The document provides a summary of mathematics items from the 2010 New England Common Assessment Program for Grade 7. It includes 20 multiple choice questions on topics such as geometry, time, money, ratios, and data displays. The questions are presented along with diagrams, tables, graphs or equations as needed. Key information includes the grade level (7), subject (mathematics), year (2010), and that it contains released test items from the NECAP assessment.

1. NEW ENGLAND
COMMON ASSESSMENT PROGRAM
Released Items
2010
Grade 7
Mathematics

2. Mathematics
Items with this symbol were selected from Session
One—no calculators or other mathematics tools allowed.
122332.000 122333 C Common, CMN
120345.001 A Common, CMN
e Look at this diagram.
q Which expression below is equivalent to
32 × 34? D 12 C
M 6
A. 36 L
B. 38 ?
110º J K
C. 96 A B
D. 98
Trapezoid ABCD is similar to trapezoid
JKLM. What is the measure of ∠K ?
A. 55°
120494.000 D Common, CMN
B. 70°
w Which triangle is not possible to construct? C. 110°
A. a right isosceles triangle D. 140°
B. an acute equilateral triangle
C. an obtuse scalene triangle
D. a right equilateral triangle 120357.000 B Common, CMN
r Henry rode his bike around a circular track.
One time around the track is about 300 feet.
About how far is it from one side of the
track through the center to the other side?
A. 50 feet
B. 100 feet
C. 600 feet
D. 900 feet
1
NECAP_2010_Grade 7 Math_Released

3. 181205.000 181206 C Common, CMN 120362.001 130609 A Common, CMN
t Wendy is playing a racing game. This graph y Look at this table.
shows the relationship between the time it
takes Wendy to finish a race and the number Client Charges
of points she earns.
Client Hours Charge
Racing Game Points
600 Angie 2.0 $40.00
500 Dave 1.5 $32.50
400 Frank 3.0 $55.00
Points
300 Carrie 0.5 $17.50
200
Deb 2.5 $47.50
100
Yoshi is a personal trainer. The table shows
0 10 20 30 40 50 60 how much he charges his clients. Yoshi
Time (in seconds) has two new clients, Wayne and Emily. He
worked with Wayne one more hour than he
Based on this graph, how many points does did with Emily. How much more money did
Wendy earn when she finishes a race in Yoshi charge Wayne than he charged Emily?
80 seconds? A. $15.00
A. 250 B. $20.00
B. 200 C. $25.00
C. 150 D. $35.00
D. 100
2
NECAP_2010_Grade 7 Math_Released

4. 120509.000 120510 C Common, CMN
u Kevin earns $5 per hour working at an ice
rink. Which graph best represents Kevin’s
total earnings over time?
181194.000 B Common, CMN
Kevin’s Earnings i Look at this equation.
Amount Earned ($)
15
10
A. What is the value of w when t = 12?
5
A. 24
0 1 2 3 4
B. 14
Time Worked (hours) C. 12
D. 9
Kevin’s Earnings
Amount Earned ($)
15
10
B.
5
0 1 2 3 4
Time Worked (hours)
Kevin’s Earnings
Amount Earned ($)
15
10
C.
5
0 1 2 3 4
Time Worked (hours)
Kevin’s Earnings
Amount Earned ($)
15
10
D.
5
0 1 2 3 4
Time Worked (hours)
3
NECAP_2010_Grade 7 Math_Released

5. 145376.001 145377 D Common, CMN 140279.003 D Common, CMN
o This scale is balanced. 1) Each member of a computer club picks a
password that is three characters long.
• The first character in each password is
a vowel (A, E, I, O, U).
• The second and third characters are
digits from 1 through 3.
• A digit can be repeated.
Let c be the weight of one cube and p be the
How many different passwords are possible?
weight of one pyramid. Based on the scale,
which equation represents the relationship A. 8
between c and p? B. 15
A. 5c = 6p C. 30
B. 5p = 6c D. 45
C. c = 2p
D. p = 2c
4
NECAP_2010_Grade 7 Math_Released

6. 120387.002 Common, CMN
1! The temperature at 4:00 P.M. was –6 degrees Celsius. By 10:00 P.M., the temperature had decreased by
5 degrees Celsius. What was the temperature at 10:00 P.M.?
120406.001 Common, CMN
1@ The equation below shows the relationship among the number of faces, f, the number of vertices, v,
and the number of edges, e, of any prism.
A prism has 6 faces and 12 edges. How many vertices does the prism have?
120427.001 120428 Common, CMN
1# Look at this scale drawing of a porch.
Porch
Scale
1 cm represents 4 ft
Use a ruler to answer this question. What is the perimeter, in feet, of the porch? Show your work or
explain how you know.
5
NECAP_2010_Grade 7 Math_Released

7. 144756.003 144757 Common, CMN
1$ This stem-and-leaf plot shows the temperature at 6 A.M. for 26 days of one month.
Temperature (°F)
0 1 1 3 6 7 7 7
1 4 4 5 6 7
2 0 1 2 3 3 8
3 0 0 2 3 5 6 7 8
Key
0 3 represents 3°F
a. What is the mode of this data set?
b. When data for the last four days of the month are included in the set, the mode decreases but the
median does not change. List a set of four temperatures that could give this result.
139987.006 Common, CMN
1% Jana uses 20 cards to play a memory game. The cards are either animal cards or fruit cards. The ratio
of animal cards to fruit cards is 2:3.
a. Draw a model to show the ratio of animal cards to fruit cards. Use the letter A to represent animal
cards and the letter F to represent fruit cards.
b. How many of the 20 cards are animal cards?
1
c. Of the fruit cards, have bananas on them. How many cards have bananas on them? Show your
3
work or explain how you know.
6
NECAP_2010_Grade 7 Math_Released