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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. A number with an exponent of 2 is often said to be
common factor
cross product
Terminating decimal
squared

2. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
lowest terms
Step 2 of Converting mixed numbers to improper fractions
Mathematics
Subtracting Signed Integers

3. The two kinds of Multitude
To find out - easily - if one fraction is bigger than another
factors of the multiplication operation
Absolute and Relative
mixed number

4. The vertical number line of a coordinate graph
y-axis
Percent Decrease Formula
Sum of Interior Angles of a Polygon: (n - 2) x 180
The sum of all the integers from 20 to 100 - inclusive

5. A sign of grouping can be omitted when it
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
contains only a single number
Multitudes and Magnitudes
Evaluating Powers With Negative Exponents

6. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
Fractions allow you to plot values between whole numbers and integers.
similar figures
Quantity

7. Always perform the operations
from left to right
median
Proof
Arithmetic - Music - Geometry and Astronomy

8. Total Sales or Revenue = ?
mixed fraction
multiplicand
To square an equation to solve it
Unit Price x Qty. Sold

9. The result of multiplying two or more numbers.
product
proper fractions
2 and/or 5 only
equivalent

10. Factors may be multiplied in any order.
commutative law of multiplication
The bottom side of the triangle
Positive-value integers
Original x (1 - x/100) = New

11. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
The concept of trading decimal places and how it works
More
rhombus
Aliquot Part

12. A quadrilateral with one pair of parallel sides
proper fraction
y-axis
trapezoid
Alternative to the algebraic manipulation method to solving a VIC

13. Having the same size and shape
obtuse angle
Axiom II.
congruent
A = (D1 x D2) / 2

14. An equation stating that two ratios are equal
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
proportion
To add integers that have the same sign (both positive or both negative):
scalene triangle

15. What is the formula forCounting consecutive multiples?
Adding negative integers will always produce a negative sum
sum
Whole
( (Last - First) / Increment ) + 1

16. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
the denominator of the original improper fraction
Axiom III.
numerator
prism

17. Always try to Factor a quadratic equation
before solving
always clear the innermost groups first
( (Last - First) / Increment ) + 1
perimeter

18. When will a decimal terminate and why?
0.625
Reducing: The Brute-Force Method
When numbers do not divide evenly
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

19. All whole numbers (both positive and negative) and zero.
equal to 1 divided by that number with a positive exponent
integers
octagon
contains only a single number

20. 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
contains only a single number
Axiom VI.
denominator
Positive-value integers

21. An angle that measures 90 degrees
right angle
Odd or Non-Int
Quantity is expressed
radius

22. 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').
Whole Numbers
range
quadrant
Equality

23. A ratio that compares two different types of quantities
rate
A = (Base x Height) / 2 - A = (BH)/2
angle
octagon

24. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
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.
octagon
hexagon
Multitude

25. The process of breaking a number down into its factors is called
Equal
factoring
Zero multiplied by any value
Proof

26. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
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
Number
Reducing fractions

27. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
polygon
similar figures
improper fraction
Greater

28. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
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
dividend
To square an equation to solve it
unit ratio

29. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

30. When working with nested signs of grouping
improper fraction
always clear the innermost groups first
Terminating decimal
proportion

31. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
denominator
Computation
A minus sign ( - ) is used for two entirely different purposes:
probability

32. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
unit ratio
Unknown quantities
product

33. A quadrilateral with two pairs of congruent - parallel sides
parallelogram
Odd
The height of a triangle
prime factors

34. A solid figure that has triangles for its sides and a polygon as its base
cylinder
pyramid
y-coordinate
integer or whole number

35. A number is increased by 25%... what must you reduce the new number by to get the old number again?
Even
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
To find out - easily - if one fraction is bigger than another
1 and itself

36. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
Converting mixed numbers to improper fractions.
How the Last Digit Shortcut works
probability
Original + Change = New Change/Original = Percent Change

37. The four Mathematical arts are:
both integers are positive or both are negative
product
Arithmetic - Music - Geometry and Astronomy
percent

38. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
There are two parts in the procedure for subtracting signed integers:
diameter
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
numerator

39. The ratio of a number to 100 (per one hundred); the symbol %
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
Wage Rate ($ per hr) x Hrs worked
To add integers that have opposite signs:
percent

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

41. Reversed position or direction
polygon
improper fraction
( (Last - First) / Increment ) + 1
inverse

42. A triangle with sides of different lengths and no two angles are the same
mode
Multitude
scalene triangle
rectangle

43. A Polygon is a closed shape formed by
To add integers that have opposite signs:
Line Segments
Axiom IV.
Absolute and Relative

44. The lower number in a fraction is the
complementary angle
Zero multiplied by any value
mode
denominator

45. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
quadrilateral
The bottom side of the triangle
reflection

46. No integer (except 1) that divides evenly into both the numerator and denominator.
Whole Numbers
mixed fractions
Different Units
reduced fraction

47. The whole-number part of the mixed number is the whole-number part of the
Known quantities
quotient
parallel lines
Unit Price x Qty. Sold

48. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
quotient
0
prism
ratio

49. Having the same size and shape
Axiom I.
integers
congruent
Multitudes and Magnitudes

50. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
simplify
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
inverse operations
both integers are positive or both are negative