Free Printable SAT MATH SECTION Practice 1

1.

a)

x/2

b)

(25x)/9

c)

x/(2y^2)

d)

x/(4y^2)

2.

What is the sum of 3b(b-4) and 6(b-8)?

a)

3b(1−2b−16)

b)

3b(b−2−16)

c)

3(b^2−2b−16)

d)

3(b^2−2−16b)

3.

a)

7c^3+9c^2−3c

b)

7c^3+c^2−3c

c)

−7c^3+c^2+9c

d)

−7c^3−9c^2+9c

4.

Given the polynomial function defined above, what are its zeros?

a)

-9, -6, 2, 3

b)

-9, 0, 2

c)

-3, 3

d)

-3, 0, 3

5.

a)

P(x)=x^2+6x+8

b)

P(x)=x^3+6x^2+8x

c)

P(x)=x^2−6x+8

d)

P(x)=x^3−6x^2+8x

6.

A polynomial has zeros at -9, 2, and 0. Which of the following could be the polynomial?

a)

x2−7x−18

b)

x^3+7x^2−18x

c)

x^3+8x^2−11x−18

d)

x^3+6x^2−25x+18

7.

Let g(x)=8x-5. Which of the following is equivalent to g(g(x))?

a)

64x−10

b)

64x−45

c)

64x^2+25

d)

64x^2−80x+25

8.

C = 1.2272M + 3.0556F

An English teacher uses the equation above to give the composite score, C, on the final exam, given M correct multiple choice answers and F points on the free response questions. Which of the following equations correctly gives the number of correct multiple choice answers in terms of the composite score and the number of points on the free response questions?

a)

M = (C − 3.0556F)/1.2272

b)

M = (C/1.2272) − 3.0556F

c)

M = (3.0556F − C)/1.2272

d)

M = (3.0556F/1.22722) − C

9.

(a+b+c)²

Which of the following is equivalent to the above expression?

a)

a²+b²+c²+2(ab+bc+ca)

b)

a²+b²+c²

c)

a²+2abc+c²

d)

a²+2ab+b²+2bc+c²

10.

Which of the following represents all solutions (x,y) to the system of equations shown below?
y = x - 2
y = x²- x - 5

a)

(3, -1)

b)

(-3, 1)

c)

(-3, -5) and (1, -1)

d)

(3, 1) and (-1, -3)

11.

−7x² = (y+5)(y−5)
5y = 15x
If (a,b) is a solution to the system of equations shown above and a>0, what is the value of a?

a)

1/2

b)

1

c)

5/4

d)

3

12.

a)

(-1, 1)

b)

(0, 2)

c)

(0, 2) and (2, 4)

d)

(-1, 1), (1, 1), (0, 2) and (2, 4)

13.

(2x−3)(x+4)=0
Let x=a and x=b be the solutions to the equation above. What is the value of a + b?

a)

-5/2

b)

-1/2

c)

5/2

d)

9.5

14.

a)

260

b)

2945

c)

7000

d)

9500

15.

a)

4 cm

b)

8 cm

c)

12.5 cm

d)

15.9 cm

16.

a)

1 second

b)

2 seconds

c)

4 seconds

d)

8 seconds

17.

a)

1 - 0.25²⁶

b)

1.25²⁶ - 1

c)

(26)(1.25)

d)

(26)(0.25)

18.

a)

9

b)

11

c)

18

d)

19

19.

a)

-13

b)

-3

c)

3

d)

13

20.

a)

-3

b)

0

c)

1

d)

2

21.

a)

-1 and 0

b)

0 and 1

c)

1 and 2

d)

2 and 3

22.

If x > 0 and 2x² + 3x − 2 = 0, what is the value of x?

a)

-2

b)

0

c)

1/2

d)

1

23.

What is the sum of the solutions of (2x − 1)² = (x + 2)² ?

a)

-3

b)

0

c)

8/3

d)

10/3

24.

A researcher estimates that the population of a city is declining at an annual rate of 0.6%. If the current population of the city is 80,000, which of the following expressions appropriately models the population of the city t years from now according to the researcher’s estimate?

a)

80,000(1 − 0.006)^t

b)

80,000(1 − 0.006^t)

c)

80,000 − 1.006^t

d)

80,000(0.006^t)

25.

