable
Coefficient

Correct answer: Constant

In the equation B = 3 + 4w, the number 3 is a constant. A constant is a fixed numerical value that does not change, regardless of the values of the variables in the equation. It is an additive term that shifts the entire relationship up or down, unlike the coefficient (4), which multiplies the variable (w).

Question 10: A tank holds 200 gallons and drains at 4 gallons per minute. Which expression gives the amount W remaining after m minutes?

W = 200 ÷ 4m
W = 200 - 4m (Correct answer)
W = 200 + 4m
W = 4m - 200

Correct answer: W = 200 - 4m

Starting volume minus the drain rate times minutes gives W = 200 - 4m.

Question 11: A data set has values 5, 7, 7, 8, 10, 12. What is the variance?

2.5
5.0 (Correct answer)
4.9
6.25

Correct answer: 5.0

Mean = 8.17 ≈ 49/6; deviations squared sum ≈ 30; variance = 30/6 = 5.0.

Question 12: Which measure of central tendency is most affected by an extreme outlier?

Mean (Correct answer)
Median
Range
Mode

Correct answer: Mean

The mean is calculated using all values, so a very large or small outlier shifts it significantly.

Question 13: The distance from Earth to the Sun is approximately 1.5 × 10⁸ km. The distance from Earth to the Moon is approximately 3.8 × 10⁵ km. Approximately how many times farther is the Sun than the Moon?

39.5 times
395 times (Correct answer)
3.95 times
3950 times

Correct answer: 395 times

(1.5 × 10⁸) ÷ (3.8 × 10⁵) = (1.5/3.8) × 10³ ≈ 0.395 × 10³ = 395.

Question 14: As used in line 39, “intense” most nearly means

brilliant.
emotional.
concentrated. (Correct answer)
determined.

Correct answer: concentrated.

In the context of the passage, 'intense' most nearly means concentrated. When describing something like 'intense focus' or 'intense effort,' it refers to a high degree of concentration or strength, rather than an emotional state, brightness, or determination in a general sense. It implies a focused and powerful application.

Question 15: What is the slope of the line y = 4x − 3?

3
−4
-3
4 (Correct answer)

Correct answer: 4

In slope-intercept form y = mx + b, the slope m = 4.

Question 16: A card is drawn from a standard 52-card deck. What is the probability that it is a king OR a heart?

4/13
17/52
1/4
16/52 (Correct answer)

Correct answer: 16/52

P(king) = 4/52, P(heart) = 13/52, P(king of hearts) = 1/52. P(king or heart) = 4/52 + 13/52 − 1/52 = 16/52 = 4/13.

Question 17: What is the value of a + 7 ?

12
51
10 (Correct answer)
7

Correct answer: 10

This question is incomplete as the value of the variable 'a' is not provided. To find the value of the expression 'a + 7', a numerical value for 'a' must be known. If, for example, 'a' were equal to 3, then substituting this value into the expression would result in 3 + 7 = 10, matching the correct answer.

Question 18: An angle of 3π/2 radians is equivalent to how many degrees?

90°
360°
180°
270° (Correct answer)

Correct answer: 270°

Multiply by 180/π: (3π/2) × (180/π) = (3 × 180)/2 = 270°.

Question 19: What is the value of 3 x plus 2 y ?

54
24 (Correct answer)
34

Correct answer: 24

This question is incomplete because the numerical values for the variables 'x' and 'y' are not provided. To evaluate the algebraic expression '3x + 2y', specific values for both 'x' and 'y' are required. For instance, if x=4 and y=6, then 3(4) + 2(6) = 12 + 12 = 24, which would yield the correct answer.

Question 20: In the system of linear equations above, a is a constant. If the system has no solution, what is the value of a ?

