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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 value such as 6^3 can described as
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2. A mathematical sentence that uses an equal sign
Shift DP 2 places left
Odd
Converting mixed numbers to improper fractions.
equation
3. Having the same size and shape
congruent
The bottom side of the triangle
Power notation
Adding negative integers will always produce a negative sum
4. An angle measuring more than zero degrees and less than 90 degrees
acute angle
Wage Rate ($ per hr) x Hrs worked
scalene triangle
inverse operations
5. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Shift DP 2 places right
proportion
6. 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
equivalent
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
Positive-value integers
sum
7. A polygon with five sides
sample
pentagon
mixed number
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
8. Everything may be assumed as unity.
2
circumference
Axiom I.
supplementary angles
9. The Sum of n consecutive integers is Not divisible by n if n is
one is positive and the other is negative
straight angle
inverse operations
Even
10. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
y-coordinate
Converting Improper Fractions to Mixed Numbers
combination of addition and subtraction
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
11. The Only possible factors for a prime number are
1 and itself
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
x-coordinate
acute angle
12. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
Unknown quantities
numerator
A plus sign (+) is used for two entirely different purposes:
13. Surface space that is measured in square units.
lowercase Variables
Every integer between 1 and X - inclusive - must be a factor of X
area
Power notation
14. When will a decimal Not terminate and why?
equivalent
factoring
similar figures
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
15. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
dividend
proper fractions
isosceles triangle
16. A triangle with two equal sides and two equal angles
reduced fraction
mixed fractions
Is zero
isosceles triangle
17. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Being divided by a power of 10
radius
cubed
Unknown quantities
18. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
roots of numbers
Relative multitude
multiplicand
scalene triangle
19. Indicates the number of times the base is to be multiplied
mixed number
y-coordinate
acute angle
exponent
20. A comparison of the two values of two numbers
ratio
commutative law of multiplication
Zero (0)
To add integers that have the same sign (both positive or both negative):
21. A number is increased by 25%... what must you reduce the new number by to get the old number again?
Step 2 of Converting Improper Fractions to Mixed Numbers
Step 2 of Converting mixed numbers to improper fractions
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
Axiom VI.
22. Reversed position or direction
y-coordinate
x-axis
obtuse angle
inverse
23. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
mean
denominator
isosceles triangle
Odd
24. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
prime factors
equilateral triangle
composite number
25. The denominator of the fraction part of the mixed number is
1 and itself
( (Last - First) / Increment ) + 1
parallelogram
the denominator of the original improper fraction
26. Two numbers are said to be equal (=) when they are at
the same point on the number line
acute angle
reduced fraction
quotient
27. The number doing the dividing is called the
divisor
supplementary angles
theorem
x-coordinate
28. A number with an exponent of 2 is often said to be
Reducing fractions
Is equal to the original value
improper fractions
squared
29. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Inserting a zero at the right end of a whole number
Being divided by a power of 10
Percent Decrease Formula
Number Systems
30. All whole numbers (both positive and negative) and zero.
integers
octagon
simplify
rhombus
31. A triangle with one right angle
right triangle
scalene triangle
Percent Decrease Formula
The Ratio of Any two of the following: Original - Change and New
32. By the first letters of the alphabet (a - b - c - d - etc..)
enclosing the numbers in a pair of vertical lines | |
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
Unknown quantities
Alternative to the algebraic manipulation method to solving a VIC
33. An angle that measures 90 degrees
Negative-value integers
right angle
When the addends have opposite signs one is + and the other is -
Adding negative integers will always produce a negative sum
34. What are the rules for picking numbers in VICS?
Homogenous or Heterogenous
the same point on the number line
Is equal to the original value
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
35. 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.
To add integers that have opposite signs:
higher terms
Odd or Non-Int
probability
36. The result of the division called the
least common multiple (LCM)
exactly the same portion
Is zero
quotient
37. Is equal to zero. 0 x a = 0
Even or Non-Int
Zero multiplied by any value
diameter
Axiom I.
38. A comparison of the two values of two numbers
scale drawing
pentagon
ratio
complementary angle
39. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
Whole
combination of addition and subtraction
absolute value
square root
40. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
x-axis
Even
Original x (1 - x/100) = New
order of operations
41. The two kinds of parts
Aliquot and Aliquant Parts
like fractions
Shift DP 2 places right
Equal
42. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
proper fraction
denominator
A = (D1 x D2) / 2
Quantity
43. The distance around a figure.
perimeter
improper fractions
combination of addition and subtraction
Whole Numbers
44. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When to use the Heavy Division Shortcut - and how to do it
x-axis
When the addends have opposite signs one is + and the other is -
mode
45. The total of two or more numbers being added
Even div. by 4
parallel lines
Wage Rate ($ per hr) x Hrs worked
sum
46. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
mode
Axiom X.
improper fraction
common factor
47. The terms Species and Number
Quantity is expressed
Number Systems
least common multiple (LCM)
Original x (1 - x/100) = New
48. The whole-number part of the mixed number is the whole-number part of the
simplify
quotient
How the Last Digit Shortcut works
factors of the multiplication operation
49. A self-evident statement - that is - one that does not need to be demonstrated.
congruent
axiom
Axiom III.
More
50. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
rectangle
Axiom X.
fraction or broken number
Adding negative integers will always produce a negative sum