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WorksheetsGED® Mathematical Reasoning Test
Total questions: 166
Worksheet time: 12hrs 40mins
Which of the following is a rational number?
2
π
25
e
What is the median of the following set of numbers: 3, 7, 9, 13, 14?
7
9
11
13
Convert the fraction 6045 to its simplest form.
43
54
65
129
Find the mean of the following set of numbers: 4, 8, 12, 16, 20.
10
12
14
16
Simplify the expression: 49 .
7
−7
±7
49
If 5x+2=17 , what is the value of x ?
3
5
15
7
If a calculator pops up during my test, I am allowed to use it
(a)
Solve the following: 21+43=?
41
45
21
23
The shirt you want to buy is 15% off from $32.50. How much will your shirt be?
A. $27.63
B. $30.00
C. $17.50
D. $37.38
Solve: 5/8 – 1 /2
A. 1/4
B. 1/8
C. 1/2
D. 10/16
Using the graph below, calculate how much money you would earn per hour in 2016?(hint: y=mx+b)
A. 20/Hr
B. 16/Hr
C. 10/Hr
D. 22/Hr
Find the mean, median, mode, and range of the following set of numbers:10, 11, 11, 12, 13, 14, 17, 18, 20
Mean: 14, Median: 13, Mode: 11, Range: 10
Mean: 13, Median: 12, Mode: 11, Range: 10
Mean: 14, Median: 13, Mode: 09, Range: 10
Mean: 14, Median: 13, Mode: 11, Range: 05
Jack has twelve dollars in his pocket on Monday, three dollars on Tuesday, ten dollars on Wednesday, eight dollars on Thursday, and two dollars on Friday. What is the average amount of money Jack has in his pocket during the week?
A. $10.00
B. $35.00
C. $8.00
D. $7.00
Write the equation of the line that passes through (0, 4) and has a slope of 2.
Y= 2X+4
Y= 6X+9
Y= 2X+3
Y= 4X+5
Alice needs 36 inches of ribbon to complete her art project. At the store she buys four and a half feet of ribbon. How many inches of ribbon is Alice going to have to cut off?
(hint: There are 12 inches in one foot)
A. 36 inches
B. 24 inches
C. 18 inches
D. 5 inches
Bill gets a shipment of 4 crates with each crate holding 120 pounds of chicken. Bill paid a total of $1,920.00 for the chicken. What was the price per pound of chicken that Bill paid?
A. $1.60
B. $4.00
C. $10.00
D. $3.00
Video Warehouse has divided the surrounding community into 4 advertising zones. The graph shows the total number of customers from each zone for a three-week period. How many customers came from Zones 3 and 4?
between
900 - 1,000
between
1,000 - 1,100
between
1,100 - 1,200
between
1,200 - 1,300
.Approximately what is the ratio of customers from Zone 1 to customers from Zone 3?
3:5
3:2
2:1
1:2
A potter uses 53 of a pound of clay to make a bowl.
How many bowls could the potter make from 10 pounds of clay?
6
8
16
17
Natalie has recently been hired for the job of library assistant. The following graph shows what percent of her time will be spent on each of five tasks each day? The number that Natalie will spend working at the counter is about how many times the number of hours that she will spend processing new books and repairing bindings?
2
3
4
6
An accountant is going to pay the following four bills. The accountant will pay the bills in order from smallest to largest. In what order will he pay them?
W,X,Z,Y
X,W,Z,Y
Y,X,W,Z
Y,W,Z,X
A jar holds 16 ounces of honey. A cook is going to make two recipes. One of the recipes calls for 2.5 ounces of honey, and the other calls for 4.25 ounces of honey. After the cook has made those two recipes, how many ounces of honey will be left in the jar?
6.75
9.25
10.00
11.75
All numbers that are evenly divisible by both 6 and 14 are also divisible by which of the following numbers?
8
12
21
28
A computer monitor is regularly priced at $320. During a two-day sale, the price was decreased to $240. Which of the following is the percentage decrease of the monitor's price during the sale?
