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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 line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
mixed number
diameter
Even
2

2. A line segment that passes through the center of a circle and has its endpoints on the circle
When to use the Heavy Division Shortcut - and how to do it
greatest common factor (GCF)
diameter
Even

3. An equation stating that two ratios are equal
isosceles triangle
Carry the 10's digit of the product to the top of the 10's column of factors.
proportion
Is equal to the original value

4. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
prism
Even or Non-Int
reduced fraction
referred to the same Unit

5. 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
both integers are positive or both are negative
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.
2
Number

6. Adding integers that have opposite signs means
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
Alternative to the algebraic manipulation method to solving a VIC
multiplier
one is positive and the other is negative

7. Profit = ?
Is equal to the original value
scale drawing
Equal
Revenue ($) - Cost ($)

8. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
farther to the left on the number line
quadrant
Magnitude at Rest and Magnitude in Motion
denominator

9. What is the formula forCounting consecutive multiples?
rhombus
The rule for adding negative integers is the same as the rule for adding positive integers:
Evaluating Powers With Negative Exponents
( (Last - First) / Increment ) + 1

10. Factors may be multiplied in any order.
whether the addends have the same sign or opposite signs
the denominator of the original improper fraction
Original x (1 - x/100) = New
commutative law of multiplication

11. The method for indicating the power of a number
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
similar figures
octagon
Power notation

12. In a group of values - the value that occurs most often
congruent
Converting Improper Fractions to Mixed Numbers
mode
putting that number over 1

13. A triangle with sides of different lengths and no two angles are the same.
Converting Improper Fractions to Mixed Numbers
Mathematics
There are two parts in the procedure for subtracting signed integers:
scalene triangle

14. A number with only two factors: the number itself and one.
To add integers that have opposite signs:
exponent
prime factors
prime number

15. A triangle that has three equal sides and three equal angles
quadrant
equilateral triangle
lowercase Variables
exactly the same portion

16. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
probability
putting that number over 1
quadrilateral

17. The distance around a circle (the perimeter of a circle).
exponent
circumference
diameter
Unit Cost + Markup

18. Original x (1 - x/100) = New
quotient
Percent Decrease Formula
Greater
Percent Change

19. 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
order of operations
Is zero
When to use the Heavy Division Shortcut - and how to do it
Decreases

20. Any number with a negative exponent
A sum of 2 primes is Odd
equal to 1 divided by that number with a positive exponent
inverse operations
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

21. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Axiom VII.
A = (Diagonal1 x Diagonal2) / 2
difference

22. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
one is positive and the other is negative
diameter
To square an equation to solve it

23. A number is increased by 25%... what must you reduce the new number by to get the old number again?
A = (D1 x D2) / 2
Even and Odd
one is positive and the other is negative
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount

24. Having the same value
'six cubed'
equivalent
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Alternative to the algebraic manipulation method to solving a VIC

25. The numerator of the fraction part of the mixed number is the remainder from the
quotient
Evaluating Powers With Negative Exponents
fraction or broken number
rhombus

26. An angle measuring more than zero degrees and less than 90 degrees
complementary angle
common denominator
sum
acute angle

27. Any value divided by one
dividend
Even or Non-Int
Adding negative integers will always produce a negative sum
Is equal to the original value

28. Two angles whose sum equals 90 degrees.
right triangle
median
roots of numbers
complementary angles

29. A mathematical sentence that uses an equal sign
A minus sign ( - ) is used for two entirely different purposes:
equation
When to use fractions
farther to the right on the number line.

30. 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.
the Complement of that part to the whole
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
Equal
When you are absolutely sure the variable or expression <> 0

31. Is ZERO positive or negative - both - or none?
Both
Magnitude at Rest and Magnitude in Motion
squared
radius

32. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
Quantity
dividing the numerator and denominator by the same number
lowercase Variables
(Last - First + 1)

33. .625 --> Percent?
lowest terms
62.5%
least common multiple (LCM)
square root

34. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
contains only a single number
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Wage Rate ($ per hr) x Hrs worked
scale drawing

35. Is the opposite of raising fractions to higher terms.
percent
sample
Reducing fractions
referred to Unity in the same way

36. A ratio that compares two different types of quantities
equivalent
rate
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
hexagon

37. The exact procedure for adding signed integers depends upon
integer or whole number
Unit Price x Qty. Sold
radius
whether the addends have the same sign or opposite signs

38. The largest integer that can be divided evenly into both the numerator and denominator.
perimeter
hexagon
Reducing by the Largest Common Factor (LCF)
referred to the same Unit

39. Total Earnings ($) = ?
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
order of operations
Wage Rate ($ per hr) x Hrs worked
numerator

40. A fraction with a numerator that is larger than or equal to its denominator.
perimeter
Shift DP 2 places left
improper fraction
equal to 1 divided by that number with a positive exponent

41. Operations enclosed in a sign of grouping
Always completed first
Even
composite number
Is equal to the original value

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

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43. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
acute angle
Number
1
median

44. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
simplify
Axiom VI.
Odd
Odd or Non-Int

45. A triangle with two equal sides and two equal angles
isosceles triangle
composite number
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Shift DP 2 places right

46. Even X Even = ? ... and is div. by ?
Even div. by 4
the Complement of that part to the whole
A = (Base x Height) / 2 - A = (BH)/2
diameter

47. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Same units
order of operations
The rule for adding negative integers is the same as the rule for adding positive integers:
Known quantities

48. Percent Decrease Formula ?
Original x (1 - x/100) = New
Parts
Reducing by the Largest Common Factor (LCF)
lowercase letters

49. Always perform the operations
Even
from left to right
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
Positive-value integers

50. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
change the operation from subtraction to addition
y-coordinate
Sum of Interior Angles of a Polygon: (n - 2) x 180
equivalent