If a class of 29 children, each of 20 children has a dog and each of 15 has a cat. How many of the c

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• If a class of 29 children, each of 20 children
  has a dog and each of 15 has a cat. How many of
  the children have both a dog and cat?
• (A) None of the children necessarily has both.
• (B) Exactly 5
• (C) Exactly 6
• (D) At least 6 and at most 15

• PRAXIS - WI
• Kaufmann
• Stracke
• Kosiak

Dogs and Cats
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Standards

• Praxis

• WMAS
• Mathematical Processes
• A.8.1 Use reasoning abilities to evaluate
  information, perceive patterns, and identify
  relationships.
• F. Algebraic Relationships
• F.8.1 Work with algebraic expressions in a
  variety of ways, including using appropriate
  symbolism, evaluating expressions through
  numerical substitution, generating equivalent
  expressions, and adding and subtracting
  expressions
• F.8.3 Recognize, describe, and analyze functional
  relationships by generalizing a rule that
  characterizes the pattern of change among
  variables.
• F.8.4 Use linear equations and inequalities in a
  variety of ways, including writing them to
  represent problem situations and to express
  generalizations, solving them by different
  methods, writing and evaluating formulas, using
  them to record and describe solution strategies.

3
There are 15 students in a class. Seven like
both pie and cookies. Three like only cookies
and two like only pie.
1. How many students like neither pie nor
cookies? a. 2 b. 3 c. 7 d. 5
2. How many students like pie? a. 9 b. 2 c. 7 d.
12
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There are 17 frogs in the pond and 12 turtles in
the pond. Every frog eats 2 flies per day and
every turtle eats 4 minnows per day.
4. How many flies and minnows are eaten in this
pond every day? a. 0 b. 6 c. 29 d. 82
3. How many animals eat both flies and
minnows? a. 0 b. 6 c. 29 d. 82
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5. In a given class, there are 3 math majors, 4
science majors, 15 English majors, and there are
45 people in the class. How many people have
other majors?
a. 22 b. 23 c. Between 20 and 25 d. 30
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6. A class orders 10 pizzas, 4 of which are
pepperoni, 2 sausage, 1 pepperoni and sausage and
the rest are cheese. How many pizzas are both
pepperoni and sausage or neither pepperoni nor
sausage? a. 0 b. 3 c. 7 d. 4
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7. The number of people that only like novels,
newspapers, or magazines is equal in a classroom
of 30 students. Six like both novels and
newspapers, two like newspapers and magazines,
four like magazines and novels, and six like all
three types of literature. How many like just
one type of literature? a. 10 b. 4 c. 12 d. 6
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8. In a school of 800 students there are 400
boys and 400 girls. 132 boys only like white
milk, and 132 boys like either white or chocolate
milk. 59 girls like only white milk, and 102
girls like either white or chocolate milk. How
many students like chocolate milk? a. 609 b.
375 c. 425 d. 234
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9. In a school of 220 students, 58 get Cs, 132
get Bs and 30 get As. If 50 students get Cs
and Bs and 20 students get Bs and As
How many students get only As or Bs? a. 20 b.
162 c. 72 d. 112
How many students only get Cs? a. 104 b. 162 c.
58 d. 8
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10. A coach is starting a basketball team and
will have four guards and five forwards. The
coach has not decided how many centers to have on
the team. How many players will be on the
team? a. 9 b. At least 9 c. Unable to determine
from the given information d. 11
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Describe the Hint and the Sandbox (in detail).
Put the children in the appropriate category. If
too many children appear in one category a pop-up
will appear telling the test taker to check the
category for the number of appropriate students.
When drawing a Venn diagram make sure there is
not more than 29 students and not more than 15
students with cats and 20 students with dogs.
Children with Cats
Children with Dogs
Both
Dogs and Cats