Name __________________________ _ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Fonn A Numeration, Patterns, and

Relationships Read each question. Then mark your answer on the sheet.

II What is the value of the 4 in 224, 759,600?

A Four thousand B Forty thousand C Four hundred thousand D Four million

II Which list shows these numbers ordered from greatest to least?

A 7 ,890,900; 7 ,809,900; 5,475,700; 4,979,450

B 7,809,900; 7,890,900; 5,475,700; 4,979,450

c 4,979,450; 5,475,700; 7 ,890,900; 7,809,900

D 4,979,450; 5,475, 700; 7,809,900; 7,890,900

II A company raised $17,517,859 for charity. Rounded to the nearest hundred thousand, how much money was raised?

A $17,000,000 C $17,500,900 B $17,500,000 D $18,000,000

II Which number shows the location of point 8?

A 8 c • I I • I I • I I I • I

-5 0

A -2 c 2 B -1 D 3

D • I • 5

II The temperature was -4°F when Robert woke up. By noon the temperature had risen 6 degrees. What was the temperature at noon?

A -10°F B -2°F

C 2°F D 10°F

II The temperature changed from 8 degrees to -2 degrees. Describe the temperature change.

A It dropped 1 0 degrees. B It dropped 6 degrees. C It rose 6 degrees. D It rose 1 0 degrees.

II Which equation describes the function table?

A n=3m-4 B n=2m-3 C n=m+4 D m=n+4

m -1 1 3 5

n -5 -1 3 7

109

Name ____________________________ __ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Form A Numeration, Patterns, and Relationships <continued)

Read each question. Then mark your answer on the sheet.

Which ordered pair names point A?

A

-p- -

D

A (-1, 3) B (-3, 2) c (3, -2) D (2, -3)

c

-

y t::'

"

,.,. ,., -.. 0 ·I

8 E "L

·v

-....

X

Which ordered pair is located on line m?

"'r] " - -

A (-1, 3) B (1, -3) c (-2, -4) D (2, 4)

110

y

'\. L

0 .... " ' X

" "'

II

Evaluate (18 + 3) + (9 - 7).

A 1 B 3 c 8 D 12

A gallon of milk contains 128 ounces. Which expression shows the number of ounces in g gallons?

A 128 + g B 128-7- g c 128g D g- 128

If n = 6, what is 5n - 2?

A 20 B 28 c 30 D 32

Find the value of n.

7(n + 5) = (7 X 4) + (7 X 5)

A n=3 B n=4 c n=5 D n=6

Name __________________________ __ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Fonn A Operations with Whole Numbers

Read each question. Then mark your answer on the sheet.

A baker made 1,296 rolls on Monday. He put 6 rolls in each package. How many packages of rolls did the baker make on Monday?

A 21 packages B 206 packages C 212 packages D 216 packages

II Use an exponent to write 3 X 3 X 3 X 3 X· 3.

A 33

B 34

c 35

D 53

Which is the prime factorization of78?

A 2 X 3 X 13 8 22 X 3 X 13 C 23 X 13 D 2 X 39

2,700 + 30 =

A 9 B 90 c 900 D 9,000

Mandy has 230 pictures. She wants to place an equal amount of pictures on 12 different posters. About how many pictures should be placed on each poster?

A About 1 0 pictures B About 15 pictures C About 20 pictures D About 25 pictures

32)268

A 8 B 8R9 C 8 R12 D 8 R16

73)61,324

A 840 R4 B 840 R40 C 841 R14 D 841 R40

111

Name ______________________________ __ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Form A Fractions and Decimals

Read each question. Then mark your answer on the sheet.

What is the improper fraction 254

written as a mixed number?

A 41 5 B 5 c 5 o 51

5

Which is : in simplest form?

9 A 15

9 B 20

6 c13 9

D 10

Which is three and thirty-one thousandths in decimal form?

A 331,000 B 3.3100 c 3.301 D 3.031

Which is 23.862 rounded to the nearest tenth?

A 20 B 23.8 c 23.86 D 23.9

112

0 8

Which is NOT correct?

A 0.36 < 0.3 B 0.6 = 0.60 c 0.46 > 0.45 D 3.291 > 3.219

Point P can be represented by which fraction and decimal?

p

A 3 8 and 0.375

B 4 8 and 0.5

c 5 8 and 0.75

D 6 8 and 0.75

Identify the point located 53

at 2100" M T w

8 8

II( I I I • I I I I I • I I I • I 2.50

A Point K B PointM C Point W

D PointZ

2.60 2.70

Name __________________________ _ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Fonn A Fractions and Decimals <continued)

Read each question. Then mark your answer on the sheet.