25%
33%
75%
80%
For a 10-day period, a bank kept track of the number of new accounts opened each day. The results are shown in the table. What is the median number of accounts opened per day during this 10-day period?
5
5.3
5.5
6
Trish likes to use two walking sticks when she goes hiking, but the two walking sticks she has been given recently are two different lengths (see picture). Trish wants to cut the longer stick to match the shorter one. How much should she cut from the longer stick so that the two walking sticks will be the same length?
43ft
53ft
103ft
41ft
Which of the following is the decimal point value of the dot on the number line?
3.25
3.50
3.75
4.00
Marla has a class of 35 students, and she tracked their performance on a recent math exam. The graph represents how their scores were distributed along the range of possible scores, from F to A. Based on the graph, which of the following is a true statement?
None of Marla's students received an F on the exam.
Most of Marla's students received either an A or a B on the exam.
If Marla gave the same exam again to another group of students, most of those students would receive a C.
More students received either an A or a B than received either a D or an F.
Juan is taking a computer software class to improve his job skills. His employer will pay for
the course if Juan’s average test grade in the class is 90% or higher. On the first three
tests, Juan’s grades were 86%, 88%, and 95%.
What is the minimum grade Juan must earn on his fourth and final test so that his employer
will pay for the class?
90%
91%
92%
93%
According to the graph, how much MORE does it cost to mail an overseas letter weighing
4.1 ounces than a letter weighing 3.5 ounces
0.50
0.60
1.50
2.00
2.50
How many gallons of gas were in the generator’s gasoline tank before the generator was
turned on?
(a)
Debra’s job description allocates her time among her tasks as shown in the graph at the
left.
If Debra works 40 hours this week, how many of those hours should be spent on customer
service?
5
10
15
20
If Keisha purchased 10 CDs during the year, how much MORE would she pay if she were
NOT a member of the club than if she were a member?
10
20
30
40
What OTHER point on the grid is on the line passing through the two points shown?
(4,3)
(1,3)
(0,3)
(0,0)
When segment PQ, shown in the diagram below, is moved using the translation {4 left, 5
down}, the new location of point P, designated by P’, is (-6, 1).
What is the location of Q’, the new location of point Q under the same translation?
(a)
Which expression is used to find the profit of the coffee and tea? Select all that apply
52+31
156+155
152+151
c + t = 1511
There are 4 rows of desks in a classroom. Each row has 9 desks in it. How many desks are there in all?
Addition
Subtraction
Multiplication
Division
Vivian had 17 pencils. David had 32 pencils. How many more pencils does David have than Vivian?
Addition
Subtraction
Multiplication
Division
The first week of January it snowed 12 inches. The next week it snowed 16 inches. How many inches has it snowed in all?
Addition
Subtraction
Multiplication
Division
Michael has 25 pictures in an album. Cristian has 43 pictures in album. How many pictures do they have in all?
Addition
Subtraction
Multiplication
Division
There are 56 crayons in a box. The box has 7 different colors. How many crayons are there of each color?
Addition
Subtraction
Multiplication
Division
Vanessa walks to and from school 5 days a week. Each way is 2 miles. How many miles does she walk in all for the whole week?
Addition
Subtraction
Multiplication
Division
In 2014 there were 74 days of sunshine in the summer. In 2015 there were 92 days of sunshine in the summer. How many more days of sunshine were there in 2015?
Addition
Subtraction
Multiplication
Division
Roberto buys 50 dog treats. He gives his dog 3 bones every day. How many days will the dog treats last?
Addition
Subtraction
Multiplication
Division
BONUS QUESTION: Joseph and his friends ate pizza for lunch. There were 5 pizzas with 12 slices each. If Joseph and his 12 friends had 4 slices each, how many slices were left over?
Addition then Subtraction
Multiplication then Division
Multiplication then Subtraction
Division then Subtraction
Carlos went to Kroger and spent $9.00. He spent 1/4 of his money on games. How much money was spent on games?
