Mathematics TExES Practice Exam

Mrs. Ramirez's students are creating polygons using five ice pops that are all the same size; however, students do not have to use all of the ice pops. Students also need to include acute and obtuse angles in their shapes. Which of the following is a polygon the students could create?

Rhombus

A local Brownie troop uses the model y=2x−25 to calculate the money earned in a bake sale, where x is the number of cookies sold. If the troop sold 75 cookies, how much money did the troop earn?

$125

Which of the following numbers cannot be used to express probability?

-0.004

What is the square root of 144?

-12

Perform the indicated operation: (-36) - 11.

-47

For what value of x is the expression 5/x undefined?

0

Jamie rolls a pair of 6-sided dice hoping to get an odd number. What is the probability that the sum of the dice will show an odd number?

0.5

Two fair two-sided coins are tossed at the same time. What is the probability that only one head is obtained in each of the tosses?

0.5

A pair of 6-sided dice is rolled. What is the probability the sum of the dice is less than 13?

1

Solve the following problem. Express the answer as a mixed number. 1.6−3/8=

1 9/40

Multiply 3/4 by 2/3. Show your answer in simplified form.

1/2

What is the likelihood of rolling a single 6-sided die 3 times and obtaining a 6 each time?

1/216

Two paper bags are each filled with four blue marbles and four red marbles. What is the probability of selecting a blue marble from the first bag and a blue marble from the second bag?

1/4

Divide 6.2 by 0.05.

124

Simplify: 6⋅2+3÷3

13

What is the range of the following data set? 4, 12, 3, 15, 8, 3, 9, 9, 8, 10, 12, 14, 3, 2.

13

If the number 132/7 is desired to be represented as a mixed number, what would the mixed number look like?

18 6/7

Stacy went to the store to purchase a loaf of bread. She originally thought she had only $9.55 in nickels in her purse. She then discovered she had 10 extra nickels in her pocket. How many nickels did she originally have in her purse?

191

In January, Ken paid $45 for his electric bill. In February, he paid $67 and in March he paid $89. If the trend continues, how much will Ken pay for his electric bill in August?

199

How many lines of symmetry do all non-square rectangles have?

2

Look at the following number: 1,015.82353276. What is the number in the hundredths place?

2

Which of the following is not a natural number ?

2-Jan

Which of the following numerals is the smallest?

2/5

If a can weighs 14 oz., how many cans would you need to have a ton? (Round your answer to the nearest ones place and pick the best answer.)

2286

There are 16 more apples than oranges in a basket of 62 apples and oranges. How many oranges are in the basket?

23

Ben started working recently and received his first paycheck. He is attempting to decide on whether or not he should open a checking account or a savings account. The checking account offers a yearly interest payment of $50 for every $100 in the account above $5,000 at the end of the year. The savings account offers a yearly interest payment of 4% of the total in the account at the end of the year. If Ben is going to have $6,000 in the account at the end of this year, how much interest would he earn if he chooses the savings account?

240

Anthony and Angela had 2 wooden fence posts and 2 fence panels break at their home. They went to their local hardware store to buy the material to repair the fence. They saw that there were pre-fabricated fence panels on sale for $44.99 per panel. Each panel was 8' x 6' and consisted of 3 pieces of 2" x 3" and enough slats to cover the entire width of the panel, exactly what they needed. They decided to see if it would be cheaper to build their own fence panel. They needed 3 pieces of 2" x 3" wood for the panel as well as the wooden slats to create the fence. If each piece of 2" x 3" is 8' long and each wooden slat is 3.5" wide and costs $1.49, how many slats are needed to make a single fence panel? (Round your answer.)

28

What is the mode of the following data set? 4, 12, 3, 15, 8, 3, 9, 9, 8, 10, 12, 14, 3, 2.

3

Mike Trout had a batting average of approximately .300 during the 2014 baseball season. During a 25 game span during the season he ends up having 100 official at-bats. How many hits would you expect Mike Trout to get during this 25 game stretch?

30

What is the next number in the following sequence? 1, 1, 2, 3, 5, 8, 13, 21...

34

The main advantage of using hands-on activities in mathematics is to

lead the students to active learning and guide them to construct their own knowledge.

Jan likes to eat meat, vegetables and a starch with all of her meals. For her meat she likes beef, chicken and fish. Her vegetables of choice are broccoli, squash, okra and carrots. The starches she eats are rice, potatoes and bread. If she only has 1 meat, 1 vegetable and 1 starch for each meal, how many different meal combinations can she make?

36

Which of the following is an expression that represents the following statement: three times one-half of a number less eighty percent?

3×x/2−0.8

In Mr. Davis's 3rd grade classroom there are 12 boys and 15 girls. In Mr. Davis's 4th grade classroom the ratio of boys to girls is the same as in his 3rd grade class, but the number of students is three times smaller. How many boys are in Mr. Davis's 4th grade classroom?

