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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
1
fraction or broken number
one is positive and the other is negative
vertex (vertices - plural)
2. Change/Original = New
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
Multitudes and Magnitudes
Percent Change
A sum of 2 primes is Odd
3. In a division problem - it's the number being divided
2
dividend
farther to the right on the number line.
theorem
4. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Adding negative integers will always produce a negative sum
Even
integers
Magnitude at Rest and Magnitude in Motion
5. The whole-number system uses only ten characters -0 through 9.
square unit
The Decimal Numbering System
Relative multitude
x/100
6. 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
quadrant
acute angle
When to use the Heavy Division Shortcut - and how to do it
hexagon
7. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
isosceles triangle
When you are absolutely sure the variable or expression <> 0
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
8. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
axiom
x-coordinate
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
acute angle
9. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
angle
improper fractions
Different Units
10. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
inverse
mixed fractions
lowercase letters
11. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
Quantity is expressed
Odd
expression
12. Every quantity is equal to itself.
Step 2 of Converting Improper Fractions to Mixed Numbers
Axiom II.
Same units
quadrant
13. Reducing fractions is
reflection
Positive-value integers
dividing the numerator and denominator by the same number
product
14. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
To make sure to solve for Both cases.
mixed fractions
acute angle
Power notation
15. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The rule for adding negative integers is the same as the rule for adding positive integers:
complementary angle
When the addends have the same sign both + or both -
area
16. The Only possible factors for a prime number are
numerator
1 and itself
mixed number
Quantity
17. The study of quantity
theorem
commutative law of multiplication
Mathematics
Step 1 of Converting mixed numbers to improper fractions
18. Two numbers are said to be equal (=) when they are at
x-axis
the same point on the number line
improper fraction
numerator
19. Every number is contained in itself once.
Axiom VII.
x = (+-) a
Number Systems
Subtracting Signed Integers
20. 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 intege
A = (D1 x D2) / 2
There are two parts in the procedure for subtracting signed integers:
The Decimal Numbering System
1 and itself
21. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
2 and/or 5 only
polygon
divisor
22. Everything may be assumed as unity.
Reducing: The Brute-Force Method
simplify
Fractions allow you to plot values between whole numbers and integers.
Axiom I.
23. The lower number in a fraction is the
Aliquot and Aliquant Parts
denominator
Odd
rectangle
24. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
rectangle
right triangle
diameter
Step 2 of Converting mixed numbers to improper fractions
25. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
rectangle
multiplicand
whether the addends have the same sign or opposite signs
Negative-value integers
26. Always perform the operations
from left to right
mixed number
The bottom side of the triangle
percent
27. Reversed position or direction
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
The Ratio of Any two of the following: Original - Change and New
inverse
Evaluating Powers With Negative Exponents
28. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Any value multiplied by one
y-coordinate
integer or whole number
vertex (vertices - plural)
29. All whole numbers (both positive and negative) and zero.
More
The bottom side of the triangle
multiplicand
integers
30. The result of muliplying two or more numbers
supplementary angles
congruent
product
dividend
31. A polygon that has four sides.
quadrilateral
pentagon
Even
isosceles triangle
32. An angle measuing more than 0 degrees and less than 90 degrees
reciprocal
farther to the right on the number line.
acute angle
proper fraction
33. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Step 1 of Converting Improper Fractions to Mixed Numbers
composite number
'five squared'
To add integers that have opposite signs:
34. Breaking down a composite number until all of the factors are prime
Even
prime factorization
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Different Units
35. What are the rules for picking numbers in VICS?
A minus sign ( - ) is used for two entirely different purposes:
Known quantities
The height of a triangle
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
36. 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.
Quantity
vertex (vertices - plural)
quadrant
Species
37. Two or more fractions that have the same denominator
A sum of 2 primes is Odd
like fractions
To find out - easily - if one fraction is bigger than another
Change + - Original = New
38. Method: convert Decimal to Percent?
Shift DP 2 places right
Line Segments
To add integers that have opposite signs:
Even
39. One number is said to be greater than (>) another when it is
Magnitude
1
base
farther to the right on the number line.
40. The whole-number part of the mixed number is the whole-number part of the
x-coordinate
quotient
Aliquant Part
range
41. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Axiom III.
Terminating decimal
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
Odd
42. A line segment that passes through the center of a circle and has its endpoints on the circle
There are two parts in the procedure for subtracting signed integers:
diameter
Species
Zero (0)
43. An equation stating that two ratios are equal
numerator
Even and Odd
product
proportion
44. What is the perimeter of a Polygon?
mean
Axiom VII.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
y-coordinate
45. A ratio that shows the cost per unit of measure
Magnitude
Axiom X.
unit ratio
Both
46. The method for indicating the power of a number
Power notation
angle
proportion
mixed number
47. Sale Price = ?
circumference
Even - Odd or Non-Int
Percent Change
Unit Cost + Markup
48. A number with an exponent of 2 is often said to be
Shift DP 2 places right
Terminating decimal
squared
Zero multiplied by any value
49. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
lowest terms
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
lowercase Variables
50. In a division problem - the number that an amount is divided by
Different Units
Decreases
0
divisor
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