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Test your basic knowledge |
CSET Multiple Subjects Subtest 2a Domain 1: Math
Start Test
Study First
Subjects
:
cset
,
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. Consist of two numbers separated by a bar which indicates division: the numerator is above the bar and the denominator is below the bar. Denominator: Tells you into how many equal parts something has been divided. Numerator: Tells you how many of tho
Square numbers
Fractions
Metric/international system of units
Signed numbers
2. 2/10 = .2 = .20 = 20%
1/4 =
1 mile (in yards - feet)
1/5 =
Reducing fractions
3. Multiply by 100 - Insert a percent sign
Changing fractions to percents
?
Adding mixed numbers
Communicative property for addition
4. The results of taking integers and raising them to the 2nd power (squaring them) The first seven positive ___________ are 1 - 4 - 9 - 16 - 25 - 36 - and 49
1/3 =
Square numbers
Communicative property for multiplication
Square root rules: addition and subtraction
5. 0. Any number added to 0 gives that number
Identity number for addition
Mixed number
Distributive property
Communicative property for addition
6. Length (in. - ft. - yd - mi.) - Area (sq. in. - sq. ft. - sq. yd. - acre - sq. mi.) - Weight (oz. - lb. - T) - Capacity (cups - pt. - qt. - gal. - pecks - bushels) - Time (seconds - minutes - hours - days - weeks - months - years - decades - centurie
Irrational numbers
Order of operations
Identity number for addition
Customary/English system of units
7. Any value that exists but is not rational
Irrational numbers
Order of operations
Adding fractions
1 square yard (in square feet)
8. .375 = .37 1/2 = 37 1/2%
=
Associative property for multiplication
Identity number
3/8 =
9. ...-3 - -2 - -1 - 0 - 1 - 2 - 3... all the whole numbers together with their opposites
Integers
Identity number for addition
Reducing fractions
Perfect square
10. To find the square root of a number - you want to find some number that when multiplied by itself gives you the original number
Changing percents to decimals
Square root
Identity number for multiplication
Reducing when multiplying fractions
11. Kiloleter (kl or kL) = 1000 liters hectoliter (hl or hL) = 100 liters decaliter (dal or daL) = 10 liters liter (l or L) = 1 liter deciliter (dl or dL) = 0.1 liter centiliter (cl or cL) = 0.01 liter milliliter (ml or mL) = 0.001 liter
Volume (metric system)
Adding and subtracting decimals
Some properties/axioms of addition and multiplication
1 pound (in ounces)
12. A value that - when added to another number or multiplied with another number - does not change the value of that number
Changing decimals to fractions
Integers
Identity number
4/5 =
13. .3 = .30 = 30%
Order of operations
1 gallon (in quarts)
3/10 =
1 square yard (in square feet)
14. (change/starting point) x 100 = percentage change
=
Identity number for multiplication
Percentage increase or decrease
3/5 =
15. 2 cups
Length (metric system)
1 pint (in cups)
Reducing fractions
Division
16. Multiplication outside parentheses distributing over either addition or subtraction inside parentheses does not affect the answer a(b + c) = ab + ac a(b - c) = ab - ac
1 kilogram (in pounds)
Changing percents to decimals
Number line
Distributive property
17. 8/10 = .8 = .80 = 80%
Changing decimals to fractions
4/5 =
1/10 =
Some properties/axioms of addition and multiplication
18. Numbers to the left of the decimal point are whole numbers; numbers to the right of the decimal point are fractions with denominators of only 10 - 100 - 1000 - 10000 - etc.
Decimals
Communicative property for addition
Subtraction
Subtracting fractions
19. When a value is expressed using a whole number together with a common fraction
Mixed number
1 meter (in yards)
1/3 =
Identity number
20. The grouping - without changing the order - does not affect the answer
3/4 =
Signed numbers
Associative property
Changing percents to decimals
21. 1.1 quarts
1/3 =
Subtracting fractions
Rational numbers
1 liter (in quarts)
22. A fraction whose numerator is smaller than its denominator; has a value less than 1.
Common fraction
?