4

Mrs. Cameron plans to buy carpeting for her living room floor. The room is a rectangle measuring 14 feet by 20 feet. She wants no carpet seams on her floor even if that means that some carpeting will go to waste. The carpeting she wants comes in 16-foot-wide rolls. What is the minimum amount of carpeting that will have to be wasted if Mrs. Cameron insists upon her no-seams requirement?

40 ft^2

Crystal needs to buy bread for her party. She knows that one loaf will feed 8 people, and there are 371 people coming to her party. How many loaves of bread does she need to buy?

47

What is another way to write 4×4×4?

4^3

Which of these sets of numbers represents a true statement?

5 < 7

Jane rolls a 6-sided die 100 times. Each time she rolls an even number she places a blue chip in Basket A. Every time she rolls an odd number she places a red chip in Basket B. What are the expected number of chips in Basket A and Basket B after the 100th roll?

50

Ben started working recently and received his first paycheck. He is attempting to decide on whether or not he should open a checking account or a savings account. The checking account offers a yearly interest payment of $50 for every $100 in the account above $5,000 at the end of the year. The savings account offers a yearly interest payment of 4% of the total in the account at the end of the year. If Ben is going to have $6,000 in the account at the end of this year, how much interest would he earn if chooses the checking account?

500

John makes $5,000 per month after taxes. His monthly rent is $1,200, his car payment is $600, his utilities are $500, his student loan payments are $1,400, and his food bill is $400. If John wants to put 10% of his money into a savings account each month, how much will John put into savings each month?

500

Four bottles of the same brand of dish detergent are offered for sale as follows: 32.4 fluid ounces for $3.97; 56 fluid ounces for $5.97; 16.2 fluid ounces for $2.87; and one containing 73.8 fluid ounces for $8.37. Which bottle size would save the most money per ounce?

56 fl. oz.

Valerie has a bathtub that she needs to fill with water. To fill the tub, she first needs to fill a bucket with water and then dump this into the bathtub. If the bucket is a cylinder with a radius of 6 in. and a height of 12 in., how many buckets will it take to fill the 5 ft. x 3 ft. x 3 ft. tub?

57 buckets

How many faces does a cube have?

6

Which of the following sets of numbers is not an integer followed by its square?

6, 32

A card is drawn from a standard deck of cards. What is the probability that the card is a queen or black four?

6/52

Which of the following is equivalent to 17(64+8^2)−43?

64×33

An example of a prime number is

67

Kelly decided she wanted a vegetable garden in her backyard. She built a 4' x 4' x 1' box to plant the vegetables. She then needed to figure out how many bags of dirt to buy in order to fill the planter box to the top. If a single bag contains 2.5 ft.^3 of dirt, how many bags will she need to fill the box?

7

What is the mean of the following data set? 4, 12, 3, 15, 8, 3, 9, 9, 8, 10, 12, 14, 3, 2.

8

What is the median of the following data set? 4, 12, 3, 15, 8, 3, 9, 9, 8, 10, 12, 14, 3, 2.

8.5

What number should come next in the following sequence? 1, 7, 19, 37, 61...

91

What is an algorithm?

A step-by-step procedure for solving problems

Which of these numbers or number representations are irrational numbers? Select all that apply.

A. π B. √2 C. e≈2.71828182845...

Which group is generally given credit for integrating the concept of zero into the current system of enumeration used throughout the world?

Arabs

Mickey Sanders, a fifth grade student, attempted to solve a multi-step mathematical problem but he missed the answer. The answer was supposed to be $2,502, and he arrived at a totally different number. The teacher asked him to review the problem, but he still could not find the reason why he missed the answer. He insisted that his answer is right, and some of the other students seem to be in agreement with him. What might be the next step for the teacher?

Ask Mickey to explain the process he followed to solve the problem.

In the early grades, mathematic and spatial reasoning are introduced in learning centers through the use of manipulatives. What is the main advantage of using learning centers to introduce mathematics and spatial reasoning?

Children explore and learn reasoning skills indirectly using concrete objects in informal settings.

What measurement principle do children in Pre-K through kindergarten sometimes have difficulty with?

Conservation

Word problem: Tripti has 10 apples and 20 oranges. Tripti's mother doubles the total number of apples and oranges she has. Meanwhile, Gahn's mother gives Gahn twice as many apples and twice as many oranges as Tripti started with. A teacher creates the word problem shown above for a math lesson. Based on the word problem, the lesson will most likely cover which of the following mathematical properties?

Distributive property

Which of the following were the first mathematicians to impact the development of modern-day mathematics?

Egyptians and Babylonians

What is the formula for the relationship between the number of faces, vertices, and edges of a cube?

