Deck 30: Praxis Core Math

Question 1

94% of Jim's income last year came from his salary. The rest came from awards his prize winning poodle won in dog shows. If he won $9,600 in dog shows, what was his total income?

A)$145,000
B)$160,000
C)$170,000
D)$120,000
E)$118,600

Answer 1

$160,000

Question 2

Which of the following is a prime number?

A)50
B)25
C)23
D)6

Answer 2

23

Question 3

1% is equal to 100 basis point. 44.5 percent is how many basis points greater than 34.5 percent?

A).1
B)10
C)100
D)1,000
E)10,000

Answer 3

1,000

Question 4

What part of a poll or survey is considered the 'sample'?

A)The sum total of responses collected through the poll or survey
B)The group of people participating in the survey or poll who represent a larger population
C)The larger population the poll or survey is attempting to understand
D)The questions the participants are asked

Question 5

What are the two primary categories of fractions?

A)True fractions and mixed fractions
B)Geometric fractions and algebraic fractions
C)Common fractions and uncommon fractions
D)Decimal fractions and common fractions

Question 6

Olivia is writing a recipe for orange-colored fruit salad. She uses 4 apricots for every cantaloupe, 2 peaches for every apricot, and one orange for every cantaloupe. If she uses 8 oranges, how many whole pieces of fruit total will be used for the fruit salad?

A)212
B)232
C)112
D)132

Question 7

What is 1 ½ as a simple fraction in lowest terms?

A)1/2
B)2/3
C)3/2
D)1)5

Question 8

Every five minutes a baby is born in the Nigindia. How many babies are born in a year?

A)150,120
B)105,120
C)100,510
D)300,450
E)103,555

Question 9

The population of the town of Homeville increased by approximately 0.5% last year. If the population at the beginning of the year was 2,460, what was the approximate population by the end of the year?

A)2,472
B)2,960
C)2,465
D)2,465.
E)2,510

Question 10

A: {3, 6, 7} B: {2, 8}
What is the union of Set A and Set B?

A){2, 3, 6, 7, 8}
B){3, 6, 7}
C){2, 8}
D)None of the above

Question 11

What is 2/9?

A).17
B).19
C).1818
D).2222
E).235

Question 12

In initial production of a new video game, it is discovered that the ratio of functional games to defective games is 20 to 1. If 360 games are produced, how many could be expected to be defective?

A)12 games
B)15 games
C)16 games
D)18 games
E)20 games

Question 13

Andrew invested $960 in a new mutual fund. The shares in this fund were purchased at $6.00 each. How many shares did he buy?

A)120 shares
B)140 shares
C)150 shares
D)160 shares
E)172 shares

Question 14

Dottie's Chocolates produces boxes of 25 chocolate drops for selling. How many chocolate drops would Dottie need to make to fill 60 boxes?

A)1,575
B)1,225
C)1,400
D)1,500
E)1,525

Question 15

Shane's Softball Production Company can produce 12 softballs in an hour. How many softballs can they produce in 14 hours?

A)154
B)160
C)168
D)172
E)188

Question 16

Roger buys a 35 x 35 foot lot to source rocks for his pet rock project. How many square feet did he buy?

A)1,325
B)1,225
C)1,275
D)905
E)1,185

Question 17

A group interested in the result of an upcoming ballot initiative about the public school system is conducting a poll to find the likely outcome. They randomly select registered voters with school-age children from the voting population. The first question in the poll ascertains whether or not the participant is a likely voter and only those people who plan to vote are asked to complete the poll. What is the flaw in this sample?

A)Using random selection
B)There is no flaw.
C)Voter registration status
D)Parental status

Question 18

The United States budget is about $3.8 trillion and foreign aid comprises 1% of the budget. If African countries receive a combined 20% of the United States' foreign aid, how much money is sent to the continent?

A)$7.6 billion
B)$76 billion
C)$76 million
D)$7.6 million

Question 19

A group interested in the result of an upcoming gubernatorial election is conducting a poll to find the likely result. They randomly select citizens over the age of 18 to poll. Each participant is asked two multiple-choice questions: which candidate they prefer and which attribute of the candidate or their platform compelled their choice. What is the flaw in this poll?

A)Not assessing voter status
B)There is no flaw.
C)Using multiple-choice questions
D)Using a random sample

Question 20

The division of your company that you oversee contains 18 employees whose total salary last year was $855,000. The average salary of all company employees with the same level of responsibility and qualifications is $50,000. Is your department above or below the company average?

A)Below by 20%
B)Above by 10%
C)Below by 5%
D)Above by 15%

Question 21

If two cities are 500 miles apart, approximately how many kilometers apart are they?

A)295 km
B)375 km
C)805 km
D)695 km

Question 22

If Jack invests $2,500 for one year and his investment is worth $2,825 at the end of that period, how much interest did he earn on his investment?

A)11%
B)12%
C)13%
D)15%

Question 23

Every U.S. dollar spent on foreign aid buys five gallons of clean water to distribute to people in need. Out of every five gallons of clean water intended for people in need, two gallons are lost due to environmental factors, transportation problems and conflict. If the United States spends $12 million on foreign aid in one year, how much of that money would actually make it to the people in need if spent on water?

A)$7.2 million
B)$6.5 million
C)$7 million
D)$8 million

Question 24

If Martin invests $20,000 for 20 years and his investment earns 20% interest compounding quarterly, what will it be worth at the end of his investment period?

A)$991,228.82
B)$120,000.00
C)$244,529.20
D)$424,872.36

Question 25

What is the mean for the following expenditures? $79.84, $278.99, $342.16, $466.25, $111.39, $502.47, $98.12

A)$278.99
B)$268.46
C)$354.22
D)$317.54

Question 26

Which type of chart or graph would be the best graphic organizer to demonstrate the relationship between foreign aid to a nation and the decrease in child mortality rates among its citizens?

