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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. An angle that measures 90 degrees
right triangle
always clear the innermost groups first
equivalent
right angle

2. Odd / Even = ? e.g. 9/6 = 1.5
factoring
Odd
Non-Int
Original + Change = New Change/Original = Percent Change

3. A number that is not a prime number is called a
Change + - Original = New
Axiom VIII.
squared
composite number

4. By the first letters of the alphabet (a - b - c - d - etc..)
vertex (vertices - plural)
Unknown quantities
quadrant
When to use fractions

5. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
fraction or broken number
similar figures

6. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Zero multiplied by any value
Terminating decimal
hexagon
mode

7. 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.
improper fraction
mixed number
1 - (y/100)

8. Basic Number Properties and elementary operations.
Quantity
Aliquot and Aliquant Parts
base
Number Systems

9. The upper number in a fraction is the
A = (D1 x D2) / 2
Reducing: The Brute-Force Method
numerator
The bottom side of the triangle

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

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11. All whole numbers (both positive and negative) and zero.
Converting mixed numbers to improper fractions.
integers
Even or Non-Int
Axiom IX.

12. Includes an integer as well as a fractional part
Reducing fractions
mixed fraction
integer or whole number
Odd

13. The vertical number line of a coordinate graph
y-axis
pyramid
straight angle
right triangle

14. Any whole number can be expressed in terms of the
Axiom IV.
improper fraction
mode
product

15. Whole is equal in Multitude to a Part of the other.
There are two parts in the procedure for subtracting signed integers:
rectangle
'six cubed'
Equal

16. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
Axiom VIII.
common denominator
Even

17. A triangle with one right angle
right triangle
dividend
absolute value
A minus sign ( - ) is used for two entirely different purposes:

18. An eight-sided polygon
sum
inverse operations
To add integers that have opposite signs:
octagon

19. Total Sales or Revenue = ?
Odd
polygon
Unit Price x Qty. Sold
Axiom II.

20. Can have many different combinations of factors
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Even or Non-Int
Composite number
To square an equation to solve it

21. The study of quantity
enclosing the numbers in a pair of vertical lines | |
5/8
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Mathematics

22. One of the four regions formed by the intersection of the axes of a coordinate graph
Quantity is expressed
Computation
quadrant
prism

23. Multiply both the numerator and denominator by the same integer value.
Unity - or a Unit
circumference
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.
To convert any fraction to higher terms

24. The whole-number part of the mixed number is the whole-number part of the
quotient
2^3 = 8
Axiom IX.
A = (D1 x D2) / 2

25. Operations enclosed in a sign of grouping
pyramid
Always completed first
ordered pair
Step 1 of Converting Improper Fractions to Mixed Numbers

26. A polygon with five sides
square root
Reducing by the Largest Common Factor (LCF)
To convert any fraction to higher terms
pentagon

27. The distance around a circle (the perimeter of a circle)
Revenue ($) - Cost ($)
A = (D1 x D2) / 2
base
circumference

28. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
square unit
referred to the same Unit
proportion
Odd

29. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
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?
reduced fraction
before solving
To find out - easily - if one fraction is bigger than another

30. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
factoring
A plus sign (+) is used for two entirely different purposes:
When the addends have the same sign both + or both -
mixed number

31. The sum of a group of numbers divided by the number of numbers; also known as the average
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
mean
isosceles triangle
exponent

32. 1/2 - 1/3 - 2/3 - -5/8
Multitude
Decimals/Percents
proper fractions
Some integer/Some Power of 10

33. The difference between the least and greatest values in a set of numbers.
range
difference
diameter
Equal

34. A number with an exponent of 2 is often said to be
Revenue ($) - Cost ($)
squared
x-coordinate
product

35. Odd x ? = Even
Unit Price x Qty. Sold
Positive-value integers
exponent
Even

36. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
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
When to use the Heavy Division Shortcut - and how to do it
1
like fractions

37. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
A = (D1 x D2) / 2
0
circumference
fraction or broken number

38. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Original + Change = New Change/Original = Percent Change
rate
common factor
Axiom IX.

39. To make a fraction easier to work with by taking out common factors
simplify
0
Any value multiplied by one
parallelogram

40. An angle measuring more than zero degrees and less than 90 degrees
Axiom III.
acute angle
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Wage Rate ($ per hr) x Hrs worked

41. In a division problem - the number that an amount is divided by
axiom
divisor
Different Units
farther to the right on the number line.

42. Is the opposite of raising fractions to higher terms.
reciprocal
Reducing fractions
percent
divisor

43. The vertical number line of a coordinate graph
parallelogram
from left to right
polygon
y-axis

44. A parallelogram with all sides equal and congruent
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Every integer between 1 and X - inclusive - must be a factor of X
rhombus
To find out - easily - if one fraction is bigger than another

45. Is ZERO positive or negative - both - or none?
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
rectangle
angle
Both

46. Where do fractions occur on a number line?
radius
Zero (0)
Fractions allow you to plot values between whole numbers and integers.
Inserting a zero at the right end of a whole number

47. 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.
referred to the same Unit
congruent
The concept of trading decimal places and how it works
range

48. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Unit Cost + Markup
Odd
right angle
inverse operations

49. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
Same units
2^3 = 8
A plus sign (+) is used for two entirely different purposes:
similar figures

50. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
Line Segments
squared
x-axis