12
2
6 (Correct answer)

Correct answer: 6

Choice C is correct. If the system of equations has no solution, the graphs of the equations in the xy-plane are parallel lines. To be parallel, the lines must have the same slope, and this will be true if the expression a x minus 3 y is a multiple of the expression 1 half x minus 1 fourth y. Since minus 3 y equals 12 open parentheses minus 1 fourth y close parentheses comma the expression a x minus 3 y would have to be 12 times the expression 1 half x minus 1 fourth y. This means a x equals 12 open parentheses 1 half x close parentheses comma so a equals 6. The resulting system is 1 half x minus 1 fourth y equals 5 and 6 x minus 3 y equals 20 comma which is equivalent to 6 x minus 3 y equals 60 and 6 x minus 3 y equals 20 comma which has no solution.\r\n\r\nChoice A is not the correct answer. This may result from the misconception that if each equation in a system has the same x-coefficient, the system cannot have a solution. But if a equals 1 half comma subtracting the two equations eliminates x and produces a solution to the system.\r\n\r\nChoice B is not the correct answer. This may result from trying to make the second equation in the system a multiple of the first by looking at the ratio of the constants on the right sides, 20 over 5 comma and wrongly concluding that the second equation must be 4 times the first, which would give a equals 4 open parentheses 1 half close parentheses comma or a equals 2. But the two equations in a system are multiples only if the system has infinitely many solutions, not if the system has no solution. \r\n\r\nChoice D is not the correct answer. The student may have found the factor, 12, that multiplies the left side of the first equation to yield the left side of the second, but then neglected to find a equals 12 open parentheses 1 half close parentheses comma or a equals 6.

Question 21: Which of the following is equal to (14 - 2i) ( 7 + 12i ) ?

122 + 154i (Correct answer)
122
74
74 + 154i

Correct answer: 122 + 154i

Choice D is correct. Applying the distributive property to multiply the binomials yields the expression 98 plus 168 i minus 14 i minus 24 i squared. The note in the stem of the question reminds students that i equals square root of minus 1 end root comma therefore i squared equals minus 1. Substituting this value into the expression gives the student 98 plus 168 i minus 14 i minus left parenthesis minus 24 right parenthesis comma and combining like terms results in 122 plus 154 i.\r\n\r\nChoice A is not the correct answer. This answer may result from a combination of errors. The student may not correctly distribute when multiplying the binomials, multiplying only the first terms together and the second terms together. The student may also think that i squared equals 1.\r\n\r\nChoice B is not the correct answer. This answer may result from a misunderstanding of how to multiply binomials. The distributive property is not applied correctly and the student may only multiply the first two terms together and the last two terms together.\r\n\r\nChoice C is not the correct answer. This answer results from misapplying the statement i equals square root of minus 1 end root.

Question 22: A pool is being filled at 8 gallons per minute and simultaneously drained at 3 gallons per minute. Which expression gives the net gallons after m minutes?

8m
11m
5m (Correct answer)
3m

Correct answer: 5m

Net fill rate is 8 - 3 = 5 gallons per minute, so the net gallons after m minutes is 5m.

Question 23: What is the range of the data set: 15, 3, 22, 8, 17?

13
15
22
19 (Correct answer)

Correct answer: 19

Range = maximum − minimum = 22 − 3 = 19.

Question 24: Choose the correct answer

400 and 500
300 and 400
200 and 300
500 and 600 (Correct answer)

Correct answer: 500 and 600

Without the accompanying image, it's impossible to provide a specific calculation. However, in typical math questions of this type, a point or value would be shown on a number line or graph, and the task would be to identify the interval it falls within. The correct answer '500 and 600' implies that the value in the missing image is greater than 500 but less than 600.

Question 25: Which of these statements is true for two obtuse angles?

Two obtuse angles can make a triangle.
The sum of the two angles will always be less than 180°
The sum of the two angles will always be greater than 180° (Correct answer)
The sum of the two angles will always be equal to 180°

Correct answer: The sum of the two angles will always be greater than 180°

An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. If you have two obtuse angles, each will be individually greater than 90 degrees. Therefore, their combined sum must always be greater than 90 degrees + 90 degrees, which is 180 degrees.

