PAWS Mathematics

Released Items

(With Data)

2006

PAWS Mathematics

Grade 3

page: 18

Marilyn made the pattern shown below.

6, 12, 18, 24, 30, 36, . . .

Which of these could be the rule Marilyn used to make this pattern?

A Add 4

B Add 6 *

C Multiply by 2

D Multiply by 6

Mathematics

Copyright © 2005 by Harcourt Assessment, Inc. All rights reserved.05/24/2006 ver. 001

CID: 3337628

CID: 3337628

CID: 3337628

Grade: 03 MATH PAWS 2006 (OP) Type: MC

Form: OP1 Position: 26

Rasch Difficulty: -1.8807

N: 6145 Mean: 0.84 Item-total Correlation: 0.37 Max Pt: 1

03MN305E1542 3373479

●1 Mr. Johnson wrote the number shown below on theclassroom board.

Part A. What is the place value of the digit 4 in 8,436?Show or explain how you got your answer.

Place Value: _______________

____________________________________________________

____________________________________________________

Part B. In the space below, write 8,436 in word form.

____________________________________________________

____________________________________________________

8,436

Part C. In the space below, write a four-digit number instandard form that has a 9 in the thousands place.

___________________________

Part D. In the space below, write your number from Part Cin word form.

____________________________________________________

____________________________________________________

CID: 3373479

Grade: 03 MATH PAWS 2006 (OP) Type: OE

Form: OP1 Position: 56

Rasch Difficulty: -0.9862

N: 6116 Mean: 2.75 Item-total Correlation: 0.45 Max Pt: 4

PAWS Mathematics

Grade 4

page: 27

The Rico family is building a game room. The floor of the game room has the shape of arectangle. The diagram below shows the dimensions of the game-room floor.

What is the area of the game-room floor in square feet?

A 25 sq ft

B 50 sq ft

C 144 sq ft

D 146 sq ft

Mathematics

02/15/2006 ver. 001

CID: 3341526

CID: 3341526

CID: 3341526

Grade: 04 MATH PAWS 2006 (OP) Type: MC

Form: OP1B Position: 27

Rasch Difficulty: 0.6649

N: 6206 Mean: 0.51 Item-total Correlation: 0.35 Max Pt: 1

04MG105S0701 3338307 3338307_AR1

●4 Which figure below does not have the same number ofvertices as the others? Show or explain how you gotyour answer.

Figure: _______________

_____________________________________________________

_____________________________________________________

Figure A Figure B Figure C Figure D

CID: 3338307

Grade: 04 MATH PAWS 2006 (OP) Type: OE

Form: OP1B Position: 46

Rasch Difficulty: -0.9309

N: 6175 Mean: 1.38 Item-total Correlation: 0.30 Max Pt: 2

PAWS Mathematics

Grade 5

page: 7

Casey has $52.47 in her savings account. Samuel has $52.97 in his savings account. Howmuch more money does Casey need in her account to have the same amount of money asSamuel has in his account?

A $0.02

B $0.47

C $0.50

D $0.57

Mathematics

02/15/2006 ver. 001

CID: 3337700

CID: 3337700

CID: 3337700

Grade: 05 MATH PAWS 2006 (OP) Type: MC

Form: OP1A Position: 9

Rasch Difficulty: -2.1588

N: 5977 Mean: 0.92 Item-total Correlation: 0.36 Max Pt: 1

05MD105E1361 3342979

●6 Students in three different grades were asked if they preferpizza or hamburgers. The results of the survey are shown inthe table below.

Part A. On the grid provided below, create a double bar graph thatrepresents the results of the survey. Be sure to label eachaxis and give the graph a title.

PizzaHamburgers

2632

2233

2834

Grade 3 Grade 4 Grade 5

Pizza vs. Hamburgers Survey Results

05MD105E1361 3342979

Part B. Which grade had the most responses? In the space below,show or explain how you got your answer.

Grade:_____________________

____________________________________________________

____________________________________________________

Part C. Which should be included more often on the school’s lunchmenu, pizza or hamburgers? In the space below, use thesurvey results to show or explain your reasoning.

____________________________________________________

____________________________________________________

____________________________________________________

CID: 3342979

Grade: 05 MATH PAWS 2006 (OP) Type: OE

Form: OP1B Position: 49

Rasch Difficulty: 0.6047

N: 5921 Mean: 2.08 Item-total Correlation: 0.47 Max Pt: 4

PAWS Mathematics

Grade 6

page: 14

Point M is shown on the number line below.

Which best describes the location of point M?

