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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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 mirror image of a figure shown over a line of reflection
reflection
prime number
UnitPrice ($/unit) x Qty.Purchas'd (units)
combination of addition and subtraction
2. Surface space that is measured in square units.
area
reduced fraction
(Last - First + 1)
Aliquot and Aliquant Parts
3. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
Converting Improper Fractions to Mixed Numbers
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
quotient
common factor
4. Two angles whose sum is 180 degrees
reciprocal
x-coordinate
The height of a triangle
supplementary angles
5. A solid figure that has triangles for its sides and a polygon as its base
order of operations
pyramid
More
mean
6. A parallelogram with four right angles
Revenue ($) - Cost ($)
rectangle
like fractions
equal to itself.
7. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
vertex (vertices - plural)
When to use the Heavy Division Shortcut - and how to do it
farther to the left on the number line
exponent
8. An equation stating that two ratios are equal
multiplier
from left to right
proportion
equilateral triangle
9. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Even div. by 4
diameter
Revenue ($) - Cost ($)
When the addends have opposite signs one is + and the other is -
10. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
order of operations
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Subtracting Signed Integers
radius
11. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Axiom VII.
Revenue ($) - Cost ($)
x-coordinate
Aliquant Part
12. The number to be multiplied by is called the
square unit
mixed number
multiplier
mode
13. Original x (1 - x/100) = New
multiplicand
Percent Decrease Formula
Always completed first
Decimals/Percents
14. What is the increment of a set of consecutive integers?
difference
Zero multiplied by any value
1
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
15. When the factors of a number are all prime numbers - the factors are said to be the
higher terms
prime factors
farther to the left on the number line
angle
16. The whole-number system uses only ten characters -0 through 9.
cubed
lowest terms
equal to 1
The Decimal Numbering System
17. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
hexagon
Species
Even
2
18. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
composite number
proper fraction
Converting Improper Fractions to Mixed Numbers
19. An eight-sided polygon
octagon
Sale Price - Unit Cost
higher terms
the same point on the number line
20. Expresses fractional parts that are greater than 1.
Sale Price - Unit Cost
mixed number
A sum of 2 primes is Odd
prime factorization
21. A number that when multiplied by itself results in the original number
right triangle
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
square root
the same point on the number line
22. The lower number in a fraction is the
Wage Rate ($ per hr) x Hrs worked
inverse operations
denominator
Even
23. A fraction with a numerator that is larger than or equal to its denominator.
Odd
equal to 1
congruent
improper fraction
24. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Axiom VII.
quotient
Inserting a zero at the left end of a whole number
There are two parts in the procedure for subtracting signed integers:
25. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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26. The study of quantity
hexagon
denominator
Even
Mathematics
27. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
62.5%
Equal
mean
28. A sign of grouping can be omitted when it
1
contains only a single number
'six cubed'
Revenue ($) - Cost ($)
29. A quadrilateral with one pair of parallel sides
When the addends have opposite signs one is + and the other is -
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
prime factorization
trapezoid
30. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
Step 1 of Converting mixed numbers to improper fractions
angle
Quantity is expressed
31. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
x-axis
Unit Price x Qty. Sold
parallel lines
the Complement of that part to the whole
32. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Percent Decrease Formula
Odd
Odd
scale drawing
33. Two numbers are said to be equal (=) when they are at
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.
farther to the right on the number line.
the same point on the number line
inverse operations
34. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Sale Price - Unit Cost
multiplier
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
mixed number
35. The vertical number line of a coordinate graph
To add integers that have the same sign (both positive or both negative):
y-axis
product
Odd
36. Everything may be assumed as unity.
cross product
Axiom I.
x-axis
Odd
37. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Both
Step 2 of Converting mixed numbers to improper fractions
Proof
mean
38. Factors may be multiplied in any order.
The Decimal Numbering System
pi
commutative law of multiplication
To convert any fraction to higher terms
39. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
2 and/or 5 only
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
Unit Price x Qty. Sold
The Ratio of Any two of the following: Original - Change and New
40. A triangle with two equal sides and two equal angles
1
isosceles triangle
both integers are positive or both are negative
quotient
41. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
denominator
Odd
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Increases the value.
42. Any number with a negative exponent
Sum of Interior Angles of a Polygon: (n - 2) x 180
vertex (vertices - plural)
equal to 1 divided by that number with a positive exponent
Multitudes and Magnitudes
43. A line segment that passes through the center of a circle and has its endpoints on the circle
improper fraction
polygon
Axiom II.
diameter
44. 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.
y-axis
Odd
composite number
Revenue ($) - Cost ($)
45. Rules that tell which steps to follow when solving an expression.
divisor
order of operations
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
mixed number
46. The difference between the least and greatest values in a set of numbers.
Change / Original Formula?
product
numerator
range
47. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
A minus sign ( - ) is used for two entirely different purposes:
Even - Odd or Non-Int
simplify
When numbers do not divide evenly
48. .625 --> Percent?
Known quantities
62.5%
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Same units
49. A polygon that has four sides
equilateral triangle
quadrilateral
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Revenue ($) - Cost ($)
50. Cross-multiply
There are two parts in the procedure for subtracting signed integers:
(Last - First + 1)
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
To find out - easily - if one fraction is bigger than another