Test your basic knowledge |

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
numerator
Some integer/Some Power of 10
Quantity
right triangle

2. A number that is not a prime number is called a
Aliquot Part
Any value multiplied by one
numerator
composite number

3. A unit for measuring area
Composite number
reciprocal
Shift DP 2 places left
square unit

4. Includes an integer as well as a fractional part
Step 2 of Converting Improper Fractions to Mixed Numbers
Quantity is expressed
integers
mixed fraction

5. Rules that tell which steps to follow when solving an expression
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
order of operations
Step 2 of Converting mixed numbers to improper fractions
product

6. All whole numbers (both positive and negative) and zero.
integers
acute angle
Adding negative integers will always produce a negative sum
order of operations

7. A whole number can be expressed as an improper fraction by
1
congruent
pyramid
putting that number over 1

8. A polygon with five sides
quadrilateral
x = (+-) a
pentagon
Fractions allow you to plot values between whole numbers and integers.

9. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
simplify
2
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?
When the addends have the same sign both + or both -

10. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
circumference
axiom
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Odd

11. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
dividend
Odd
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.
x-coordinate

12. A self-evident statement - that is - one that does not need to be demonstrated.
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
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
axiom
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

13. 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
mixed number
absolute value
A = (Diagonal1 x Diagonal2) / 2

14. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
Even
reciprocal
Even div. by 4

15. 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.
Revenue ($) - Cost ($)
range
Aliquant Part
referred to the same Unit

16. What are the 3 main formulaic properties of evenly-spaced sets?
Mathematics
Axiom VII.
Fractions allow you to plot values between whole numbers and integers.
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

17. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
higher terms
To square an equation to solve it
y-coordinate
exponent

18. The horizontal number line of a coordinate graph
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
trapezoid
x-axis
expression

19. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
When numbers do not divide evenly
Axiom VII.
One... the number 2
exponent

20. One of those primes must be the number __ ?
diameter
A sum of 2 primes is Odd
Converting mixed numbers to improper fractions.
mixed fraction

21. Change + - Original = New
mixed number
Change / Original Formula?
Positive-value integers
hexagon

22. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
median
integer values
prism
whether the addends have the same sign or opposite signs

23. The result of multiplying two or more numbers.
inverse operations
product
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
similar figures

24. 1 to any power is equal to
1
difference
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
numerator

25. A quadrilateral with two pairs of congruent - parallel sides
referred to Unity in the same way
parallelogram
Change / Original Formula?
Number

26. Two or more fractions that have the same denominator
quadrilateral
Inequality
like fractions
reciprocal

27. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
y-coordinate
Multitudes and Magnitudes
reciprocal
Change / Original Formula?

28. The absolute value of numbers is indicated by
change the operation from subtraction to addition
Step 1 of Converting Improper Fractions to Mixed Numbers
enclosing the numbers in a pair of vertical lines | |
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

29. 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.
diameter
Increases the value.
Arithmetic - Music - Geometry and Astronomy
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?

30. The total of two or more numbers being added
sum
equal to 1
congruent
polygon

31. A known quantity we refer to as One.
Different Units
Negative-value integers
Unity - or a Unit
sum

32. The ratio of a number to 100 (per one hundred). The symbol %
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.
percent
product
A = (Base x Height) / 2 - A = (BH)/2

33. A comparison of the two values of two numbers
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
ratio
Change / Original Formula?
The concept of trading decimal places and how it works

34. Is the agreement of things in Quanity.
Is equal to the original value
Equality
square root
composite number

35. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
percent
sum
ordered pair

36. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
When you are absolutely sure the variable or expression <> 0
Unit Price x Qty. Sold

37. Profit = ?
Zero multiplied by any value
Revenue ($) - Cost ($)
divisor
Mathematics

38. An evenly-spaced set is fully-defined if what is known...?
When you are absolutely sure the variable or expression <> 0
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
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
A sum of 2 primes is Odd

39. Are those things collected in a whole.
Parts
Subtracting Signed Integers
Axiom VIII.
Unit Cost + Markup

40. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
cross product
Change + - Original = New
1
To convert any fraction to higher terms

41. A Polygon is a closed shape formed by
factoring
factor
Alternative to the algebraic manipulation method to solving a VIC
Line Segments

42. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
divisor
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
Subtracting Signed Integers
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

43. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
integer values
diameter
Even
supplementary angles

44. Multiply both the numerator and denominator by the same integer value.
cross product
To convert any fraction to higher terms
How the Last Digit Shortcut works
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

45. Even X Even = ? ... and is div. by ?
Axiom IV.
quadrilateral
Even div. by 4
The height of a triangle

46. Everything may be assumed as unity.
referred to Unity in the same way
Alternative to the algebraic manipulation method to solving a VIC
When the addends have opposite signs one is + and the other is -
Axiom I.

47. The number doing the dividing is called the
1 and itself
divisor
before solving
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

48. A triangle with one right angle
factoring
right triangle
'six cubed'
divisor

49. A polygon with six sides.
The Decimal Numbering System
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
hexagon
Even

50. The two kinds of parts
obtuse angle
Aliquot and Aliquant Parts
Reducing by the Largest Common Factor (LCF)
pentagon