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Worksheets

SAT Maths Revision

Total questions: 110

Worksheet time: 2hrs 32mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.
a)

A

b)

B

c)

C

d)

DS

3.
a)

A

b)

B

c)

C

d)

D

4.
a)

A

b)

B

c)

C

d)

D

5.
a)

A

b)

B

c)

C

d)

D

6.
a)

A

b)

B

c)

C

d)

D

7.
a)

A

b)

B

c)

C

d)

D

8.



(a)  

9.
a)

A

b)

B

c)

C

d)

D

10.



(a)  

11.
a)

A

b)

B

c)

C

d)

D

12.



(a)  

13.
a)

A

b)

B

c)

C

d)

D

14.



(a)  

15.
a)

A

b)

B

c)

C

d)

D

16.
a)

$12.06

b)

$12.60

c)

$12.72

d)

$18.00

e)

$19.20

17.
a)

5,000

b)

18,000

c)

20,000

d)

40,000

e)

50,000

18.
a)

5:14

b)

5:4

c)

9:5

d)

14:5

e)

Cannot be determined from the given information.

19.
a)

90

b)

80

c)

45

d)

30

e)

40

20.
a)

4

b)

10

c)

12

d)

28

e)

40

21.
a)

A

b)

B

c)

C

d)

D

22.
a)

A

b)

B

c)

C

d)

D

23.
a)

A

b)

B

c)

C

d)

D

24.
a)

A

b)

B

c)

C

d)

D

25.
a)

A

b)

B

c)

C

d)

D

26.
a)

A

b)

B

c)

C

d)

D

27.
a)

A

b)

B

c)

C

d)

D

28.



(a)  

29.



(a)  

30.
a)

A

b)

B

c)

C

d)

D

31.



(a)  

32.

Write your answer as a fraction.

(a)  

33.
a)

A

b)

B

c)

C

d)

D

34.
a)

A

b)

B

c)

C

d)

D

35.
a)

A

b)

B

c)

C

d)

D

36.
a)

A

b)

B

c)

C

d)

D

37.
a)

A

b)

B

c)

C

d)

D

38.
a)

A

b)

B

c)

C

d)

D

39.
a)

A

b)

B

c)

C

d)

D

40.
a)

A

b)

B

c)

C

d)

D

41.
a)

A

b)

V

c)

C

d)

D

42.

CALCULATOR

(a)  

43.

CALCULATOR

a)

A

b)

B

c)

C

d)

D

44.

CALCULATOR

a)

A

b)

B

c)

C

d)

D

45.
a)

A

b)

B

c)

C

d)

D

46.

CALCULATOR

a)

A

b)

B

c)

C

d)

D

47.
a)

A

b)

B

c)

C

d)

D

48.



(a)  

49.
a)

A

b)

B

c)

C

d)

D

50.
a)

A

b)

B

c)

C

d)

D

51.
a)

A

b)

B

c)

C

d)

D

52.
a)

A

b)

B

c)

C

d)

D

53.
a)

A

b)

B

c)

C

d)

D

54.
a)

A

b)

B

c)

C

d)

D

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

57.
a)

A

b)

B

c)

C

d)

D

58.
a)

A

b)

B

c)

C

d)

D

59.
a)

A

b)

B

c)

C

d)

D

60.
a)

A

b)

B

c)

C

d)

D

61.
a)

A

b)

B

c)

C

d)

D

62.



(a)  

63.



(a)  

64.

Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?

NO CALC.

a)

12x + 9.5y ≤ 220

x +y ≥ 20

b)

12x + 9.5y ≤ 220

x + y ≤ 20

c)

12x + 9.5y ≥ 220

x + y ≤ 20

d)

12x + 9.5y ≥ 220

x + y ≥ 20

65.

What are the solutions of the quadratic equation 4x2  − 8x − 12 = 0 ?

NO CALC.

a)

x= -1

x= -3

b)

x= -1

x= 3

c)

x= 1

x= -3

d)

x= 1

x= 3

66.

y= x2

2y + 6= 2(x+3)

If ( x, y ) is a solution of the system of equations above and x > 0, what is the value of xy ?

