# Elementary Education K– to 6

## Subtest 4 – Mathematics

### Test Format and Sample Questions

The Mathematics subtest contains approximately 50 multiple-choice items. You will have 70 minutes to complete the subtest.

Each of the questions will contain four response options. You will choose the best response out of the available options, and indicate A, B, C, or D. For the Mathematics Subtest, an on-screen mathematics reference sheet will be provided.

The table below presents types of questions on the exam and directs you to examples of these formats among the sample items that follow.

#### Table of Question Formats

Type of Question Sample Question
Direct Question
Choose the response option that best answers the question.
Question 1
Word Problem
Apply mathematical principles to solve a real-world problem and choose the best response option.
Question 3
Graphics
Choose the option that best answers a question involving a number line, a geometric figure, graphs of lines or curves, a table, or a chart.
Question 4

#### Sample Questions

The following questions represent both the form and content of questions on the examination. These questions will acquaint you with the general format of the examination; however, these sample questions do not cover all of the competencies and skills that are tested and will only approximate the degree of examination difficulty.

Question 1

## Subtest 4 - Mathematics

### Competency 1—Knowledge of student thinking and instructional practices

DIRECTIONS: Read the question and select the best response.

Which of the following sequences is the most appropriate learning progression through the levels of geometric thinking?

Correct Response: D.

Question 2

## Subtest 4 - Mathematics

### Competency 1—Knowledge of student thinking and instructional practices

DIRECTIONS: Read the question and select the best response.

A local school district requires all fifth graders to complete an untimed test containing 50 multiple choice mathematics problems. The tests are scored and the results are compared throughout the district. What component of mathematics fluency is most likely the goal of this type of assessment?

Correct Response: D.

Question 3

## Subtest 4 - Mathematics

### Competency 3—Knowledge of fractions, ratios, and integers

DIRECTIONS: Read the question and select the best response.

A group of students are working on a project. They complete 30percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project?

Correct Response: C.

Question 4

## Subtest 4 - Mathematics

### Competency 2—Knowledge of operations, algebraic thinking, counting and number in base ten

DIRECTIONS: Read the question and select the best response.

A student was responsible for taking care of a plant over a 3 month period. The student measured and recorded the height of the plant at the end of each month as shown in the table.

Number of Months with the Plant Height of the Plant in Inches
0 7
1 9
2 11
3 13

Which of the following equations relates the height of the plant, h, and the number of months, m, that the student had taken care of the plant, assuming a constant rate of growth?

Correct Response: D.

Question 5

## Subtest 4 - Mathematics

### Competency 2—Knowledge of operations, algebraic thinking, counting and number in base ten

DIRECTIONS: Read the question and select the best response.

Simplify the expression.

90 minus 60 divided by 30 plus 10

Correct Response: D.

Question 6

## Subtest 4 - Mathematics

### Competency 4—Knowledge of measurement, data, and statistics

DIRECTIONS: Read the question and select the best response.

The following circle graph shows the results of a survey of 150 students. How many students chose baseball as their favorite sport?

Favorite Sport A circle graph has four sections. Baseball is 20 percent of the chart. Football is 32 percent of the chart. Basketball is 8 percent of the chart and finally soccer is 40 percent of the chart.

Correct Response: C.

Question 7

## Subtest 4 - Mathematics

### Competency 5—Knowledge of geometric concepts

DIRECTIONS: Read the question and select the best response.

Which of the following polygons can be classified as regular?