The General Educational Development (GED) tests are a group of four
subject tests which, when passed, provide certification that the test taker
has United States or Canadian high school-level academic skills.
Measure proficiency in science, mathematics, social studies, reading, and writing.
Passing the GED test gives those who do not complete high school, or who do not meet requirements
for high school diploma, the opportunity to earn their high school equivalency credential, also called a
high school equivalency development or general equivalency diploma.
-
US
Germany
China
- Australia
- Japan
- Malaysia
Reference : https://educatecafe.com/is-ged-recognized-internationally
https://en.wikipedia.org/wiki/General_Educational_Development
-New Zealand
- Canada
- Thailand
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- Switzerland
-South Africa
- Nepal
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History
• In November 1942, the United States Armed Forces Institute asked the American Council on
Education (ACE) to develop a battery of tests to measure high school-level academic skills.
• These tests gave military personnel and veterans who had enrolled in the military before completing high
school a way to demonstrate their knowledge.
• Passing these tests gave returning soldiers and sailors the academic credentials they needed to get
civilian jobs and gain access to post-secondary education or training.
Eligibility
• Students at least 16 years old and not enrolled in high school are eligible for the program.
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What is Mathematical Reasoning Test?
• To measures your ability to use reasoning and mathematics knowledge to make
calculations and solve problems
• 45% focuses on quantitative problem solving
• 55% focuses on basic algebraic problem solving
Is calculator allow?
• A short section of 5–7 questions on which a calculator is not allowed
• Bulk of the test, a calculator is allowed
• Available on the computer screen OR
• you may bring a TI-30XS MultiViewscientific calculator (this is the only model
allowed)
Note; Some of the test questions simply ask you to make calculations. Others describe real-life situations
that you must decide how to solve using mathematics. Many questions are based on graphs or diagrams.
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CHAPTER 1
Whole Numbers
Counting numbers
Whole numbers
The numbers we typically think of when we are
asked to count. We start at 1 and say 1, 2, 3, 4,
and so on. Those are the
counting numbers.
It include all the counting numbers plus the number zero.
Place Value
2,095 = 2,000 + 0 + 90 + 5
Expanded form
(2 ×1,000) + (0 × 100) + (9 × 10) + (5 × 1)
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Larger Numbers
2,367,014,589
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EXERCISE 1 Place Value (Part A)
Directions: Choose the correct answer.
1. What is the place value of 8 in 2,834?
A. Ones
B. Hundreds
C. Thousands
D. Ten thousands
2. Which of the following numbers has 9 in the thousands
place?
A. 9,009
B. 8,991
C. 10,192
D. 91,124
3. Which of the following numbers has 0 as a placeholder
in the tens
place?
A. 90
B. 810
C. 1,023
D. 1,509
4. Which of the following numbers has 1 in the tens place
and 8 in the
hundreds place?
A. 21,018
B. 12,801
C. 10,812
D. 21,108
5. Which of the following numbers has 0 hundreds?
A. 1,008
B. 1,800
C. 10,800
D. 10,810
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Place Value (Part B)
Directions: Fill in each blank with the correct answer.
6. 8,097 has ___________ thousands, ___________ hundreds,
___________ tens, and ___________ ones.
7. 17,926 has ___________ ten thousands, ___________ thousands,
___________ hundreds, ___________ tens, and ___________ ones.
8. The place value of 9 in 1,009 is ___________.
9. The place value of 8 in 81,021 is ___________.
10. The place value of 0 in 10,965 is ___________.
11. The place value of 5 in 350,008 is ___________.
12. The place value of 1 in 1,089,726 is ___________.
13. The place value of 2 in 1,092 is ___________ and the place value of 0
in 1,092 is ___________.
14. The place value of 5 in 5,672 is ___________ and in 6,753 is
___________.
15. The place value of 0 in 6,093 is ___________ and in 6,930 is
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Place Value (Part C)
Directions: Write the value of each underlined digit.
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Number Line
Order of Whole Numbers
Use greater than (>) or less than (<) signs to compare two
numbers.