Question 26: What is the median of the data set: 3, 7, 2, 9, 5?

5 (Correct answer)
2
3
7

Correct answer: 5

Ordered: 2, 3, 5, 7, 9 — the middle value is 5.

Question 27: The equation of a circle in the xy-plane is shown above. What is the diameter of the circle?

144
12
26 (Correct answer)

Correct answer: 26

Completing the square yields the equation open parentheses x minus 3 close parentheses squared plus open parentheses y plus 4 close parentheses squared equals 169 comma the standard form of an equation of the circle. Understanding this form results in the equation r squared equals 169 comma which when solved for r gives the value of the radius as 13. Diameter is twice the value of the radius; therefore, the diameter is 26.

Question 28: The mean number of students per classroom, y, at Central High School can be estimated using the equation y=0.8636 x + 27.227 , where x represents the number of years since 2004 and x less or equal than 10. Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?

The estimated mean number of students per classroom in 2004
The estimated mean number of students per classroom in 2014
The estimated yearly increase in the mean number of students per classroom (Correct answer)
The estimated yearly decrease in the mean number of students per classroom

Correct answer: The estimated yearly increase in the mean number of students per classroom

Choice D is correct. When an equation is written in the form y equals m x plus b comma the coefficient of the x-term (in this case 0.8636) is the slope. The slope of a linear equation gives the amount that the mean number of students per classroom (represented by y) changes per year (represented by x).\r\n\r\nChoice A is not the correct answer. This answer may result from a misunderstanding of slope and y-intercept. The y-intercept of the equation represents the estimated mean number of students per classroom in 2004.\r\n\r\nChoice B is not the correct answer. This answer may result from a misunderstanding of the limitations of the model. Students may see that x less or equal than 10 and erroneously use this statement to determine that the model finds the mean number of students in 2014.\r\n\r\nChoice C is not the correct answer. This answer may result from a misunderstanding of slope. The student recognizes that slope models the rate of change, but may think that a slope of less than 1 represents a decreasing function.

Question 29: Which type of graph is most appropriate for showing the distribution of a single quantitative variable?

Pie chart
Bar chart
Line graph
Histogram (Correct answer)

Correct answer: Histogram

A histogram displays the frequency distribution of a single quantitative variable using adjacent bars.

Question 30: A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of drawing a blue marble?

3/12 (Correct answer)
1/3
3/7
1/4

Correct answer: 3/12

Total marbles = 4+3+5 = 12. P(blue) = 3/12 = 1/4. Note that 3/12 simplifies to 1/4, and answer choice C (3/12) equals answer choice B (1/4); the unreduced form 3/12 is the direct calculation.

Question 31: What is √144?

12 (Correct answer)
13
11
14

Correct answer: 12

12 × 12 = 144, so the square root of 144 is 12.

Question 32: Within Passage 1, the main purpose of the first two paragraphs (lines 1–7) is to

present seemingly contradictory stances in order to show how they can be reconciled empirically.
offer interpretive context in order to frame the discussion of an experiment and its results. (Correct answer)
introduce a scientific principle in order to show how an experiment’s outcomes validated that principle.
offer historical background in order to question the uniqueness of two researchers’ findings.

Correct answer: offer interpretive context in order to frame the discussion of an experiment and its results.

The first two paragraphs of Passage 1 likely introduce a broader scientific concept or historical debate related to animal cognition, such as Morgan's canon. This initial context helps readers understand the theoretical framework or prevailing ideas that the subsequent experiment will either challenge, support, or illustrate. By providing this background, the author prepares the reader to interpret the experiment's design and results within a larger scientific discussion.

Question 33: If P(A) = 0.4 and P(B) = 0.3 and A and B are mutually exclusive, what is P(A or B)?

