www.mathteacherprep.com

SAT Math Practice Test Time – 25 minutes

20 Questions Directions: For this section, solve each problem and decide which is the best of the choices given. Circle the correct answer on this test. You many use any available space for scratch work.

1. The use of a calculator is permitted. 2. All numbers used are real numbers. 3. Figures that accompany problems in this test are intended to provide information useful in solving the problems. They are drawn as accurately as possible EXCEPT when it is stated in a specific problem that the figure is not drawn to scale. All figures lie in a plane unless otherwise indicated. 4. Unless otherwise specified, the domain of any function f is assumed to be the set of all real numbers x for which f(x) is a real number.

1. Kawika can complete 4 problems in 5 minutes. At this rate, how many problems will he complete in an hour and a half. (A) 24 (B) 36 (C) 54 (D) 72 (E) 90

2. If 9x – 6 = 21, what is 3x – 2 ? (A) 10 (B) 8 (C) 7 (D) 5

(E) 2

5−

GO ON TO THE NEXT PAGE

www.mathteacherprep.com The difference of 2x and the square root of y is

equal to the square of the sum of x and y. 3. Which of the following is an expression for the statement above?

(A) 2)(2 yxyx +=−

(B) 2)(2 yxyx +=−

(C) 222 yxyx +=−

(D) 222 yxyx +=−

(E) yxyx +=−22

4. The complete cycle of a traffic light takes 90 seconds. During each cycle, the light is red for 50 seconds, yellow for 5 seconds, and green for 35 seconds. At a randomly chosen time, what is the probability that the light will not be green?

(A) 18

7

(B) 9

4

(C) 18

17

(D) 9

7

(E) 18

11

5. Seven less than a certain number is five more than half the number. What is the number? (A) 24

(B) 4

120

(C) 16 (D) 12

(E) 3

18

6. How many minutes are there in h hours and m minutes?

(A) mh

+60

(B) 60

mh +

(C) mh +60 (D) )(60 mh +

(E) mh 60+ 7. A building casts a shadow of 75 feet. At the same time of day, a 6-foot-tall man casts a shadow of 4 feet. How tall is the building, in feet?

(A) 2

1112

(B) 115

(C) 4

1127

(D) 140

(E) 2

1142

GO ON TO THE NEXT PAGE

www.mathteacherprep.com 8. A six-sided die numbered 1 through 6 is rolled three times to generate a three-digit number. The outcome of the first roll becomes the units digit of the three-digit number, the outcome of the second roll becomes the tens digit of the three-digit number, and the outcome of the third roll becomes the hundreds digit of the three-digit number. How many three-digit numbers with three distinct digits can be generated by this method? (A) 18 (B) 120 (C) 216 (D) 438 (E) 666 Y Z

Oahu School

W X

Jon’s House 9. The figure above shows the route of Jon’s trip from his house to Oahu School. Jon travels 4 miles from W to X, 8 miles from X to Y, and 2 miles from Y to Z. If he were to travel from W to Z directly, how many miles would the trip be? (A) 11 (B) 9 (C) 12 (D) 8 (E) 10

10. If f(x) = 2x

2 and g(x) = 5x + 1, what is g(f(x)) ? (A) 7x

2 + 1 (B) 7x

3 + 1 (C) 50x

2 + 20x + 2

(D) 10x

2 + 1 (E) 10x

3 + 2x2

11. Five equal squares are placed side by side to make a single rectangle whose perimeter is 372 feet. What is the area of one of these squares in square feet? (A) 961 (B) 983 (C) 1,007 (D) 1,029 (E) 1,860 12. A number x divided by 8 has a remainder of 3. Which of the following divided by 8 has a reminder of 6 ? (A) x – 6 (B) x – 5 (C) x – 4 (D) x – 3 (E) x – 2

GO ON TO THE NEXT PAGE

www.mathteacherprep.com 13. A restaurant ordered $1,050 worth of cups and plates. Each cup costs $2 while each plate costs $3. If twice as many cups as plates were ordered, how many cups and plates were ordered altogether? (A) 360 (B) 390 (C) 420 (D) 450 (E) 480

14. The figure above shows the graph of a quadratic function f that has a minimum at point (2, -2). If f(a) = f(4), which of the following could be the value of a ? (A) -2 (B) -1 (C) 0 (D) 1 (E) 3

15. If z

xy

32= , what happens to the value of y when x

and z are doubled? (A) y is not changed. (B) y is halved. (C) y is doubled. (D) y is tripled. (E) y is multiplied by 4. A B

E D C

16. In rectangle ABCE, EADm∠ is 5

4 of ADEm∠ .

What is the sum of the measures of ADCm∠ and

ABCm∠ ? (A) 220� (B) 230� (C) 240� (D) 255� (E) 265�

GO ON TO THE NEXT PAGE

www.mathteacherprep.com 17. If x – y < 0, which of the following inequalities must be true? (A) 2x > y (B) y4 > x

4 (C) xy > x (D) y + 1 > x – 1 (E) y3 > x

2

18. What is the domain of the function x

xf−

=4

7)( ?

(A) 4−<x or 40 << x (B) 4−≤x or 4≥x (C) 0<x or 0>x (D) All integer values of x (E) 4≠x

19. A television costs a dollars, but is on sale for b% off this price. What is the total cost of the television on sale after the addition of 4% sales tax?

(A)

−

10004.196.0

aba

(B)

+

10004.1

aba

(C)

−

10004.104.1

aba

(D)

+

10096.0

aba

(E)

−

10096.004.1

aba

20. On the Cartesian plane, DC passes through the

origin. If ZYDC ⊥ and they intersect at (4, 5), where

does ZY cross the x-axis? (A) (12, 0)

(B)

0,

4

110

(C) (9, 0)

(D)

4

38,0

(E) (0, 9)

STOP If you finish before time is called, you may check your work.

www.mathteacherprep.com

Answer Key – SAT Math Practice Test

1 D

2 C

3 B

4 E

5 A

6 C

7 A

8 B

9 E

10 D

11 A

12 B

13 D

14 C

15 E

16 A

17 D

18 E

19 C

20 B