MATHEMATICS TEST 30 Minutes — 30 Questions pps

It has landed heads up 51 times and tails up 49 times.. Randy has a collection of comic books.. If you add 15 to the number of comic books in her collection and multiply the sum by three

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MATHEMATICS TEST

30 Minutes — 30 Questions

Directions: Solve each problem, choose the correct answer,

and then fill in the corresponding space on your answer sheet

Do not linger over problems that take too much time Solve as many as you can; then return to the others in the time you have left for this test

Note: Unless otherwise stated, all of the following should be assumed

1 Illustrative figures are NOT necessarily drawn to scale

2 Geometric figures lie in a plane

3 The word line indicates a straight line.

4 The word average indicates arithmetic mean.

1. What is the value of 2 x2 + 3x – 4 when x = –1?

A –7

B –5

C –3

D –1

E. 1

2. Denise has tossed a fair coin 100 times It has landed

heads up 51 times and tails up 49 times What is the

probability that it will land heads up the next time

Denise tosses it?

F. 1

100

G. 1

10

H. 49

100

J. 1

2

K. 51

100

3. If r ≠ 0 and s ≠ 0, 15r

3

s4

D. –5rs2

E. 5r2s2

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DO YOUR FIGURING HERE.

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4. In the figure below, PQ is parallel to the y-axis.

What is the value of a ?

3

2

1

–1

–2

–3

1 2 3

Q (a, 2)

P (3,–1) x y

F. –3

G –1

H 1

J 2

K 3

5. In ∆ABC below, AB is 4 units long and BC is 3

units long What is the value of sin ?

4

3

A

B C

A. 3

5

B. 2

3

C. 3

4

D. 4

5

E. 5

6

DO YOUR FIGURING HERE.

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6. Randy has a collection of comic books If you add 15

to the number of comic books in her collection and

multiply the sum by three, the result will be 65 less

than four times the number of comic books in her

collection How many comic books are in her

collection?

F 50

G 85

H. 110

J. 145

K. 175

7. In the figure below, AC and BD are parallel and EF

and GH are parallel; they intersect at points M, N, P,

and Q If the measure of ∠AME is 57°, what is the

measure of ∠NQH ?

A B

C D

M N

Q P

57°

A 57°

B 93°

C. 114°

D. 123°

E. 153°

8. The area of a rectangular plot of land is equal to

(28x2 – 21xy) square feet If the width of the

rectangular plot is 7x feet, what is the length, in feet?

F. 7(x – y)

G. 21x – 14 y

H. 4x2 – 3 xy

J. y

K. 4x – 3 y

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DO YOUR FIGURING HERE.

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9. What is the greatest common factor of (32× 53) and

(3 × 52)?

F. 5

G. 52

H. 3 × 52

J. 32× 52

K. 32× 53

10. In triangle ABC below, ∠ACB is a right angle If

AB is 8 units long and BC is 6 units long, how

many units long is AC ?

8

A

B C

6

F 2

G 2 3

H 2 7

J. 10

K 4 7

11. Joan has 5% more money in the bank today than she

had one year ago If she has $2,520 in the bank now,

how much did she have in the bank one year ago?

A. $2,000

B. $2,250

C. $2,300

D. $2,315

E. $2,400

DO YOUR FIGURING HERE.

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12. What is the sum of the solutions of the equation

x2 + 4x – 2 = 0?

F. –4 – 2 2

G. –4

H. –2

J. –4 + 2 2

K 8

13. The equation y = 10x + 3 can be graphed in the

standard (x, y) coordinate plane What is the value of

the x-coordinate at the point where y = 1

2 ?

A. – 4

B. –5

2

C. –1

4

D. 1

4

E. 8

14. The expression p2 – 2 p is equal to which of the

following when p = 9 ?

F. 3

G. 2 3

H. 3 5

J. 5 2

K. 5 3

DO YOUR FIGURING HERE.

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15. Which of the following is a solution for the equation

2x2 + 5x + 1 = 0?