II Mrs. O'Neill bought pounds of chicken. The recipe she is preparing calls for 1 pounds of chicken. How much chicken will Mrs. O'Neill have left?

A

B 1 pound

C pounds

D pounds

Which is the best estimate for

A About 6 B About 7 C About 8 D About 9

Fisher bought pound of cashews and pound of peanuts for the company picnic. How many pounds of nuts did Fisher buy?

A

B pounds

C 1t pounds

D 1152 pounds

Janet bought pound of grapes. She used pound in a fruit salad. How much did she have left?

A

B t pound

&1 + 2g = 9 3

A a1 3

B a1 2

!x!= 9 3 A g_

3 B g_

9

C

D pounds

c ai 9 o a!! 9

c..§ 27

o_i_ 27

A bread recipe calls for 5 cups of flour. If you add flour to the dough 1 cup at a time, how many times will you add flour to the dough?

A § 4

B 10

. 3 . .1...? What 1s 4 -=- 12 ·

A 12 B 9

c 15 ·o 20

c 4 D 3

113

Name ______________________________ __ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Form A Fractions and Decimals <continued>

Read each question. Then mark your answer on the sheet.

The odometer on a bike showed 38.4 miles at the end of the first day and 52.9 miles at the end of the second day. About how many miles was the bike ridden the second day?

A About 90 miles B About 53 miles C About 15 miles D About 8 miles

Lenny's fence is 6.9 meters long. He adds a new section that is 2.19 meters long. What is the total length of the fence?

A 4. 71 meters B 9.09 meters C 9.19 meters D 9.99 meters

Kevin finished the race in 43.62 seconds. Melvin finished the race in 51.06 seconds. How much faster did Kevin run the race?

A 7.24 seconds B 7.34 seconds C 7.44 seconds D 8.34 seconds

114

Each bottle holds 3. 78 liters of grape juice. About how many liters of grape juice would Cher have if she bought 6 bottles?

A About 16 liters B About 18 liters C About 20 liters D About 24 liters

A container in a pharmacy holds 0. 72 liter of a solution. Mrs. Dwyer used 0.5 of the container for a prescription. How much did she use?

A 0.036 liters B 0.36 liters C 3.61iters D 36 liters

What is 3.5 x 0.05?

A 0.0175 B 0.175 c 1.75 D 17.5

What is 0.343 + 0.07?

A 0.049 B 0.49 c 4.9 D 49

Name __________________________ __ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Form A Fractions and Decimals <continued)

Read each question. Then mark your answer on the sheet.

II 24)2.16

A 0.9 B 0.8 c 0.18 D 0.09

Which percent names the shaded part?

A 40% B 47% c 49% D 51%

Which shows 6°/o as a decimal?

A 0.06 B 0.6 c 0.66 D 6.00

Which does not represent the shaded part?

A 7%

B 0.07

7 c TOo D 0.7

A survey showed that of the people who saw the latest movie at the theater did not like it. What percent of the people liked the movie?

A 10% B 25%

c 75% D 80%

Which shows 12°/o as a fraction in simplest form?

A 1 2 3

B 25

12 c 100 1

D 12

What is 30°/o of 200?

A 20 B 30

c 40 D 60

115

Name ______________________________ __ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Form A Measurement and Geometry

Read each question. Then mark your answer on the sheet.

Use the figure for Questions 50 and 51.

A

0

Which line is perpendicular to ....,___.. AS?

....._. ....,___.. A AB C DB

....,___.. ....._. B BC DAD

Which line appears to be .,._.._. parallel to AB?

....,___.. A BC

._..... B AC

._..... C DB

....,___.. D DC

Hillary built a triangular sandbox for her sister. Each side was 5 meters long. What type of triangle did she form?

A Equilateral B Isosceles C Scalene D Straight

116

What is the measure of angle A in the quadrilateral?

A

Which is the top view of the figure?

Name __________________________ _ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Fonn A Measurement and Geometry <continued)

Read each question. Then mark your answer on the sheet.

II What is the perimeter of the figure?

Scm D3cm A Bern B 14cm C 16cm D 18cm

What is the area of the parallelogram?

