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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. Area of a Rhombus is?
both integers are positive or both are negative
factors of the multiplication operation
Increases the value.
A = (D1 x D2) / 2

2. Adding integers that have opposite signs means
lowercase Variables
one is positive and the other is negative
sum
rectangle

3. A triangle with one right angle
( (Last - First) / Increment ) + 1
commutative law of multiplication
angle
right triangle

4. The numerator is smaller than the denominator
denominator
proper fraction
Even
improper fractions

5. 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.
the denominator of the original improper fraction
Reducing: The Brute-Force Method
similar figures
y-coordinate

6. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Odd
radius
change the operation from subtraction to addition
range

7. Decreasing the Denominator of a fraction Increases/Decreases the value?
To make sure to solve for Both cases.
radius
Increases the value.
median

8. A whole number that has only one set of factors - itself and 1.
prime number
Terminating decimal
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
numerator

9. The result of muliplying two or more numbers
putting that number over 1
product
quotient
Parts

10. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
unit ratio
Equal
exactly the same portion
sum

11. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
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
Even or Non-Int
polygon
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

12. Every number is contained in itself once.
Percent Decrease Formula
y-coordinate
both integers are positive or both are negative
Axiom VII.

13. A whole number can be expressed as an improper fraction by
putting that number over 1
(Last - First + 1)
Even or Non-Int
Aliquant Part

14. The action of the mind whereby a quantity is measured by Unity or a Unit.
acute angle
Inserting a zero at the right end of a whole number
Magnitude at Rest and Magnitude in Motion
Computation

15. A value such as 5^2 can be called

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16. Operations enclosed in a sign of grouping
Sale Price - Unit Cost
mode
hexagon
Always completed first

17. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
product
When to use fractions
inverse operations
radius

18. Two angles whose sum equals 90 degrees.
proper fraction
dividend
Alternative to the algebraic manipulation method to solving a VIC
complementary angles

19. Surface space that is measured in square units
Unit Price x Qty. Sold
To square an equation to solve it
integer values
area

20. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
2
Always completed first
dividing the numerator and denominator by the same number
denominator

21. The horizontal number line of a coordinate graph
The height of a triangle
Step 1 of Converting mixed numbers to improper fractions
x-axis
y-axis

22. When the factors of a number are all prime numbers - the factors are said to be the
Every integer between 1 and X - inclusive - must be a factor of X
x-coordinate
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
prime factors

23. What is the perimeter of a Polygon?
denominator
Shift DP 2 places right
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
y-axis

24. The horizontal number line of a coordinate graph
x-axis
hexagon
Alternative to the algebraic manipulation method to solving a VIC
Equality

25. By the last letters (u - x - y - etc.)
range
before solving
numerator
Known quantities

26. What are the 2 'percent change' equations?
Even
Wage Rate ($ per hr) x Hrs worked
diameter
Original + Change = New Change/Original = Percent Change

27. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
Known quantities
0
prism
Percent Change

28. Two angles whose sum is 180 degrees
lowercase letters
A = (D1 x D2) / 2
supplementary angles
Line Segments

29. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
To make sure to solve for Both cases.
Known (Given) and Unknown (Sought)
pi
order of operations

30. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
Revenue ($) - Cost ($)
To add integers that have opposite signs:
pentagon

31. A value that combines a whole number and a fractional amount
mixed number
Whole
A sum of 2 primes is Odd
hexagon

32. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
(Last - First + 1)
greatest common factor (GCF)
Zero multiplied by any value

33. 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.
Aliquant Part
diameter
proportion
Axiom VI.

34. What is the formula for: The Area of a Triangle ?
from left to right
Greater
roots of numbers
A = (Base x Height) / 2 - A = (BH)/2

35. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
Aliquant Part
octagon
proportion

36. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
When the addends have opposite signs one is + and the other is -
Unit Price x Qty. Sold

37. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Axiom VI.
they have the same absolute value
probability
dividing the numerator and denominator by the same number

38. An angle that measures 180 degrees
straight angle
Carry the 10's digit of the product to the top of the 10's column of factors.
probability
quadrant

39. A triangle with sides of different lengths and no two angles are the same
Odd
vertex (vertices - plural)
To find out - easily - if one fraction is bigger than another
scalene triangle

40. What is an evenly-spaced set?
exponent
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
When to use the Heavy Division Shortcut - and how to do it
hexagon

41. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
greatest common factor (GCF)
Even
simplify

42. The ratio of integers that results in a terminating decimal
mixed number
Some integer/Some Power of 10
Aliquot and Aliquant Parts
quadrant

43. 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
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
Carry the 10's digit of the product to the top of the 10's column of factors.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
The sum of all the integers from 20 to 100 - inclusive

44. A fraction with a numerator that is larger than or equal to its denominator.
Whole Numbers
proper fraction
improper fraction
pyramid

45. Has no sign value
integer values
Carry the 10's digit of the product to the top of the 10's column of factors.
acute angle
Zero (0)

46. The formula for the Area of a Rhombus is?
Sum of Interior Angles of a Polygon: (n - 2) x 180
A = (Diagonal1 x Diagonal2) / 2
prism
mean

47. The distance around a circle (the perimeter of a circle).
circumference
Both
When the addends have the same sign both + or both -
Zero (0)

48. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
square root
Unit Price x Qty. Sold
When the addends have the same sign both + or both -
Decimals/Percents

49. The whole-number system uses only ten characters -0 through 9.
squared
The Decimal Numbering System
Mathematics
polygon

50. Unit Profit = ?
When to use the Heavy Division Shortcut - and how to do it
Step 2 of Converting mixed numbers to improper fractions
Sale Price - Unit Cost
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