All GED Math Resources
Example Questions
Example Question #1 : Ged Math
Express as a number in base ten.
Each digit of a base six number has a place value that is a power of six. The lowest four powers of 6, beginning with 1, are , so
Example Question #1 : Numbers And Operations
How many elements of the set are rational?
One
Two
None
Three
None
The square root of an integer is irrational if it is not an integer itself. As can be calculated, all three of these square roots are not integers, so none are rational.
Example Question #1 : Numbers And Operations
How many elements of the set are rational?
None
One
Three
Two
Two
0 and 1 are both integers and are therefore rational numbers. is known to be an irrational number, since there are no two integers whose quotient is equal to
. "Two" is correct.
Example Question #1 : Ged Math
To how many of the following sets does the number belong?
I) The set of whole numbers
II) The set of integers
III) The set of rational numbers
Three
None
One
Two
Two
The whole numbers comprise 0 and the positive integers. is a negative integer, so it belongs to the set of integers, but not the set of whole numbers. Also, all integers are rational by definition, since every integer can be expressed as the quotient of two integers (the integer divided by 1, for example). Therefore,
is an integer and a rational number, but not a whole number, and the correct response is two.
Example Question #1 : Numbers And Operations
.
,
, and
are integers; they may or may not be distinct.
Which of the following cannot be equal to ?
We look for ways to write 20 as the product of three integers, then we find the sum of the integers in each situation. They are:
Sum:
Sum:
Sum:
Sum:
9, 10, and 13 are among the possible sums, but 15 is not, so that is the correct response.
Example Question #2 : Numbers
To how many of the following sets does the number belong?
I) The set of whole numbers
II) The set of integers
III) The set of rational numbers
Three
Two
None
One
Two
The whole numbers comprise 0 and the positive integers. is a negative integer, so it belongs to the set of integers, but not the set of whole numbers. Also, all integers are rational by definition, since every integer can be expressed as the quotient of two integers (the integer divided by 1, for example). Therefore,
is an integer and a rational number, but not a whole number, and the correct response is two.
Example Question #1 : Numbers
.
and
are integers; they may or may not be distinct.
Which of the following could be equal to ?
20 can be factored as:
I)
II)
III)
The positive difference of the factors can be any of:
Of the four choices, only 8 is possible.
Example Question #1 : Ged Math
How many subsets does the set have?
The number of subsets of a set with elements is
, so this eight-element set has
subsets.
Example Question #2 : Types Of Numbers And Number Theory
How many elements are in a set that has exactly 64 subsets?
A set with elements has
subsets. Since
, a set with 64 subsets has 6 elements.
Example Question #1 : Numbers And Operations
;
,
, and
are distinct integers.
Which of the following could be equal to ?
We need to find ways to factor 32 such that the three factors are different, and then find the sum of those factors in each case.
32 can be factored as the product of three integers in five differrent ways:
I)
II)
III)
IV)
V)
Of the five ways, only the second and third involve three distinct factors.
In Case II, the sum of the factors is
.
In Case III, the sum of the factors is
.
The only possible correct response is 19.
Certified Tutor
All GED Math Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)