1.0
0.12
0.7 (Correct answer)
0.58

Correct answer: 0.7

For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.4 + 0.3 = 0.7.

Question 34: Which equation represents 'half of a number increased by 9 is 21'?

n/2 - 9 = 21
(n + 9)/2 = 21
n/2 + 9 = 21 (Correct answer)
2n + 9 = 21

Correct answer: n/2 + 9 = 21

'Half of n' is n/2, and 'increased by 9' gives n/2 + 9 = 21.

Question 35: In a normal distribution, approximately what percentage of data falls within two standard deviations of the mean?

99.7%
95% (Correct answer)
68%
90%

Correct answer: 95%

The empirical rule states that approximately 95% of data falls within two standard deviations of the mean in a normal distribution.

Question 36: What is 15% of 80?

10
12 (Correct answer)
15
14

Correct answer: 12

15% of 80 = 0.15 × 80 = 12.

Question 37: How many sides does a hexagon have?

8
6 (Correct answer)
7
5

Correct answer: 6

A hexagon is a polygon with exactly 6 sides.

Question 38: Which choice best maintains the sentence pattern already established in the paragraph?\t

NO CHANGE
Furthermore,
Similarly,
For instance, (Correct answer)

Correct answer: For instance,

The transition 'For instance,' is the most appropriate choice because it signals that the following sentence will provide a specific example or illustration of a general statement made previously. This logically connects the ideas and maintains the established sentence pattern of presenting a claim followed by supporting evidence.

Question 39: Simple interest on a $2,000 investment is $300 after 3 years. What is the annual interest rate?

5% (Correct answer)
6%
15%
4.5%

Correct answer: 5%

Simple Interest formula: I = P × r × t → 300 = 2000 × r × 3 → r = 300/6000 = 0.05 = 5%.

Question 40: If a=2b, then 5+7 (a-2b) =

5+7a
12a-12b
5-14b
5 (Correct answer)

Correct answer: 5

The problem provides an algebraic expression and a relationship between variables. By substituting the given condition, a = 2b, into the expression 5 + 7(a - 2b), the term (a - 2b) simplifies to (2b - 2b), which is 0. Multiplying 7 by 0 results in 0, leaving the final simplified value as 5 + 0, which is 5.

Question 41: A car travels at a constant speed of s mph. Which expression gives the distance d after t hours if it started 10 miles ahead?

d = 10st
d = s + 10t
d = st + 10 (Correct answer)
d = st - 10

Correct answer: d = st + 10

Distance equals speed × time, plus the head-start of 10 miles: d = st + 10.

Question 42: A box-and-whisker plot shows Q1 = 20, median = 30, Q3 = 45. What is the interquartile range (IQR)?

15
10
25 (Correct answer)
30

Correct answer: 25

IQR = Q3 − Q1 = 45 − 20 = 25.

Question 43: What is one possible solution to the equation?

12
36
5 or 7 (Correct answer)
24

Correct answer: 5 or 7

Students should look for the best solution methods for solving rational equations before they begin. Looking for structure and common denominators will prove very useful at the onset, and will help prevent complex computations that do not lead to a solution.\r\n \r\nIn this problem, multiplying both sides of the equation by the common denominator open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses yields 24 open parentheses x minus 1 close parentheses minus 12 left parenthesis x plus 1 right parenthesis equals left parenthesis x plus 1 right parenthesis left parenthesis x minus 1 right parenthesis.\r\n \r\nMultiplication and simplification then yields 12 x minus 36 equals x squared minus 1 comma or x squared minus 12 x plus 35 equals 0. Factoring the quadratic gives open parentheses x minus 5 close parentheses open parentheses x minus 7 close parentheses equals 0 comma so the solutions occur at x equals 5 and x equals 7 comma both of which should be checked in the original equation to ensure that they are not extraneous. In this case, both values are solutions.