If g(x) = 2x + 1 and f(x) = g(x) + 4, what is f(2)?

a)

5

b)

6

c)

9

d)

11

26.

a)

-2

b)

-1

c)

0

d)

1

27.

x/32 = 3/8

a)

3

b)

8

c)

12

d)

24

28.

A sandwich at a shop has 3.5 times as many calories as its deluxe chocolate brownie. An order of two sandwiches and 3 deluxe chocolate brownies has 2100 calories. How many calories are in one deluxe chocolate brownie?

a)

140

b)

180

c)

210

d)

735

29.

9 is 15% of what number?

a)

5/3

b)

14.5

c)

60

d)

145

30.

What is 30% of 120?

a)

36

b)

40

c)

84

d)

360

31.

Solve for x.

5x + 12 = 15x - 18

a)

0

b)

1

c)

3

d)

4

32.

A train leaves Cowville traveling east at 120 miles per hour, and another train leaves Cowville at the same time traveling west. After 6 hours, they are 1260 miles apart. How fast is the westbound train traveling?

a)

60

b)

70

c)

80

d)

90

33.

Solve the inequality.

-5x - 9 > -x + 7

a)

x > 4

b)

x > -4

c)

x < 4

d)

x < -4

34.

Find the slope between the given points:

(-3, 4) and (5, -6)

a)

4/5

b)

-4/5

c)

5/4

d)

-5/4

35.

Select the equation that contains these two points:

(-1, -5) and (1, 3)

a)

y = 4x - 1

b)

y = (1/4)x - 1

c)

y = (1/4)x + 1

d)

y = 4x + 1

36.

The equation y = (1/3)x + 4 defines a line. Which of these equations defines a line that is perpendicular to the first?

a)

y = (1/3)x - 2

b)

y = -(1/3)x + 5

c)

y = 3x - 5

d)

y = -3x + 2

37.

A YouTuber starts the year with 1000 followers and plans to add 250 followers each month. Which equation represents the growth in the number of followers?

a)

f = 1000m + 250

b)

f = 250m + 1000

c)

f = m(250+1000)

d)

f = (1000/m) + 250

38.

What is the distance between the points (-1, -4) and (4, 8)?

a)

7

b)

12

c)

13

d)

17

39.

What is the midpoint of these two points?

(-3, 4) and (5, 0)

a)

(4, 2)

b)

(4, 0)

c)

(1, 2)

d)

(8, 4)

40.

The function y = 2x is shifted vertically 7 units upward. Which equation represents the resulting function?

a)

y = 2x + 7

b)

y = 2x - 7

c)

y = 2(x - 7)

d)

y = 2(x + 7)

41.

The function y = -5x is shifted 3 units left. Which equation represents the resulting function?

a)

y = -5x + 3

b)

y = -5x - 3

c)

y = -5(x + 3)

d)

y = -5(x - 3)

42.

What is the probability of rolling a 6 on a fair six-sided die?

a)

1/3

b)

1/2

c)

1/4

d)

1/6

43.

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a blue ball?

a)

1/10

b)

2/10

c)

4/10

d)

3/10

44.

In a class of 30 students, 15 are boys and 15 are girls. If a student is selected at random, what is the probability of selecting a boy?

a)

1/2

b)

2/3

c)

1/4

d)

1/3

45.

A box contains 8 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability of drawing a red or blue marble?

a)

5/15

b)

7/15

c)

12/15

d)

8/15

46.

In a survey, 60% of people prefer coffee and 40% prefer tea. If a person is selected at random, what is the probability that they prefer tea?

a)

0.6

b)

0.8

c)

0.2

d)

0.4

47.

A spinner is divided into 8 equal sections numbered from 1 to 8. What is the probability of spinning an odd number?

a)

1/4

b)

1/2

c)

3/8

d)

5/8

48.

In a deck of cards, what is the probability of drawing a heart?

a)

1/2

b)

1/3

c)

1/5

d)

1/4

49.

