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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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 statement that needs to be demonstrated and is called in Latin demonstrandum.
Original + Change = New Change/Original = Percent Change
quotient
integers
theorem
2. Includes an integer as well as a fractional part
Absolute and Relative
A minus sign ( - ) is used for two entirely different purposes:
mixed fraction
equal to 1
3. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Relative multitude
0.625
exponent
Sale Price - Unit Cost
4. What is the formula forCounting consecutive integers?
(Last - First + 1)
Axiom III.
greatest common factor (GCF)
right triangle
5. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
complementary angles
Even
When the addends have the same sign both + or both -
square unit
6. An eight-sided polygon
the Complement of that part to the whole
octagon
difference
quotient
7. The method for indicating the power of a number
inverse
Unit Cost + Markup
1
Power notation
8. A mirror image of a figure shown over a line of reflection
reflection
To convert any fraction to higher terms
0.625
angle
9. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
radius
2^3 = 8
the Complement of that part to the whole
Sale Price - Unit Cost
10. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
parallelogram
Some integer/Some Power of 10
numerator
Even
11. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
When the addends have the same sign both + or both -
range
lowest terms
squared
12. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
right angle
reciprocal
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
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
13. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
Step 1 of Converting mixed numbers to improper fractions
referred to Unity in the same way
reduced fraction
14. The result of dividing one number by another; the solution to a division problem
1
Number Systems
quotient
Axiom IX.
15. In a group of values - the value that occurs most often
1 and itself
Positive-value integers
angle
mode
16. Every lesser number is contained in a greater more than once.
Axiom VIII.
1
prime factors
When to use the Heavy Division Shortcut - and how to do it
17. Is the disagreement of things in Quantity.
Inequality
Negative-value integers
prime factors
Different Units
18. A parallelogram with all sides equal and congruent
Axiom VI.
rhombus
reduced fraction
1
19. The upper number in a fraction is the
factoring
Odd or Non-Int
obtuse angle
numerator
20. Species and Number may be
When you are absolutely sure the variable or expression <> 0
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Homogenous or Heterogenous
percent
21. A parallelogram with four right angles
rectangle
common factor
Unity - or a Unit
Positive-value integers
22. A number is increased by 25%... what must you reduce the new number by to get the old number again?
proper 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
Odd
Even
23. Method: convert Percent to Decimal?
Shift DP 2 places left
Zero (0)
To make sure to solve for Both cases.
product
24. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
median
x/100
cross product
25. The distance around a figure.
right triangle
composite number
Always completed first
perimeter
26. Indicates the number to be multiplied
Species
simplify
base
Greater
27. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
greatest common factor (GCF)
radius
from left to right
sample
28. The result of the division called the
quotient
mode
Aliquot and Aliquant Parts
The bottom side of the triangle
29. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
referred to Unity in the same way
Evaluating Powers With Negative Exponents
y-axis
Unity - or a Unit
30. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Computation
one is positive and the other is negative
scalene triangle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
31. A whole number that has only one set of factors - itself and 1.
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
prime number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
diameter
32. Factors may be multiplied in any order.
prime factors
Parts
prime factorization
commutative law of multiplication
33. Unit Profit = ?
exactly the same portion
Sale Price - Unit Cost
The Ratio of Any two of the following: Original - Change and New
equivalent
34. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
polygon
vertex (vertices - plural)
integer or whole number
prism
35. One of the four regions formed by the intersection of the axes of a coordinate graph
prime number
mixed fraction
quadrant
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.
36. Any number with an exponent of 1
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
common denominator
equal to itself.
rectangle
37. A number that is not a prime number is called a
Some integer/Some Power of 10
composite number
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
A = (Base x Height) / 2 - A = (BH)/2
38. Method: convert Decimal to Percent?
0.625
There are two parts in the procedure for subtracting signed integers:
Shift DP 2 places right
Non-Int
39. Two angles whose sum is 180 degrees
complementary angles
Zero multiplied by any value
supplementary angles
denominator
40. 1/2 - 1/3 - 2/3 - -5/8
from left to right
Equal
proper fractions
quadrant
41. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
improper fraction
equivalent
putting that number over 1
Converting Improper Fractions to Mixed Numbers
42. The process of breaking a number down into its factors is called
radius
Axiom I.
factoring
hexagon
43. What is an evenly-spaced set?
A minus sign ( - ) is used for two entirely different purposes:
integers
quotient
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
44. A triangle with two equal sides and two equal angles
base
isosceles triangle
Relative multitude
Even and Odd
45. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
Quantity
Carry the 10's digit of the product to the top of the 10's column of factors.
obtuse angle
Subtracting Signed Integers
46. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Aliquot Part
composite number
composite number
47. The numerator is greater than - or equal to - the denominator
improper fraction
Quantity is expressed
Inequality
circumference
48. 5/8 --> Decimal ?
Even and Odd
prime number
0.625
Even
49. The numerator is smaller than the denominator
quotient
Arithmetic - Music - Geometry and Astronomy
unit ratio
proper fraction
50. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
trapezoid
Even
Subtracting Signed Integers
polygon