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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. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
congruent
product
prism

2. Area of a Rhombus is?
A = (D1 x D2) / 2
diameter
proportion
Inserting a zero at the left end of a whole number

3. Rules that tell which steps to follow when solving an expression
Even
order of operations
Change + - Original = New
probability

4. The ratio of a number to 100 (per one hundred). The symbol %
A = (D1 x D2) / 2
Reducing: The Brute-Force Method
Even
percent

5. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
Aliquant Part
Even
Step 1 of Converting mixed numbers to improper fractions
factor

6. 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.
Axiom IV.
The sum of all the integers from 20 to 100 - inclusive
vertex (vertices - plural)
When to use the Heavy Division Shortcut - and how to do it

7. The horizontal number line of a coordinate graph
x-axis
Axiom II.
prime number
Inserting a zero at the left end of a whole number

8. Taken together - the multiplicand and multiplier are known as
acute angle
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?
factors of the multiplication operation
Is equal to the original value

9. TotalCost($) = ?

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10. When the product in the 1's column is greater than 9

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11. A fraction with all common factors (other than 1) factored out of the numerator and denominator
the denominator of the original improper fraction
lowest terms
cylinder
5/8

12. A ratio that compares two different types of quantities
Relative multitude
rate
before solving
the denominator of the original improper fraction

13. Always perform the operations
Whole
mixed number
from left to right
Zero multiplied by any value

14. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
Even and Odd
Line Segments
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

15. An eight-sided polygon
Fractions allow you to plot values between whole numbers and integers.
octagon
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
diameter

16. An angle that measures 90 degrees
Converting mixed numbers to improper fractions.
right angle
area
mean

17. The numerator of the fraction part of the mixed number is the remainder from the
Even or Non-Int
quotient
Revenue ($) - Cost ($)
similar figures

18. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
Sale Price - Unit Cost
one is positive and the other is negative
percent

19. Unit Profit = ?
Sale Price - Unit Cost
axiom
Axiom IV.
x = (+-) a

20. The figure formed when two rays meet at a common endpoint called a vertex.
Odd
prime factorization
angle
mean

21. A self-evident statement - that is - one that does not need to be demonstrated.
both integers are positive or both are negative
product
axiom
Subtracting Signed Integers

22. Are those things collected in a whole.
trapezoid
axiom
Parts
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

23. A triangle with sides of different lengths and no two angles are the same
One... the number 2
scalene triangle
Shift DP 2 places left
Increases the value.

24. Factors may be multiplied in any order.
commutative law of multiplication
the Complement of that part to the whole
Converting mixed numbers to improper fractions.
prism

25. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
y-axis
like fractions
2^3 = 8

26. Two numbers are said to be equal (=) when they are at
the same point on the number line
octagon
polygon
The Decimal Numbering System

27. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
The bottom side of the triangle
x-coordinate
farther to the left on the number line
UnitPrice ($/unit) x Qty.Purchas'd (units)

28. A number that is a multiple of all denominators in a problem.
like fractions
Odd
common denominator
0.625

29. Is the opposite of raising fractions to higher terms.
Reducing fractions
Unknown quantities
whether the addends have the same sign or opposite signs
complementary angles

30. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Long Division
inverse
Odd or Non-Int
complementary angles

31. When the factors of a number are all prime numbers - the factors are said to be the
Unknown quantities
right angle
prime factors
x-coordinate

32. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
Being divided by a power of 10
When numbers do not divide evenly
probability

33. Any value divided by one
Adding negative integers will always produce a negative sum
Axiom III.
Is equal to the original value
Power notation

34. In a division problem - the number that an amount is divided by
integers
How the Last Digit Shortcut works
divisor
x-coordinate

35. The denominator of the fraction part of the mixed number is
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
right angle
Sale Price - Unit Cost
the denominator of the original improper fraction

36. A number is increased by 25%... what must you reduce the new number by to get the old number again?
Odd
Zero (0)
proportion
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

37. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Terminating decimal
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Fractions allow you to plot values between whole numbers and integers.
The Ratio of Any two of the following: Original - Change and New

38. Percent Decrease Formula ?
Axiom VIII.
numerator
numerator
Original x (1 - x/100) = New

39. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
1
Step 1 of Converting Improper Fractions to Mixed Numbers
Relative multitude
The concept of trading decimal places and how it works

40. A number with only two factors: the number itself and one.
Shift DP 2 places left
rate
Even and Odd
prime number

41. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
The rule for adding negative integers is the same as the rule for adding positive integers:
mixed fraction
commutative law of multiplication

42. 5/8 --> Decimal ?
When you are absolutely sure the variable or expression <> 0
difference
0.625
diameter

43. A value such as 6^3 can described as

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44. The result of the division called the
Some integer/Some Power of 10
quotient
range
Axiom IX.

45. Zero divided by any whole number (except 0)
Is zero
vertex (vertices - plural)
equilateral triangle
Decreases

46. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
equal to itself.
radius
Even or Non-Int
To square an equation to solve it

47. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
How the Last Digit Shortcut works
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
congruent
Even

48. Profit = ?
The rule for adding negative integers is the same as the rule for adding positive integers:
referred to Unity in the same way
Revenue ($) - Cost ($)
Odd

49. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom V.
Some integer/Some Power of 10
Axiom IX.
quotient

50. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
Odd
farther to the right on the number line.
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?
like fractions