1 Grade Mathematics Practice Test Nebraska Department of Education 2042 Directions: On the following pages are multiple-choice questions for the Grade...

Author:
Camilla Henry

1 downloads 145 Views 731KB Size

Nebraska Department of Education 2014

Directions: On the following pages are multiple-choice questions for the Grade 11 Practice Test, a practice opportunity for the Nebraska State Accountability–Mathematics (NeSA–M). Each question will ask you to select an answer from among four choices. For all questions: • Read each question carefully and choose the best answer. • You may use scratch paper to solve the problems. • The Mathematics Reference Sheet is provided in the back of the test booklet. You may refer to this page any time during the test. • You may not use a calculator on this test. • Be sure to answer ALL the questions. Only one of the answers provided is the correct response.

NE G11 Math PT

2

STOP.

Mathematics—Grade 11 Practice Test 1.

Use the table below to answer the question. Trip

Hours

Miles

Average Speed

1

5 hours

300 miles

? mph

2

11 hours

600 miles

? mph

3

15 hours 800 miles

? mph

4

20 hours 1150 miles ? mph

Charlie kept track of the number of miles and the number of hours he drove for four different trips. On which trip was Charlie’s average speed the greatest?

2.

A.

trip 1

B.

trip 2

C.

trip 3

D.

trip 4

A pump sold with a 40 liter fish tank can empty the full tank in 1 hour. What is an equivalent rate, in liters per minute? 1 A. liter per minute 3 B.

2 liter per minute 3

C.

1 liter per minute

D.

1

1 liters per minute 2

NE G11 Math PT

3

Go on to the next page.

Mathematics—Grade 11 Practice Test 3.

Use the triangle below to answer the question.

B

55°

130° C

A What is the measure of ⬔ABC?

4.

A.

50°

B.

55°

C.

70°

D.

75°

Justin has 44 coins in a jar. The coins are all pennies, nickels, or dimes. There are 3 times as many pennies as there are dimes. There are 2 fewer nickels than there are dimes. Which equation can be used to model the number of dimes in the jar? A.

3x + (x + 2) + x = 44

B.

3x + (x – 2) + x = 44

C.

3x(x + 2)x = 44

D.

3x(x – 2)x = 44

NE G11 Math PT

4

Go on to the next page.

Mathematics—Grade 11 Practice Test 5.

Use the figure below to answer the question.

x+5

x2 + 3x – 2

x+7 x2 + 2x The figure shows the lengths of the four sides of a quadrilateral. Which expression represents the perimeter of the quadrilateral?

6.

7.

A.

2x2 + 7x + 10

B.

2x2 + 7x + 14

C.

2x4 + 7x2 + 14

D.

2x4 + 7x2 + 10

The midpoint of AB is (−3, 2) and the coordinates of point A are (1, −2). What are the coordinates of point B? A.

(−1, 0)

B.

(0, −1)

C.

(−7, 6)

D.

(6, −7)

Which equation is equivalent to y – 3 = 2(x – 7)? A.

y = 2x – 17

B.

y = 2x – 11

C.

y = 2x – 10

D.

y = 2x – 4

NE G11 Math PT

5

Go on to the next page.

Mathematics—Grade 11 Practice Test 8.

Use the diagram below to answer the question.

c

7

6 What is the value of c to the nearest integer?

9.

A.

5

B.

7

C.

9

D.

11

Using a spinner to select each digit, a student randomly selects a three-digit number. The spinner is divided into ten equal sections numbered 0 through 9. The digit zero cannot be used in the hundreds place. What is the probability that the student selects 213? A.

1 1,000

B.

1 900

C.

1 30

D.

1 29

NE G11 Math PT

6

Go on to the next page.

Mathematics—Grade 11 Practice Test 10. Use the table below to answer the question. x

f(x)

–1

1

2

10

5

19

Which linear function represents f(x)? A.

f(x) =

4 1 x– 3 3

B.

f(x) =

16 1 x+ 3 3

C.

f(x) = 3x + 4

D.

f(x) = 3x + 12

11. Which expression is equivalent to (3x2y5)(–4x4y3)? A.

–1x6y8

B.

