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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
simplify
Unity - or a Unit
A = (Diagonal1 x Diagonal2) / 2
The sum of all the integers from 20 to 100 - inclusive

2. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
Wage Rate ($ per hr) x Hrs worked
rate
circumference

3. A triangle with two equal sides and two equal angles
circumference
divisor
Step 2 of Converting mixed numbers to improper fractions
isosceles triangle

4. Always try to Factor a quadratic equation
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
before solving
A sum of 2 primes is Odd
x-coordinate

5. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Sum of Interior Angles of a Polygon: (n - 2) x 180
prism
equal to 1 divided by that number with a positive exponent
when there are explicit or implicit equations in the problem:

6. Unit Profit = ?
Sale Price - Unit Cost
When the addends have opposite signs one is + and the other is -
circumference
Parts

7. The vertical number line of a coordinate graph
fraction or broken number
order of operations
y-axis
Line Segments

8. Adding integers that have the same sign means
Quantity
both integers are positive or both are negative
combination of addition and subtraction
Non-Int

9. A mirror image of a figure shown over a line of reflection
Known quantities
reflection
Long Division
they have the same absolute value

10. Any whole number can be expressed in terms of the
improper fraction
product
1 - (y/100)
complementary angle

11. An eight-sided polygon
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
octagon
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
factors of the multiplication operation

12. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
Reducing by the Largest Common Factor (LCF)
improper fraction
Even

13. The result of muliplying two or more numbers
parallel lines
Decreases
product
quadrilateral

14. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
( (Last - First) / Increment ) + 1
acute angle
To add integers that have the same sign (both positive or both negative):
2 and/or 5 only

15. Is the disagreement of things in Quantity.
Any value multiplied by one
Parts
Inequality
Reducing fractions

16. TotalCost($) = ?

17. The Sum of n consecutive integers is divisible by n if n is
1 and itself
squared
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
Odd

18. Rules that tell which steps to follow when solving an expression
order of operations
Axiom VIII.
probability
Converting Improper Fractions to Mixed Numbers

19. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
1
rhombus
composite number

20. 1 to any power is equal to
1
hexagon
Odd
Axiom VIII.

21. One number is said to be less than (<) another when it is
Zero (0)
Axiom VIII.
product
farther to the left on the number line

22. A solid figure with two congruent and parallel circular bases
mean
cylinder
polygon
rate

23. A self-evident statement - that is - one that does not need to be demonstrated.
axiom
divisor
cylinder
rhombus

24. The two kinds of Quantity are
rate
Multitudes and Magnitudes
cross product
proportion

25. If 2 numbers are OPPOSITES of each other
2
Axiom VI.
they have the same absolute value
perimeter

26. A number that is not a prime number is called a
composite number
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
square unit
prism

27. The numerator is smaller than the denominator
proportion
proper fraction
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
they have the same absolute value

28. A parallelogram with four right angles
Step 2 of Converting mixed numbers to improper fractions
rectangle
0
circumference

29. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
A plus sign (+) is used for two entirely different purposes:
perimeter
Evaluating Powers With Negative Exponents

30. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
the Complement of that part to the whole
A = (D1 x D2) / 2
unit ratio
Unit Price x Qty. Sold

31. A triangle with sides of different lengths and no two angles are the same
complementary angle
Evaluating Powers With Negative Exponents
radius
scalene triangle

32. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
quadrilateral
pi
Being divided by a power of 10
Terminating decimal

33. Adding integers that have opposite signs means
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Is zero
one is positive and the other is negative
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

34. A ratio that shows the cost per unit of measure
mixed number
Even or Non-Int
unit ratio
parallelogram

35. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
base
cubed
To make sure to solve for Both cases.
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut

36. Surface space that is measured in square units
area
Reducing: The Brute-Force Method
equation
octagon

37. Indicates the number to be multiplied
x-coordinate
To add integers that have the same sign both positive or both negative:
Aliquot Part
base

38. A quadrilateral with one pair of parallel sides
trapezoid
circumference
unit ratio
prime factors

39. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Relative multitude
Axiom III.
parallel lines
Proof

40. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
farther to the left on the number line
quotient
difference

41. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
polygon
radius
Wage Rate ($ per hr) x Hrs worked

42. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Increases the value.
equivalent
isosceles triangle
Relative multitude

43. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Even
Percent Decrease Formula
To square an equation to solve it
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu

44. What are the 2 'percent change' equations?
sample
diameter
farther to the left on the number line
Original + Change = New Change/Original = Percent Change

45. When the factors of a number are all prime numbers - the factors are said to be the
Some integer/Some Power of 10
Even
when there are explicit or implicit equations in the problem:
prime factors

46. By the last letters (u - x - y - etc.)
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
Known quantities
median
order of operations

47. An angle measuring more than zero degrees and less than 90 degrees
multiplicand
Unit Price x Qty. Sold
Quantity is expressed
acute angle

48. The formula for the Area of a Rhombus is?
quadrilateral
unit ratio
y-axis
A = (Diagonal1 x Diagonal2) / 2

49. The distance around a circle (the perimeter of a circle).
circumference
Always completed first
Equality
Quantity

50. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
reciprocal
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices