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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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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. When the factors of a number are all prime numbers - the factors are said to be the
5/8
Quantity is expressed
prime factors
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

2. A comparison of the two values of two numbers
right angle
To add integers that have opposite signs:
ratio
scale drawing

3. A parallelogram with four right angles
1
mode
rectangle
isosceles triangle

4. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
reflection
improper fraction
prism

5. Sale Price = ?
complementary angles
Decreases
Unit Cost + Markup
hexagon

6. A triangle that has three equal sides and three equal angles
equilateral triangle
One... the number 2
product
prime factors

7. The number being multiplied is called the
Even
multiplicand
0
A = (Diagonal1 x Diagonal2) / 2

8. The Only possible factors for a prime number are
circumference
parallelogram
1 and itself
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

9. Signs of grouping may be nested
Carry the 10's digit of the product to the top of the 10's column of factors.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Absolute and Relative
2 and/or 5 only

10. Having the same size and shape
Wage Rate ($ per hr) x Hrs worked
inverse
congruent
Every integer between 1 and X - inclusive - must be a factor of X

11. In a division problem - the number that an amount is divided by
right triangle
quadrilateral
divisor
Multitude

12. A fraction with all common factors (other than 1) factored out of the numerator and denominator
1
Is equal to the original value
integer values
lowest terms

13. How many Even primes are there?
Is equal to the original value
One... the number 2
( (Last - First) / Increment ) + 1
( (Last - First) / Increment ) + 1

14. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
pyramid
product
denominator
Odd

15. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
quadrilateral
ratio
Converting mixed numbers to improper fractions.
percent

16. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Even
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
x-coordinate
mixed number

17. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
mixed number
Odd or Non-Int
Multitude
quotient

18. Unit Profit = ?
Sale Price - Unit Cost
combination of addition and subtraction
reduced fraction
1 - (y/100)

19. The difference between the least and greatest values in a set of numbers
vertex (vertices - plural)
complementary angle
commutative law of multiplication
range

20. Any value divided by one
Composite number
Is equal to the original value
sum
Decreases

21. Rules that tell which steps to follow when solving an expression.
y-coordinate
order of operations
Number Systems
whether the addends have the same sign or opposite signs

22. A statement that needs to be demonstrated and is called in Latin demonstrandum.
theorem
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
Adding negative integers will always produce a negative sum
Odd

23. Expresses fractional parts that are greater than 1.
base
hexagon
mixed number
prime factors

24. Is the disagreement of things in Quantity.
Inserting a zero at the left end of a whole number
Inequality
The Decimal Numbering System
putting that number over 1

25. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Fractions allow you to plot values between whole numbers and integers.
proportion
composite number

26. A collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
Odd
least common multiple (LCM)
exactly the same portion

27. A number that is a multiple of all denominators in a problem.
To add integers that have the same sign both positive or both negative:
common denominator
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
When numbers do not divide evenly

28. To indicate the subtraction operation - to indicate a negative integer value
Reducing by the Largest Common Factor (LCF)
Even
A minus sign ( - ) is used for two entirely different purposes:
farther to the right on the number line.

29. An angle measuring more than zero degrees and less than 90 degrees
unit ratio
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
acute angle
Negative-value integers

30. Lines in the same plane that do not intersect. The symbol //
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
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.
Number
parallel lines

31. 0.625 --> Fraction ?
quotient
5/8
Being divided by a power of 10
x-coordinate

32. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
Aliquot and Aliquant Parts
Equal
parallelogram
diameter

33. A quadrilateral with two pairs of congruent - parallel sides.
Quantity is expressed
parallelogram
Mathematics
Any value multiplied by one

34. The denominator of the fraction part of the mixed number is
ordered pair
the denominator of the original improper fraction
Inserting a zero at the right end of a whole number
putting that number over 1

35. When working with nested signs of grouping
always clear the innermost groups first
exactly the same portion
dividend
equation

36. A combination of numbers and variables connected by one or more operations signs
diameter
expression
congruent
Original x (1 - x/100) = New

37. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
scale drawing
1 and itself
To add integers that have the same sign both positive or both negative:
octagon

38. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
Step 2 of Converting Improper Fractions to Mixed Numbers
denominator
Odd
Whole Numbers

39. Everything may be assumed as unity.
Sale Price - Unit Cost
both integers are positive or both are negative
Axiom I.
Mathematics

40. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
axiom
2^3 = 8
The Ratio of Any two of the following: Original - Change and New

41. The distance around a figure
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
perimeter
composite number
one is positive and the other is negative

42. Surface space that is measured in square units.
area
Odd
The Ratio of Any two of the following: Original - Change and New
complementary angle

43. Even X Even = ? ... and is div. by ?
straight angle
Even div. by 4
Every integer between 1 and X - inclusive - must be a factor of X
hexagon

44. Whole is equal in Multitude to a Part of the other.
2
Equal
The height of a triangle
Carry the 10's digit of the product to the top of the 10's column of factors.

45. A known quantity we refer to as One.
lowest terms
Unity - or a Unit
x-coordinate
mixed fractions

46. Species of Quantities are signified by
y-coordinate
Even and Odd
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
lowercase letters

47. Indicates the number of times the base is to be multiplied
when there are explicit or implicit equations in the problem:
enclosing the numbers in a pair of vertical lines | |
farther to the left on the number line
exponent

48. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
mixed number
y-coordinate
Reducing: The Brute-Force Method
Step 1 of Converting mixed numbers to improper fractions

49. 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
Even div. by 4
Unknown quantities
The sum of all the integers from 20 to 100 - inclusive
Sale Price - Unit Cost

50. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
parallelogram
Power notation
polygon
Axiom VI.