paws mathematics 3468367 grade 08 a paws skill 1 ... sample items grade8.pdfpaws mathematics 3468367...

PAWS Mathematics

3468367 Grade 08 Content Standard A Algebra PAWS Skill 1 Understand patterns, relations, and functions.

Context b Using the order of operations, given integer values for variables, in linear expressions and formulas.

Item Type MC Multiple Choice A school held a fall festival. The equation below can be used to determine r, the attendance revenue in dollars, based on t, the number of tickets sold during the festival.

2r t=

If the attendance revenue totaled $178, what was the number of tickets sold? A. 89 B. 176 C. 180 D. 356

PAWS Mathematics

3468724 Grade 08 Content Standard A Algebra PAWS Skill 1 Understand patterns, relations, and functions.

Context a Problem solving situations will include 1-step equations, with integer coefficients and solutions.

Item Type MC Multiple Choice If _3 12x = , what is the value of the expression below?

6x −

A. –30 B. –10 C. –4 D. –2

PAWS Mathematics

3468384 Grade 08 Content Standard A Algebra

PAWS Skill 2 Use mathematical models to represent and understand quantitative relationships.

Context a Problem solving situations will include creating tables and graphing the solutions on a coordinate plane.

Item Type ER Extended Response Brooke charges a flat fee of $10, plus an additional $15 for each hour she baby-sits on the weekend. The equation below shows how Brooke can determine c, the total charges for baby-sitting h hours.

1015 += hc Part A. Complete the table below to show c, the total charge in

dollars for each of the hours listed. Show or explain how you got your answers.

Baby-sitting Fee

Hours (h) Total Charge (c)

1

2

3

4

Part B. On the grid below, create a graph and plot points to

represent the pairs of values from the table you created in Part A. Connect the points to create a line. Be sure to use an appropriate scale for each axis.

Part C. Last Saturday, Brooke charged a total of $107.50 for baby-

sitting.

What number of hours did she baby-sit? Write your answer in the space below. Show or explain how you got your answer.

Number of Hours : _______

PAWS Mathematics

3468386 Grade 08 Content Standard A Algebra

PAWS Skill 2 Use mathematical models to represent and understand quantitative relationships.

Context b Using symbolic reasoning to translate word problems involving one or more of the four basic operations into mathematical expressions and equations.

Item Type MC Multiple Choice During a basketball game, Caleb scored 10 fewer points than Alex. If c represents the number of points scored by Caleb, which of these represents the number of points scored by Alex? A. 10c +

B. 10c −

C. 10c ⋅

D. 10c ÷

PAWS Mathematics

3468383 Grade 08 Content Standard D Data Analysis and Probability

PAWS Skill 1 Collect, organize, and display relevant data to answer questions and use appropriate statistical methods to analyze the data.

Context b

Contexts will allow students to make observations, inferences, conjectures, and use statistical reasoning to make generalizations about a population from data presented as tables, charts, diagrams, and graphs.

Item Type MC Multiple Choice In a recent survey, people planning to take a vacation at the end of the summer were asked to provide their travel destination. The results of the survey are shown in the graph below.

Which of the following statements is best supported by the survey results? A. About 1 in every 9 people surveyed planned to travel to the beach.

B. One-fifth of the total number surveyed planned to visit a theme park.

C. More than half of the total number surveyed planned to visit either the outdoors or a historical area.

D. The number surveyed who planned to visit a theme park was less than 50% of the number surveyed who planned to visit friends and family.

PAWS Mathematics


PAWS Skill 1 Collect, organize, and display relevant data to answer questions and use appropriate statistical methods to analyze the data.

Context a Problem solving situations with mean, median, mode, and range.

Item Type MC Multiple Choice The graph below shows the number of trips Sean’s mother made to the grocery store each month during the last six months.

What is the mean number of trips Sean’s mother made to the grocery store each month during the last six months? A. 3 B. 4 C. 5 D. 6

PAWS Mathematics


PAWS Skill 2 Develop and evaluate inferences and predictions that are based on data.

Context a Problem solving situations involving simple probability and communicating the likelihood of events from experiments or simulations.