A

B *

C

D

Mathematics

Copyright © 2005 by Harcourt Assessment, Inc. All rights reserved.05/24/2006 ver. 001

CID: 3415303

CID: 3415303

CID: 3415303

Grade: 06 MATH PAWS 2006 (FT) Type: MC

Form: 01 02 03 Position: 8

Rasch Difficulty: 1.6382

N: 1376 Mean: 0.40 Item-total Correlation: 0.49 Max Pt: 1 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 13 40* 13 34 0 0 High 6 78* 6 9 0 0 Med 15 30* 15 39 0 0 Low 14 12* 18 55 0 0 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Flag: N Ref.: 696 1157 1157 1198 1333 915 N Foc.: 680 143 43 178 43 433 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

06MA105E0811 3339307

●17 Derrick started the number pattern shown below.

2, 4, 8, 16, 32, . . .

Part A. What are the next 3 terms in the pattern? In the AnswerBook, show or explain how you got your answer.

Part B. In the Answer Book, describe the pattern, or write a rulethat Derrick could have used to create the pattern.

Part C. In the Answer Book, create another number pattern usingthe same rule Derrick used (Part B) but begin with adifferent number. Your pattern must contain 5 terms.

CID: 3339307

Grade: 06 MATH PAWS 2005 (FT) Type: ER

Form: 01 02 03 04 05 06 Position: 17

Rasch Difficulty: -0.4175

N: 1001 Mean: 3.04 Item-total Correlation: 0.49 Max Pt: 4 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 9 6 14 7 58 5 1 High 0 0 4 4 92 0 0 Med 3 5 16 10 65 0 0 Low 27 12 18 4 13 22 4 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Wh no no Flag: C C CC N Ref.: 505 829 829 890 975 717 N Foc.: 462 74 33 111 26 284 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

□ Accept as is □ Reject

PAWS Mathematics

Grade 7

07MD105M0927 3340131.AR1

●14 The graph below shows how water is used at Jane’s home.

If Jane’s family uses 1800 gallons of water each day, what is thetotal number of gallons of water used in the kitchen each day?

A. 90 gal. *

B. 180 gal.

C. 900 gal

D. 1800 gal.

WATER USAGE AT HOME

Laundry andcleaning (20%)Kitchen

Bathroom(75%)

CID: 3340131

Grade: 07 MATH PAWS 2005 (FT) Type: MC

Form: 01 02 03 04 05 06 Position: 14

Rasch Difficulty: -0.1597

N: 1026 Mean: 0.59 Item-total Correlation: 0.24 Max Pt: 1 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 56* 28 10 2 4 0 High 89* 6 4 0 0 0 Med 61* 29 9 1 0 0 Low 38* 33 12 5 13 0 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Flag: N Ref.: 503 806 806 915 997 747 N Foc.: 468 102 39 111 29 279 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

□ Accept as is □ Reject

WY FT Grade 7 Mathematics

07MM206S3051 3459690

●6 The circumference of a circle is 31.4 inches. What is the radius ininches of the circle? (Use ππ ≈ 3.14) Write your answer in the spacebelow. Show or explain how you got your answer.

Radius in Inches: _____________

_____________________________________________________

_____________________________________________________

CID: 3459690

Grade: 07 MATH PAWS 2006 (FT) Type: OE

Form: 01 02 03 Position: 32

Rasch Difficulty: 2.1903

N: 1243 Mean: 0.59 Item-total Correlation: 0.51 Max Pt: 2 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 56 22 17 3 1 High 23 23 52 1 0 Med 59 26 11 3 2 Low 80 13 0 5 3 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Flag: N Ref.: 647 1066 1066 1107 1208 858 N Foc.: 596 103 43 136 35 359 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

PAWS Mathematics

Grade 8

08MD205M1381 3343012

●22 The heights of the 10 players on a high school basketball team areshown below.

What is the median height of the players on the team?

A. 68 in.

B. 70 in.

C. 71 in. *

D. 72 in.

Heights of Players

63 in.

72 in.

70 in.

65 in.

76 in.

72 in.

69 in.

70 in.

72 in.

73 in.

CID: 3343012

Grade: 08 MATH PAWS 2005 (FT) Type: MC

Form: 01 02 03 04 05 06 Position: 22

Rasch Difficulty: 0.6071

N: 956 Mean: 0.45 Item-total Correlation: 0.35 Max Pt: 1 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 6 30 42* 17 5 0 High 0 13 81* 6 0 0 Med 3 29 50* 16 2 0 Low 12 37 17* 20 14 1 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Fe Wh LU Flag: B C B N Ref.: 434 759 759 861 938 728 N Foc.: 464 71 31 95 18 228 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

□ Accept as is □ Reject

WY FT Grade 8 Mathematics

08MM206S3037 3458625

●9 In math class Rachel was asked to build a rectangular prism using18 wooden cubes. The edges of each cube are 1 inch in length.