A bag contains 4 red balls, 5 blue balls, and 6 green balls. If a ball is drawn at random, what is the probability of drawing a blue or green ball?

a)

0.55

b)

0.75

c)

0.65

d)

0.45

50.

In a class of 25 students, 10 are boys and 15 are girls. If a student is selected at random, what is the probability of selecting a girl?

a)

1/5

b)

2/5

c)

4/5

d)

3/5

51.

A box contains 7 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability of drawing a red or green marble?

a)

2/3

b)

3/4

c)

1/4

d)

5/6

52.

Simplify:

16 ÷ (4 ⋅ 2 - 7)

a)

-5

b)

1

c)

-1

d)

16

53.

4.032

a)

Rational

b)

Irrational

54.

Which PEMDAS math sentence says the following:

The difference of 8 and 7, multiplied by 4 (Be careful)!

a)

(8 ⋅ 7) - 4

b)

8 - 7 ⋅ 4

c)

8 - (7 ⋅ 4)

d)

4(8 - 7)

55.

√31

a)

Rational

b)

Irrational

56.

The equation $9x+5=a\left(x+b\right)$ , where $a$ and $b$ are constants, has no solutions. Which of the following must be true?
I. $a=9$
II. $b=5$
III. $b\ne\frac{5}{9}$

a)

None

b)

I only

c)

I and II only

d)

I and III only

57.

The table shows some values of x and their corresponding values $f\left(x\right)$ for the linear function $f.$ What is the x-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

a)

$\left(-3,\ 0\right)$

b)

$\left(-4,\ 0\right)$

c)

$\left(-9,\ 0\right)$

d)

$\left(-12,\ 0\right)$

58.

The equation above is true for all $x>2,$ where $r$ and $t$ are positive constants. What is the value of $rt$ ?

a)

$-20$

b)

$15$

c)

$20$

d)

$60$

59.

In the expression above, $b$ and $c$ are positive integers. If the expression is equivalent to $x+b$ and $x\ne b,$ which of the following could be the value of $c$ ?

a)

$4$

b)

$6$

c)

$8$

d)

$10$

60.

In the equation above, $t$ is a constant. If the equation has no real solutions, which of the following could be the value of $t$ ?

a)

$-3$

b)

$-1$

c)

$1$

d)

$3$

61.

How many distinct real solutions does the given equation have?

a)

Exactly one

b)

Exactly two

c)

Infinitely many

d)

Zero

62.

a)

A

b)

B

c)

C

d)

D

e)

E

63.

a)

A

b)

B

c)

C

d)

D

e)

E

64.

a)

A

b)

B

c)

C

d)

D

e)

E

65.

a)

A

b)

B

c)

C

d)

D

e)

E

66.

If this is a right triangle, find the measure of x to the nearest hundredth.

a)

42°

b)

41.98°

c)

41.99°

d)

45°

67.

a)

10

b)

20

c)

30

d)

40

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

e)

E

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

(a)

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

a)

A

b)

B

c)

C

d)

D

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

3 yds

b)

6 yds

c)

9 yds

d)

18 yds

81.

a)

105 degrees

b)

75 degrees

c)

30 degrees

d)

135 degrees

82.

6w + 14 = kw + 7

In the given equation, k is a constant. If the equation has exactly one solution, which of the following CANNOT be the value of k?

a)

1

b)

6

c)

7

d)

14

83.

If $u\ -\ 3$ = $\frac{6}{t\ -\ 2}$ , what is t in terms of u?

a)

$t\ =\ \frac{6}{t-u}$

b)

$t\ =\ \frac{2u\ -\ 9}{u}$

c)

$t\ =\ \frac{1}{u-3}$

d)

$t\ =\ \frac{2u}{u-3}$

84.

$2x^2\ +\ 5x\ -12$

If the given expression is rewritten in the form (2x - 3)(x + k) where k is a constant, what is the value of k?

(a)

85.

If $x\ >\ 0$ , which of the following is equivalent to $\frac{1}{x}+\frac{1}{2x}$ ?

a)

$\frac{1}{x}$

b)

$\frac{1}{2x}$

c)

$\frac{3}{2x}$

d)

$\frac{2}{3x}$

86.

