PRAXIS 5005 Elementary Ed: Mathematics

Question 1

PRAXIS 5005 Elementary Ed: Mathematics. What is the digit in the hundredths place in the number 0.1084?

• 0
• 1
• 4
• 8

Question 2

The circle graph from the Office of Management and Budget shows the spending by the federal government in 2002. According to the graph, for every $1,000 spent by the federal government in 2002, how much was spent on Social Security?

• $0.22
• $2.20
• $22.00
• $220.00

Question 3

Ms. Jones has a class of 27 students. She has 500 marbles in a jar and gives each student an equal number of marbles until she does not have enough marbles remaining in the jar to give another marble to every student. How many marbles remain in the jar after she has distributed the marbles?

Answer: 14

Question 4

The place value of the digit 4 in the numeral 14,578 is how many times its place value in the numeral 87,541?

• 1/100
• 1/10
• 10
• 100

Question 5

Ben took a 50-question test and answered 70 percent of the questions correctly. Which of the following expressions can be used to find the number of questions Ben answered correctly?

• (70 / 100) × 50
• 70 / 100
• (50 / 70) × 100
• 50 / 70

Question 6

To simplify the expression shown, the ______ property can be used and the simplified expression is ______.

Expression: 9(x+2)

• Property: Distributive
• Simplified Expression: 9x + 18

Question 7

Which of the following numbers is equivalent to 10−6?

• 10,000,000
• 1,000,000
• 0.000001
• 0.0000001

Question 8

For which of the following pairs of numbers do the two numbers in the pair have the same prime factors?

• 12 and 30
• 15 and 45
• 22 and 55
• 42 and 63

Question 9

Evaluate: 23−4×5+7

• -19
• -5
• 27
• 48

Question 10

A student attended school 175 days out of the 365 days last year. Which of the following is closest to the percent of all days last year that the student attended school?

• 30%
• 40%
• 50%
• 60%

Question 11

12+78

Select the interval on the number line that contains the result of the sum shown.

Answer: Between 1 and 1.5

Question 12

Leslie skydived out of an airplane with a parachute. After she opened the parachute, Leslie descended at a constant rate. During the first 34 seconds after she opened the parachute, she descended 714 feet. It took 1 minute and 25 seconds for Leslie to reach the ground after she opened the parachute. How far did Leslie descend to reach the ground after she opened the parachute?

• 1,270 feet
• 1,515 feet
• 1,785 feet
• 2,625 feet

Question 13

Which of the following numbers are equivalent to 0.375?

Select ALL that apply.

• 0.00375%
• 37.5%
• 3/8
• 12/32
• 375/100

Question 14

The specifications for a light display state that for every 10 red lights used in the display there are 7 blue lights used. Which of the following could be the total number of red and blue lights used in the light display?

• 255
• 262
• 270
• 289 (closest valid ratio is 289, but from given choices: 255 is correct)

Correct choice: 255

Question 15

5×103+6×101+3×100+2×102+1×101+8×102+4×103

What number has the expanded form shown?

Answer: 9,873

Question 16

1/3+4/3 divided by 2/3

What is the value of the expression shown?

• 10/9
• 11/9
• 7/3
• 5/2

Question 17

What is the value of the digit 5 in the number 4,517,296.08?

• 5 × 10⁵
• 5 × 10⁶
• 5 × 10⁷
• 5 × 10⁸

Question 18

12, 0.05, 15

For the preceding numbers, which of the following lists gives the numbers ordered from least to greatest?

• 12, 15, 0.05, 5
• 12, 0.05, 15, 5
• 0.05, 12, 15, 5
• 0.05,\ \frac{1}{5},\ \frac{1}{2},\ 5

Question 19

A high school schedules 288 students to take a math class during first period. If there are 12 math teachers, what is the student-to-teacher ratio for the math classes during first period?

• 12 to 1
• 24 to 1
• 36 to 1
• 48 to 1

Question 20

Garden snails can move as slowly as 110 of an inch per second and as quickly as 12 inch per second. For a snail that is continuously moving, which of these times would be reasonable as to the amount of time it would take a snail to travel 20 inches?

• 2 seconds
• 10 seconds
• 90 seconds
• 400 seconds

Question 21

Jamal is saving money for a trip. The table shows the total amount, in dollars, that Jamal has saved each week since receiving a gift of $200. If Jamal continues to save the same amount each week, after how many elapsed weeks will he have saved $320? PRAXIS 5005 Elementary Ed:Mathematics

• 10
• 12
• 22
• 27

Question 22

The first three terms of a pattern are shown. The numbers of squares in the pattern form a geometric sequence. How many squares are there in the fifth term of the sequence?

• 44
• 32
• 22
• 16

Question 23

The correspondence between degrees Celsius, C, and degrees Fahrenheit, F, is given by the formula F=95C+32.

What temperature, in degrees Fahrenheit, corresponds to 35 degrees Celsius?

Answer: 95°F

Question 24

−6p+5−(2p−3)

Which of the following is equivalent to the expression shown?

• –4p + 2
• –8p + 8
• –8p + 2
• –4p + 8

Question 25

In the United States House of Representatives, the population of a state, p, is used to calculate how many representatives, r, are from that state. Which of the following statements is true about the two variables p and r?

• p is an independent variable, and r is a dependent variable.
• p is a dependent variable, and r is an independent variable.
• Both p and r are independent variables.
• Both p and r are dependent variables.

Question 26

The preceding table shows selected values of points (x, y) that lie on a line in the xy-plane. Which of the following is an equation of the line?

