26 What feature could Alexander have used to sort these shapes into the same group?

A They all have at least two lines of symmetry.

B They are all quadrilaterals.

C They are all parallelograms.

D They all have perpendicular lines.

Samantha bought acar for $16,586. What is $16,586 rounded to the nearest hundred?A $16,000

B $16,590

C $16,600

D $20,000

Tomas is comparing the fractions 1and |. He rewrites the fractions using acommondenominator. His work was all correct. Which shows Tomas's comparison?

A12 12

B12 12

C 4 _ 9

12 12

D12 12

North Carolina Practice Test 1

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15

29 Noah classifies the figure below.

Which statement is correct?

A The figure is an obtuse triangle because it has three sides and one of the anglesis greater than 90°.

B The figure is an acute triangle because it has three sides and three of the anglesare less than 90°.

C The figure is a right triangle because it has three sides and one of the angies hasa measure of 90°.

D The figure is an equilateral triangle because it has three sides and each of thesides is the same length.

30 Ciara studied atotal of 4~ hours. She studied Math for 14 hours and Social Studies, 4 4

for 1—hours. The rest of the time she studied for a Science test.

How many hours did Ciara spend studying for her Science test?

A l4

B 3

C 34

D 6

16 North Carolina Practice Test 1

31 What is the remainder when dividing 3,194 by 9?

A 1

B 8

C 9

D 18

Chita made some meatballs. She ate —• of the meatballs for dinner. She ate -^- ofthe meatballs in her lunch the next day. What fraction of the meatballs does Chita

have left?

A

B

C

D

_5_24

_3_12

J_12

_9_12

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North Carolina Practice Test 1 17

34

•m

The diagram below shows circles and two rays that meet at pointA in the center ofthe circles.

What is the relationship between LCAB and LDAE?

A The measure of LCAB is greater than the measure of LDAE.

B The measure oiLCAB is less than the measure of LDAE.

C The measure ofLDAE is greater than the measure of LCAB.

D The measure of LCAB and the measure of LDAE are the same.

Ahotel charges $139 per night for a room. Which equation shows the cost of staying4 nights at the hotel?

A 139 x 4 = (100 + 30 + 9) X4 = (100 x 4) + (30 x 4) + 9

B 139 x 4 = (1 + 3 + 9) x 4 = (1 X4) + (3 X4) + (9 x 4)

C 139 x 4 = (100 + 30 + 9) x 4 = (100 x4)t (30 x 4) + (9 x 4)

D 139 x 4 = (100 + 3 + 9) x 4 - (100 x 4) + (3 x 4) + (9 x 4)

North Carolina Practice Test 1

Emma uses the shaded parts of the model below to find the sum of two fraction-

What sum did Emma find?

16

100

B 79

100

C 16

10

D 97

100

m I I I I I ij-p

What is 3,476 in word form?

A Three thousand, four hundred seventy-sixB Three hundred forty-seven and six-tenths

C Thirty-four thousand, seven hundred sixtyD Three hundred forty-seven thousand, six hundred

North Carolina Practice Test 1

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19

37 Aidan looks at ththe signs.

e measure of the angles on the traffic signs below and classifies

Oak Street

Which traffic sign did Aidan place in agroup that has acute and obtuse angles?A Yield

B Stop

C National Forest

O Be Prepared to Stop

Be K9 -. —

38 Which traction is equivalent to 0.59?

20

A 59in• \j

B 100

59

C 59

100

D 1

59

This model shows one way to find the quotient 840 +8.

Which equation shows the final step in finding the quotient?A 100x5 = 500

B 100-5-20

C 100 - 5 = 95

D 100 f 5 = 105

Which correctly compares the values of the digits 2and 6in the number 243,695?A 2 x 100 < 6 X 100

B 2 x 1,000 > 6 x 100

C 2 x 10,000 > 6 X 100

D 2 x 100,000 > 6 X 100

North Carolina Practice Test 1

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21

; .•;•••.' '••

42

Adecimal is modeled by the shaded part on the grid below. The whole grid is equalto 1.