F+V=E+2

In Ms. Leal's class, there are 18 blondes, 17 brunettes, and 5 redheads. Rodrigo is asked to determine the probability of Ms. Leal randomly selecting a redhead from her class to answer a question. His answer is 8. Which of the following best describes how Rodrigo went wrong in finding the solution?

He divided 40 by 5.

An isosceles triangle is a polygon with two equal sides. What else does this imply?

It has two equal angles.

Which of the following is not a critical step to take when solving a problem?

Make a diagram of the problem situation.

Which of the following statements best represents the value of manipulatives as part of an instructional strategy?

Manipulatives can be used to teach mathematics in grades Pre-K to high school.

The concept of the zero evolved in India but was also developed, disconnectedly, by the

Mayans

Which of the following would be the best set of units to use when measuring a football field?

Meters

In the problem, 5+6×3/2, what is the first operation which should be performed according to the order of operations?

Multiply

You and your family go out to dinner one night. At the end of the meal you receive a bill for the meal. The total bill, before tax, is $78.60. Assuming tax for the meal is 5%, what would you need to do first in order to find out the amount of tax you need to pay?

Multiply the total by 0.05

Mr. Ponce created a lesson incorporating a role-playing game during his volume lesson. Tonatiuh and Armando were each creating a house for their characters to live in. Tonatiuh's home has a length of 20 units, a width of 52 units, and a height of 6 units. Armando's home has a length of 30 units, a width of 49 units, and a height of 5 units. Tonatiuh teased his friend by telling him his house had a greater volume. Is Tonatiuh correct?

No, because Tonatiuh's volume is 6,240 and Armando's volume is 7,350

Equity is one of the six principles of mathematics. Identify the statements that best describe this principle.

Provide individual students the support needed to be successful in class.

Carlos wants to bring cookies for each student in his entire elementary school. He knows there are 800 students in the school. His teacher asks him to make sure he buys enough bags to carry all of the cookies, assuming each bag can hold 38 cookies. Carlos goes to the store and buys 20 bags, then brings the cookies to school the next day. He finds out that he doesn't have enough cookies for all the students at the school. Which of the following is Carlos most likely to have done to obtain the incorrect number of bags?

Rounded 38 to 40

Mr. Anderson tells his class that in a two-week period (including weekends and holidays), Max spends $71.47 on lunch. Two students in Mr. Anderson's class, Dave and John, are asked to state the approximate average value Max spends on lunch over this time. Dave says Max spent $4.50 on average per day. John says Max spent $5 on average. What concept needs to be addressed further in Mr. Anderson's class?

Rounding

Adera, an advanced English learner from Ethiopia, just learned the meaning of the following mathematic concepts: even, faces, plane, right, and volume. She was excited that she finally was able to understand those concepts. However, she became very confused while in reading class because the teacher asked her to interpret the following excerpt: "Juliet was very happy listening to music in her room. Right after finishing her first song, her brother opened the door and demanded she lower the volume of the stereo. Her face changed from happy to sad almost immediately. Her brother looked mean, and even shouted when she politely said, yes Brother." What made this excerpt difficult to understand?

She had problems with the concepts of homographs and homophones.

A four-year-old child has mastered counting to 10 using blocks. One day, the teacher decided to challenge the child and gave him 10 blocks of two different colors, and asked the child to count to ten again. At the end, the teacher asked the child, how many blocks do you have? How many are blue and how many are red? The child responded by counting the blocks again. What developmental issue is the child lacking?

The ability to understand that numbers stand for a given quantity

The United States is probably the only industrialized country in the world that uses the English system of measurement in daily life. What is the rationale for using the metric system in scientific research and engineering?

The metric system is more precise than the English system.

While students in a sixth-grade class work in small groups on an ungraded discovery activity involving linear functions, the teacher circulates through the class asking individual students questions such as, "Why did you choose to assign the height variable to the vertical axis?" and "What happens to the graph if you use different-sized cups for the experiment?" Based on the scenario, which of the following is a primary purpose of these questions?

To gauge student progress in developing conceptual understanding in a way that will not penalize the student.

Mr. Johnson guides children to notice the shapes and characteristics of the objects in the classroom and the physical features of the classroom. Students began noticing the angles and shapes of the desks, the writing board, the corners of the classroom and the tiles on the floor. What was the main purpose of this kind of activity?

To make students aware of the concepts in geometry and how it impacts our lives.

Mr. Holland's 4th grade class is collecting money for charity. Raquel states she will donate 3 dollars for every dollar that Carlos donates. If Raquel and Carlos donate a combined total of 60 dollars, what could Mr. Holland's class do to determine how much Raquel and Carlos donated individually? Select the best choice.

Write an equation

The main value of using real-life situations to teach problem-solving skills involving mathematics is that the children in grades K-6 can see

the value of mathematics in solving daily situations.