SAT Mathematics Practice Test 1

38 Questions  Settings  • 1.
If x, y and z are three consecutive odd integers such that 10< x < y < z< 20 and if y and z are prime numbers, what is the value of x + y?
• A.

24

• B.

27

• C.

19

• D.

32

• E.

15

• 2.
If p > 0, which of the following is equal to √48p3
• A.

4p√3p

• B.

3p√4p

• C.

2√12p

• D.

3√8p

• E.

16p√3p

• 3.
If 40% of x is equal to 30% of y, what % is x of y?
• A.

50%

• B.

75%

• C.

175%

• D.

20%

• E.

40%

• 4.
If 4(3x - 3) = 24, what is 5x - 5?
• A.

10

• B.

6

• C.

24

• D.

3

• E.

4

• 5.
The average of 11 numbers is 21 . The average of seven of those numbers is 25. What is the average of the remaining four numbers?
• A.

4

• B.

12

• C.

14

• D.

21

• E.

25

• 6.
Which of the following is equivalent to 6x 2 + x - 12 ?
• A.

(2x + 3)(3x - 4)

• B.

(2x - 3)(3x - 4)

• C.

(2x + 3)(3x + 4)

• D.

(6x + 3)(x - 12)

• E.

(x + 3)(2x - 12)

• 7.
• A.

81

• B.

40

• C.

72

• D.

9

• E.

18

• 8.
If 2 dots are equal to 3 dashes and 5 dashes equal to 7 stars, what is the ratio of one dot to one star?
• A.

10 ⁄ 21

• B.

3 ⁄ 5

• C.

5 ⁄ 3

• D.

21 ⁄ 10

• E.

2 ⁄ 3

• 9.
A social welfare organization spends 40% of the funds collected towards old-age homes. If during an year 1.6 million dollars was spent on old-age homes, what is the total amount of funds collected in millions of dollars?
• A.

4.0

• B.

6.0

• C.

4.6

• D.

40.0

• E.

1.6

• 10.
In the given figure, Note: Figure not drawn to scale.
• A.

130 degrees

• B.

90 degrees

• C.

100 degrees

• D.

30 degrees

• E.

160 degrees

• 11.
Solve for x:
• A.

12 < x < 13

• B.

-12 < x < -13

• C.

-5 < x < -5

• D.

-25 < x < 25

• E.

-12 < x < 13

• 12.
A car travels a distance of 250 miles, 700 miles and 325 miles at the rate of 50 miles/hr, 35 miles/hr and 13 miles/hr respectively.Find the average speed of the car in miles/hr.
• A.

30

• B.

25.5

• C.

42.5

• D.

13

• E.

50

• 13.
• A.

9

• B.

7

• C.

5

• D.

8

• E.

11

• 14.
In a class of 30 students, 14 take tea and 20 take coffee. How many take both tea and coffee?
• A.

16

• B.

10

• C.

14

• D.

30

• E.

4

• 15.
• A.

25 square units

• B.

30 square units

• C.

36 square units

• D.

20 square units

• E.

15 square units

• 16.
• A.

45

• B.

17

• C.

64

• D.

34

• E.

10

• 17.
In a store
• A.

15

• B.

24

• C.

150

• D.

100

• E.

240

• 18.
Each month for 6 months the price of a commodity is doubled. At the end of the 6 months the price of the commodity is \$640. What was the price of the commodity at the end of 3 months?
• A.

\$100

• B.

\$120

• C.

\$80

• D.

\$320

• E.

\$160

• 19.
Alda can complete a test in  .
• A.

N

• B.

Ab

• C.

Nab

• D.

A

• E.

B

• 20.
An operation * is defined as follows: For any two positive numbers x and y,
• A.

11 * 4

• B.

4 * 9

• C.

4 * 16

• D.

7 * 4

• E.

9 * 9

• 21.
• A.

A. x = 0

• B.

B. y = 0

• C.

C. x > 0 and y < 0

• D.

D. x < 0 and y > 0

• E.