NO CALC.

a)

1

b)

2

c)

3

d)

9

67.

To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)

YES CALC.

a)

7.5

b)

10

c)

50.5

d)

120

68.

Which of the following is an equivalent form of (1.5x − 2.4)2 − (5.2x2 − 6.4) ?

YES CALC.

a)

−2.2x2 + 1.6

b)

−2.2x2 + 11.2

c)

−2.95x2− 7.2x + 12.16

d)

−2.95x2 − 7.2x + 0.64

69.

A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?

I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.

II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city

NO CALC.

a)

None

b)

II only

c)

I and II only

d)

I and III only

70.

Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?

YES CALC.

a)

$350,000

b)

$291,700

c)

$233,300

d)

$175,000

71.

In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

YES CALC.

a)

16,200

b)

23,400

c)

30,600

d)

46,800

72.

y ≤ 3x +1

x − y >1

Which of the following ordered pairs ( x, y ) satisfies the system of inequalities above?

NO CALC.

a)

(-2, -1)

b)

(-1, 3)

c)

(1,5)

d)

(2,-1)

73.

-2x + 3y=6

In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?

NO CALC.

a)

3x+2y=6

b)

3x+4y=6

c)

2x+4y=6

d)

2x+6y=3

74.

An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?

NO CALC.

a)

2

b)

3

c)

4

d)

5

75.

The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?

NO CALC.

a)

y=nx+b

b)

y=nx-b

c)

y=b(n)x

d)

y=n(b)x

76.
What is the ratio to the picture shown, triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
77.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
78.
Determine if the ratios are proportional.
4/5 and 15/20
a)
Yes
b)
No
79.
Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18
a)
TRUE
b)
FALSE
c)
dont know
d)
none of these
80.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
81.
Solve for n
12/6 =  4/n
a)
n=4
b)
n=2
c)
n=3
d)
n=6
82.
Solve the proportion.
a)
20
b)
7
c)
22
d)
11
83.
Solve the proportion.
a)
17.5
b)
15
c)
8
d)
14
84.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
To multiply two fractions 
c)
A number over another number
d)
Two decimals that can be multiplied
85.
A class has 30 students. 18 are boys. What is the ratio of boys to girls?
a)
12:18
b)
3:2
c)
30:18
d)
18:7
86.

Which of the following is the ordinate of the vertex of the function f(x)=2x28x+3?f\left(x\right)=2x^2-8x+3?  

a)

2

b)

0.5

c)

-5

d)

-8

87.

 Let the function f be defined as   5x2 7(4x+3)5x^{2\ }-7\left(4x+3\right) What is the value of f(3) ? 

a)

-18

b)

-26

c)

-33

d)

-60

e)

-75

88.

The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

a)

1

b)

4

c)

5

d)

6

e)

75

89.

What is the sum of the solutions of the 2 equations below? 
8x = 128x\ =\ 12  
2y + 10 = 22

a)

25\frac{2}{5}  

b)

12\frac{1}{2}  

c)

9

d)

10

e)

17  12\frac{1}{2}  

90.

What is the slope of the line through (−2,1) and (2,−5) in the standard (x,y) coordinate plane?

a)

32\frac{3}{2}

b)

1

c)

-1

d)

32-\frac{3}{2}

e)

-4

91.

Zhan Lei Spent $20.00 during his last outing at the bowling alley. This included a one time show rental fee of $3.50. He spent the rest of the money on bowling a number of games. If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, how much did it cost per game?

a)

$3.00

b)

$5.50

c)

$6.67

d)

$7.34

92.

If y:z is equal to 1:3 and z:a is equal to 2:3, what ratio is equal to y:a?

a)

2:9

b)

1:3

c)

1:2

d)

2:3

93.

For what value of x is the equation  2(2x+7) = 2152^{\left(2x+7\right)}\ =\ 2^{15}  true?

a)

2

b)

4

c)

11

d)

16

e)

44

94.