7 Bm

A 13.6 m2

B 54.4 m2

C 27.2 m2

D 24.1 m2

Jason's garden is a rectangle 7 meters wide and 8 meters long. He divides the garden by putting a string from one corner diagonally to the opposite corner. He plants corn on one side of the string. What is the area planted in corn?

A 14 square meters B 28 square meters C 42 square meters D 56 square meters

II What is the volume of the figure?

?=717cm

L__Ucm 7cm

A 343 cm3

B 283 cm3

C 49 cm3

D 21 cm3

Meredith needs to wrap a box with paper. The box measures 6 wide, 8 inches long, and 9 inches tall. What is the surface area of the box?

6 in. 6 in.

8 in.

9 in.

6 in. L____ ___

A 300 in.2

B 348 in.2

C 432 in.2

D 864 in.2

6 in. 8 in.

117

Name ______________________________ _ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Fonn A Data Analysis and Probability

Read each question. Then mark your answer on the sheet.

Use the data below for Questions 60 and 61.

Weight (lb) 98 11 o3 I 6s I 89 I 92 I 97 89

Find the median for this set of data.

A 381b B 891b

c 90.41b D 921b

If the outlier of 65 pounds is changed to 88 pounds, how would the median change?

A The median would change. B The median would increase. C The median would decrease. D There is not enough

information to tell.

Use the data below for Questions 62 and 63.

Janzen made the following scores on his math tests.

88 72 94 89 97

What is Janzen's mean score?

A 84 B 86

118

c 88 D 440

14 12

al 8 0

Ci5 6 4

::J z 2 0

If Janzen makes a 100 on his next math test, how would his mean score change?

A The mean would not change. B The mean would increase. C The mean would decrease. D There is not enough

information to tell.

The line graph shows how the number of computers for each student in U.S. public schools changed over time.

Students for Each Computer in U.S. Public Schools

"" " " '- ,..__

1998 1999 2000 2001 2002 2003 2004 2005 Year

What was the first year when there were less than 6 students for each computer?

A 2003 B 2002 c 2001 D 2000

Name __________________________ __ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Fonn A Data Analysis and Probability <continued)

Read each question. Then mark your answer on the sheet.

Which sector represents of the circle graph?

Television/ Computer

Reading/ Homework

Playing

A School C Play B Sleeping D Other

Use the graph for Questions 66-68. Subs Sold

I I i10 .a E 8 ::::J z 6

4 2 0

Chicken Ham Turkey Tuna

How many chicken subs were sold?

A 8 B 10

c 12 D 18

How many more turkey subs were sold than tuna?

A 12 B 6

c 8

D 4

How many more of the most popular sandwich were sold than the least popular?

A 18 B 10

c 8 D 6

In a circle graph of the data, which sector would be of the whole?

Item Amount$ Boots $64 Turtleneck $14 Sweater $40 Socks $10 Jeans $32

A Boots C Socks B Jeans D Sweater

Which is the most appropriate graph to display the data?

Year Population 1970 12,000,000 1980 13,750,000 1990 15,250,000 2000 18,790,000

A Pictograph B Line plot C Line graph D Circle graph

119

Name ____ Math Diagnosis and Intervention System Grade 5 Diagnostic Test, Fonn A Problem Solving

Read each question. Then mark your answer on the sheet.

How much more will it cost Heather to buy 24 tulips rather than 24 mari_golds?

$0.33 each $0.75 each $9.00 each $0.25 each

A $7.92 B $6.00

c $2.29 D $1.92

In a group of children, there are 5 boys for every 6 girls. How many boys are there in the group if there are 48 girls?

A 30 boys B 40 boys

C 50 boys D 60 boys

There are 24 servings in a box of 144 crackers. Which equation can be used to find how many crackers are in each serving?

A 144 + 24 = n B 144- 24 = n C 24 x 144 = n D 144 -:- 24 = n

120

Suppose the stack of cubes shown is painted so that the top and bottom of the stack are green and the other 4 faces of the stack are yellow. How many of the cubes have both green and yellow faces?

A 12 cubes B 10 cubes C 8 cubes D 4 cubes

One large dish of lasagna calls for 24 ounces of cheese. Which of the following is the only reasonable number of large dishes of lasagna that can be made with 216 ounces of cheese?

A 4 dishes B 9 dishes C 12 dishes D 20 dishes