Which statement correctly compares this decimal to another decimal?A 0.12 is greater than the decimal represented by the model.

0.56 is greater than the decimal represented by the model.0.80 is less than the decimal represented by the model.

O 0.98 is less than the decimal represented by the mod<lei.

Apet store sells an average of 185 pounds of birdseed every month The birdseedSZ5JEE£? Whkh eqLf°n Can ^ US6d f»findyhowm.nTbJ?3edui, aseea tne otoi e ^eils every month?

A (100-5)+ 80 +5= 105 bagsB (100 -5-5) + (80 -. 5) +5-41 bagsC (100 + 5) +80 +(5-5) -101 bagsD (100 +5) +(80 +g +(5 +5) =37 bags

22 North Carolina Practice Test 1

Susan says that all of these figures can be classified into the same group.

Which is the best explanation of Susan's reasoning?

A Susan used the number of sides to classify the figures because each figure has4 sides.

B Susan used the presence of parallel sides to classify the figures because eachfigure has at least one pair of parallel sides.

C Susan used the presence of perpendicular sides to classify the figures becauseeach figure has at least one pair of perpendicular sides.

D Susan used angle measures and symmetry to classify the figures because eachfigure has 0 right angles and at least 2 lines of symmetry.

Joseph compared the fractions -i and 4 by thinking about how each fractiony '•••

compares to -+. Which statement is true?

A —is less than j and ~ is greater than —, so —< —.

B 1 is greater than y and —is less than —, so —>y.

C j is less than 1 and -| is greater than —, so - >—.

D y is less than y and y is greater than —, so y < —.

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North Carolina Practice Test 1 23

45 The total area of North Carolina is about 126,161 square kilometers. What is126,161 written in expanded form?

A 100,000 + 20,000 + 6,000 +100 + 60+1

B 100,000 + 26,000 + 161

C 12 + 61+61

D 126 + 161

46 Use the diagram below.

24

Which fraction is equivalent to —?6

A2

12

B 2

10

C 10

12

D 12

12

North Carolina Practice Test 1

i1

•

I ,I "V

••'.'•.

> .i

i

!+I

i

47 Lars rode 5miles on his bicycle. His father biked 5times as many miles Whichequation shows the number of miles Lars' father biked?A 5 x 5 = 25

B 5 + 5=10

C 5-5 = 1

D 5-5 = 0

48 This model shows one way to find the quotient of 7,848 +• 4.

1,900

Which equation shows the final step in finding the quotient?A 1,900 + 60 + 2 + 4 + 8= 1,974

B 1,900 + 60 + 2 + 4= 1,966

C 1,900 + 60 + 2 + 8= 1,970

D 1,900 + 60 + 2 = 1,962

Co OnNorth Carolina Practice Test 1

25

49

50

Arecipe calls for 1- teaspoons of black pepper and 2-| teaspoons of white pepper.What is the total amount of pepper needed for the recipe?

A —teaspoons

B 1—teaspoons

C 3—teaspoons

D 4—teaspoons

Chris sorts some quadrilaterals into groups. One group contains fiqures with 2,toatro,! 7 and 2°r m0?e rlght an9,eS< Wh,Ch tyPe °f fl9Ure alWQyS be!on3S ,nA

B

r-

D

rhombus

trapezoid

parallelogram

square

pairs

26 North Carolina Practice Test 1

Mrs. Smith cuts an apple pie into 8slices and a blueberry pie into 12 slices She6slices of the apple pie and 7slices of the blueberry pie. Which correctly corneaamounts of pie Mrs. Smith served?

e servesres the

A8 12

B #>"Z-8 12

C8 12

D8 12

This model shows one way to find the product 29 x 26.

20 9

20 20 X 20 = 400 9 x 20 == 180

= 54!1

6 20 X 6 - 120 9 X 6 =

Which equation shows the final step in finding the product?

A 400 + 180 + 120 + 54 = 754

B 400 + 180 = 580

C 400 + 20 + 6 = 426

D 400 + 29 = 429

orth Carolina Practice Test 1

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Amanda shaded the figure below to model a fraction.