Multiplying mixed numbers
1/6 =
23. To square a number - multiply it by itself
||
Fractions
Square root rules: addition and subtraction
Square (verb)
24. .66 2/3 = .66 2/3 = 66 2/3%
1 pound (in ounces)
2/3 =
Exponent
Common fraction
25. Used as grouping symbols
Scientific notation
Metric system prefixes
2/3 =
Parentheses
26. .83 1/3 = 83 1/3%
5/6 =
Changing fractions to decimals
Signed numbers
Changing percents to decimals
27. Divide the percent by 100 - Eliminate the percent sign - Reduce if necessary
||
Changing percents to fractions
1 gram (in ounces)
1 mile (in yards - feet)
28. The results of taking integers and raising them to the 3rd power (cubing them) The first seven positive ____________ are 1 - 8 - 27 - 64 - 125 - 216 - and 343
Integers
Cube numbers
Identity number
Natural numbers
29. Is less than or equal to
Subtracting mixed numbers
=
Subtraction
Mixed number
30. Change to an improper fraction and multiply; then change the answer - if in improper form - back to a mixed number and reduce if necessary.
7/10 =
Changing decimals to fractions
Multiplying mixed numbers
1/4 =
31. All values that can be expressed in the form a/b - where a and b are integers and b ? 0 - Or - when expressed in decimal form - the expression either terminates or has a repeating pattern
Associative property for multiplication
Rational numbers
Cube numbers
Addition
32. Numbers to the right of 0 are positive - Numbers to the left of 0 are negative - Given any two numbers on a number line - the one on the right is always larger - regardless of its sign (positive or negative)
Number line
1 quart (in pints)
1/8 =
1/4 =
33. Mnemonic: Please Excuse My Dear Aunt Sally 1. Parentheses 2. Exponents 3. Multiplication or division 4. Addition or subtraction (left to right)
Order of operations
Natural numbers
Metric system prefixes
Number line
34. A natural number greater than 1 that only has 1 and itself as divisors (an alternate definition is a natural number that has exactly two different divisors) - The first seven ________ are 2 - 3 - 5 - 7 - 11 - 13 - and 17
Prime number
||
Multiplicative inverse
Customary/English system of units
35. When the place value name ends with a 'ths -' it is an indication of being a fraction.
2 =
Place value
Identity number for multiplication
Volume (metric system)
36. 1000 kilograms
7/8 =
Square root rules: multiplication and division
Changing a mixed number to an improper fraction
1 metric ton (in kilograms)
37. 9 square feet
1 square yard (in square feet)
Dividing decimals
Rounding off
Subtraction
38. Difference - minus - is decreased by - less than (example: 3 less than 7 is what?)
1/6 =
5/6 =
7/8 =
Subtraction
39. 75/100 = .75 = 75%
1 bushel (in pecks)
9/10 =
>
3/4 =
40. Fraction must be reduced to its lowest terms. This is done by finding the greatest common factor (GCF) for both the numerator and denominator and then dividing both the numerator and denominator by that value.
=
Some properties/axioms of addition and multiplication
Reducing fractions
5/8 =
41. You may have to borrow from the whole number - just like you sometimes borrow from the next column when subtracting ordinary numbers. To subtract a mixed number from a whole number - you have to borrow from the whole number.
Multiplication
Reducing fractions
Subtracting mixed numbers
Subtracting signed numbers
42. Read it - Write it - Reduce it
Changing decimals to fractions
Addition
1 meter (in yards)
3/5 =
43. If either numerator or denominator consists of several numbers - these numbers must be combined into one number - then reduce if necessary
Irrational numbers
3/5 =
Other applications of a percent
Simplifying fractions
44. Is approximately equal to
Adding and subtracting decimals
=
||
45. 1760 yards 5280 feet
Subtracting mixed numbers
1 gallon (in quarts)
1 mile (in yards - feet)
1 meter (in yards)
46. 4 pecks
Adding signed numbers
2 =
1 bushel (in pecks)
Real numbers
47. 3 feet 36 inches
Simplifying fractions
Communicative property for multiplication
1 yard (in feet - inches)
1/8 =
48. 2.00 = 200%
Common fraction
Changing fractions to percents
2 =
Cube numbers
49. Line up the decimal points and then add or subtract in the same manner you would add or subtract regular numbers - Adding in zeros can make the problem easier to work with - Whole numbers can have decimal points to their right
Adding and subtracting decimals
||
Adding fractions
Subtracting signed numbers
50. Milli = 1/1000 centi = 1/100 deci = 1/10 basic unit (meter - liter - gram) = 1 deca = 10 hecto = 100 kilo = 1000
Metric system prefixes
Identity number for multiplication
1/4 =
Associative property for multiplication