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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 distance around a circle (the perimeter of a circle)
proportion
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
circumference
Positive-value integers

2. A sign of grouping can be omitted when it
hexagon
Negative-value integers
contains only a single number
obtuse angle

3. The absolute value of numbers is indicated by
Even
To add integers that have opposite signs:
enclosing the numbers in a pair of vertical lines | |
y-coordinate

4. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
scalene triangle
squared
To add integers that have opposite signs:
Same units

5. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Aliquot Part
area
change the operation from subtraction to addition
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.

6. What is an evenly-spaced set?
Even or Non-Int
Equal
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Converting Improper Fractions to Mixed Numbers

7. The result of dividing one number by another; the solution to a division problem
Step 1 of Converting Improper Fractions to Mixed Numbers
Inserting a zero at the left end of a whole number
quotient
circumference

8. A polygon with six sides.
hexagon
Magnitude
probability
Terminating decimal

9. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
Alternative to the algebraic manipulation method to solving a VIC
Axiom X.
y-coordinate

10. The greater any number is in comparison to another - the more equal parts will it contain of that other.
acute angle
Axiom IX.
mean
product

11. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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12. An angle that measures 180 degrees
Unit Price x Qty. Sold
Wage Rate ($ per hr) x Hrs worked
Even
straight angle

13. Is the disagreement of things in Quantity.
scalene triangle
quotient
Odd
Inequality

14. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Any value multiplied by one
probability
Multitude
obtuse angle

15. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
the denominator of the original improper fraction
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
When the addends have the same sign both + or both -
least common multiple (LCM)

16. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Sum of Interior Angles of a Polygon: (n - 2) x 180
sample
Step 2 of Converting mixed numbers to improper fractions
Step 2 of Converting Improper Fractions to Mixed Numbers

17. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Absolute and Relative
There are two parts in the procedure for subtracting signed integers:
exactly the same portion

18. The Only possible factors for a prime number are
right triangle
A = (D1 x D2) / 2
Any value multiplied by one
1 and itself

19. The number doing the dividing is called the
A = (Base x Height) / 2 - A = (BH)/2
Even - Odd or Non-Int
Some integer/Some Power of 10
divisor

20. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
lowercase letters
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?
Inserting a zero at the right end of a whole number
Revenue ($) - Cost ($)

21. A statement that needs to be demonstrated and is called in Latin demonstrandum.
quotient
Is zero
lowercase letters
theorem

22. The amount that remains after one number has been subtracted from another
x-axis
difference
A plus sign (+) is used for two entirely different purposes:
Step 2 of Converting mixed numbers to improper fractions

23. The sum of a group of numbers divided by the number of numbers. Also known as the average.
rectangle
Number Systems
mean
equal to 1

24. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
right triangle
order of operations
1
Inserting a zero at the left end of a whole number

25. Species of Quantities are signified by
Reducing fractions
parallelogram
the Complement of that part to the whole
lowercase letters

26. Odd / Even = ? e.g. 9/6 = 1.5
When the addends have the same sign both + or both -
Non-Int
When numbers do not divide evenly
1

27. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
hexagon
Long Division
polygon
pyramid

28. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
proportion
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
dividend

29. 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
pyramid
prime factors
When to use the Heavy Division Shortcut - and how to do it
Increases the value.

30. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
mixed number
factoring
multiplicand

31. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
Terminating decimal
Percent Decrease Formula
median

32. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
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
Mathematics
Parts

33. A combination of numbers and variables connected by one or more operations signs
mode
expression
composite number
lowercase Variables

34. Is Always perpendicular (at 90 deg. to) the base!
Proof
The height of a triangle
One... the number 2
square unit

35. A whole number that has only one set of factors - itself and 1.
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?
prime number
range
from left to right

36. A quadrilateral with two pairs of congruent - parallel sides.
To add integers that have the same sign (both positive or both negative):
complementary angle
parallelogram
factoring

37. When the factors of a number are all prime numbers - the factors are said to be the
Sum of Interior Angles of a Polygon: (n - 2) x 180
prime factors
prime factorization
before solving

38. The ratio of a number to 100 (per one hundred); the symbol %
When the addends have the same sign both + or both -
percent
Non-Int
Inserting a zero at the left end of a whole number

39. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
Reducing fractions
simplify
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.
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

40. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
hexagon
equal to itself.
inverse operations
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.

41. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
Quantity
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
quadrilateral

42. In a group of values - the value that occurs most often.
percent
Sum of Interior Angles of a Polygon: (n - 2) x 180
factor
mode

43. The result of muliplying two or more numbers
proper fraction
Axiom II.
product
The rule for adding negative integers is the same as the rule for adding positive integers:

44. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
Being divided by a power of 10
Known quantities
proper fraction

45. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The rule for adding negative integers is the same as the rule for adding positive integers:
A = (Diagonal1 x Diagonal2) / 2
1 and itself
(Last - First + 1)

46. A quadrilateral with two pairs of congruent - parallel sides
radius
mixed number
parallelogram
Sale Price - Unit Cost

47. A parallelogram with four right angles
rectangle
divisor
Odd
1

48. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Even
Axiom I.
range
Axiom VI.

49. In order to understand and use exponents that are fractions or decimals - you must first know about
Revenue ($) - Cost ($)
greatest common factor (GCF)
roots of numbers
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

50. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Inserting a zero at the left end of a whole number
Terminating decimal
Wage Rate ($ per hr) x Hrs worked
Aliquot Part