A)Bar graph
B)Line graph
C)Pie chart
D)Histogram

Question 27

What is the median for the numbers 89, 87, 94, 82, 89, 91, 95, 88, 90, 87, 92 and 93?

A)87 and 89
B)89.5
C)93
D)89.75

Question 28

All data can be divided into four equal sections that are called:

A)Quartiles
B)Quagmires
C)Quadrants
D)Quarternaries

Question 29

To analyze the effect of a federal stimulus package, researchers are going to compare it against consumer spending for one year, beginning six months before the stimulus took effect and ending six months after it took effect. The researchers are looking to see if the stimulus caused notable jumps in spending. What is one possible lurking variable for which the researchers must account in order to analyze the data correctly?

A)How popular the stimulus was
B)The most noteworthy consumer products during that time
C)Holiday spending
D)Which parties control the executive and legislative branches

Question 30

If two cities are 1,846 kilometers apart, approximately how many miles apart are they?

A)2,765 miles
B)1,457 miles
C)2,369 miles
D)1,147 miles

Question 31

What is the median for the following set of numbers? $3.27, $9.42, $6.15, $5.25, $7.62, $4.86, $2.94, $1.16

A)$4.07
B)$5.06
C)$5.45
D)$5.70

Question 32

Which of the following is a digit?

A)10
B)0)5
C)-7
D)0

Question 33

What kind of triangle has 1 angle that is 90°?

A)A right triangle
B)An acute triangle
C)An obtuse triangle
D)A scalene triangle

Question 34

Identify the pattern in the following set of numbers:
2, 5, 8, 11, 14, 17

A)There is no pattern.
B)The set starts with 2 and ends in 17.
C)The set starts with 2 and jumps 3 each time.
D)The set starts with 2 and jumps 2 each time.

Question 35

What percentage is ¼?

A)20%
B)25%
C)50%
D)4%

Question 36

A box of candy contains 11 pieces of gummy candy, 13 pieces of gum, 8 truffles, and 9 mints. Sue randomly grabs a piece of gum from the bag. What is the probability that the next piece of candy taken will be a piece of gum or a piece of gummy candy?

A)1/2
B)12/21
C)50/50
D)23/40

Question 37

Find the mean of the following set of numbers:
13, 9, 24, 3, 13, 8, 32, 13, 3, 2

A)13
B)120
C)10
D)12

Question 38

The number ½ is a __________.

A)Whole number
B)Rational number
C)Decimal
D)Percentage

Question 39

What is the term for the distance around a circle?

A)Radius
B)Circumference
C)Area
D)3)14

Question 40

What is the perimeter of an equilateral triangle with one of the sides measuring 5 cm?

A)15 cm
B)25 cm
C)10 cm
D)50 cm

Question 41

Solve for x:
3/9 = x/3

A)x = 3
B)x = 1
C)x = 9
D)x = 12

Question 42

What is the greatest common factor of 30 and 60?

A)30
B)60
C)90
D)10

Question 43

Solve the following equation:
1 3/8 ÷ 2/3 =

A)1/3
B)1 1/3
C)33/16
D)1 5/8

Question 44

Round 6148.11385 to the nearest thousandths place. What is the answer?

A)6000
B)6148
C)6148.113
D)6148.114

Question 45

Simplify the following expression:
4(4x - 8x + 5)

A)16x +20
B)16x - 20
C) -16x + 20
D)-16x - 20

Question 46

Using data to predict what might occur in the future, beyond what the data set has explicitly demonstrated, is called:

A)Variable anticipation
B)The futures market
C)Predicate analysis
D)Extrapolation

Question 47

Verna's Canned Vegetables, Inc. wants the color of each can of vegetables to be blue, including the bottom and the top. If the diameter of the lid (l) is 5 cm, and the height of the can (h) is 9 cm, what is the approximate total surface area for each can that needs to be colored blue?

A)166.8 cm²
B)166.8 cm³
C)180.6 cm²
D)180.6 cm³

Question 48

Which of the following is a composite number?

A)14
B)31
C)7
D)11

Question 49

Round 567.342 to the nearest hundredth. What is the answer?

A)600
B)560
C)567.34
D)567.3

Question 50

What is the mean for the following distances? 206 miles, 410 miles, 97 miles, 125 miles, 999 miles, 234 miles

A)220 miles
B)407.88 miles
C)345.17 miles
D)206 miles

Question 51

Mary has 2 quarts of ice cream. She shares a half of a quart with her friend, Bill. How many pints does she have left?

A)1
B)2
C)3
D)4

Question 52

Solve: 5²

A)625
B)10
C)25
D)125

Question 53

What is the outlier in the following set: 11, 22, 33, 44, 55, 112, 23, 34 and 45?

A)55
B)11
C)112
D)There is no outlier.

Question 54

What is the reciprocal of 1/6?

A)6/1
B).16666
C)1.6
D)1.6666

Question 55

A radius of a circle is 3 cm. What is its area?

A)3)14 cm2
B)28.26 cm2
C)282.6 cm2
D)2)826 cm2

Question 56

What is the name for a half of a circle?

A)Semicircle
B)Quadrant
C)Radius
D)Diameter

Question 57

Simplify 3(2x² -1)

A)5x² -3
B)6x² -3
C)3(x² - 3)
D)6x² - 1

Question 58

How many feet are in 7 yards?

A)7
B)3
C)21
D)14

Question 59

How many feet are in a mile?

A)6,280
B)5,280
C)528
D)None of the above

Question 60

According to the chart, how many more boxes of cookies did Billy sell than Tim?

A)8
B)4
C)6
D)2