–1x8y15

C.

–12x6y8

D.

–12x8y15

12. The probability of drawing a red card is 0.4. The probability of drawing a card with a star on it is 0.1. Drawing a red card and drawing a card with a star on it are mutually exclusive events. What is the probability of drawing a red card with a star on it? A.

0

B.

0.04

C.

0.5

D.

1

NE G11 Math PT

7

Go on to the next page.

Mathematics—Grade 11 Practice Test 13. Use the figure below to answer the question.

3x + 2

2x – 9

The area of the rectangle is represented by the product of its two side lengths, (3x + 2)(2x – 9). Which expression represents the area of the rectangle? A.

5x – 7

B.

10x – 14

C.

6x2 – 18

D.

6x2 – 23x – 18

14. Use the diagram below to answer the question.

Sliced Cube

The cube has a surface area of 96 square inches. Each side of the cube is sliced along dashed lines to produce eight smaller cubes. What is the surface area of one of the eight smaller cubes? A.

8 square inches

B.

12 square inches

C.

24 square inches

D.

48 square inches

NE G11 Math PT

8

Go on to the next page.

Mathematics—Grade 11 Practice Test 15. Use the figure below to answer the question.

Green Red Red Green Green Red Green

Green

Sally is given a bag containing red and green jelly beans. She reaches into the bag and removes a red jelly bean. She does not replace the jelly bean before randomly removing a second jelly bean. What is the probability that the second jelly bean is red? 2 A. 8 B.

2 7

C.

3 8

D.

3 7

NE G11 Math PT

9

Go on to the next page.

Mathematics—Grade 11 Practice Test

共 兲

16 16. What is the value of the expression 25 4 A. 25 B.

8 25

C.

4 5

D.

5 4

1 2?

17. Use the coordinate grid below to answer the question.

y 6 5 Z (2, 4) 4 3 2 Y (5, 1) X (-1, 1) 1 x 0 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –1 –2 –3 –4 Which method proves that

XYZ is an isosceles right triangle?

A.

use the distance formula to show that three sides are equal in length and use the slope formula to show that two sides are parallel

B.

use the distance formula to show that three sides are equal in length and use the slope formula to show that two sides are perpendicular

C.

use the distance formula to show that two sides are equal in length and use the slope formula to show that two sides are parallel

D.

use the distance formula to show that two sides are equal in length and use the slope formula to show that two sides are perpendicular

NE G11 Math PT

10

Go on to the next page.

Mathematics—Grade 11 Practice Test 18. Use the line plot below to answer the question.

x x

x x x

x x x x

3

4

5

x 6

7

x 8

9 10 11 12 13

The line plot displays a distribution of data. Which comparison of measures of center matches the line plot? A.

the median is less than the mode

B.

the median is less than the mean

C.

the mode is equal to the mean

D.

the mean is equal to the median

19. Which expression is equivalent to 3兹3 + 5兹3 – 5? A.

3兹3

B.

3兹6

C.

8兹3 – 5

D.

8兹6 – 5

NE G11 Math PT

11

Go on to the next page.

Mathematics—Grade 11 Practice Test 20. Use the coordinate grid below to answer the question.

y 5 4 3 2 1 –5 –4 –3 –2 –1 0 –1 –2 –3 –4 –5

1 2 3 4 5

x

The coordinates of the endpoints of a segment are (–5, 1) and (4, 4). What is the length of the segment? A.

3

B.

9

C.

3 兹10

D.

9 兹10

21. What is the y-coordinate of the minimum value of f(x) = x – 5 + 2?

A.

–5

B.

–2

C.

0

D.

2

NE G11 Math PT

12

Go on to the next page.

Mathematics—Grade 11 Practice Test 22. What is the slope of the line represented by the equation 2x + 5y = 10? A.

–2

B.

–

C.

2 5

D.