$y\ >\ 4x$

$y\ <\ -x$

When graphed in the xy plane, what point (x, y) is a solution to the given system of inequalities?

a)

(1, 1)

b)

(-2, -2)

c)

(3, -3)

d)

(-4, 4)

87.

$x^{2\ }-\ 10x\ +\ y^{2\ }+\ 6y\ =\ 2$

The graph in the xy-plane of the equation above is a circle. What are the coordinates of the center of the circle?

a)

(-5, -3)

b)

(-5, 3)

c)

(5, -3)

d)

(5, 3)

88.

$y\ =\ \left(x-1\right)\left(x+1\right)\left(x+2\right)$

The graph in the xy-plane of the equation above contains the point (a, b).

If $-1\le a\le1$ , which of the following is NOT a possible value of b?

a)

-2

b)

-1

c)

0

d)

1

89.

$4T\ -\ 8D\ =\ 12H$

The given equation can be rewritten as $T\ =\ aD\ +bH$ , where a and b are constants. What is the value of a?

(a)

90.

$\frac{1}{2}x+5\ =\ kx+7$

In the given equation, k is a constant. The equation has no solution. What is the value of k?

(a)

91.

$3x^2+x-2\ =\ 0$

The solutions to the quadratic equation above are a and b. What is the value of

a + b ?

You can use a calculator

a)

$-\frac{5}{3}$

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

$\frac{5}{3}$

92.

The function g is a linear function with g (0) = u and

g (2) = 3u , where u is a positive constant. Which of the following defines g (x)?

a)

g (x) = ux

b)

g (x) = u + x

c)

g (x) = ux + u

d)

g (x) = 2ux + u

93.

if $x^2\ =\ a+b$ and $y^2\ =\ a+c$ , which of the following is equal to $\left(x^{2\ }-y^2\right)^2$ ?

a)

$a^2-2ac+c^2$

b)

$b^2-2bc+c^2$

c)

$4a^2-4abc+c^2$

d)

$4a^2-2abc+b^2c^2$

94.

$D=T-\frac{9}{25}\left(100-H\right)$

The formula above can be used to approximate the dew point D, in degrees Fahrenheit, given the temperature T, in degrees Fahrenheit, and the relative humidity oh H percent, where H > 50. Which of the following expresses the relative humidity in terms of the temperature and the dew point?

a)

$H=\frac{25}{9}\left(D-T\right)+100$

b)

$H=\frac{25}{9}\left(D-T\right)-100$

c)

$H=\frac{25}{9}\left(D+T\right)+100$

d)

$H=\frac{25}{9}\left(D+T\right)-100$

95.

$c=\frac{x}{y}$

The given equation relates the variables c, x, and y, where c > 0, x > 0, and y > 0. Which equation correctly expresses y in terms of c and x ?

a)

$y=cx$

b)

$y=\frac{1}{cx}$

c)

$y=\frac{c}{x}$

d)

$y=\frac{x}{c}$

96.

$y=2x+5$

$y=kx+3$

In the given system of equations, k is a constant. The system has exactly one solution. Which of the following could be the value ok k ?

I. 2

II. 5

a)

I only

b)

II only

c)

I and II

d)

Neither I nor II

97.

In the xy-plane, the graph of $y=\frac{1}{2}x+b,$ where b is a constant, intersects the x-axis at (-6, 0). What is the value of b?

(a)

98.

$x^2-8x+y^2-10y=40$

In the xy-plane, the graph of the given equation is a circle. What is the radius of this circle?

(a)

99.

$\left(\sqrt[]{x^3}\right)^a$ , where $x\ge0$

In the given expression, a is a constant. The expression is equivalent to $x^6\ ,$ where $x\ge0.$ What is the value of a ?

(a)

100.

$2a+b=17$

$a+2b=19$

The solution to the given system of equations is (a, b). What is the value of $3a+3b$ ?

a)

2

b)

6

c)

22

d)

36

101.

$x^2-2x+c=0$

In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c ?

a)

-2

b)

0

c)

1

d)

2

102.

