Test your basic knowledge |

CLEP General Mathematics: Arithmetic Basics

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 solid figure with two congruent and parallel circular bases
Absolute and Relative
Sale Price - Unit Cost
1
cylinder

2. 3 ways to solve an absolute value inequality
rhombus
Reducing fractions
scalene triangle
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

3. What are the properties of the diagonals of a Rhombus?
equilateral triangle
proportion
parallelogram
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

4. 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.
Number Systems
When to use the Heavy Division Shortcut - and how to do it
Inserting a zero at the left end of a whole number
Adding negative integers will always produce a negative sum

5. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Axiom VII.
lowercase Variables
To add integers that have opposite signs:
Step 1 of Converting mixed numbers to improper fractions

6. The whole is more or greater than its part.
Axiom IV.
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
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?
Quantity is expressed

7. The two kinds of Multitude
greatest common factor (GCF)
Odd
Absolute and Relative
parallel lines

8. An angle measuring more than 90 degrees and less than 180 degrees
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
obtuse angle
Inequality
1

9. 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
parallel lines
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
There are two parts in the procedure for subtracting signed integers:

10. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Terminating decimal
Being divided by a power of 10
Even and Odd
1 - (y/100)

11. What is the perimeter of a Polygon?
probability
Original x (1 - x/100) = New
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
roots of numbers

12. Change/Original = New
equivalent
congruent
Percent Change
inverse operations

13. 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 the addends have opposite signs one is + and the other is -
Terminating decimal
sample
Reducing fractions

14. The numerator is greater than - or equal to - the denominator
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
Evaluating Powers With Negative Exponents
( (Last - First) / Increment ) + 1
improper fraction

15. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

16. A unit for measuring area
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
vertex (vertices - plural)
octagon
square unit

17. One number is said to be less than (<) another when it is
divisor
farther to the left on the number line
Axiom II.
Percent Change

18. 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.
A = (Base x Height) / 2 - A = (BH)/2
greatest common factor (GCF)
straight angle
Long Division

19. The vertical number line of a coordinate graph
Inserting a zero at the right end of a whole number
Subtracting Signed Integers
Equal
y-axis

20. One of those primes must be the number __ ?
Reducing fractions
Odd
Species
A sum of 2 primes is Odd

21. A polygon with six sides.
Computation
ordered pair
octagon
hexagon

22. Every lesser number is contained in a greater more than once.
Axiom VIII.
Unity - or a Unit
prism
theorem

23. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
Long Division
prime factorization
percent
How the Last Digit Shortcut works

24. The ratio of a number to 100 (per one hundred). The symbol %
percent
complementary angles
right triangle
cross product

25. Multiply both the numerator and denominator by the same integer value.
improper fraction
proportion
vertex (vertices - plural)
To convert any fraction to higher terms

26. For there to be X unique factors of X - what must be true?
exactly the same portion
Every integer between 1 and X - inclusive - must be a factor of X
y-coordinate
right triangle

27. When will a decimal Not terminate and why?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
product
the same point on the number line
diameter

28. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Magnitude
To add integers that have opposite signs:
mixed number
dividend

29. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
factoring
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
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
Even - Odd or Non-Int

30. A triangle with one right angle
prime factors
Wage Rate ($ per hr) x Hrs worked
mean
right triangle

31. ' x percent' = ?
x/100
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
0
x-axis

32. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
vertex (vertices - plural)
Even div. by 4
Unit Price x Qty. Sold
1 and itself

33. Two angles whose sum equals 90 degrees
complementary angle
Carry the 10's digit of the product to the top of the 10's column of factors.
greatest common factor (GCF)
Absolute and Relative

34. What is the only Even prime number?
area
2
More
polygon

35. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Same units
Equality
equivalent
from left to right

36. The horizontal number line of a coordinate graph
x-axis
1 and itself
divisor
Known quantities

37. What is the formula forCounting consecutive integers?
circumference
right angle
(Last - First + 1)
The Ratio of Any two of the following: Original - Change and New

38. The sum of a group of numbers divided by the number of numbers. Also known as the average.
mean
perimeter
Reducing by the Largest Common Factor (LCF)
Original + Change = New Change/Original = Percent Change

39. Are those things collected in a whole.
composite number
Parts
improper fraction
ordered pair

40. Signs of grouping may be nested
Multitudes and Magnitudes
To convert any fraction to higher terms
Unit Cost + Markup
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

41. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
base
mean
enclosing the numbers in a pair of vertical lines | |
The Ratio of Any two of the following: Original - Change and New

42. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Axiom I.
More
When to use fractions

43. 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
radius
Step 2 of Converting Improper Fractions to Mixed Numbers
quotient
product

44. 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.
Percent Decrease Formula
enclosing the numbers in a pair of vertical lines | |
improper fraction
higher terms

45. 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
quadrilateral
The sum of all the integers from 20 to 100 - inclusive
square root
Odd

46. A number that is not a prime number is called a
rectangle
composite number
range
quotient

47. Lines in the same plane that do not intersect. The symbol //
Alternative to the algebraic manipulation method to solving a VIC
Revenue ($) - Cost ($)
Subtracting Signed Integers
parallel lines

48. Is the disagreement of things in Quantity.
The Decimal Numbering System
Greater
Percent Change
Inequality

49. A fraction with a numerator that is larger than or equal to its denominator.
the Complement of that part to the whole
improper fraction
mixed fractions
x-coordinate

50. The numerator of the fraction part of the mixed number is the remainder from the
quotient
When the addends have opposite signs one is + and the other is -
To add integers that have opposite signs:
Same units