Washington Office of Superintendent of Public Instruction (OSPI) January 2015

Mathematics End-of-Course Exit Exam

Sample Booklet

Paper-Pencil Format Student Version

Sample Booklet, Student Version, End-of-Course Exit Exam

2 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

Sample D – Short Response:

Draw a point on the number line

where the number 2

3 is located.

This booklet contains several different types of problems as shown below. Each sample shows what a certain type of problem looks like. Respond to

each problem in this test booklet. Let’s practice!

Sample A – Multiple Choice:

Exactly how many sides does an octagon have?

5

6

7

8

Sample B – Multiple-select Response:

Select all values of w that are solutions to w > 7.

2

4

6

8

9

Sample C – Matching Response:

Decide whether each equation is true. Select Yes or No for each equation.

Yes No

a. 6w + w = 7w

b. 15(2) = 30

c. 4.5 ÷ 1 = 3.5

Sample E – Gridded Response

Enter the sum: 2

5 +

4

5 = ____

Sample Booklet, Student Version, End-of-Course Exit Exam

3 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

Sample Booklet, Student Version, End-of-Course Exit Exam

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This page shows how the sample problems on page 2 should be

completed.

6 / 5

Sample Booklet, Student Version, End-of-Course Exit Exam

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Mathematics EOC Exit Exam Sample Booklet

Sample Booklet, Student Version, End-of-Course Exit Exam

6 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

Read each problem carefully and follow the directions. You may do

your work in this booklet. Mark your answers in this booklet.

1. Approximately 57.5 10 gallons of water flow over a waterfall each

second. There are 48.6 10 seconds in 1 day. Select the approximate

number of gallons of water that flow over the waterfall in 1 day.

216.45 10

206.45 10

106.45 10

96.45 10

2. Consider this equation.

c = ax – bx

Joseph claims that if a, b, and c are non-negative integers, then the equation has exactly one solution for x.

Select all cases that show Joseph’s claim is incorrect.

a – b = 1, c = 0

a = b, c ≠ 0

a = b, c = 0

a – b = 1, c ≠ 1

a ≠ b, c = 0

Sample Booklet, Student Version, End-of-Course Exit Exam

7 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

3. For each number, indicate whether it is rational or irrational.

Rational Irrational

a. 4

7

b. 30

c. 21

4

d.

e. –27

4. Determine whether each statement is true for all cases, true for some

cases, or not true for any case.

All Some Not True

Cases Cases

a. Two vertical angles form a linear pair.

b. If two angles are supplementary and congruent, then they are right angles.

c. The sum of two adjacent angles is 90°.

Sample Booklet, Student Version, End-of-Course Exit Exam

8 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

5. What is the value of p when the expression 5 1

6 3 n is equivalent to

p(5 – 2n)?

Sample Booklet, Student Version, End-of-Course Exit Exam

9 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

6. The points show different locations in Joe’s town. Each unit represents 1 mile.

Enter the shortest distance, in miles, between Joe’s home and the park in the grid on the left. Round your answer to the nearest tenth.

Enter the shortest distance, in miles, between Joe’s home and the

school in the grid on the right. Round your answer to the nearest tenth.

Sample Booklet, Student Version, End-of-Course Exit Exam

10 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

7. Consider this graph of a line.

Write an equation for the line.

8. Solve the following equation for n.

18n2 – 50 = 0

Write one solution in each box below.

Sample Booklet, Student Version, End-of-Course Exit Exam

11 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

9. All students at a school answered Yes or No to the two survey

questions shown.

Do you have a cell phone? Yes No

Do you have an MP3 player? Yes No

The same students responded to both questions. Complete the two-way

frequency table to show the correct totals for the given data.

MP3 Player No MP3 Player Total

Cell Phone 57 122

No Cell Phone 30 65

Total

10. Coffee costs $2.00 per pound at a coffee shop.

Draw a ray that shows the proportional relationship between the number of pounds of coffee purchased and the total cost.

Sample Booklet, Student Version, End-of-Course Exit Exam

12 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

11. Two figures are shown on the coordinate grid.

A group of students is debating whether the figures are congruent or

similar. They know that two figures can be proved either congruent or similar by the transformations used to map one figure onto the other.

Show that Figure A and Figure B are either congruent or similar by

describing a sequence of transformations that maps Figure A onto Figure B.

In your response

be sure to identify the transformations in the order they are

performed.

state whether figure A and figure B are congruent or similar.

Sample Booklet, Student Version, End-of-Course Exit Exam

13 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

Sample Booklet, Student Version, End-of-Course Exit Exam

14 Washington Office of Superintendent of Public Instruction (OSPI) March 2015

12. The radius of sphere Y is twice the radius of sphere X. A student claims

that the volume of sphere Y must be exactly twice the volume of sphere X.

Part A:

Enter numbers into the boxes to create one example to evaluate the

student’s claim.

Sphere X Sphere Y

Radius = in Radius = in

Volume = 4

3 in3 Volume =

4

3 in3

Part B:

Decide whether the student’s claim is true, false, or cannot be determined. Select the correct option.

True

False

Cannot be determined