A. x = −5

4 + 25 – 8

B. x = 5+ 25 – 8

4

C. x =−5+ 25– 8

4

D. x = –5 + 25 – 8

2

E. x = –5 + 25 – 8

4

16. A certain galaxy contains 27 × 38 stars How many

stars is this in terms of a power of 3?

F. 310

G. 311

H. 316

J. 324

K. 327

17. Maria has a collection of valuable old baseball cards

She has decided to sell 1

3 of them Jack offers to buy 1

4 of the ones Maria is selling for $40.00 At this

rate, how much would her entire collection be worth?

A. $ 160.00

B. $ 300.00

C. $ 380.00

D. $ 480.00

E. $1,200.00

DO YOUR FIGURING HERE.

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18. A train travels 50 miles in 1 hour and then r miles in

s hours Which expression represents the train's

average rate of speed, in miles per hour, for the entire

distance?

F. 50+r

1+s

G. 50+r

s

H. 50 s+r

s

J. 50 s+r

1+s

K. 50 r

s

19. Which of the following expressions describes all of

the values of r that are solutions of the inequality

9 – 3 r > 12 ?

A. –1 < r < 7

B. r > –1

C. r > 7

D. r < –7

E. r < –1

20. The area of a circle is 64π square centimeters What

is the diameter, in centimeters?

F 4

G 8

H. 12

J. 16

K. 24

DO YOUR FIGURING HERE.

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21. What is the area, in square units, of the square whose

vertices are located at the coordinate points indicated

in the figure?

(–1, 4)

y

x

(2, 7)

(5, 4)

(2, 1) (0, 0)

A 9

B. 12

C. 16

D. 18

E. 24

22. What is the equation of the parabola graphed in the

(x, y) coordinate plane below?

y

6 5 4 3 2 1 –1 –2 –3

–4 –3 –2 –1 1 2 3 4

x

F. y = x2 + 1

G. y = x2

H. y = 1

2x

2

J. y = –x2 –1

K. y = x2 –1

DO YOUR FIGURING HERE.

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23. Which of the following best describes cos x as x

increases from π

2 to π?

A. It decreases from 0 to –1

B. It increases from 0 to 1

C. It decreases from 1 to 0

D. It increases from –1 to 1

E. It decreases from 1 to –1

24. In the figure below, S is the center of the square

WXYZ, and ST is perpendicular to XY If the

perimeter of WXYZ is a, what is the length of ST in

terms of a ?

W

X

Z

Y

S

T

F. a

16

G. a

8

H. a

5

J. a

4

K. a

2

25. (3 5 – 2 3 )(3 5 + 2 3 ) = ?

A. 6 5 – 4 3

B. 9

C. 9 5 – 4 3

DO YOUR FIGURING HERE.

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26. Rob is experimenting with kites of various shapes,

such as the one shown in the illustration If all the

dimensions are given in inches, what is the area of

the kite in square inches?

F. 475

G. 525

H. 575

J. 600

K. 625

27. When positive integer n is divided by 8, the

remainder is 7 What is the remainder when 5n is

divided by 8 ?

A. 3

B. 4

C. 5

D. 6

E. 7

28. In ∆ABC below, the sum of the measures of

∠ABC and ∠BAC is 100° What is the measure of

∠ACB ?

A

B C

F 20°

G 50°

H 80°

J. 90°

K 100°

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DO YOUR FIGURING HERE.

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29. A rectangular concrete pavilion with dimensions 20

feet by 25 feet is to be covered by a tarp in case of

rain If the tarp is made large enough to extend 3

feet beyond the edge of the pavilion on all sides, by

how many square feet is the area of the tarp greater

than the area of the pavilion?

A. 144

B. 206

C. 244

D. 294

E. 306

30. A recipe calls for sugar, water, and flour in the

volume ratio 1 : 3 : 4, respectively If 1 cup of

water is used, how many cups of flour are required?

F. 11

4

G. 11

3

H. 11

2

J. 3

K. 4

DO YOUR FIGURING HERE.

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