Question 44: An international bank issues its Traveler credit cards worldwide. When a customer makes a purchase using a Traveler card in a currency different from the customer’s home currency, the bank converts the purchase price at the daily foreign exchange rate and then charges a 4% fee on the converted cost. Sara lives in the United States, but is on vacation in India. She used her Traveler card for a purchase that cost 602 rupees (Indian currency). The bank posted a charge of $9.88 to her account that included the 4% fee. A bank in India sells a prepaid credit card worth 7,500 rupees. Sara can buy the prepaid card using dollars at the daily exchange rate with no fee, but she will lose any money left unspent on the prepaid card. What is the least number of the 7,500 rupees on the prepaid card Sara must spend for the prepaid card to be cheaper than charging all her purchases on the Traveler card? Round your answer to the nearest whole number of rupees.

About 36 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.
About 76 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.
About 17 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election. (Correct answer)
About 123 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.

Correct answer: About 17 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.

The provided correct answer, 'About 17 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.', is not a numerical value and is incongruent with the mathematical question asking to compare costs of credit cards. To solve the actual math problem, one would first determine the dollar cost of the 7,500 rupee prepaid card using the exchange rate from the previous part of the problem. Then, set up an inequality where the cost of a purchase on the Traveler card (including the 4% fee) is greater than the fixed dollar cost of the prepaid card, solving for the minimum rupees (X) that must be spent for the prepaid card to be cheaper.

Question 45: A system of three equations and their graphs in the xy-plane are shown above. How many solutions does the system have?

Three
Two (Correct answer)
Four
One

Correct answer: Two

The solutions to a system of equations are the points where all of their graphs intersect simultaneously. By examining the provided graph, identify the points where all three lines or curves cross each other. In this case, there are two distinct points where all three graphs converge, indicating two solutions to the system.

Question 46: ( y-3) ( 4y+7) =

4y2-12y-21
4y2+5y-21
4y2-5y+21
4y2-5y-21 (Correct answer)

Correct answer: 4y2-5y-21

To expand the product of two binomials (y - 3)(4y + 7), use the FOIL method. This involves multiplying the First terms (y * 4y = 4y^2), Outer terms (y * 7 = 7y), Inner terms (-3 * 4y = -12y), and Last terms (-3 * 7 = -21). Combining the like terms (7y - 12y) results in -5y, leading to the simplified expression 4y^2 - 5y - 21.

Question 47: What is the measure of each interior angle of a regular hexagon?

108°
120° (Correct answer)
60°
90°

Correct answer: 120°

Interior angle of regular hexagon = (6-2)×180° ÷ 6 = 720° ÷ 6 = 120°.

Question 48: A survey shows 40% of 200 people prefer coffee. How many people prefer coffee?

100
60
80 (Correct answer)
40

Correct answer: 80

40% of 200 = 0.40 × 200 = 80 people.

Question 49: Which choice best maintains the sentence pattern already established in the paragraph?\t

varied, and including
varied, which include
varied and which include
NO CHANGE (Correct answer)

Correct answer: NO CHANGE

The choice 'NO CHANGE' is correct because the original phrasing 'varied, including' is grammatically sound and maintains a clear, concise sentence pattern. It effectively introduces a list of examples that illustrate the variety. Other options might introduce awkward phrasing, redundancy, or grammatical errors, disrupting the flow and clarity.

Question 50: The author refers to reed warblers and sparrows (line 33) primarily to

provide examples of species that share one of the loggerhead turtle’s abilities. (Correct answer)
suggest that most animal species possess some ability to navigate long distances.
contrast the loggerhead turtle’s migration patterns with those of other species.
illustrate some ways in which the ability to navigate long distances can help a species.

Correct answer: provide examples of species that share one of the loggerhead turtle’s abilities.

The author refers to reed warblers and sparrows to provide comparative examples of other species that also possess the ability to navigate long distances, similar to the loggerhead turtle. This comparison helps to illustrate that the turtle's navigational skill, while remarkable, is not entirely unique in the animal kingdom, thus contextualizing the turtle's abilities.