$f\left(x\right)=x^2+bx$

$g\left(x\right)=3x^2-9x$

The functions f and g are defined above, where b is a constant. If $f\left(x\right)\cdot g\left(x\right)=3x^4-8x^3-3x^2\ ,$ what is the value of b ?

(a)

103.

The table above shows some values of the linear function g. Which of the following defines g?

a)

g(x) = −2x − 10

b)

g (x) = (− x/2) − 5

c)

g (x) = (− x/2) − 2

d)

g(x) = 4x − 10

104.

The figure above is the graph of f(x) in the xy-plane. The function g is defined as f(x − 2). At what value of x is g(x) = 3?

(a)

105.

If function f satisfies f(5) = 7 and f(6) = 10, and function g satisfies g(6) = 6 and g(10) = 5, what is the value of f(g(6))?

(a)

106.

The graph of y = f(x) is shown in the xy-plane. What is the value of f(x) when 2x + 5 = 11?

(a)

107.

Given the function above and that k > 0, which of the following could be the graph of y = f(x) in the xy-plane?

a)

b)

c)

d)

108.

The table on the left shows some values of the quadratic function k. Which of the following defines k?

a)

$-m^2\ -\ 10m\ -\ 21$

b)

$-m^2\ +\ 10m\ -\ 21$

c)

$-m^2\ +\ 10m\ +\ 21$

d)

$m^{2\ }-10m\ -\ 21$

109.

The function f on the left is undefined for which of the following values of x?

a)

-4

b)

-3

c)

-2

d)

4

110.

The table on the left shows some values of the quadratic function j. Which of the following defines j?

a)

$j\left(x\right)\ =\ \left(x+2\right)^2\ +\ 26$

b)

$j\left(x\right)\ =\ \left(x-18\right)^2$

c)

$j\left(x\right)\ =\ \left(x+2\right)\left(x+9\right)$

d)

$j\left(x\right)\ =\ \left(x-2\right)\left(x-9\right)$

111.

Some values of the linear function f are shown in the table on the left. What is the value of f(6)?

a)

4

b)

6

c)

8.5

d)

10

112.

The table on the left shows some values of the exponential function f. Which of the following could be f?

a)

$f\left(x\right)\ =\ x^{2\ }+\ 1$

b)

$f\left(x\right)\ =\ x^2\ +\ 2$

c)

$f\left(x\right)\ =\ 2^x\ +1$

d)

$f\left(x\right)\ =\ 2^{\left(x+1\right)}$

113.

The graph of the function g in the xy-plane, where y = g(x), has a y-intercept of −k, where k is a positive constant. Which of the following could define the function g?

a)

g(x) = −4dx

b)

$g\left(x\right)\ =\ -4\left(d\right)^x$

c)

$g\left(x\right)\ =\ \left(-4d\right)^x$

d)

$g\left(x\right)\ =\ 2x^2$

114.

If f(x) = 7x + 3 and f(x − b) = 7x − 18, what is the value of b?

(a)

115.

a)

Area of a Circle

b)

Circumference of a Circle

c)

Area of a Rectangle

d)

Area of a Triangle

116.

a)

Area of a Rectangle

b)

Area of a Circle

c)

Area of a Triangle

d)

The Pythagorean Theorem

117.

a)

Area of a Circle

b)

Circumference of a Circle

c)

Area of a Triangle

d)

The Pythagorean Theorem

118.

a)

Area of a Circle

b)

Circumference of a Circle

c)

Area of a Triangle

d)

The Pythagorean Theorem

119.

a)

Law: the number of degrees in a circle is 360

b)

Law: the number of radians in a circle is 2π

c)

Law: the number of degrees in a triangle is 180

d)

The Pythagorean Theorem

120.

a)

Law: the number of degrees in a triangle is 180

b)

Law: the number of radians in a circle is 2π

c)

Law: the number of degrees in a circle is 360

d)

Volume of a Cone

121.

a)

Law: the number of degrees in a circle is 360

b)

Volume of a Cone

c)

Circumference of a Circle

d)

Law: the number of degrees in a triangle is 180

122.

a)

Law: the number of radians in a circle is 2π

b)

Law: the number of degrees in a circle is 360

c)

Law: the number of degrees in a triangle is 180

d)

