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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 self-evident statement - that is - one that does not need to be demonstrated.
mode
perimeter
they have the same absolute value
axiom

2. When will a decimal terminate and why?
Even
Even or Non-Int
one is positive and the other is negative
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

3. The distance around a circle (the perimeter of a circle).
circumference
Composite number
acute angle
Terminating decimal

4. Change / Original Formula
Change + - Original = New
similar figures
Even div. by 4
Axiom VII.

5. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
A = (Diagonal1 x Diagonal2) / 2
the denominator of the original improper fraction
octagon
Step 1 of Converting Improper Fractions to Mixed Numbers

6. A polygon with five sides
pentagon
congruent
Adding negative integers will always produce a negative sum
x/100

7. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Step 2 of Converting mixed numbers to improper fractions
scalene triangle
Converting Improper Fractions to Mixed Numbers
reflection

8. Expresses fractional parts that are greater than 1.
The Decimal Numbering System
mixed number
right triangle
supplementary angles

9. A whole number that has only one set of factors - itself and 1.
prime number
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
Sale Price - Unit Cost
Reducing fractions

10. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
Axiom VI.
prism
vertex (vertices - plural)
reduced fraction

11. A triangle with one right angle
factor
right triangle
acute angle
To add integers that have opposite signs:

12. A solid figure with two congruent and parallel circular bases
vertex (vertices - plural)
Whole
cylinder
Inequality

13. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Axiom VII.
diameter
Aliquant Part
scale drawing

14. The absolute value of numbers is indicated by
reciprocal
enclosing the numbers in a pair of vertical lines | |
'six cubed'
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

15. A unit for measuring area
improper fraction
combination of addition and subtraction
square unit
Number

16. The sum of a group of numbers divided by the number of numbers. Also known as the average.
Increases the value.
mean
improper fractions
factor

17. Any number with an exponent of 0
obtuse angle
equal to 1
0
Even

18. A triangle with sides of different lengths and no two angles are the same
Original + Change = New Change/Original = Percent Change
quadrant
Odd
scalene triangle

19. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Aliquot Part
parallelogram
Axiom X.
exactly the same portion

20. The number being multiplied is called the
multiplicand
equivalent
denominator
both integers are positive or both are negative

21. Things are Equal in Magnitude when they are
multiplier
Reducing: The Brute-Force Method
referred to the same Unit
1 - (y/100)

22. Zero divided by any whole number (except 0)
acute angle
Is zero
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
common factor

23. A parallelogram with all sides equal and congruent
rhombus
2 and/or 5 only
Fractions allow you to plot values between whole numbers and integers.
radius

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

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25. 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
One... the number 2
circumference
When to use fractions
Adding negative integers will always produce a negative sum

26. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
improper fraction
equivalent
parallel lines

27. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Evaluating Powers With Negative Exponents
Terminating decimal
divisor
improper fraction

28. A number that when multiplied by itself results in the original number
square root
Long Division
ratio
Percent Change

29. Basic Number Properties and elementary operations.
Original + Change = New Change/Original = Percent Change
When to use fractions
Inserting a zero at the left end of a whole number
Number Systems

30. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
The Decimal Numbering System
Even
Odd
x-coordinate

31. The distance around a figure.
Even
Decreases
perimeter
ratio

32. The number doing the dividing is called the
Species
Every integer between 1 and X - inclusive - must be a factor of X
To square an equation to solve it
divisor

33. Is equal to the original value. a x 1 = 1
Any value multiplied by one
cylinder
Magnitude at Rest and Magnitude in Motion
equivalent

34. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
2
diameter
Terminating decimal
Long Division

35. ' x percent' = ?
Axiom II.
mixed fractions
Sale Price - Unit Cost
x/100

36. A statement that needs to be demonstrated and is called in Latin demonstrandum.
dividing the numerator and denominator by the same number
Axiom VII.
Sale Price - Unit Cost
theorem

37. 0 to any power is equal to
0
improper fractions
Unit Cost + Markup
The Ratio of Any two of the following: Original - Change and New

38. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
Unit Cost + Markup
prime number
numerator
difference

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

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40. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
(Last - First + 1)
equilateral triangle
absolute value
Adding negative integers will always produce a negative sum

41. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
product
Alternative to the algebraic manipulation method to solving a VIC
equal to itself.

42. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
improper fraction
Fractions allow you to plot values between whole numbers and integers.
they have the same absolute value

43. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
pyramid
Proof
1
vertex (vertices - plural)

44. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Mathematics
Number
obtuse angle
Reducing fractions

45. 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
Subtracting Signed Integers
right triangle
factors of the multiplication operation
Multitude

46. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
Decimals/Percents
Increases the value.
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.
composite number

47. The whole-number system uses only ten characters -0 through 9.
scalene triangle
Unity - or a Unit
proper fraction
The Decimal Numbering System

48. Original x (1 - x/100) = New
parallel lines
To make sure to solve for Both cases.
Percent Decrease Formula
cross product

49. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
integer values
radius
Even
y-coordinate

50. Things are Equal in Multitude when they are
improper fraction
Magnitude at Rest and Magnitude in Motion
theorem
referred to Unity in the same way