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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. In a division problem - the number that an amount is divided by
quadrilateral
mixed fractions
scalene triangle
divisor

2. A ratio that shows the cost per unit of measure
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
unit ratio
contains only a single number
product

3. One number is said to be less than (<) another when it is
vertex (vertices - plural)
farther to the left on the number line
Different Units
scalene triangle

4. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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5. The total of two or more numbers being added
equation
equivalent
quadrant
sum

6. Includes an integer as well as a fractional part
equal to 1
mixed number
Axiom III.
Axiom VI.

7. Signs of grouping may be nested
sum
Odd
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
acute angle

8. Reversed position or direction
When to use fractions
similar figures
inverse
Arithmetic - Music - Geometry and Astronomy

9. The Sum of n consecutive integers is divisible by n if n is
Zero multiplied by any value
Odd
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
composite number

10. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
exponent
Decimals/Percents
square root
Unity - or a Unit

11. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Step 1 of Converting Improper Fractions to Mixed Numbers
Even
lowest terms
equilateral triangle

12. The number doing the dividing is called the
Axiom IV.
divisor
ordered pair
roots of numbers

13. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
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
Sum of Interior Angles of a Polygon: (n - 2) x 180
y-coordinate
y-axis

14. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
factors of the multiplication operation
prime factorization
sample

15. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
A sum of 2 primes is Odd
To add integers that have the same sign (both positive or both negative):
pi

16. Two angles whose sum equals 90 degrees.
Even
percent
complementary angles
numerator

17. Includes an integer as well as a fractional part
The rule for adding negative integers is the same as the rule for adding positive integers:
x = (+-) a
prime number
mixed fraction

18. Surface space that is measured in square units
The bottom side of the triangle
area
cross product
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

19. Any whole number can be expressed in terms of the
factors of the multiplication operation
Axiom X.
product
Reducing: The Brute-Force Method

20. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
Converting mixed numbers to improper fractions.
y-axis
numerator
Even

21. The smallest multiple that two or more numbers have in common
Greater
least common multiple (LCM)
composite number
Axiom V.

22. A triangle with sides of different lengths and no two angles are the same.
Alternative to the algebraic manipulation method to solving a VIC
x-axis
product
scalene triangle

23. A self-evident statement - that is - one that does not need to be demonstrated.
Whole
cross product
axiom
Reducing fractions

24. The base of a triangle refers to?
parallel lines
Aliquot Part
The bottom side of the triangle
mixed number

25. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
Terminating decimal
( (Last - First) / Increment ) + 1
lowest terms

26. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
To make sure to solve for Both cases.
Even
The Ratio of Any two of the following: Original - Change and New

27. A triangle with two equal sides and two equal angles
Equality
'five squared'
isosceles triangle
Even

28. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
Unit Cost + Markup
equal to 1 divided by that number with a positive exponent
Species

29. 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
sample
common factor
Positive-value integers
Even and Odd

30. When the product in the 1's column is greater than 9

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31. The whole is more or greater than its part.
Some integer/Some Power of 10
Axiom IV.
Axiom III.
Reducing by the Largest Common Factor (LCF)

32. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
x-axis
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
x-coordinate

33. What are the 3 main formulaic properties of evenly-spaced sets?
inverse
y-coordinate
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
Increases the value.

34. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
area
When to use fractions
farther to the right on the number line.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

35. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
y-coordinate
quotient
ordered pair

36. The result of the multiplication is called the
product
Equality
always clear the innermost groups first
similar figures

37. The two kinds of parts
complementary angles
0
Aliquot and Aliquant Parts
the same point on the number line

38. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Magnitude at Rest and Magnitude in Motion
commutative law of multiplication
Number
Being divided by a power of 10

39. Reducing fractions is
Number Systems
Equality
dividing the numerator and denominator by the same number
To add integers that have the same sign both positive or both negative:

40. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
diameter
fraction or broken number
base
Odd

41. 'y percent less than' = ?
1 - (y/100)
The bottom side of the triangle
Composite number
2^3 = 8

42. A ratio that compares two different types of quantities
Odd or Non-Int
rate
Axiom VIII.
Composite number

43. Is equal to the original value. a x 1 = 1
percent
Any value multiplied by one
Equality
Inequality

44. A Polygon is a closed shape formed by
one is positive and the other is negative
from left to right
area
Line Segments

45. A solid figure with two congruent and parallel circular bases
Change / Original Formula?
cylinder
improper fraction
proportion

46. Even X Even = ? ... and is div. by ?
Even div. by 4
Even
product
simplify

47. Everything may be assumed as unity.
Axiom I.
quotient
Step 2 of Converting mixed numbers to improper fractions
rhombus

48. A polygon with six sides.
Inequality
hexagon
octagon
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

49. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
Odd or Non-Int
When the addends have the same sign both + or both -
supplementary angles

50. Two numbers listed in a specific order; it describes a point on the coordinate graph
prime number
commutative law of multiplication
ordered pair
dividing the numerator and denominator by the same number