• > means “lies to the right of” on the number line.
• < means “lies to the left of” on the number line.
EXAMPLE 1
EXAMPLE 2
Using a number line, compare the numbers
2,758 and 2,426.
Using a number line, order the numbers 1,890; 3,330;
and 2,700
from least to greatest.
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Reading and Writing Whole Numbers
Separately: millions group, thousands group, and ones group.
Rules:
• Read or write the digits in each group as a one-, two-, or three-digit number followed by the group name,
except for the ones group.
• When writing a number, place a hyphen in compound words, for example, thirty-two and ninety-six.
• The word and is not used when a whole number is written or read in words
• The commas in the word statements should be placed in the same places as the commas in the number.
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EXAMPLES
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EXERCISE 2
Reading and Writing Whole Numbers (Part A)
Directions: Choose the correct answer.
1. A number has these digits: 5 thousands, 4 hundreds, 7 tens, 2
ones.
Which of the following represents the number?
A. 2,745
B. 5,247
C. 5,472
D. 7,542
2. A number has these digits: 6 millions, 4 hundred thousands, 1
ten
thousands, 8 thousands, 6 hundreds, 2 tens, 4 ones. Which of the
following represents the number?
A. 624,418
B. 418,624
C. 6,418,426
D. 6,418,624
3. Which of the following correctly represents the number
12,277 in
words?
A. twelve hundred, two thousand seventy
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3. B. twelve thousand, two hundred seventy
C. twelve hundred, two thousand seventy-seven
D. twelve thousand, two hundred seventy-seven
4. Which of the following correctly represents the number:
one hundred
thirty thousand, eight hundred fifty-nine?
A. 13,859
B. 85,913
C. 130,859
D. 859,130
5. The diameter of Earth is seven thousand, nine hundred
twenty-six
miles. Which of the following correctly represents the
number in
digits?
A. 926 miles
B. 9,267 miles
C. 7,926 miles
D. 79,260 miles
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Reading and Writing Whole Numbers
(Part B)
Directions: Write a number in the blank that has these digits.
6. 6 thousands, 4 hundreds, 2 tens, 3 ones _________
7. 2 ten thousands, 5 thousands, 3 hundreds, 8 tens, 2 ones _________
8. 7 hundred thousands, 5 thousands, 2 hundreds, 9 ones _________
9. 6 millions, 2 hundred thousands, 6 hundreds, 9 tens, 2 ones _________
10. 30 millions, 1 hundred thousands, 3 hundreds, 1 ones _________
Reading and Writing Whole Numbers (Part C)
Directions: Write each number in the blank using digits.
11. four million, seven hundred thousand _________
12. four hundred fifty thousand _________
13. three hundred twenty-six million, fifty thousand, one hundred twentyfive
_________
14. twenty-one thousand, eight hundred twelve _________
15. three million, four hundred ninety-one thousand, nine hundred thirty
_________
16. three hundred fifty thousand, three hundred eighty-three _________
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Reading and Writing Whole Numbers
(Part D)
Directions: Write the word name of each number.
17. 200,304 _______________________________
18. 350,359 _______________________________
19. 23,822 _______________________________
20. 8,934 _______________________________
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Operations with Whole Numbers
Whole numbers can be added, subtracted, multiplied, or
divided.
Adding Whole Numbers
a+b=b+a
(a + b) + c = a + (b + c)
a+0=a
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Mathematics Pattern
+
3
2
1
0
-1
-2
-3
3
2
1
0
-1
-2
-3
1/30/2023
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EXERCISE 3
Adding Whole Numbers (Part A)
Directions: Add (no regrouping is required).
Adding Whole Numbers (Part B)
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Adding Whole Numbers (Part C)
Directions: Choose the correct answer.
13. Mrs. Webster’s class contains 21 boys and 16 girls. How
many students are in the class?
A. 9
B. 27
C. 37
D. 82
14. What is the number that is more than 124?
A. 90
B. 128
C. 154
D. 158
15. Kai scored 150, 200, and 215 in three games of bowling.
What is his total score for three games?
