Released Form
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READY NCEXTEND2
End-of-Grade
Alternate Assessment
Mathematics
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Grade 6
Student Booklet
Academic Services and Instructional Support
Division of Accountability Services
Copyright ã 2013 by the North Carolina Department of Public Instruction. All rights reserved.
NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
Sample Questions
Kerry walks 3 miles each day. How far will she walk in 7 days?
A
10 miles
B
14 miles
C
21 miles
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What number is represented by point P on the number line below?
P
What fraction of the circle is shaded?
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–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
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Ben and his brother went to the movies.
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Each ticket cost $7.25.
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Each boy bought a soda and a bag of popcorn.
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A soda cost $1.50. A bag of popcorn cost $2.75.
B
$18.75
C
$23.00
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$11.50
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A book fair collected data during the first hour each day it was open. The box plot
summarizes the distribution of the data. Which statement below is true, based on
the first hour of sales?
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What was the total amount of money spent?
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3
4
5
6
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Number of Books Purchased
A
At least 5 books were purchased on one-fourth of the days.
B
The maximum number of books purchased was 8.
C
There was at least one day when 0 books were purchased.
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
between 500 and 600
B
between 300 and 400
C
between 50 and 100
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B
40
C
100
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What is the value of the expression 62 + 4?
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About how much is 32.3 • 2.7 • 6?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
d+9
B
9d
C
d–9
D
A
Olivia fills her gallon-sized water bucket 2 of the way. She waters each of her
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3
of a gallon of water. How many plants can Olivia water before the
plants with 1
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A
2 plants
B
4 plants
C
9 plants
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bucket is empty?
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Brian is 9 years older than Dan. Let d represent Dan’s age. Which expression
models Brian’s age?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
Questions 7 through 12 require you to write your answers in the boxes
provided on your answer sheet. Write only one number or symbol in each box
and fill in the circle in each column that matches what you have printed. Fill in
only one circle in each column.
Jane has a loan of $2,000 with an interest rate of 3% per year for 2 years.
The value of the expression prt is equal to the amount of interest Jane
will pay on her loan.
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p is the amount of the loan, r is the interest rate per year, and t is the
time.
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How much interest, in dollars, will Jane pay on the loan?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
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What is the value of x in the equation 7x = 42?
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ounces of soap. Each push on
Tiffany bought a bottle of liquid soap that holds 10 3
4
the top of the bottle gives 1 of an ounce of soap. How many times can the top of
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the bottle be pushed before the bottle is empty?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
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Apples cost $1.20 per pound. Sheila bought 11 pounds of apples. How much
money did she spend on apples?
Express the answer in dollars and cents.
Allison is ordering
−1 −3
−7
, 4 , and 10
on a number line. Which number in Allison’s
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list is the farthest from zero?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
What is the value of the expression below?
()
2
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1
4
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12
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
This is the end of the calculator inactive test questions.
Directions:
1. Look back over your answers for the calculator inactive questions. You
will not be able to go back and work on these questions once you are
given a calculator.
2. Raise your hand to let your teacher know you are ready to begin the
calculator active test questions.
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3. Do not begin work on the calculator active test questions until your
teacher has given you a calculator.
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
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In Sam’s science experiment, crystals are growing at a constant rate. He plots a
point at the end of each week.
Crystal Growth Experiment
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5
4
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2
1
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Total Height (cm)
7
2
3 4 5
Week
6
7
B
(5, 6)
C
(6, 5)
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(5, 4)
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What data point will Sam plot to represent the crystals’ height at the end of
Week 5?
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Which group shows 25% of the circles shaded?
A
B
C
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
9(7 + 2)
B
6(9 + 3)
C
3(21 + 6)
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A
A
–
B
310, –249, 186
C
186, –249, 310
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Which list of numbers is in order from least to greatest?
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249, 186, 310
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Which choice shows an expression equivalent to 63 + 18 using the greatest
common factor?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
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What is the area of rectangle HIJK?
y
(–3, 2)
I
(2, 2)
J
22 square units
B
26 square units
C
30 square units
K
(2, –4)
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(–3, –4)
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x
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Which expression represents the sum of –13 and z?
A
–
13 + z
B
–
13 – z
C
z – (–13)
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
x+7
B
2x + 10
C
7x
D
A
Mike has 4 more postcards than Jackie.
Mike has 8 postcards.
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Let j represent Jackie’s number of postcards.
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•
A
j+4=8
B
j=8+4
C
4j = 8
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Which equation below can be used to solve for the number of postcards that Jackie
has?