Which figure shows an equivalent fraction?

B

28

54 Susan drove 390 miles from Minnesota to South Dakota. She plans to do this tripiT^vell Whkh eqUati°n Can be USed t0 fmd h°W many total mi,es SusanA

B

C

D

390 x 4 = (300 x 4) + (9 x 4)

390 x 4 = (300 x 4) + (90 x 4)

390 x 4 = (300 x 4) + 90

390 x 4 = 300 + (90 x 4)

55 Which statement is true?

A Arhombus can have 2obtuse angles, 1right angle, and 1acute angle.B Arhombus car. have 1right angle and at least 2obtuse angles.C Arhombus can have 2acute and 2obtuse angies.

D Arhombus can have 4 obtuse angles.

Scott rode his bike — mile from his house to his grandfather's house. Then he rode hisbike — mile to his friend's house. How many miles did Scott ride his bike?

A

B

C

D

10

1±10

1-5-10

iJi10

North Carolina Practice Test 1

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I :::i

The numbers below are being compared to one another. Which of these is correct?A 8,607 > 8,706

B 2,358 < 1,539

C 1,167 = 1,176

D 3,259 > 2,395

Which could be the property Lucas used to classify these quadrilaterals in thegroup;

same

r"

A Each has more than one acute angle.

B Each has at least one pair of parallel sides.C Each has at least one right angle.

B Each has at least one pair of perpendicular sides.

What is the difference?

30

8,105-3,946

A 4,159

B 4,269

C 5,259

D 5,841

North Carolina Practice Test

Jin, Marco, and Myra each cut a length of wire for an electronics project. Jin's wire was25 hundredths of a meter long, Marco's was 3 tenths of a meter long, and Myra's was0.2 meter long. Which shows the students' wires in order from longest to shortest?

A Myra, Jin, Marco

B Marco, Myra, Jin

C Jin, Myra, Marco

D Marco, Jin, Myra

This model shows one way to find the product of 55 and 78.

70 8

50 70 x 50 = 3,500 S x 50 = 400

5 70 X 5 - 350 8x5 = 40

Which expression shows the final step in finding the product?

A 3,500 + 400 + 350 -L 40

S 3,500 + 400

C 3,500 + 350

D 70 + 50 + 8 + 5

North Carolina Practice Test 1

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63

32

Which expression could be used to complete this equation?

A

B

C

D

ii- + 27

1+1+1

f*W1+1+1+1

*+W

In the figure below, DE is perpendicular to IF.

What is the name for the group that the triangle belongs to?A Right triangles

B Obtuse triangles

C Equilateral triangles

D Isosceles triangles

64 Alex completes a children's triathlon. He travels a total of 11 miles H-j 4

distance, runs - mile, and bikes 1 mile. How far does Alex swim?

A

B

C

D

-mile

Jmile

— mile4

miles

65 The diagram shows an angle being measured.

•"Pro..,.

^ V ;>0 *?,9o. f pj ^ ^

What is the measure of the angle?

A 67°

B 73°

C 113°

D 127°

North Carolina Practice Test 1

e swims a

STOP

33

:|

•

_

Practice Test 2

Calculator-Active Section

Answer questions 1-22 on your answer sheet. You may use acalculator.

34

T Which list contains only multiplesof 8?

A

B

C

D

2,4

8, 18

10, 16,24

16,24,32

Abracelet costs $15. Amatchingnecklace costs 3 times as much asthe bracelet. If c is the cost of thenecklace, which equation models th<cost of the necklace?

A

B

C

D

$15 - 3= c;c= $5

$15x3 = c;c=$45

$15 + 3 = c;c= $18

3 x $15 + $15 = c;c = $60

North Carolina Practice Test 2

Which expression does the modelshown below represent?

A 3+|6

B xib

C 3+4

D 3 x-L6

Raisa went blueberry picking. Shepicked 3 pounds of blueberries. Sheused 35 ounces of the blueberriesto make a pie. How many ounces ofblueberries does Raisa have left?

A 12

B 13

C 16

D 48