A. 365
B. 415
C. 560
D. 565
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Subtracting Whole Numbers
EXAMPLE 1
EXAMPLE 2
EXAMPLE 3
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EXERCISE 4
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Subtracting Whole Numbers (Part C)
Directions: Choose the correct answer.
27. What is the difference between 87 and 33?
A. 54
B. 57
C. 84
D. 120
28. Jim scored 98 on a math test. Laura’s score was 13 less than
Jim’s.
What was Laura’s score?
A. 67
B. 85
C. 88
D. 95
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29. The difference between two numbers is 132. If the
larger number is
355, what is the smaller number?
A. 124
B. 223
C. 225
D. 353
30. The sum of two numbers is 650. If one of the
numbers is 230, what is
the other number?
A. 230
B. 400
C. 420
D. 618
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Multiplying Whole Numbers
a×b=b×a
X
0
(a × b) × c = a × (b × c)
1
2
3
4
5
6
7
8
9
EXAMPLE 1
1
To find the product of 7 × 6:
Find the “7” row.
Find the “6” column.
2
3
4
Find the product of 4 × 9:
5
6
7
8
9
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EXERCISE 5
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Dividing Whole Numbers
Division and Zero - undefine
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EXERCISE 6
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Dividing Whole Numbers (Part B)
Directions: Choose the correct answer.
13. There are 63 candy bars in 9 boxes. How many candy bars
are there ineach box?
A. 7
B. 9
C. 54
D. 72
14. How many times is 5 contained in 20?
A. 2
B. 3
C. 4
D. 5
15. In a room there are 48 chairs. Andrew arranged chairs in
rows, each row containing 8 chairs. How many rows will it take
to set up all 48 chairs?
A. 6
B. 8
C. 10
D. 12
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Order of Operations
Rounding Whole Numbers
Rounding whole numbers is often useful to estimate. To
estimate means to use or substitute a number that is almost
equal to an exact number. To round a number, express it to the
nearest hundred, thousand, and so on.
EXAMPLE 1
Round the number 847.
To the nearest ten, 847 rounds to 850.
To the nearest hundred, 847 rounds to 800.
To the nearest thousand, 847 rounds to 1,000
EXAMPLE 2
Round 5,287 to the nearest hundred.
EXAMPLE 3
Round 12,493 to the nearest ten.
EXAMPLE 4
Round 13,560 to the nearest thousand.
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EXERCISE 7
Rounding Whole Numbers
Directions: Round each number.
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Estimating with Whole Numbers
Example 2
Marisa went shopping at a grocery store. She bought items that
cost $4.99, $5.88, $1.04, $7.98, and $1.95. What is the
approximate total cost of these items?
Example 3
What is the approximate product of 510 and 299?
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EXERCISE 8
Estimating with Whole Numbers (Part A)
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Estimating with Whole Numbers
(Part B)
Directions: Choose the correct answer.
13. The price of a floor tile is $1.98. What is the
approximate total cost of
212 tiles?
A. $100
B. $200
C. $300
D. $400
14. Isabella scored 79, 92, 87, 97, and 61 on her
arithmetic tests. What is
her approximate total score?
A. 390
B. 420
C. 430
D. 500
15. Zane purchased several items from a stationery shop. The
items he
purchased cost $3.99, $2.12, $6.97, and $4.02. What is the
approximate
total cost of these items?
A. $15
B. $17
C. $19
D. $24
16. A whole number rounded to the nearest ten is 70. What is
the smallest
possible number?
A. 62
B. 65
C. 74
D. 75
17. A whole number rounded to the nearest hundred is 5,400.
What is the
largest possible number?
A. 5,350
B. 5,390
C. 5,449
5,459
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Reference ; McGraw-Hill Education, Pre-GED third edition
https://ged.practicetestgeeks.com/ged-practice-testexam/?gclid=Cj0KCQiAt66eBhCnARIsAKf3ZNHIkyAHWrjFXzJAVy8WYp1J2Uxhj12JqxAFqfuftpprU7TxBTPz9AaAmGSEALw_wcB
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