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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. Two angles whose sum equals 90 degrees.
A minus sign ( - ) is used for two entirely different purposes:
complementary angles
greatest common factor (GCF)
commutative law of multiplication

2. A known quantity we refer to as One.
the Complement of that part to the whole
common factor
Unity - or a Unit
quotient

3. One of those primes must be the number __ ?
Aliquot and Aliquant Parts
A sum of 2 primes is Odd
lowest terms
Both

4. The two kinds of Magnitude are
Number
Magnitude at Rest and Magnitude in Motion
composite number
Mathematics

5. The result of dividing one number by another; the solution to a division problem
Homogenous or Heterogenous
x-coordinate
quotient
Fractions allow you to plot values between whole numbers and integers.

6. 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
Sale Price - Unit Cost
When to use fractions
Quantity is expressed
Inequality

7. 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.
mixed number
cross product
Same units
Axiom III.

8. Lines in the same plane that do not intersect. The symbol //
mixed number
parallel lines
To find out - easily - if one fraction is bigger than another
More

9. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
multiplicand
proper fraction
Odd
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

10. The sum of a group of numbers divided by the number of numbers; also known as the average
A plus sign (+) is used for two entirely different purposes:
equal to 1
mean
dividend

11. The result of the multiplication is called the
How the Last Digit Shortcut works
Aliquot Part
product
hexagon

12. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
A sum of 2 primes is Odd
The Ratio of Any two of the following: Original - Change and New
higher terms
Converting mixed numbers to improper fractions.

13. 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.
proper fraction
x-coordinate
Even
diameter

14. A triangle with one right angle
supplementary angles
right triangle
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
Quantity

15. The process of breaking a number down into its factors is called
'five squared'
improper fractions
perimeter
factoring

16. What are the properties of the diagonals of a Rhombus?
whether the addends have the same sign or opposite signs
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
obtuse angle
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

17. The absolute value of the numerator is smaller than the absolute value of the denominator.
they have the same absolute value
proper fraction
Odd or Non-Int
scale drawing

18. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
quotient
When the addends have opposite signs one is + and the other is -
Both
proper fraction

19. Species of Quantities are signified by
Change / Original Formula?
The Decimal Numbering System
lowercase letters
numerator

20. The number doing the dividing is called the
combination of addition and subtraction
proper fraction
reciprocal
divisor

21. The difference between the least and greatest values in a set of numbers
mode
multiplicand
the Complement of that part to the whole
range

22. 1/2 - 1/3 - 2/3 - -5/8
isosceles triangle
equivalent
quotient
proper fractions

23. A combination of numbers and variables connected by one or more operations signs
multiplier
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
expression
y-coordinate

24. 3 ways to solve an absolute value inequality
one is positive and the other is negative
To square an equation to solve it
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
simplify

25. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
unit ratio
the same point on the number line
contains only a single number
Being divided by a power of 10

26. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
polygon
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
A sum of 2 primes is Odd

27. The number being divided is called the
dividend
cross product
Equality
product

28. The horizontal number line of a coordinate graph
perimeter
rate
x-axis
acute angle

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

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30. The result of the division called the
rhombus
quotient
contains only a single number
Always completed first

31. A polygon that has four sides.
Relative multitude
circumference
reciprocal
quadrilateral

32. No integer (except 1) that divides evenly into both the numerator and denominator.
congruent
difference
reduced fraction
square root

33. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
numerator
Positive-value integers
Inequality
Inserting a zero at the right end of a whole number

34. What are the 3 main formulaic properties of evenly-spaced sets?
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
cross product
circumference
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

35. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
How the Last Digit Shortcut works
composite number
Step 2 of Converting mixed numbers to improper fractions
lowercase letters

36. A parallelogram with four right angles
rectangle
y-axis
Converting Improper Fractions to Mixed Numbers
Known quantities

37. 'y percent less than' = ?
Sale Price - Unit Cost
prism
1 - (y/100)
Converting Improper Fractions to Mixed Numbers

38. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
Axiom VII.
Wage Rate ($ per hr) x Hrs worked
cylinder

39. A self-evident statement - that is - one that does not need to be demonstrated.
ordered pair
whether the addends have the same sign or opposite signs
axiom
Homogenous or Heterogenous

40. Odd x ? = Even
quotient
numerator
greatest common factor (GCF)
Even

41. The numerator is smaller than the denominator
Proof
base
proper fraction
Reducing by the Largest Common Factor (LCF)

42. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
A = (D1 x D2) / 2
multiplier
To add integers that have opposite signs:
divisor

43. Two angles whose sum equals 90 degrees
More
improper fraction
complementary angle
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

44. Anything that may be increased or diminished
Axiom III.
difference
Quantity
A minus sign ( - ) is used for two entirely different purposes:

45. A solid figure that has triangles for its sides and a polygon as its base
Fractions allow you to plot values between whole numbers and integers.
pyramid
Original + Change = New Change/Original = Percent Change
Percent Change

46. A triangle with two equal sides and two equal angles
Absolute and Relative
square root
circumference
isosceles triangle

47. Is ZERO positive or negative - both - or none?
Both
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
cylinder
Greater

48. TotalCost($) = ?

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49. A number that is a multiple of all denominators in a problem.
Evaluating Powers With Negative Exponents
common factor
Some integer/Some Power of 10
common denominator

50. Surface space that is measured in square units
Whole Numbers
area
One... the number 2
( (Last - First) / Increment ) + 1