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Which expression is equivalent to 2(x + 5)?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
21
The chart below shows rates for parking a car in a parking lot.
Time, t
(hours)
1
2
3
4
Parking cost, p
$1.25
$2.50
$3.75
$5.00
p = 1.25t
C
p = 1.25 – t
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B
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p = 1.25 + t
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Mrs. Kelly’s art project is shaped like a parallelogram. The base is 8 feet, and the
height is 2 feet. How many square feet does the art project cover?
A
10 square feet
B
16 square feet
C
20 square feet
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A
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If t represents the number of hours parked in the lot, which equation can be used
to find the cost of parking, p?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
36 + x
B
36x
C
36 – x
D
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What is the volume of the right rectangular prism below?
51
4 in.
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James had 36 baseball cards. For his birthday, he got x baseball cards. Which
expression represents the total number of baseball cards James now has?
A
12 1 in.3
4
B
1
45 16
in.3
C
64 5 in.3
16
31
2 in.
31
2 in.
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
Carmen plotted the vertices (–4, 2), (2, 2), and (1, –2) for a parallelogram. Which
ordered pair below is the fourth vertex?
(–6, 2)
B
(3, –6)
C
(–5, –2)
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A
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
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The net below is of a cube. What is the surface area of the cube?
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4 2 in.
A
20 1
in.2
4
B
81 in.2
C
121 1 in.2
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2
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
25%
B
50%
C
75%
D
A
40
B
35
C
20
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A chicken lays 5 eggs in 7 days. At this rate, how many eggs will the chicken lay in
28 days?
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What percent of the data is represented between Quartile 1 and Quartile 3 of a
box plot?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
9
B
8
C
6
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On this number line, what is the value of A?
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A
A
A
−3
4
B
− 1
C
−
1
4
23
4
–1
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–2
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A stack of books weighs 3.5 kilograms. About how many pounds is this? (One
pound is about 0.45 kilograms.)
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
Negative four is less than two.
B
Two is less than negative four.
C
Negative four is greater than two.
D
A
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Daniel graphed his path in a park. He started at M(–4, –3) and walked north
7 meters. If 1 unit block equals 1 meter, what are his current coordinates?
y
North
+5
South
+4
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East
West
+3
+2
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Which statement below is equivalent to 2 > –4?
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+1
–5 –4 –3 –2 –1 0
–1
+1 +2 +3 +4 +5
x
–2
–3
M
–4
–5
A
(–1, 1)
B
(–4, 4)
C
(–1, 4)
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
7y + 2
B
9y
C
12y + 2
D
A
A
x < –5
B
x ≥ –5
C
x > –5
–7
–5
–3
–1
0 1
3
5
7
9
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–9
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Which inequality is represented on the number line?
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Which expression is equivalent to 3y + 2 + 4y?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
13.2 m2
B
21.6 m2
C
43.2 m2
D
A
1
feet
2
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1
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The sandbox below is shaped like a right rectangular prism and will be filled with
sand.
1
1
2 4 feet
4 2 feet
How many cubic feet of sand will be in the sandbox?
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Carl made a flag in the shape of a right triangle. The base measured 6 m and the
height measured 7.2 m. What is the area of the flag?
A
8 1 cubic feet
B
15 3 cubic feet
C
16 7 cubic feet
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16
8
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
4 units
B
5 units
C
9 units
D
A
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Ted sells golf balls. The table below shows how much money he has received for
the number of golf balls he has sold.
Money Earned
2
$1.50
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Golf Balls Sold
3
$2.25
4
$3.00
6
$4.50
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Triangle XYZ has coordinates X(–2, 1), Y(3, 1) and Z(–2, 5). What is the distance
between X and Z?
Based on the table, how much money will Ted receive if he sells 9 golf balls?
A
$6.25
B
$6.65
C
$6.75
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
The line plot below shows the number of pets owned by students in a class.
Approximately what percentage of students own at least 3 pets?
B
25%
C
33%
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8%
2
3
4
Pets Owned
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A
1
D
0
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
The histogram shows the number of children who saw a movie about trains.
Watched Train Movie
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15
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10
5
0
0
3–5
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Number of Children
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6–8
9–11
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Ages (in years)
A
3–5
B
6–8
C
9–11
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In which range of ages is the median of the data?
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NCEXTEND2 GRADE 6 MATHEMATICS—RELEASED FORM
Directions:
This is the end of the mathematics test.
1. Put all of your papers inside your test book and close your test book.
2. Place your calculator on top of the test book.
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3. Stay quietly in your seat until your teacher tells you that testing is
finished.
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