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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. Factors may be multiplied in any order.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
commutative law of multiplication
y-coordinate
complementary angles
2. Having the same value
equivalent
farther to the right on the number line.
circumference
quotient
3. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
right triangle
To add integers that have opposite signs:
Axiom I.
Odd
4. One number is said to be less than (<) another when it is
farther to the left on the number line
mode
Different Units
Change / Original Formula?
5. Having the same size and shape
higher terms
congruent
product
exponent
6. Lines in the same plane that do not intersect. The symbol //
proper fraction
quotient
parallel lines
product
7. When will a decimal Not terminate and why?
y-coordinate
x = (+-) a
Even div. by 4
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
8. All whole numbers (both positive and negative) and zero.
pyramid
integers
improper fraction
Reducing fractions
9. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
mixed fraction
To add integers that have the same sign (both positive or both negative):
Odd
mode
10. 1 to any power is equal to
always clear the innermost groups first
1
congruent
greatest common factor (GCF)
11. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
To add integers that have opposite signs:
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Odd
mode
12. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
right triangle
A = (Diagonal1 x Diagonal2) / 2
The rule for adding negative integers is the same as the rule for adding positive integers:
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
13. 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
x-coordinate
probability
Zero (0)
Negative-value integers
14. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
Parts
probability
rectangle
15. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Aliquant Part
ratio
Inserting a zero at the right end of a whole number
Percent Decrease Formula
16. The Sum of n consecutive integers is divisible by n if n is
Odd
composite number
greatest common factor (GCF)
Number
17. 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.
Long Division
0.625
More
1
18. 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.
vertex (vertices - plural)
mixed number
To add integers that have opposite signs:
Percent Change
19. 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
Terminating decimal
rate
Converting Improper Fractions to Mixed Numbers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
20. What is an evenly-spaced set?
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.
A plus sign (+) is used for two entirely different purposes:
combination of addition and subtraction
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
21. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Arithmetic - Music - Geometry and Astronomy
To add integers that have opposite signs:
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
2^3 = 8
22. Expresses fractional parts that are greater than 1.
scalene triangle
isosceles triangle
mixed number
cylinder
23. A self-evident statement - that is - one that does not need to be demonstrated.
prime number
When the addends have the same sign both + or both -
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?
axiom
24. If 2 numbers are OPPOSITES of each other
Unknown quantities
Always completed first
they have the same absolute value
Aliquot and Aliquant Parts
25. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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26. An equation stating that two ratios are equal
x-axis
1
2^3 = 8
proportion
27. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
prime number
median
Line Segments
like fractions
28. One number is said to be greater than (>) another when it is
farther to the right on the number line.
Change / Original Formula?
Being divided by a power of 10
octagon
29. A collection of things taken as a Unity. A bushel of wheat is a whole.
Both
Whole
Axiom V.
Composite number
30. Every number is contained in itself once.
product
range
parallel lines
Axiom VII.
31. An angle that measures 90 degrees
The Decimal Numbering System
the Complement of that part to the whole
right angle
mean
32. 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').
multiplier
Whole Numbers
(Last - First + 1)
isosceles triangle
33. The result of dividing one number by another; the solution to a division problem
quotient
x-axis
Unit Price x Qty. Sold
circumference
34. An eight-sided polygon
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
octagon
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
35. 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.
always clear the innermost groups first
the Complement of that part to the whole
improper fraction
Computation
36. A number that tells how many times the base is multiplied by itself
Positive-value integers
cross product
exponent
Mathematics
37. The numerator is smaller than the denominator
Reducing by the Largest Common Factor (LCF)
proper fraction
1
farther to the right on the number line.
38. 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
dividend
When to use fractions
Odd
Axiom VII.
39. 5/8 --> Decimal ?
mixed number
Aliquot and Aliquant Parts
rate
0.625
40. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Aliquot Part
Axiom II.
Axiom X.
Species
41. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
y-axis
Aliquot Part
fraction or broken number
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
42. Two numbers are said to be equal (=) when they are at
the same point on the number line
straight angle
The concept of trading decimal places and how it works
x/100
43. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
reduced fraction
divisor
x/100
44. A triangle with sides of different lengths and no two angles are the same.
simplify
parallelogram
scalene triangle
Unit Price x Qty. Sold
45. A triangle with two equal sides and two equal angles
isosceles triangle
Percent Decrease Formula
Even
hexagon
46. The lower number in a fraction is the
order of operations
supplementary angles
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
denominator
47. A fraction with a numerator that is larger than or equal to its denominator.
median
right angle
improper fraction
parallelogram
48. When the product in the 1's column is greater than 9
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49. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
mixed number
To find out - easily - if one fraction is bigger than another
Adding negative integers will always produce a negative sum
Parts
50. A number that is a factor of two or more numbers.
dividing the numerator and denominator by the same number
common factor
cylinder
prime number
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