Question 51: Which of the following equals 4.5 × 10⁻³?

0.0045 (Correct answer)
45000
4500
0.045

Correct answer: 0.0045

A negative exponent moves the decimal left. 4.5 × 10⁻³ = 4.5 ÷ 1000 = 0.0045.

Question 52: A researcher wanted to know if there is an association between exercise and sleep for the population of 16-year-olds in the United States. She obtained survey responses from a random sample of 2000 United States 16-year-olds and found convincing evidence of a positive association between exercise and sleep. Which of the following conclusions is well supported by the data?

Using exercise and sleep as defined by the study, an increase in sleep is caused by an increase of exercise for 16-year-olds in the world.
Using exercise and sleep as defined by the study, an increase in sleep is caused by an increase of exercise for 16-year-olds in the United States.
There is a positive association between exercise and sleep for 16-year-olds in the United States. (Correct answer)
There is a positive association between exercise and sleep for 16-year-olds in the world.

Correct answer: There is a positive association between exercise and sleep for 16-year-olds in the United States.

Because the researcher used a random sample of 16-year-olds *in the United States*, the findings can be generalized to the entire population of 16-year-olds in the United States. However, the study only found an 'association,' not causation, and it cannot be generalized to 16-year-olds worldwide. Therefore, the conclusion that there is a positive association between exercise and sleep for 16-year-olds in the United States is well supported.

Question 53: Which of the following is NOT an integer?

0
1/3 (Correct answer)
3/1
−5

Correct answer: 1/3

1/3 = 0.333… is a repeating decimal and cannot be expressed as a whole number, so it is not an integer.

Question 54: A road runs 3 miles north and then 4 miles east. How far is the endpoint from the start?

6 miles
7 miles
12 miles
5 miles (Correct answer)

Correct answer: 5 miles

Using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 miles.

Question 55: Which choice best maintains the sentence pattern already established in the paragraph?\t

planner’s job (Correct answer)
planners job
NO CHANGE
planners job,

Correct answer: planner’s job

The correct choice 'planner’s job' uses the apostrophe correctly to indicate singular possession. The job belongs to one planner, so the apostrophe comes before the 's.' This maintains grammatical accuracy and clarity within the sentence pattern established in the paragraph.

Question 56: An angle measuring 130° is classified as which type of angle?

Obtuse (Correct answer)
Right
Acute
Reflex

Correct answer: Obtuse

An obtuse angle measures between 90° and 180°, so 130° is obtuse.

Question 57: What is the probability of rolling a number greater than 4 on a standard six-sided die?

1/2
2/3
1/6
1/3 (Correct answer)

Correct answer: 1/3

Numbers greater than 4 are 5 and 6 — P = 2/6 = 1/3.

Question 58: The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown. Based on the line of best fit, what is the predicted height for someone with a first metacarpal bone that has a length of 4.45 centimeters?

169 centimeters
168 centimeters
171 centimeters
170 centimeters (Correct answer)

Correct answer: 170 centimeters

To find the predicted height for a metacarpal bone length of 4.45 centimeters, locate 4.45 on the x-axis (metacarpal bone length). Then, move vertically up from 4.45 until you intersect the line of best fit. From that intersection point, move horizontally to the left to read the corresponding value on the y-axis (height), which will be approximately 170 centimeters.

SAT Math Practice Test

The SAT Math section evaluates algebraic reasoning, problem solving, data analysis, and advanced math functions. It includes both a no-calculator and a calculator-permitted portion covering real-world and academic math scenarios.

Questions

80 min

Time Limit

70%

To Pass

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Exam Rules

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These practice questions were written with AI tools. They are not real exam questions. We have not yet matched this exam's facts to an official source, so confirm fees, dates and rules with the exam body. Not reviewed by a subject-matter expert. Editorial policy