Part A. Rachel used all 18 cubes to build the prism. In the spacebelow, draw a picture of what Rachel’s prism could looklike, and write the dimensions of the prism.

WY FT Grade 8 Mathematics

08MM206S3037 3458625

Part B. What is the surface area of the rectangular prism youdrew in Part A? Write your answer in the space below.Show or explain how you got your answer.

Surface Area in Square Inches: ___________________

_____________________________________________________

_____________________________________________________

CID: 3458625

Grade: 08 MATH PAWS 2006 (FT) Type: OE

Form: 01 02 03 Position: 40

Rasch Difficulty: 2.5336

N: 1564 Mean: 0.65 Item-total Correlation: 0.45 Max Pt: 2 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 45 38 12 5 1 High 18 36 44 2 0 Med 44 44 6 5 1 Low 67 24 0 7 1 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Flag: N Ref.: 825 1349 1349 1385 1523 1072 N Foc.: 739 127 48 179 41 463 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

PAWS Mathematics

Grade 11

page: 10

The dimensions for a right square pyramid are shown below.

What is the lateral area of the pyramid?

A 180 cm2

B 324 cm2

C 504 cm2

*

D 828 cm2

Mathematics

Copyright © 2005 by Harcourt Assessment, Inc. All rights reserved.05/24/2006 ver. 001

CID: 3416496

CID: 3416496

CID: 3416496

Grade: 11 MATH PAWS 2006 (FT) Type: MC

Form: 01 02 03 04 05 06 Position: 29

Rasch Difficulty: 1.1599

N: 620 Mean: 0.31 Item-total Correlation: 0.10 Max Pt: 1 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 16 33 31* 20 0 0 High 2 18 44* 36 0 0 Med 15 37 27* 21 0 0 Low 31 35 29* 5 0 0 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Flag: N Ref.: 319 561 561 568 611 510 N Foc.: 301 40 9 52 9 105 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

□ Accept as is □ Reject

WY FT Grade 11 Mathematics

11MG106E2406 3416804 3416804_AR1, _AR2

●9 The diagram below represents a portion of the design plan for anew roller coaster.

Part A. If each unit on the grid represents 10 feet, what is thelength in feet of the roller coaster track represented by�AB? Write your answer in the space below. Show orexplain how you got your answer.

1110987654321

0 1 2 3 4 5 6 7 8 9 10 11

ROLLER COASTER TRACK SECTION

A

BH

eig

ht

Length

= 10 ft

Length: ___________________

_____________________________________________________

_____________________________________________________

WY FT Grade 11 Mathematics

Part B. The designer plans to add a point M to the diagram toshow a support brace on the section of track. Point M willbe at the midpoint of �AB. What will be the coordinates ofpoint M? Write your answer in the space below. Show howyou got your answer.

Coordinates of Point M: __________________

Part C. The circle in the diagram below shows an enlargement ofthe support brace for the section of track. The segmentlabeled “brace 2” is perpendicular to the track at themidpoint of �AB you found in Part B.

The designer needs to draw the segment for “brace 2” onthe graph. What should be the slope of the segmentlabeled “brace 2” on the graph? Write your answer in thespace below. Show how you got your answer.

midpoint

brace1

brace2

Track Section Enlargement

Slope of Brace 2: ____________________

CID: 3416804

Grade: 11 MATH PAWS 2006 (FT) Type: OE

Form: 01 02 03 04 05 06 Position: 47

Rasch Difficulty: 1.1636

N: 612 Mean: 1.13 Item-total Correlation: 0.69 Max Pt: 4 Distribution: A/00 B/01 C/02 D/03 04 OM Invld Tot. 34 38 13 9 5 1 0 High 1 18 24 32 24 1 0 Med 29 51 14 5 0 1 0 Low 72 25 1 0 0 3 0 DIF: Reference

Focal Male/ Female

White/ Hispanic

White/ Am. Indian

Non SPED/ SPED

Non LEP/ LEP

Non Lunch/ Lunch

Favored: Flag: N Ref.: 315 556 556 562 603 503 N Foc.: 297 37 9 50 9 104 DIF flags – “A/AA” means a zero or a negligible indication of DIF (Not shown); “B/BB” means a moderate indication of DIF; “C/CC” means a strong indication of DIF. DIF would not be calculated if N-count is less than 100.

□ Accept as is □ Reject