1 Grade 7 Mathematics Practice Test Nebraska Department of Education 002 Directions: On the following pages are multiple-choice questions for the Grad...

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Nebraska Department of Education 2010

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. Remember only one of the answers provided is the correct response.

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2

STOP.

MATHEMATICS PRACTICE TEST 1.

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 J –3 –4 –5

x

What are the coordinates of point J?

2.

A.

(0, 3)

B.

(–3, 0)

C.

(3, 0)

D.

(0, –3)

John eats A.

6%

B.

30%

C.

35%

D.

60%

NEG7MathPTPaper

3 of a candy bar. What percent of the candy bar does he eat? 5

3

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MATHEMATICS PRACTICE TEST 3.

4.

A small submarine started its dive at sea level and descended 30 feet per minute. Which integer represents the submarine’s depth after seven minutes? A.

–210 feet

B.

–23 feet

C.

37 feet

D.

210 feet

Use the coordinate grid below to answer the question.

y (0, 10)

(0, 1) x What is the distance between the points at (0, 1) and (0, 10)? A.

8 units

B.

9 units

C.

10 units

D.

11 units

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MATHEMATICS PRACTICE TEST 5.

Use the table below to answer the question. Calorie Table Food

Calories

Cheddar cheese, 1 ounce

114

Orange, 1 medium

70

Egg, 1 large

75

Strawberries, 1 serving

45

Pecans, 1/4 cup

185

Which expression represents the number of calories in r oranges and

6.

7.

A.

70 + 185

B.

75r + 185

C.

70r + 185

D.

75 + 185

1 cup of pecans? 4

Which represents the value of s in s + 12 ⱖ 100? A.

s > 88

B.

s < 88

C.

s ⱖ 88

D.

s ⱕ 88

What is 6.43 × 107 in standard notation? A.

643 × 105

B.

64,300,000

C.

6,430,000,000

D.

64.3 × 1010

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MATHEMATICS PRACTICE TEST 8.

9.

Pat has his own lawn mowing service. The maximum Pat charges to mow a lawn is $20. Which inequality represents the amount Pat could charge, c, to mow a lawn? A.

c > 20

B.

c ⱖ 20

C.

c = 20

D.

c ⱕ 20

The attendance at three concerts was 876, 647, and 856. Which expression shows how to estimate the total attendance at the concerts? A.

800 + 600 + 800

B.

900 + 700 + 900

C.

900 + 600 + 900

D.

1,000 + 700 + 900

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MATHEMATICS PRACTICE TEST 10. Which graph shows the ordered pair (–2, 3) plotted correctly? A.

4 3 2 1 –4–3–2–1 –1 –2 –3 –4 C.

4 3 2 1 –4–3–2–1 –1 –2 –3 –4

B.

y

1 2 3 4

4 3 2 1

x

–4–3–2–1 –1 –2 –3 –4 D.

y

1 2 3 4

y

4 3 2 1

x

–4–3–2–1 –1 –2 –3 –4

1 2 3 4

x

y

1 2 3 4

x

11. What is 35% of 80? A.

28

B.

45

C.

115

D.

2,800

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MATHEMATICS PRACTICE TEST 12. Use the set of numbers below to answer the question. 35

20

30

25

20

What is the median of the list of numbers? A.

30

B.

20

C.

25

D.

26

13. Which rational number is the greatest? A.

0.55

B.

0.6

C.

9 20

D.

1 2

14. Mikel walks down 5 flights of stairs. Each flight has 8 steps. Which describes Mikel’s descent? A.

–5 + 8 = 3

B.

(–5) + (–8) = –13

C.

(–5)(–8) = 40

D.

(–5)(8) = –40

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MATHEMATICS PRACTICE TEST 15. Use the picture below to answer the question.

Bags of Marbles

B

G

B

P

Bag A

B

W

W

P

Bag B

B = blue marble G = green marble

W = white marble P = purple marble

One marble is drawn at random from each bag. What is the probability that neither marble is blue? A.

1 16

B.

3 8

C.

1 2

D.

3 4

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MATHEMATICS PRACTICE TEST 16. Middle-school students sold cookies in packages of 12. On the first day, they sold x packages. On the second day, they sold twice as many packages as on the first day. Which expression shows the number of cookies they sold on the second day? A.

12(2x)

B.

12(x + 2)

C.

12(x – 2)

D.

12x 2

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

y

(0, 4)

(-4, 0)

(4, 0)

x

(0, -4)

What is the circumference of the circle? A.

12.56 units

B.

25.12 units

C.

50.24 units

D.

251.2 units

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MATHEMATICS PRACTICE TEST 18. Use the chart below to answer the question.

Spinner Experiment Color

Tally

Frequency

red

27

green

20

blue

28

orange

25

Students are given a colored spinner divided equally between red, green, blue, and orange sections. Students spin the spinner 100 times and collect the data in a chart. Which statement reflects the relationship between the experimental and theoretical probability of the spinner landing on green? A.

There is not enough information to calculate experimental probability.

B.

The experimental probability is greater than theoretical probability.

C.

The experimental probability and theoretical probability are equal.

D.

The theoretical probability is greater than the experimental probability.

19. Carmen has saved $24 to buy a DVD player that costs $96. She plans on saving $12 each week. The equation 12w + 24 = 96 can be used to find the number of weeks, w, when she will have enough money to buy the DVD player. How many weeks before Carmen has enough for the DVD player? A.

6 weeks

B.

8 weeks

C.

10 weeks

D.

12 weeks

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MATHEMATICS PRACTICE TEST 20. Use the coordinate grid below to answer the question.

y

R A

S

C T

B

D

U x

What transformation of trapezoid ACDB will create trapezoid STUR? A.

dilation

B.

rotation

C.

reflection

D.

translation

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MATHEMATICS PRACTICE TEST 21. Use the table below to answer the question. Median House Prices (1970 - 2000) Year

Median House Price

1970

$23,400

1975

$39,300

1980

$64,600

1985

$84,300

1990

$122,900

1995

$133,900

2000

$169,000

Which describes the trend of the data in the table? A.

always decreasing

B.

decreasing followed by increasing

C.

always increasing

D.

increasing followed by decreasing

22. The temperature is 8° F. As a cold front moves in, the temperature drops 6° F per hour. What is the temperature at the end of 3 hours? A.

–26° F

B.

–10° F

C.

5° F

D.

26° F

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MATHEMATICS PRACTICE TEST 23. Use the graph below to answer the question.

Money Spent on Food

snacks 10%

dinner 42%

breakfast 18% lunch 30%

A shopper spent $100 at the store. How many dollars did the shopper spend on snacks? A.

$10

B.

$18

C.

$30

D.

$42

24. What is the value of the expression 8x – 10 when x = 5? A.

3

B.

4

C.

30

D.

50

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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 Practice Test Answer Key Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

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

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