E. x > 0 and y > 0

• 22.
In the given figure, EB is perpendicular to FC, and AD and EB intersect at point F. What is the value of  Note: Figure not drawn to scale.
• A.

A. 50 degrees

• B.

B. 40 degrees

• C.

C. 100 degrees

• D.

D. 90 degrees

• E.

E. 180 degrees

• 23.
At what point will 12x2 + 5x + 1 attain the minimum value?
• A.

A. 5 ⁄ 24

• B.

B. -5 ⁄ 24

• C.

C. 15 ⁄ 8

• D.

D. 24 ⁄ 5

• E.

E. 8 ⁄ 1

• 24.
• A.

A. x + y

• B.

B. x - y

• C.

C. x + y + 1

• D.

D. xy

• E.

E. xy + 3

• 25.
How many positive integers less than 80 are equal to the product of a positive multiple of 5 and an even number?
• A.

A. 3

• B.

B. 5

• C.

C. 15

• D.

D. 9

• E.

E. 7

• 26.
Find the equation of the line through (2, 3) perpendicular to 4x - 3y=10.
• A.

A. 4x - 3y = 18

• B.

B. 4x - 3y = -18

• C.

C. 3x + 4y = -18

• D.

D. 3x + 4y = 18

• E.

E. 4x + 3y = 18

• 27.
A wire bent in the form of a circle of radius 21units is cut and bent to form a square. What is the ratio of area of circle to that of the square?
• A.

A. 11:15

• B.

B. 11:14

• C.

C. 15:11

• D.

D. 21:22

• E.

E. 14:11

• 28.
If a function f(x) is defined by
• A.

A. x + 1

• B.

B. x

• C.

C. x - 1

• D.

D. x + 3

• E.

E. x - 3

• 29.
A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?
• A.

A. 30

• B.

B. 25

• C.

C. 35

• D.

D. 27

• E.

E. 125

• 30.
A shopkeeper has three kinds of rice of 77 pounds, 147 pounds and 252 pounds. Find the least number of bags of equal size required to pack them without mixing.
• A.

A. 68

• B.

B. 46

• C.

C. 88

• D.

D. 36

• E.

E. 6

• 31.
A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8 and 16, what is the surface area of the cube?
• A.

A. 176

• B.

B. 392

• C.

C. 284

• D.

D. 388

• E.

E. 384

• 32.
Twenty persons, among whom A and B, sit at random around a round table. Find the probability that there are any 6 persons between A and B.
• A.

A. 2/17

• B.

B. 2/19

• C.

C. 2/15

• D.

D. 3/19

• E.

E. 5/19

• 33.
In the given figure, AB is parallel to CD.
• A.

A. 99

• B.

B. 97

• C.

C. 93

• D.

D. 91

• E.

E. 89

• 34.
The flowers in a basket become double after every minute. In one hour, the basket becomes full. After how many minutes the basket would be half filled?
• A.

A. 59

• B.

B. 19

• C.

C. 36

• D.

D. 26

• E.

E. 63

• 35.
In the given figure,
• A.

A. 150

• B.

B. 120

• C.

C. 115

• D.

D. 125

• E.

E. 130

• 36.
A person had 72 mangoes, he had given them to three persons A, B and C, in such a manner that A got thrice as many as B, and the sum total of mangoes A and B got was 60. He had given the remaining mangoes to C. Express in decimal the fraction of mangoes C got out of the total.
• A.

A. 0.267

• B.

B. 0.347

• C.

C. 0.159

• D.

D. 0.359

• E.

E. 0.167

• 37.
What will be the value of x, if 8x+2 = 24x-3?
• A.

A. 0.9

• B.

B. 1.9

• C.

C. 18

• D.

D. 9

• E.

E. 11

• 38.
A monkey climbs a slippery pole by thrusts. The pole is 30 feet high. With every thrust, it goes up 5 feet in 5 seconds and slips down 3 feet in 1 second. How many seconds will it take to climb the pole?
• A.

A. 74

• B.

B. 82

• C.

C. 94

• D.

D. 78

• E.

E. 92

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