1 Grade 7 Mathematics Practice Test Nebraska Department of Education 20142 Directions: On the following pages are multiple-choice questions for the Gr...

Author:
Conrad Wright

0 downloads 180 Views 656KB Size

Nebraska Department of Education 2014

Directions: On the following pages are multiple-choice questions for the Grade 7 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 G7 Math PT

2

STOP.

Mathematics—Grade 7 Practice Test 1.

2.

3.

Which fraction is equivalent to 45%? A.

5 25

B.

9 25

C.

9 20

D.

4 5

Which number shows 1.42 × 108 in standard form? A.

142,000

B.

142,000,000

C.

1,420,000,000

D.

14,200,000,000

The school cafeteria bought 15 tables. After receiving a discount of $250, the total price was $5,000. Which equation could be used to find the cost, t, of each table? A.

15t + 250 = 5,000

B.

15t – 250 = 5,000

C.

15t + 250t = 5,000

D.

15t – 250t = 5,000

NE G7 Math PT

3

Go on to the next page.

Mathematics—Grade 7 Practice Test 4.

What is the value of A.

–36

B.

–4

C.

4

D.

36

NE G7 Math PT

⫺48 ? ⫺12

4

Go on to the next page.

Mathematics—Grade 7 Practice Test 5.

Use the information below to answer the question.

Doors

Balloons

red

pink lavender orange white

blue

pink lavender orange white

yellow

pink lavender orange white

green

pink lavender orange white

A contest winner randomly selects a door color and the color of a balloon behind the door. When the player pops the balloon, the player wins the prize inside the balloon. The colors of the doors and the balloons are shown in the diagram. What is the probability that the player randomly selects a red door and a white balloon? A.

1 16

B.

1 8

C.

1 4

D.

1

NE G7 Math PT

5

Go on to the next page.

Mathematics—Grade 7 Practice Test 6.

7.

A circle has a diameter of 20 inches. What is the circumference of the circle? A.

31.4 in.

B.

62.8 in.

C.

314 in.

D.

628 in.

Use the graph below to answer the question.

Number of Students

Favorite Pizza Topping 12 10 8 6 4 2 0 cheese

pepperoni hamburger supreme Pizza Topping

Each student in a class of 25 students was surveyed about his or her favorite pizza topping. What percentage of the students selected cheese or hamburger topping as their favorite?

8.

A.

40%

B.

48%

C.

52%

D.

60%

Stacy has 20 blocks. Of the 20 blocks, 16 are cubes. What percentage of the blocks are cubes? A.

75%

B.

80%

C.

120%

D.

125%

NE G7 Math PT

6

Go on to the next page.

Mathematics—Grade 7 Practice Test 9.

The total cost of 3 sweaters is less than $90.33. Each sweater costs s dollars. Which inequality represents this situation? A.

90.33 – 3 < s

B.

3s > 90.33

C.

90.33 – 3 > s

D.

3s < 90.33

10. Use the spinner and the table below to answer the question.

red

green

yellow

blue

Results of 100 Spins Color

Number

red

30

blue

19

green

26

yellow

25

The arrow on the spinner is spun 100 times. The table shows the results from the 100 spins. Which result in the table matches exactly the theoretical probability for that color? A.

red

B.

blue

C.

green

D.

yellow

NE G7 Math PT

7

Go on to the next page.

Mathematics—Grade 7 Practice Test 11. What is the solution of the inequality x – 26 > 65? A.

x > 39

B.

x < 39

C.

x > 91

D.

x < 91

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

y X (6, 4)

Z (2, 1)

Given

XYZ, what are the new coordinates of point X after a translation of 4 units left and 5 units down?

A.

(2, –1)

B.

(1, 0)

C.

(3, –4)

D.

(–2, –4)

NE G7 Math PT

Y (7, 1) x

8

Go on to the next page.

Mathematics—Grade 7 Practice Test 13. What is the value of x in 2x + 4 = 7? A.

x = –1.5

B.

x = 1.5

C.

x=6

D.

x = 22

14. Which fraction is between 0.6 and 0.7? 2 A. 5 B.

8 10

C.

11 20

D.

2 3

15. A car travels 70 miles per hour. Which expression shows the distance the car travels in h hours? A.

70 – h

B.

70h

C.

70 + h

D.

70 h

NE G7 Math PT

9

Go on to the next page.

Mathematics—Grade 7 Practice Test 16. Use the coordinate grid below to answer the question.

y C (7, 3) x D (7, –1)

What is the length of A.

–5 units

B.

– 4 units

C.

4 units

D.

5 units

?

17. Which method shows how to select numbers that are multiples of 6? A.

The ones digit is 0, 2, 4, 6, or 8, and the sum of digits in the number is a multiple of 3.

B.

The ones digit is 0, 2, 4, 6, or 8, and the sum of digits in the number is a multiple of 5.

C.

The ones digit is 1, 3, 5, 7, or 9, and the sum of digits in the number is a multiple of 3.

D.

The ones digit is 1, 3, 5, 7, or 9, and the sum of digits in the number is a multiple of 5.

18. What is the value of the expression A.

14.5

B.

16

C.

21.5

D.

32

NE G7 Math PT

8共x⫹5兲 when x = 3? 2

10

Go on to the next page.

Mathematics—Grade 7 Practice Test 19. Use the coordinate grid below to answer the question.

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

A x 1 2 3 4 5 D

What point corresponds with the ordered pair (1, –1)? A.

A

B.

B

C.

C

D.

D

20. Use the list of numbers below to answer the question. List of Numbers 16

11

12

24

12

What is the range of the numbers? A.

11

B.

12

C.

13

D.

15

NE G7 Math PT

11

Go on to the next page.

Mathematics—Grade 7 Practice Test 21. The school library places 3 book orders. The costs of the book orders are $272.13, $416.48, and $53.98. Which equation shows how to estimate the cost of these orders to the nearest ten dollars? A.

$270 + $410 + $50 = $730

B.

$270 + $420 + $50 = $740

C.

$280 + $420 + $50 = $750

D.

$280 + $420 + $60 = $760

NE G7 Math PT

12

STOP.

NeSA-M Grade 7 Reference Sheet

Shape Circle

Area

Circumference C = d = 2r

A = r2 1 2 bh

Triangle

A=

Rectangle

A = lw

Trapezoid

A = 12 h(b1 + b2)

Parallelogram

A = bh

Square

A = s2

3 – Dimensional Shape Rectangular Prism

Key b = base

w = width

Perimeter

B = area of base

d = diameter

P = 2l + 2w

h = height

r = radius

l = length Use 3.14 for π

Volume

Percent Change

V = lwh = Bh

% change =

Standard Units

difference in amount original amount

Metric Units Conversions – Length

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 meter (m) = 1,000 millimeters (mm) 1 kilometer (km) = 1,000 meters (m)

Conversions – Volume 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 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 7 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

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

Grade 7 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