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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. What is the formula forCounting consecutive multiples?
5/8
2^3 = 8
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
( (Last - First) / Increment ) + 1

2. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
sum
absolute value
A plus sign (+) is used for two entirely different purposes:
radius

3. A triangle with two equal sides and two equal angles
isosceles triangle
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
parallel lines
The height of a triangle

4. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
before solving
Number
supplementary angles
ratio

5. Original x (1 - x/100) = New
Unit Price x Qty. Sold
Percent Decrease Formula
vertex (vertices - plural)
Odd

6. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Axiom IX.
acute angle
Positive-value integers
Even div. by 4

7. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
proportion
factoring
Fractions allow you to plot values between whole numbers and integers.
lowercase Variables

8. A value such as 6^3 can described as

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9. What are the 2 'percent change' equations?
Original + Change = New Change/Original = Percent Change
Reducing fractions
rate
UnitPrice ($/unit) x Qty.Purchas'd (units)

10. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
putting that number over 1
reciprocal
diameter
When numbers do not divide evenly

11. The exact procedure for adding signed integers depends upon
one is positive and the other is negative
simplify
Inequality
whether the addends have the same sign or opposite signs

12. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
ordered pair
(Last - First + 1)
putting that number over 1

13. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
angle
base
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
proper fraction

14. One number is said to be less than (<) another when it is
mode
farther to the left on the number line
the same point on the number line
Carry the 10's digit of the product to the top of the 10's column of factors.

15. Every lesser number is contained in a greater more than once.
Aliquot and Aliquant Parts
farther to the left on the number line
mean
Axiom VIII.

16. Is equal to zero. 0 x a = 0
trapezoid
Zero multiplied by any value
Unity - or a Unit
diameter

17. Any whole number can be expressed in terms of the
Non-Int
unit ratio
product
Inequality

18. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
polygon
Odd
Axiom I.
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

19. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Composite number
simplify
integer or whole number
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

20. When working with nested signs of grouping
A = (Base x Height) / 2 - A = (BH)/2
y-axis
The concept of trading decimal places and how it works
always clear the innermost groups first

21. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
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
Equal
Carry the 10's digit of the product to the top of the 10's column of factors.
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

22. 5/8 --> Decimal ?
Decimals/Percents
0.625
Shift DP 2 places right
pyramid

23. 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
Parts
denominator
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

24. A mathematical sentence that uses an equal sign
equation
the Complement of that part to the whole
Aliquot Part
mode

25. A fraction with all common factors (other than 1) factored out of the numerator and denominator
x-axis
multiplier
order of operations
lowest terms

26. What is an evenly-spaced set?
y-axis
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Step 1 of Converting mixed numbers to improper fractions
mixed fraction

27. Species of Quantities are signified by
proportion
More
lowest terms
lowercase letters

28. A collection of things taken as a Unity. A bushel of wheat is a whole.
Even div. by 4
quotient
Whole
Terminating decimal

29. 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.
Converting mixed numbers to improper fractions.
perimeter
numerator
To make sure to solve for Both cases.

30. The result of the multiplication is called the
proper fraction
To make sure to solve for Both cases.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
product

31. Change/Original = New
Known quantities
probability
Percent Change
fraction or broken number

32. A number with an exponent of 2 is often said to be
squared
right triangle
Reducing: The Brute-Force Method
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

33. The Sum of n consecutive integers is divisible by n if n is
complementary angles
vertex (vertices - plural)
Change / Original Formula?
Odd

34. Sale Price = ?
When numbers do not divide evenly
Unit Cost + Markup
mixed fractions
Aliquant Part

35. A fraction with a numerator that is larger than or equal to its denominator.
One... the number 2
The rule for adding negative integers is the same as the rule for adding positive integers:
improper fraction
Terminating decimal

36. The terms Species and Number
To add integers that have opposite signs:
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
Different Units
Quantity is expressed

37. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
scale drawing
Even and Odd
lowest terms
1 and itself

38. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Power notation
When the addends have the same sign both + or both -
denominator
Unity - or a Unit

39. The process of breaking a number down into its factors is called
More
quadrilateral
factoring
Positive-value integers

40. Two numbers are said to be equal (=) when they are at
the same point on the number line
axiom
always clear the innermost groups first
A plus sign (+) is used for two entirely different purposes:

41. Switch to a number-picking strategy
parallelogram
Positive-value integers
Alternative to the algebraic manipulation method to solving a VIC
improper fraction

42. Why are Even Exponents dangerous?
cylinder
The Decimal Numbering System
lowest terms
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

43. The ratio of integers that results in a terminating decimal
'six cubed'
equivalent
Some integer/Some Power of 10
parallelogram

44. The number being divided is called the
circumference
Quantity is expressed
factoring
dividend

45. Change / Original Formula
prime number
Change + - Original = New
similar figures
Inequality

46. A triangle with sides of different lengths and no two angles are the same.
factor
isosceles triangle
simplify
scalene triangle

47. The difference between the least and greatest values in a set of numbers.
right angle
right triangle
proper fraction
range

48. The two kinds of parts
rate
Aliquot and Aliquant Parts
(Last - First + 1)
Odd

49. A number is increased by 25%... what must you reduce the new number by to get the old number again?
farther to the right on the number line.
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
circumference
Same units

50. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Axiom X.
Composite number
lowest terms
The concept of trading decimal places and how it works