2

2 5

23. Use the figure below to answer the question.

A

B

x

C

D In square ABCD, what is the length of diagonal BD? A.

2x

B.

x兹2

C.

x2

D.

x兹3

NE G11 Math PT

13

STOP.

NeSA-M High School Reference Sheet

Shape

Area

Key

Circumference

Circle

A = r2

C = πd = 2πr

Triangle

1 A = 2 bh

Rectangle

A = lw

Trapezoid

A = 12 h (b1 + b2)

Parallelogram

A = bh

b = base

w = width

Perimeter

B = area of base

d = diameter

P = 2l + 2w

h = height

r = radius

l = length

ℓ = slant

Use 3.14 for π

Volume

3-Dimensional Shape

Total Surface Area

Right Circular Cone

V = 13 r2h

T =

Pyramid

V = 13 Bh

T =

Sphere

V = 43 r3

T = 4r2

Right Circular Cylinder

V = r2h

T = 2rh + 2r2

Right Prism

V = Bh

T = 2B + Ph

1 2 (2r)ℓ + B + 12 Pℓ

r2 = rℓ + r2

Formulas Pythagorean Theorem Distance, rate, and time formula, where d = distance, r = rate, t = time:

c

a

d = rt b c2 = a2 + b2

Right-Triangle Relationships 30º-60º-90º Triangle Relationships

Trigonometric Ratios

B c

a C

b

sin A = ac cos A = bc tan A = a b A

45º-45º-90º Triangle Relationships B

B x C

60°

45°

2x 30° x√3

x√2 A A

x

45° x

C

NeSA-M High School Reference Sheet

Coordinate Geometry

Linear Equation Forms

Given: Points A(x1, y1), B(x2, y2) Distance between two points:

Point-Slope Form: y – y1 = m (x – x1)

AB =

(x2 – x1)2 + (y2– y1)2

Standard or General Form: Midpoint between two points:

Ax + By = C

x2 + x1 y2 + y1 , 2 2 y –y Slope of line through two points: m = x2 – x1 2 1 Midpoint of AB =

Slope-Intercept Form: y = mx + b

(

Equation of a Circle

Quadratic Formula

(x – h)2 + (y – k)2 = r2

2 x = –b ± √ b – 4ac 2a 2 ax + bx + c = 0

(h, k) = center

r = radius

Standard Units

)

Metric Units Conversions – Length

1 foot (ft) = 12 inches (in.)

1 centimeter (cm) = 10 millimeters (mm)

1 yard (yd) = 3 feet (ft) = 36 inches (in.)

1 meter (m) = 100 centimeters (cm)

1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft)

1 kilometer (km) = 1,000 meters (m)

Conversions – Area 1 square foot (sq. ft) = 144 square inches (sq. in.) 1 square yard (sq. yd) = 9 square feet (sq. ft) Conversions – Volume 1 cubic yard (cu. yd) = 27 cubic feet (cu. ft) 1 cubic foot (cu. ft) = 1,728 cubic in. (cu. in.) Conversions – Capacity 1 cup = 8 fluid ounces (fl oz)

1 liter (l) = 1,000 milliliters (ml)

1 pint (pt) = 2 cups

1 liter (l) = 1,000 cubic centimeters (cu. cm)

1 quart (qt) = 2 pints (pt)

1 kiloliter (kl) = 1,000 liters (l)

1 gallon (gal.) = 4 quarts (qt) Conversions – Weight/Mass 1 pound (lb) = 16 ounces (oz)

1 gram (g) = 1,000 milligrams (mg)

1 ton = 2,000 pounds (lb)

1 kilogram (kg) = 1,000 grams (g)

Grade 11 Mathematics Practice Test Answer Key 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

A B D B A C B C B C C A D C B C D B C C D B B

Grade 11 Mathematics Practice Test

Copyright © 2014 by the Nebraska Department of Education. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher.

Our partners will collect data and use cookies for ad personalization and measurement. Learn how we and our ad partner Google, collect and use data. Agree & Close