Item Type MC Multiple Choice Melissa will be selecting at random a candy from a bag. Each bag contains 42 pieces that are equal in size and are the following colors. • 11 blue • 4 brown • 7 green • 5 yellow • 15 red Based on this information, which of the following predictions best describes Melissa’s first color selection from the candy bag? A. It is certain that she will select a red candy.

B. It is unlikely that she will select a blue, green, or red candy.

C. It is more likely that she will select a blue candy than a brown candy.

D. It is equally likely that she will select a green candy as it is she will select a brown or yellow candy.

PAWS Mathematics


PAWS Skill 2 Develop and evaluate inferences and predictions that are based on data.

Context a Problem solving situations involving simple probability and communicating the likelihood of events from experiments or simulations.

Item Type SR Short Response Marcus will be conducting a probability experiment by selecting marbles at random from a bag that contains the marbles shown in the table below.

Number of Marbles

Color Number Red 7 Blue 22 Green 9 Yellow 12

What is the probability that the first marble Marcus selects will be blue? Write your answer in the space below. Show or explain how you got your answer. Probability : _______

PAWS Mathematics

3468374 Grade 08 Content Standard G Geometry

PAWS Skill 1 Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

Context b Classifying/describing lines, rays, segments, and angles. Item Type MC Multiple Choice Use your protractor to answer the following question. Quadrilateral JKLM is shown below.

Which is the largest acute angle in quadrilateral JKLM? A. J∠ B. K∠ C. L∠ D. M∠

PAWS Mathematics


PAWS Skill 1 Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

Context a Problem solving situations will include the Pythagorean Theorem.

Item Type SR Short Response Triangle ABC is shown on the coordinate grid below.

What is the length of side AC ? Write your answer in the space below. Show or explain how you got your answer. Length of AC : _______

PAWS Mathematics


PAWS Skill 3 Apply transformations and use symmetry to analyze mathematical situations.

Context a

Problem solving situations include real-world situations requiring communicating with mathematical language to interpret, analyze, and/or illustrate transformations, congruency and similarity.

Item Type MC Multiple Choice Ms. Jackson made this graph to show the location of her desk in the classroom. She labeled one corner of her desk point A.

Ms. Jackson rotated the desk on the graph 180 degrees about the origin. After the rotation, which of these best represents the new location of point A? A. (3, 5)−

B. ( 5,3)−

C. ( 3, 5)− −

D. ( 5, 3)− −

PAWS Mathematics


PAWS Skill 3 Apply transformations and use symmetry to analyze mathematical situations.

Context a

Problem solving situations include real-world situations requiring communicating with mathematical language to interpret, analyze, and/or illustrate transformations, congruency and similarity.

Item Type MC Multiple Choice Parallelogram ABCD shown below will be reflected over the y-axis.

Which ordered pair best represents the new location of point B after the reflection? A. ( )3,4

B. ( )4, 3−

C. ( )4, 3− −

D. ( )3, 4− −

PAWS Mathematics

3468365 Grade 08 Content Standard M Measurement

PAWS Skill 1 Understand measurable attributes of objects and the units, systems, and processes of measurement.

Context a

Problem solving situations which require use of appropriate methods, tools, units, and proportional reasoning to solve problems involving angle measures (such as the concept of complementary and/or supplementary angle relationships).

Item Type MC Multiple Choice The diagram below shows line PT and ray QR .

What is x, the degree measure of RQT∠ ? A. 38° B. 50° C. 76° D. 104°

PAWS Mathematics


PAWS Skill 1 Understand measurable attributes of objects and the units, systems, and processes of measurement.

Context b Models and real-world problems including estimation and conversion of weight/mass/capacity/volume within metric and customary units.

Item Type MC Multiple Choice Ms. Jensen is going to distribute a new math textbook to each student in her eighth-grade class. • Each book weighs 36 ounces. • There are 24 students in her math class. What is the total weight in pounds of all 24 math textbooks? A. 54 lb B. 60 lb C. 480 lb D. 864 lb

PAWS Mathematics


PAWS Skill 2 Apply appropriate techniques, tools, and formulas to determine perimeter, area or volume.