9/4 or 2 1/4
4/9
$4.00
$36/9 or $4.00
Natalie bought 10 pizzas for a party. When the party was over, she noticed 1/5 of the pizza was gone. How much pizza did everyone eat at the party?
1/2 of pizza
2 pizzas
none
1/5 of pizza
Xander had 9 Legos and Valt played with 3/4 of Xander's Legos. How many of Xander's Legos did Valt play with?
6 3/4 of Xander's Legos
27 of Xander's Legos
1/2 of Xander's Legos
1/4 of Xander's Legos
We had 25 doughnuts and we ate 2/5 of them. How many doughnuts did we eat?
10 doughnuts
5 doughnuts
15 doughnuts
20 doughnuts
Debby needed 31 of a cup of water for 1 flower. If she had 9 flowers how many cups would she need?
3
31
271
On Monday it snowed nine inches. The next day it snowed 21 of that amount. How much did it snow on the second day?
421
4
181
A farmer gives each of his horses 72 of a salt lick a month. If he has 5 horses, how many salt licks does he use a month?
1 73
7
352
Camilla's class played soccer of 32 hour. She played for 53 of the time. How much of the game did Camilla play?
155 hour
156 hour
85 hour
86
Matt has 2/3 yards of fishing line. He uses 3/8 yards of fishing line to make fishing knots. How much line is used to make knots?
246 yards
115 yards
1 82 yards
What is the area of a workshop that is 4 yards wide and 5 32 yards long?
9 32 square yards
13 31 square yards
20 32 square yards
22 32 square yards
What is a product?
the result of multiplication
a number that is multiplied
a mathematical statement that uses an equal sign to show that two expressions have the same value
There are 24 students in Mr. Bond's math class. 5/8 of the students earned an A on their math test. How many students earned an A?
5 students
8 students
15 students
16 students
My chicken noodle soup recipe calls for 1 3/4 cups of chicken broth. If I want to triple the recipe, how many cups of chicken broth will I need?
5 1/4 cups
6 1/4 cups
3 3/4 cups
4 3/4 cups
Patrick is going on a road trip with some friends. If they drive at an average rate of 60 miles per hour, how far will they travel in 3 1/2 hours?
180 miles
240 miles
150 miles
210 miles
Harold's computer hard drive has 131.25 GB of free space, which is about 17.5% of the capacity of his hard drive. What is the capacity of the hard drive in GB?
(a)
Many states have a meal tax that is proportional to the total spent on food and beverage. In one state, the meal tax is 6.16%. How much tax will a customer pay if the food and beverages total is $44?
(a)
An auto insurance company pays 12%
commission to its agents for each new insurance
policy they sell. How much commission does an
agent make on a $1,000 policy?
(a)
Bill paid $35.99 in tax on a laptop that cost $449.99. About what percent sales tax did Bill pay? (round to the nearest whole percent)
(a)
In a survey of 2,400 people who owned a certain type of car, 480 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
(a)
The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
(a)
Write your answer as money without the dollar sign (##.##)
(a)
Write your answer as money without the dollar sign (##.##)
(a)
A typical tip in a restaurant is 15% of the total bill. If the bill is $160, what would the typical tip be?
(a)
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $530 worth of jewelry. How much did the JEWELRY store make on her sale?
(a)
A large university accepts 70% of the students who apply. Of the students the university accepts, 45% actually enroll. If 20,000 students apply, how many actually enroll?
(a)
In a company, 80% of the workers are women. If 1,140 people work for the company who aren't women, how many workers are there in all?
(a)
CHALLENGE: A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $27. Option B is a commission rate of 4% on weekly sales. How much does he need to sell this week to earn the same amount with the two options?
(a)
CHALLENGE: At a real estate agency, an agent sold a house for $364,000. The commission rate is 5.5% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the real estate agency make on the house?