Properties of Special Right Triangle: 30, 60, 90 Degree Triangle

123.

a)

The Pythagorean Theorem

b)

Volume of a Pyramid

c)

Properties of Special Right Triangle: 30, 60, 90 Degree Triangle

d)

Properties of Special Right Triangle: Isosceles Triangle

124.

a)

Area of a Circle

b)

Area of a Triangle

c)

Volume of a Cylinder

d)

Properties of Special Right Triangle: Isosceles Triangle

125.

a)

Circumference of a Circle

b)

Volume of a Pyramid

c)

Properties of Special Right Triangle: 30, 60, 90 Degree Triangle

d)

The Pythagorean Theorem

126.

a)

Volume of a Pyramid

b)

Volume of a Rectangular Solid

c)

Law: the number of radians in a circle is 2π

d)

Circumference of a Circle

127.

a)

Volume of a Pyramid

b)

Properties of Special Right Triangle: Isosceles Triangle

c)

Volume of a Rectangular Solid

d)

Law

128.

a)

Volume of a Pyramid

b)

Volume of a Sphere

c)

Volume of a Rectangular Solid

d)

Area of a Rectangle

129.

a)

Law: the number of radians in a circle is 2π

b)

Area of a Triangle

c)

Volume of a Cone

d)

The Pythagorean Theorem

130.

What is the area, in square inches, of a rectangle with a length of 7 inches and a width of 6 inches?

a)

13

b)

20

c)

42

d)

84

131.

Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

a)

6

b)

10

c)

14

d)

24

132.

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

a)

149,796

b)

164,500

c)

190,955

d)

310,800

133.

The circle above with center O has a circumference of 36. What is the length of minor arc AC?

a)

9

b)

12

c)

18

d)

36

134.

The circle shown has center O, circumference 144π, and diameters $\overline{PR}$ and $\overline{QS}$ . The length of arc PS is twice the length of arc PQ. What is the length of arc QR?

a)

24π

b)

48π

c)

72π

d)

96π

135.

A circle in the xy-plane has equation (x+3)²+(y-1)²=25. Which of the following points does NOT lie in the interior of the circle?

a)

(-7,3)

b)

(-3,1)

c)

(0,0)

d)

(3,2)

136.

Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 18°, what is the measure of angle S?

a)

18°

b)

72°

c)

82°

d)

162°

137.

Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?

a)

3

b)

4

c)

8

d)

27

138.

In triangles LMN and RST, angles L and R each have measure 60°, LN = 10, and RT = 30. Which additional piece of information is sufficient to prove that triangle LMN is similar to triangle RST?

a)

MN = 7 and ST = 7

b)

MN = 7 and ST = 21

c)

The measures of angles M and S are 70° and 60°, respectively.

d)

The measures of angles M and T are 70° and 50°, respectively.

139.

A right triangle has legs with lengths of 11 centimeters and 9 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

a)

√40

b)

√202

c)

20

d)

202

140.

In triangle ABC above, what is the length of $\overline{AD}$ ?

a)

4

b)

6

c)

6√2

d)

6√3

141.

The length of a rectangle's diagonal is 3√17, and the length of the rectangle's shorter side is 3. What is the length of the rectangle's longer side?

(a)

142.

Quadrilateral P'Q'R'S' is similar to quadrilateral PQRS, where P, Q, R, and S correspond to P', Q', R', and S', respectively. The measure of angle P is 30°, the measure of angle Q is 50°, and the measure of angle R is 70°. The length of each side of P'Q'R'S' is 3 times the length of each corresponding side of PQRS. What is the measure of angle P'?

a)

10°

b)

30°

c)

40°

d)

90°

143.

What is the value of $\tan \frac{92\pi}{3}$ ?

a)

$-\sqrt{3}$

b)

$-\frac{\sqrt{3}}{3}$

c)

$\frac{\sqrt{3}}{3}$

d)

$\sqrt{3}$

144.

What is the area, in square centimeters, of a rectangle with a length of 34 centimeters (cm) and a width of 29 cm?

a)

986 cm²

b)

986 square centimeters

c)

986

d)

986 sq cm

145.

