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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. When the product in the 1's column is greater than 9
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2. The difference between the least and greatest values in a set of numbers
1 - (y/100)
Zero multiplied by any value
range
Even
3. 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
Converting Improper Fractions to Mixed Numbers
denominator
2^3 = 8
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
4. 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.
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?
The Decimal Numbering System
trapezoid
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
5. By the last letters (u - x - y - etc.)
reduced fraction
'five squared'
rectangle
Known quantities
6. A number is increased by 25%... what must you reduce the new number by to get the old number again?
0
reduced 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
contains only a single number
7. A fraction with a numerator that is larger than or equal to its denominator.
The Ratio of Any two of the following: Original - Change and New
Relative multitude
Axiom IX.
improper fraction
8. An angle measuing more than 0 degrees and less than 90 degrees
lowercase Variables
Step 1 of Converting Improper Fractions to Mixed Numbers
acute angle
Terminating decimal
9. To make a fraction easier to work with by taking out common factors
simplify
Decreases
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
y-axis
10. A triangle with sides of different lengths and no two angles are the same
scalene triangle
To make sure to solve for Both cases.
pentagon
When the addends have opposite signs one is + and the other is -
11. A triangle that has three equal sides and three equal angles
When the addends have opposite signs one is + and the other is -
equilateral triangle
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
The sum of all the integers from 20 to 100 - inclusive
12. The action of the mind whereby a quantity is measured by Unity or a Unit.
radius
Increases the value.
quadrant
Computation
13. Method: convert Percent to Decimal?
mode
Shift DP 2 places left
Known quantities
multiplier
14. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
percent
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
15. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
from left to right
vertex (vertices - plural)
fraction or broken number
mean
16. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
'six cubed'
Inserting a zero at the right end of a whole number
circumference
straight angle
17. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Decimals/Percents
Odd
Both
pi
18. Two angles whose sum equals 90 degrees.
right triangle
Inserting a zero at the right end of a whole number
sum
complementary angles
19. Any value divided by one
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
Is equal to the original value
supplementary angles
20. The vertical number line of a coordinate graph
y-axis
To add integers that have the same sign (both positive or both negative):
from left to right
exponent
21. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
whether the addends have the same sign or opposite signs
vertex (vertices - plural)
To add integers that have the same sign (both positive or both negative):
Axiom VII.
22. A quadrilateral with two pairs of congruent - parallel sides
quadrant
parallelogram
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
2^3 = 8
23. The lower number in a fraction is the
denominator
Odd
farther to the left on the number line
prism
24. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Odd
y-coordinate
unit ratio
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
25. A number that is a multiple of all denominators in a problem.
Adding negative integers will always produce a negative sum
common denominator
Unity - or a Unit
mixed fractions
26. 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.
polygon
The bottom side of the triangle
Even
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
27. The result of the multiplication is called the
Parts
product
proportion
improper fraction
28. A quadrilateral with one pair of parallel sides
base
The rule for adding negative integers is the same as the rule for adding positive integers:
trapezoid
difference
29. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Unit Price x Qty. Sold
Carry the 10's digit of the product to the top of the 10's column of factors.
When the addends have opposite signs one is + and the other is -
Converting Improper Fractions to Mixed Numbers
30. The vertical number line of a coordinate graph
Line Segments
To add integers that have the same sign (both positive or both negative):
y-axis
dividend
31. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Axiom IX.
cubed
polygon
denominator
32. An evenly-spaced set is fully-defined if what is known...?
Is equal to the original value
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
33. 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
Decimals/Percents
Is equal to the original value
quadrilateral
Odd
34. A comparison of the two values of two numbers
Quantity is expressed
sum
ratio
exponent
35. Factors may be multiplied in any order.
commutative law of multiplication
referred to Unity in the same way
Relative multitude
The Ratio of Any two of the following: Original - Change and New
36. Basic Number Properties and elementary operations.
Number Systems
area
mean
composite number
37. Rules that tell which steps to follow when solving an expression.
product
order of operations
quotient
Axiom III.
38. The Sum of n consecutive integers is Not divisible by n if n is
denominator
Even
Unit Price x Qty. Sold
polygon
39. A triangle with two equal sides and two equal angles
isosceles triangle
parallel lines
Step 2 of Converting mixed numbers to improper fractions
reduced fraction
40. Any number with a negative exponent
equal to 1 divided by that number with a positive exponent
Whole Numbers
A = (Diagonal1 x Diagonal2) / 2
When to use fractions
41. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
area
The Decimal Numbering System
To add integers that have the same sign (both positive or both negative):
42. 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.
octagon
combination of addition and subtraction
Inserting a zero at the left end of a whole number
quotient
43. Indicates the number of times the base is to be multiplied
exponent
common denominator
congruent
like fractions
44. The whole is equal to all of its parts taken together.
Axiom V.
scalene triangle
complementary angles
Odd
45. A line segment that passes through the center of a circle and has its endpoints on the circle
roots of numbers
diameter
numerator
To add integers that have the same sign (both positive or both negative):
46. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
1 - (y/100)
Axiom IX.
when there are explicit or implicit equations in the problem:
47. Sale Price = ?
More
Unit Cost + Markup
Always completed first
greatest common factor (GCF)
48. A ratio that shows the cost per unit of measure
order of operations
supplementary angles
Reducing by the Largest Common Factor (LCF)
unit ratio
49. A value such as 5^2 can be called
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50. A parallelogram with four right angles
To add integers that have opposite signs:
rectangle
product
Is zero