Context b Surface area and volume of rectangular solids in real-world situations.

Item Type MC Multiple Choice Lawrence is a shipping manager for a sporting goods supplier. The drawing below shows the measurements of a cardboard box he used to mail a baseball bat. The box is in the shape of a rectangular prism.

Which of these expressions is equivalent to the surface area in square inches of the box? A. 2[(32)(5)(6)]

B. 2(32 5 6)+ +

C. ( )2[(32 5) (5 6) 32 6 ]+ + + + +

D. 2[(32 5) (5 6) (32 6)]+ +⋅ ⋅ ⋅

PAWS Mathematics


PAWS Skill 2 Apply appropriate techniques, tools, and formulas to determine perimeter, area or volume.

Context a Problem solving situations will include calculating area and circumference of circles.

Item Type ER Extended Response Loretta wants to cut a large circle from a rectangular piece of paper that is 24 inches in length and 18 inches in width. Part A. What is the area in square inches of the largest circle that

can be cut from the piece of paper? (Use 3.14π ≈ ) Write your answer in the space below. Show or explain how you got your answer.

Area in Square Inches : _______ Part B. What is the area in square inches of the remaining piece of

paper after the circle is cut out? Write your answer in the space below. Show or explain how you got your answer.

Area in Square Inches : _______

PAWS Mathematics

3468373 Grade 08 Content Standard N Number Operations and Concepts

PAWS Skill 1 Understand the meaning of arithmetic operations and make reasonable estimates.

Context b Fraction/percent/decimal conversions. Item Type MC Multiple Choice The following describes the ages of all 280 people who attended the baseball game Friday night. • 5% were less than 13 years of age

• 25

were between 15 and 16 years of age

• 35% were between 17 and 18 years of age

• The remaining people in attendance were 19 years of age and older.

What is the number of people 19 years of age and older who attended the baseball game? A. 56 B. 80 C. 113 D. 224

PAWS Mathematics


PAWS Skill 1 Understand the meaning of arithmetic operations and make reasonable estimates.

Context a Problem solving situations with estimation and real-world problems involving rational numbers and/or justification of results by inductive reasoning.

Item Type SR Short Response Andy’s mom bought 3 pizzas for Andy to share with 4 friends. If Andy and his friends shared the pizzas equally, what fractional part of a whole pizza did each receive? Write your answer in the space below. Show or explain how you got your answer. Part of the Pizza : _______

PAWS Mathematics


PAWS Skill 2 Understand ways to represent numbers, relationships among numbers, and number systems.

Context a Problem solving situations and a variety of models will include representing, ordering, and comparing with rational and integer numbers.

Item Type MC Multiple Choice Which of the following numbers is closest in value to 10?

2 19 119.6, 9 , 9 , 9

3 30 20

A. 9.6

B. 2

93

C. 19

930

D. 11

920

PAWS Mathematics


PAWS Skill 2 Understand ways to represent numbers, relationships among numbers, and number systems.

Context a Problem solving situations and a variety of models will include representing, ordering, and comparing with rational and integer numbers.

Item Type MC Multiple Choice Which of the following is closest in value to –3?

A. ( )21−

B. 32

−

C. ( )32−

D. 143

−

PAWS Mathematics


PAWS Skill 3 Develop the connection between conceptual understanding and computational proficiency.

Context b Computational fluency with integers to include the order of operations.

Item Type MC Multiple Choice What is the value of the expression below?

7 4(5 3) (2 6)+ − − ⋅ A. 3 B. 10 C. 25 D. 132

PAWS Mathematics


PAWS Skill 3 Develop the connection between conceptual understanding and computational proficiency.

Context a Problem solving situations will include rational numbers, factors, multiples, and powers up to 5 of a given whole number.

Item Type MC Multiple Choice

Parker’s fence is divided into 6 sections that are all equal in length.

He used 1

24

quarts of paint to paint one section of his fence. What

is the least amount of paint he will need to paint all 6 fence sections?

A. 1

84

qts

B. 1

124

qts

C. 1

122

qts

D. 1

132

qts

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