# Test ii mathematics sample questions

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Section 3: Test II (Mathematics) Sample Questions

SECTION 3

TEST II (MATHEMATICS) SAMPLE QUESTIONS

This section of the Georgia Assessments for the Certification of Educators? (GACETM) Preparation Guide

provides sample selected-response questions with an annotated answer key for you to review as part of your

preparation for the test. The sample selected-response questions are designed to illustrate the nature of the

test questions. Work through the questions carefully before referring to the annotated answer key, which

follows the sample selected-response questions. The answer key provides the correct response to each

question, describes why each correct response is the best answer, and lists the objective within the test

framework to which each question is linked.

Please note that definitions and formulas are provided for this test. Please refer to these materials as

needed in responding to the sample test questions. These materials are located in the Assessment

Reference Materials section at the end of this preparation guide.

Georgia Assessments for the Certification of Educators

Basic Skills Preparation Guide 3-1

Copyright ? 2006 by National Evaluation Systems, Inc. (NES?)

Section 3: Test II (Mathematics) Sample Questions

QUESTIONS

1. A pair of jeans originally sold for $80. They are now on sale

for 20% off. What is the sale price?

A. $60

B. $64

C. $74

D. $76

2. Which of the following expressions is equivalent to

5 - 4(6 + 2)?

A. 5 - (4 ? 6) + 2

B. 5 - [(4 ? 6) + 2]

C. 5 - (4 ? 6) - (4 ? 2)

D. 5 - (4 ? 6) + (4 ? 2)

Georgia Assessments for the Certification of Educators

3-2 Basic Skills Preparation Guide

Copyright ? 2006 by National Evaluation Systems, Inc. (NES?)

Section 3: Test II (Mathematics) Sample Questions

3. Use the diagram below to answer the question that

follows.

B

120?

A

The circle above has a circumference of 24 cm. What is the

length of arc AB?

A. 4 cm

B. 6 cm

C. 8 cm

D. 12 cm

4. Use the diagram below to answer the question that

follows.

D6 C

3 3

A 6B

Which of the following statements about ABCD must be true?

A. AmB is perpendicular to BmC.

B. mABC is equal to mBCD.

C. AmC is equal in length to BmD.

D. AmD is parallel to BmC.

Georgia Assessments for the Certification of Educators

Basic Skills Preparation Guide 3-3

Copyright ? 2006 by National Evaluation Systems, Inc. (NES?)

Section 3: Test II (Mathematics) Sample Questions

5. Use the diagram below to answer the question that

follows.

12

3

Each section of the above spinner is equal in area. If the

spinner is spun twice, what is the probability of getting a 2

on the first spin and a 3 on the second spin?

A. 1

9

B. 1

3

C. 5

9

D. 2

3

Georgia Assessments for the Certification of Educators

3-4 Basic Skills Preparation Guide

Copyright ? 2006 by National Evaluation Systems, Inc. (NES?)

Section 3: Test II (Mathematics) Sample Questions

6. A company that produces air conditioners wants to determine

how much energy their air conditioner uses. They have

decided to select and test 50 units for energy use. Which of

the following is likely to be the most statistically valid way of

selecting the machines for the study?

A. have manufacturing managers select the 50 machines

B. randomly select the 50 machines

C. test each machine prior to selecting it for the study

D. identify which machines to test at the start of the

production process

7. Use the information below to answer the question that

follows.

Problem

A room contains N people. Each person shakes hands

with everyone else in the room exactly once. How many

handshakes occur?

Solution

Step 1. Multiply N by itself.

Step 2. Subtract N from the result from step 1.

Step 3. Divide the result from step 2 by 2.

Using the above procedure, find the number of handshakes

that occur if the room contains 10 people.

A. 45

B. 50

C. 90

D. 100

Georgia Assessments for the Certification of Educators

Basic Skills Preparation Guide 3-5

Copyright ? 2006 by National Evaluation Systems, Inc. (NES?)

Section 3: Test II (Mathematics) Sample Questions

8. Use the diagram below to answer the question that

follows.

h

B

w

What is the surface area of the rectangular solid shown above

if w = 2 units, h = 3 units, and B = 4 units?

A. 36 units2

B. 40 units2

C. 42 units2

D. 52 units2

Georgia Assessments for the Certification of Educators

3-6 Basic Skills Preparation Guide

Copyright ? 2006 by National Evaluation Systems, Inc. (NES?)

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