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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 term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Composite number
Number
common factor
squared
2. 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
complementary angles
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Step 2 of Converting Improper Fractions to Mixed Numbers
product
3. A quadrilateral with one pair of parallel sides
trapezoid
improper fraction
unit ratio
When to use the Heavy Division Shortcut - and how to do it
4. What is the formula forCounting consecutive integers?
Step 2 of Converting Improper Fractions to Mixed Numbers
dividend
(Last - First + 1)
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.
5. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Different Units
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
Being divided by a power of 10
farther to the left on the number line
6. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Power notation
Different Units
Step 2 of Converting mixed numbers to improper fractions
polygon
7. Change + - Original = New
Change / Original Formula?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
perimeter
1
8. The base of a triangle refers to?
Shift DP 2 places left
roots of numbers
The bottom side of the triangle
Every integer between 1 and X - inclusive - must be a factor of X
9. A mirror image of a figure shown over a line of reflection
0
x-axis
like fractions
reflection
10. The greater any number is in comparison to another - the more equal parts will it contain of that other.
scalene triangle
x-axis
Negative-value integers
Axiom IX.
11. Area of a Rhombus is?
radius
Even
A = (D1 x D2) / 2
Even
12. An equation stating that two ratios are equal
scalene triangle
supplementary angles
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?
proportion
13. The whole-number part of the mixed number is the whole-number part of the
Homogenous or Heterogenous
To make sure to solve for Both cases.
prime factorization
quotient
14. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
1 and itself
putting that number over 1
Long Division
product
15. Sale Price = ?
Is equal to the original value
quadrilateral
Unit Cost + Markup
Equality
16. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
like fractions
Negative-value integers
Percent Decrease Formula
Unit Price x Qty. Sold
17. The upper number in a fraction is the
integers
More
Adding negative integers will always produce a negative sum
numerator
18. An angle measuing more than 0 degrees and less than 90 degrees
2^3 = 8
acute angle
product
range
19. The four Mathematical arts are:
proper fraction
y-axis
Arithmetic - Music - Geometry and Astronomy
farther to the left on the number line
20. 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.
integer or whole number
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?
Odd
Odd
21. A whole number that has only one set of factors - itself and 1.
prime number
right angle
quotient
Reducing by the Largest Common Factor (LCF)
22. Two angles whose sum equals 90 degrees
'five squared'
0.625
complementary angle
inverse operations
23. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
cross product
quotient
median
right triangle
24. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
Arithmetic - Music - Geometry and Astronomy
dividing the numerator and denominator by the same number
mixed fractions
perimeter
25. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
equilateral triangle
absolute value
complementary angles
26. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
equation
Negative-value integers
The sum of all the integers from 20 to 100 - inclusive
27. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
A = (Base x Height) / 2 - A = (BH)/2
Homogenous or Heterogenous
1 - (y/100)
Aliquant Part
28. One number is said to be less than (<) another when it is
mixed fractions
farther to the left on the number line
Shift DP 2 places right
integers
29. Change / Original Formula
inverse
Positive-value integers
Reducing by the Largest Common Factor (LCF)
Change + - Original = New
30. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
Parts
Odd or Non-Int
mean
31. A triangle with two equal sides and two equal angles
square unit
factors of the multiplication operation
y-axis
isosceles triangle
32. Every number is contained in itself once.
Even
Axiom VII.
A sum of 2 primes is Odd
rate
33. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
1 and itself
1
exponent
34. A triangle that has three equal sides and three equal angles
Decreases
scale drawing
Absolute and Relative
equilateral triangle
35. Cross-multiply
To find out - easily - if one fraction is bigger than another
the same point on the number line
Even
square unit
36. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
equal to 1
x = (+-) a
angle
Step 1 of Converting mixed numbers to improper fractions
37. For there to be X unique factors of X - what must be true?
( (Last - First) / Increment ) + 1
2
Every integer between 1 and X - inclusive - must be a factor of X
probability
38. The number being multiplied is called the
product
prime factors
multiplicand
ratio
39. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
Carry the 10's digit of the product to the top of the 10's column of factors.
A = (Diagonal1 x Diagonal2) / 2
Multitudes and Magnitudes
40. When working with nested signs of grouping
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
always clear the innermost groups first
Converting mixed numbers to improper fractions.
rate
41. The result of dividing one number by another; the solution to a division problem
quotient
'five squared'
square unit
median
42. A fraction with a numerator that is larger than or equal to its denominator.
integer values
Sale Price - Unit Cost
product
improper fraction
43. The smallest multiple that two or more numbers have in common
similar figures
Fractions allow you to plot values between whole numbers and integers.
least common multiple (LCM)
vertex (vertices - plural)
44. The Only possible factors for a prime number are
1 and itself
Negative-value integers
vertex (vertices - plural)
diameter
45. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
To square an equation to solve it
Even
multiplicand
Aliquot Part
46. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
To add integers that have opposite signs:
commutative law of multiplication
Odd or Non-Int
Axiom III.
47. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
roots of numbers
octagon
'six cubed'
48. Things are Equal in Multitude when they are
5/8
referred to Unity in the same way
from left to right
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
49. A polygon that has four sides
Sale Price - Unit Cost
Both
quadrilateral
Even
50. Any number with an exponent of 1
equal to itself.
divisor
prime number
order of operations