The graph of $x^2 + x + y^2 + y = \frac{199}{2}$ in the xy-plane is a circle. What is the length of the circle's radius?

a)

5

b)

7

c)

10

d)

14

146.

A cylinder has a diameter of 8 inches and a height of 12 inches. What is the volume, in cubic inches, of the cylinder?

a)

16π

b)

96π

c)

192π

d)

768π

147.

Which equation shows the relationship between the side lengths of the given triangle?

a)

4b = 19

b)

4 + b = 19

c)

$4^2 + b^2 = 19^2$

d)

$4^2 - b^2 = 19^2$

148.

In the figure, line m is parallel to line n, and line k intersects both lines. Which of the following statements is true?

a)

The value of x is less than 145.

b)

The value of x is greater than 145.

c)

The value of x is equal to 145.

d)

The value of x cannot be determined.

149.

A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form $3\sqrt{d}$ , where $d$ is an integer, what is the value of $d$ ?

a)

97

b)

145

c)

441

d)

113

150.

The area of a rectangle is 57 square inches. The length of the longest side of the rectangle is 19 inches. What is the length, in inches, of the shortest side of this rectangle?

a)

3 inches

b)

4 inches

c)

5 inches

d)

6 inches

151.

Triangle ABC is similar to triangle XYZ, such that A, B, and C correspond to X, Y, and Z respectively. The length of each side of triangle XYZ is 2 times the length of its corresponding side in triangle ABC. The measure of side AB is 16. What is the measure of side XY?

a)

14

b)

16

c)

18

d)

32

152.

Circle A in the xy-plane has the equation $(x + 5)^2 + (y - 5)^2 = 4$ . Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is $(x + 5)^2 + (y - 5)^2 = k$ , where $k$ is a constant. What is the value of $k$ ?

a)

4

b)

8

c)

12

d)

16

153.

Which of the following is true regarding the two lists of numbers shown in the table above?

a)

The means are the same, and the standard deviations are the same.

b)

The means are the same, and the standard deviations are different.

c)

The means are different, and the standard deviations are the same

d)

The means are different, and the standard deviations are different.

154.

The given bar graph shows the number of units sold per popcorn flavor in one morning at the local farmers market. For which two popcorn flavors is the ratio of the number of units sold 1:5?

a)

Lightly salted:kettle corn

b)

Kettle corn:cheese

c)

Jalapeño :butter

d)

Cheese:butter

155.

Rigo played 30 frames of five-pin bowling. Based on the given histogram, what was Rigo’s average number of pins knocked down per frame?

(a)

156.

If to correct for an error, the score for Team Archers was changed to 251, how does the change affect the mean and median score of the teams?

a)

Mean and median will both decrease.

b)

Mean will decrease, and median will increase.

c)

Mean will increase, and median will decrease.

d)

Mean and median will both increase.

157.

The given bar graph shows the average number of donated items per week at a thrift store for four categories. What is the positive difference between the median and the mean number of items donated per category?

(a)

158.

A gas station records the number of gallons of regular unleaded fuel dispensed over two weeks. The graph shows the number of gallons of fuel as a function of cost per gallon. For which price bracket is the range of gallons dispensed the greatest?

a)

$2.85 to $2.91

b)

$2.91 to $2.94

c)

$2.94 to $3.03

d)

$3.03 to $3.06

159.

Which age group’s ratio of action to romance is closest to the total’s ratio of action to romance?

a)

15–24

b)

25–34

c)

35–44

d)

45–54

160.

Two companies each randomly selected 25 employees and asked each of them how many vehicles they own. The results are shown in the table above. If there are a total of 575 employees at Company A and 825 employees at Company B, which of the following statements is most accurate?

a)

The total number of employees who own 3 vehicles at Company A is expected to be 2 more than at Company B.

b)

The total number of employees who own 3 vehicles at Company A is expected to be 36 more than at Company B.

c)

The total number of employees who own 3 vehicles at Company B is expected to be 36 more than at Company A.

d)

The total number of employees who own 3 vehicles is expected to be equal at the two companies.

SAT MATH SECTION Practice 1

Total questions: 160

Worksheet time: 4hrs 52mins

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