(a)
CHALLENGE: At a real estate agency, an agent sold a house for $364,000. The commission rate is 5.5% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the agent make on the house?
(a)
Which operation should you use when the problem has the word: "AND"
subtraction
addition
multiplication
division
What operation would you use for the word of?
subtraction
addition
multiplication
division
Baking Pies rest were apple. They used four and a half pounds of cherries for each of the cherry pies and 9 apples for each of the apple pies. They spent 2 hours getting the pies ready to go into the oven. The pies needed to bake for 45 minutes each. Two pies could fit in the oven at a time. When they were done, they decided to keep one of the apple pies to share with their families. They brought the rest of the pies to the bake sale the next day.
A. How many pies did Emily and Jacob
bring to the bake sale?
6
5
2
45
Emily and Jacob decided to bake pies for the school bake sale. They baked six pies altogether. Two of the pies were cherry and the rest were apple. They used four and a half pounds of cherries for each of the cherry pies and 9 apples for each of the apple pies. They spent 2 hours getting the pies ready to go into the oven. The pies needed to bake for 45 minutes each. Two pies could fit in the oven at a time. When they were done, they decided to keep one of the apple pies to share with their families. They brought the rest of the pies to the bake sale the next day. B. How many pounds of cherries did they buy?
9 pounds of cherries
4.5 pounds of cherries
2 pounds of cherries
Emily and Jacob decided to bake pies for the school bake sale. They baked six pies altogether. Two of the pies were cherry and the rest were apple. They used four and a half pounds of cherries for each of the cherry pies and 9 apples for each of the apple pies. They spent 2 hours getting the pies ready to go into the oven. The pies needed to bake for 45 minutes each. Two pies could fit in the oven at a time. When they were done, they decided to keep one of the apple pies to share with their families. They brought the rest of the pies to the bake sale the next day. C. How many apples did they buy?
45
30
36
Emily and Jacob decided to bake pies for the school bake sale. They baked six pies altogether. Two of the pies were cherry and the rest were apple. They used four and a half pounds of cherries for each of the cherry pies and 9 apples for each of the apple pies. They spent 2 hours getting the pies ready to go into the oven. The pies needed to bake for 45 minutes each. Two pies could fit in the oven at a time. When they were done, they decided to keep one of the apple pies to share with their families. They brought the rest of the pies to the bake sale the next day. D. How long did it take to bake all of the pies?
2 hours and 30 minutes
2 hours and 20 minutes
2 hours and 10 minutes
Round 1,378 to the nearest hundred:
1,400
1,380
1,375
1,300
Round 1,652 to the nearest ten:
1600
1700
1660
1650
What is this number in standard form?
24,377
Two hundred thousand four three hundred seven
Twenty-four thousand, three hundred and seventy seven
two four three seventeen seven
Which one of these numbers is in the hundreds place?
3,965.20
9
2
6
5
Complete this divisibility rule: If a number is divisible by both 2 and 3 then it is also...
can be divided by 10
can be multiplied by itself
divisible by 4
divisible by 6
Which one of these numbers is NOT divisible by 9?
36
99
63
19
Three days is equivalent to how many hours?
24 hours
72 hours
60 hours
100 hours
How many days are in three weeks?
10 days
21 days
40 days
3 days
Estimate to the tens place to find the difference between
588 - 177
410
411
300
400
Estimate the quotient of the problem: 488 / 53
10
5
9
8
A study session started at 6:45 pm and ended at 7:15 pm. How long did the study session last?
20 minutes
30 minutes
1 hour
15 minutes
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of ___?
20
50
3.14
100
To convert from a percent to a decimal we divide by 100 or move the decimal two places to the (a)
To convert from a decimal to a percent we multiply by 100.
This means we move the decimal to the _____ two places.
right
left
What is 78% written as a decimal?
0.78
7.8
7.80
0.078
What is 3.2% written as a decimal?
0.32
3.2
32.2
0.032
Write 43 as a decimal.
3.4
0.34
0.75
0.075
Express 0.86 as a percent.
