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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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Subjects
:
clep
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
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.
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. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
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
Whole Numbers
supplementary angles
A sum of 2 primes is Odd
2. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
radius
right triangle
Step 1 of Converting Improper Fractions to Mixed Numbers
dividend
3. The two kinds of parts
Even
Aliquot and Aliquant Parts
A = (D1 x D2) / 2
To add integers that have the same sign both positive or both negative:
4. Two angles whose sum is 180 degrees
the Complement of that part to the whole
quadrilateral
octagon
supplementary angles
5. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
pyramid
Even or Non-Int
Even
y-coordinate
6. In a group of values - the value that occurs most often.
mode
Percent Change
1 - (y/100)
Negative-value integers
7. 3/2 - 8/3 - -16/5 - 7/7
quadrilateral
improper fractions
vertex (vertices - plural)
median
8. The whole-number part of the mixed number is the whole-number part of the
complementary angles
quotient
right triangle
Some integer/Some Power of 10
9. 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
Subtracting Signed Integers
mean
x-coordinate
one is positive and the other is negative
10. The smallest multiple that two or more numbers have in common
scale drawing
To add integers that have the same sign both positive or both negative:
least common multiple (LCM)
dividing the numerator and denominator by the same number
11. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Equality
hexagon
higher terms
To add integers that have opposite signs:
12. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
Increases the value.
Shift DP 2 places right
Revenue ($) - Cost ($)
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.
scale drawing
before solving
Mathematics
the Complement of that part to the whole
14. A self-evident statement - that is - one that does not need to be demonstrated.
Fractions allow you to plot values between whole numbers and integers.
axiom
Even div. by 4
2 and/or 5 only
15. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
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.
percent
Terminating decimal
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
16. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
'six cubed'
prime number
Any value multiplied by one
17. Adding integers that have the same sign means
composite number
inverse operations
both integers are positive or both are negative
Inequality
18. The numerator of the fraction part of the mixed number is the remainder from the
Species
combination of addition and subtraction
equilateral triangle
quotient
19. A parallelogram with four right angles
rectangle
Sale Price - Unit Cost
Percent Decrease Formula
like fractions
20. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
radius
Quantity
median
parallel lines
21. Two or more fractions that have the same denominator
product
One... the number 2
like fractions
Always completed first
22. The ratio of a number to 100 (per one hundred). The symbol %
mixed number
percent
roots of numbers
right triangle
23. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
fraction or broken number
vertex (vertices - plural)
mixed number
24. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
scalene triangle
median
polygon
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
25. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
2
prism
Step 2 of Converting mixed numbers to improper fractions
y-coordinate
26. The difference between the least and greatest values in a set of numbers
range
0
Proof
scalene triangle
27. A solid figure with two congruent and parallel circular bases
62.5%
expression
cylinder
product
28. Signs of grouping may be nested
Some integer/Some Power of 10
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
like fractions
1
29. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
scale drawing
reciprocal
inverse operations
Change / Original Formula?
30. The number being multiplied is called the
multiplicand
Unknown quantities
x/100
When to use the Heavy Division Shortcut - and how to do it
31. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
Change + - Original = New
Carry the 10's digit of the product to the top of the 10's column of factors.
Odd
The sum of all the integers from 20 to 100 - inclusive
32. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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33. A triangle with sides of different lengths and no two angles are the same
Revenue ($) - Cost ($)
scalene triangle
Axiom X.
A minus sign ( - ) is used for two entirely different purposes:
34. 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
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
improper fraction
product
35. An equation stating that two ratios are equal
improper fractions
x = (+-) a
(Last - First + 1)
proportion
36. Everything may be assumed as unity.
Increases the value.
mixed fraction
Odd
Axiom I.
37. What are the 2 'percent change' equations?
divisor
product
Original + Change = New Change/Original = Percent Change
Aliquot and Aliquant Parts
38. A number that is a multiple of all denominators in a problem.
Sale Price - Unit Cost
improper fractions
divisor
common denominator
39. A polygon with six sides.
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
Different Units
(Last - First + 1)
hexagon
40. The vertical number line of a coordinate graph
Non-Int
0
Axiom X.
y-axis
41. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Some integer/Some Power of 10
diameter
ratio
probability
42. In a division problem - it's the number being divided
Sale Price - Unit Cost
Wage Rate ($ per hr) x Hrs worked
dividend
the Complement of that part to the whole
43. A mathematical sentence that uses an equal sign
equation
greatest common factor (GCF)
Unit Price x Qty. Sold
Magnitude
44. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
2
mode
exponent
rectangle
45. Where do fractions occur on a number line?
common denominator
Fractions allow you to plot values between whole numbers and integers.
dividing the numerator and denominator by the same number
Line Segments
46. The result of the division called the
Adding negative integers will always produce a negative sum
The sum of all the integers from 20 to 100 - inclusive
quotient
Equal
47. All the positive whole numbers
Mathematics
product
pentagon
integer values
48. One number is said to be less than (<) another when it is
A = (Base x Height) / 2 - A = (BH)/2
multiplicand
farther to the left on the number line
congruent
49. The result of muliplying two or more numbers
product
Wage Rate ($ per hr) x Hrs worked
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
farther to the left on the number line
50. A polygon that has four sides
quadrilateral
Power notation
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
parallelogram
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