• y = (1/2)x + 3
• y = (1/2)x + 6
• y = (-1/2)x – 3
• y = -2x – 6

Question 27

A floor with an area of 80 square feet can be covered exactly with S square tiles and R rectangular tiles. Each square tile has an area of 4 square feet, and each rectangular tile has an area of 5 square feet. The following equation relates the area of the floor to the number of square and rectangular tiles:

4S+5R=80

Which of the following combinations of square and rectangular tiles could be used to exactly cover the floor?

• 15 square tiles and 4 rectangular tiles
• 8 square tiles and 10 rectangular tiles
• 5 square tiles and 12 rectangular tiles

Question 28

The preceding table shows two simple-interest loans. The total interest paid for loan A is approximately how much greater than the total interest paid for loan B?

• $733
• $515
• $73
• $51

Question 29

Which of the following are algebraic expressions?

Select ALL that apply.

• 3x – 5
• 3x > 30
• -4x
• 2x – 5 = 27
• -3x + 81 = 23

Question 30

If m represents Mark’s age in years and m<18, then the mathematical expression 18−m2 represents which of the following?

• The difference between Mark’s age in years and that of a 9 year old
• Half of the age in years that Mark would be if he were nine years younger
• Half of the number of years Mark needs to wait until his eighteenth birthday
• The age in years that is exactly halfway between that of Mark and that of an 18 year old

Question 31

−x2+3x−4

What is the value of the expression shown when x=−3?

• -22
• -19
• -16 (closest to -22, but exact calculation gives -22)
• -4

Correct choice: -22

Question 32

8(x−5)−3(2x−4)

Which of the following expressions is equivalent to the preceding expression?

• 2(x + 14)
• 2(x + 26)
• 5(-x + 9)
• 5(3x + 1)

Question 33

7 more than a number x

Which of the following expressions represents the preceding phrase?

• x + 7
• x – 7
• 7x
• x / 7

Question 34

Which of the following graphs shows the solutions of −39=−16x+25?

Answer: x = 4 (graph with open circle at 4)

Question 35

Which of the following terms describes an angle that has a measure of 135 degrees?

• Straight
• Right
• Acute
• Obtuse

Question 37

The following points are graphed in the xy-plane and connected to form pentagon BCDEF.

B(-2, -3), C(-2, 2), D(0, 5), E(3, 2), F(3, -3)

What is the area, in square units, of the pentagon?

• 32.5
• 25
• 7.5
• 50

Question 38

The preceding table shows the size, in square feet, of homes in a neighborhood. Which of the following statistics is best to use to describe the center of the data?

• Mean
• Median
• Variance
• Range

Question 39

Which of the following graphs is best to use to display data over time?

• Bar graph
• Line graph
• Stem-and-leaf plot
• Box-and-whisker plot

Question 40

A container holding 6.75 liters of water is to be used to fill as many 225-milliliter plastic water bottles as possible. How many 225-milliliter bottles can be filled?

• 40
• 35
• 30
• 25

Question 41

The 50 students in Mr. Smith’s third-grade class were asked to pick one color as their favorite. The results from the survey are shown in the preceding pie chart. Which THREE of the following questions can be answered from the information shown in the chart?

• Which color is preferred the most?
• How many students preferred red?
• What sampling method was used to collect the data?
• What percent of the students chose purple as their favorite color? PRAXIS 5005 Elementary Ed:Mathematics
• How many more students chose green than chose blue?

Question 42

A rectangle has a width of 3 centimeters. If the length is increased by 6 centimeters, by how much will the area, in square centimeters, increase?

• 3
• 6
• 12 PRAXIS 5005 Elementary Ed:Mathematics
• 18

Question 43

96, 62, 80, 65, 62

What is the median of the list of integers shown?

• 65

Question 44

The net of a right pyramid with a square base is shown. The surface area is 90 square inches. The side of the square base is 6 inches. What is the area, in square inches, of each triangular face?

• 13.5
• 18
• 22.5
• 54

Question 45

In the coordinate plane shown, point $Q$ has coordinates $(3, 5)$. If point $Q$ is reflected over the $x$-axis to get point $R$, what is the $y$-coordinate of point $R$?

• -5

Question 46

Which of the following probabilities describes an event that is very likely, but not certain, to occur?

• 100%
• 97%
• 50%
• 5%

Question 47

Rectangle $ABCD$ is shown in the figure. If $ABCD$ is not a square, which of the following is a pair of perpendicular line segments?

• $\overline{AB}$ and $\overline{DC}$
• $\overline{AD}$ and $\overline{BD}$
• $\overline{AC}$ and $\overline{BD}$
• $\overline{AB}$ and $\overline{BC}$

Question 48

The scatterplot shows the weight and price for 17 different household products. Which TWO of the following statements are true?

• There is a positive linear relationship between weight and price.
• There are no outliers in the data.
• An increase in weight causes an increase in price.

Question 49

The scale of a map of the Earth reads 1 : 500,000. This means that 1 inch on the map is equivalent to 500,000 inches on the surface of the Earth. How many miles on the surface of the Earth, to the nearest thousandth, correspond to 2 inches on the map? Note: 1 mile = 1,760 yards

• 15.783 miles
• 189.394 miles
• 568.182 miles
• 1,000,000 miles

Question 50

There are 3 socks in Debra’s drawer, 2 black and 1 brown. If she randomly grabs 2 socks from the drawer without looking, what is the probability that they are the same color?

• 1/3
• 2/3
• 3/3
• 3/2