 Let the function f be defined as   5x2 7(4x+3)5x^{2\ }-7\left(4x+3\right) What is the value of f(3) ? 

a)

-18

b)

-26

c)

-33

d)

-60

e)

-75

95.

When x = 12x\ =\ \frac{1}{2}  , what is the value of , what is the value of  8x 3x?\frac{8x\ -3}{x}?  

a)

12\frac{1}{2}  

b)

2

c)

52\frac{5}{2}  

d)

5

e)

10

96.

In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph. Kirk was fined for traveling at what speed, in miles per hour?

a)

13

b)

17

c)

43

d)

47

e)

60

97.

What is the sum of the solutions of the 2 equations below? 
8x = 128x\ =\ 12  
2y + 10 = 22

a)

25\frac{2}{5}  

b)

12\frac{1}{2}  

c)

9

d)

10

e)

17  12\frac{1}{2}  

98.

In the standard (x,y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5 ?

a)

47-\frac{4}{7}

b)

47\frac{4}{7}

c)

74\frac{7}{4}

d)

4

e)

7

99.

Which of the following expressions, when evaluated, equals an irrational number

a)

28\frac{\sqrt{2}}{\sqrt{8}}

b)

82\frac{\sqrt{8}}{\sqrt{2}}

c)

(8)2\left(\sqrt{8}\right)^2

d)

2×8\sqrt{2}\times\sqrt{8}

e)

2+8\sqrt{2}+\sqrt{8}

100.

A painter will paint n walls with the same size and shape in a building using a specific brand of paint. The painter’s fee can be calculated by the expression nKAh, where n is the number of walls, K is a constant with units of dollars per square foot, l  is the length of each wall in feet, and h is the height of each wall in feet. If the customer asks the painter to use a more expensive brand of paint, which of the factors in the expression would change?

a)

h

b)

l

c)

k

d)

n

101.

If 3r = 18 , what is the value of 6r +3?

a)

6

b)

27

c)

36

d)

39

102.

Which of the following is equal to a23a^{\frac{2}{3}}   , for all values of a ?

a)

a13\sqrt[]{a^{\frac{1}{3}}}  

b)

a3\sqrt[]{a^3}  

c)

a123\sqrt[3]{a^{\frac{1}{2}}}  

d)

a23\sqrt[3]{a^2}  

103.

The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900. If 30 states joined the United States between 1776 and 1849 and x states joined between 1850 and 1900, which of the following equations is true?

a)

30x= 2

b)

2x = 30

c)

x/2 = 30

d)

x + 30 = 2

104.

If 5x=15x+20\frac{5}{x}=\frac{15}{x+20}  , what is the value of x5\frac{x}{5}  ?

a)

10

b)

5

c)

2

d)

1/2

105.

The function f is defined by a polynomial. Some values of x and f(x) are shown in the table above. Which of the following must be a factor of f(x) ?

a)

x2x-2  

b)

x3x-3  

c)

x4x-4  

d)

x5x-5  

106.

The line y = kx + 4, where k is a constant, is graphed in the xy-plane. If the line contains the point (c, d), where c ≠ 0 and d ≠ 0, what is the slope of the line in terms of c and d ?

a)

d4c\frac{d-4}{c}  

b)

c4d\frac{c-4}{d}  

c)

4dc\frac{4-d}{c}  

d)

4cd\frac{4-c}{d}  

107.

kx3y=4kx-3y=4   

4x5y=74x-5y=7  

In the system of equations above, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?

a)

125\frac{12}{5}  

b)

167\frac{16}{7}  

c)

167-\frac{16}{7}  

d)

125-\frac{12}{5}  

108.

In the xy-plane, the parabola with equation y=(x11)2y=\left(x-11\right)^2  intersects the line with equation y = 25 at two points, A and B. What is the length of AB\overline{AB}  ?

a)

10

b)

12

c)

14

d)

16

109.

In the figure above, lines k, A , and m intersect at a point. If x + y = u + w, which of the following must be true?

I. x= z

II. y = w

III. z = t

a)

I and II only

b)

I and III only

c)

II and III only

d)

I, II, and II

110.

Solve

a)

-16

b)

-3

c)

3

d)

16