8.6%
86%
8%
.86%
Convert 0.09 to a percent.
90%
9/100
9
9%
Express 7% as a decimal.
0.7
0.75
7/100
0.07
Convert 33% to a decimal.
3.3
0.33
33/100
0,033
Write 75% as a decimal.
0.75
0.00075
7.5
10075
True/False: 8%= 1008
True
False
Write 50% as a fraction.
105
21
10050
All are correct
None are correct
Match the following fractions to there percentages.
103
30%
41
25%
31
33%
51
20%
32
67%
Match the following percents to fractions.
50%
20/40
26%
13/50
44%
11/25
86%
43/50
96%
24/25
If Johnny gets 17 out of 18 on his quiz what percentage grade does her recieve?
92%
94%
96%
98%
2/3 or 9/12
To multiply two fractions...
multiply the numerators and keep the denominators the same
multiply the numerators and multiply the denominators.
keep the numerators the same and multiply the denominators.
guess and check.
When dividing two fractions, you first have to
make one fraction negative
multiply them together
change division to multiplication and then flip the second fraction
flip the first fraction and multiply
When multiplying or dividing two numbers with the same sign (neg x neg or pos x pos) ...your answer will be....?
Negative
Zero
Positive
No Sign
When multiplying or dividing two numbers with different signs (neg x pos) ...your answer will be....?
Negative
Zero
Positive
No Sign
What would be the sign of the answer to the following problem?
(32) ×(5−1)Positive
Negative
What would be the sign of the answer to the following problem?
(2−1) ×(4−3)Positive
Negative
Write your answer in simplest form.
32 × (4−5)-10/12
-5/6
-1/3
5/6
4−1÷9−4
−197
197
16−9
169
4−5÷31
12−5
125
−3 43
3 43
21 ÷ 53 =
Multiply and write in simplest form.
65
6−5
103
10−3
Convert to a decimal 43
0.25
0.34
0.75
3.4
Convert 54 to a percent.
45%
4.5%
80%
8%
There are 4 trombones out of 25 instruments in the Landers town band.
What percent of the instruments are trombones?
4%
20%
16%
25%
James took a quiz and got 15 questions out of 20 questions right what was his grade percentage?
10%
50%
100%
75%
What does a decimal point mean?
It means divide.
It means the same as a fraction bar.
It shows where whole numbers end and where numbers less than one begin.
It shows you how to move the numbers around.
12.7% as a decimal
127
0.127
1.27
0.0127
What is 0.03 as a fraction in simplest form?
1003
103
10010
10003
Which number is NOT equivalent to the others?
0.5 51 255 20%
0.5
51
255
20%
What is 1002 as a decimal?
2.0
0.2
0.02
2.222
12.5%
1.25%
81
125%
Change the following percent to a decimal
142%
1.42
14.2
142.0
0.142
Change 0.9 to a percent
9%
0.9%
90%
900%
Change 0.384 to a percent
384%
38.4%
0.00348%
3.84%
What fraction, decimal and percent does this model represent (the green portion)?
81 and 0.125 and 12.5%
81 and 1.8 and 1.8%
81 and 0.18 and 18%
81 and 1.25 and 1.25%
What fraction, decimal and percent does the following bar model represent (the blue portion)?
51 and 20% and 20
0.20 and 51 and 2%
20% and 0.20 and 51
20 and 51 and 20%
Rewrite as a decimal: 21
50.0
0.050
1.2
0.5
What percent of the circle is NOT shaded?
25%
60%
75%
80%
Roger ate 52 of a pizza. What percent of a pizza did he eat?
40%
25%
4%
5%
Which is greater?
0.12 OR 1.2%
They are equal
0.12
1.2%
No way to tell
34 x 18
276
582
686
612
Which of these are multiples of 4? (choose one answer)
4, 8, 12
1, 2, 4
2, 4, 8
4, 8, 15
8, 22, 100
Is 41 a multiple of 8?
Yes
No
