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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. Invert (turn upside down) the second fraction and multiply; reduce if necessary.
Dividing fractions
3/8 =
Words that signal an operation
Adding and subtracting decimals
2. 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
1 yard (in feet - inches)
Words that signal an operation
Adding and subtracting decimals
Prime number
3. 1/30 ounce
Square (verb)
1 gram (in ounces)
Rational numbers
Changing a mixed number to an improper fraction
4. 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
Multiplicative inverse
Customary/English system of units
1 square foot (in square inches)
Identity number
5. A fraction whose numerator is smaller than its denominator; has a value less than 1.
Reducing when multiplying fractions
Customary/English system of units
Common fraction
Decimals
6. Sum - plus - is increased by - more than (example: 3 more than 7 is what?)
1 kilometer (in miles)
Addition
Adding mixed numbers
Adding signed numbers
7. 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.
Other applications of a percent
Decimals
1 meter (in yards)
Adding fractions
8. 4/10 = .4 = .40 = 40%
Identity number for addition
Rounding off
2/5 =
Communicative property for multiplication
9. .375 = .37 1/2 = 37 1/2%
Square root
3/4 =
3/8 =
Approximating square roots
10. .875 = .87 1/2 = 87 1/2%
1 yard (in feet - inches)
Changing decimals to fractions
||
7/8 =
11. To round off any number: Underline the place value to which you're rounding off - Look to the immediate right (one place) of your underlined place value - Identify the number (the one to the right). If it is 5 or higher - round your underlined place
Rounding off
Subtracting fractions
?
=
12. 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
||
Square numbers
Subtracting signed numbers
Communicative property
13. Divide the percent by 100 - Eliminate the percent sign - Reduce if necessary
Subtracting signed numbers
Communicative property for multiplication
Fractions
Changing percents to fractions
14. .16 2/3 = 16 2/3%
Communicative property
1/6 =
1/4 =
Subtraction
15. ...-3 - -2 - -1 - 0 - 1 - 2 - 3... all the whole numbers together with their opposites
1 liter (in quarts)
1 gallon (in quarts)
Integers
7/8 =
16. Find the LCD and add the whole numbers to get your final answer.
Adding mixed numbers
Communicative property for multiplication
Multiplying or dividing signed numbers
Changing decimals to percents
17. 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
Common fraction
1 yard (in feet - inches)
Adding and subtracting decimals
1/100 =
18. 1.1 yards
Order of operations
Changing percents to fractions
1 meter (in yards)
1/100 =
19. Find the LCD and subtract the numerators.
Identity number for addition
Rational numbers
Rounding off
Subtracting fractions
20. The multiplicative inverse of a number (also known as the reciprocal of the number) is a value that - when multiplied with any non -zero number - equals 1. Any non -zero number multiplied with its multiplicative inverse equals 1. The multiplicative i
Adding fractions
Multiplicative inverse
Integers
Exponent
21. Any value that exists but is not rational
1 square foot (in square inches)
Number line
Square root rules: addition and subtraction
Irrational numbers
22. When the place value name ends with a 'ths -' it is an indication of being a fraction.
Composite number
Place value
9/10 =
||
23. Multiply the whole number by the denominator - add the numerator - and then place that value over the denominator
Associative property for addition
Perfect square
Changing a mixed number to an improper fraction
1 gallon (in quarts)
24. Multiply the numerators - multiply the denominators - and reduce to lowest terms if possible
1 pint (in cups)
Additive inverse
2/3 =
Multiplying fractions
25. First change all the denominators to their least common multiple (LCM) - which in fractions is known as the least common denominator (LCD). This value is the least positive value that all the denominators will divide into without a remainder.
Adding fractions
Percentage increase or decrease
Distributive property
Identity number for multiplication
26. A(bc) = (ab)c Note: Division does not have the associative property.
Associative property for multiplication
Subtraction
1 pound (in ounces)
Cube numbers
27. Two numbers multiplied under a radical (square root) sign equal the product of the two square roots - and likewise with division.
Mixed number
Square root rules: multiplication and division
4/5 =
||
28. 0. Any number added to 0 gives that number
1 =
Identity number for addition
Changing decimals to percents
Approximating square roots
29. Milli = 1/1000 centi = 1/100 deci = 1/10 basic unit (meter - liter - gram) = 1 deca = 10 hecto = 100 kilo = 1000
Communicative property for addition
Metric system prefixes
=
Changing decimals to percents
30. If either numerator or denominator consists of several numbers - these numbers must be combined into one number - then reduce if necessary
Simplifying fractions
Changing a mixed number to an improper fraction
Distributive property
Dividing decimals
31. Multiply by 100 - Insert a percent sign
Changing fractions to percents
1/4 =
Division
Percentage increase or decrease
32. 1.1 quarts
Volume (metric system)
1 liter (in quarts)
Square root
Decimals
33. .83 1/3 = 83 1/3%
Signed numbers
5/6 =
Subtracting signed numbers
3 1/2 =
34. Communicative property - Associative property - Distributive property
Composite number
1 metric ton (in kilograms)
Subtraction
Some properties/axioms of addition and multiplication
35. About 0.6 mile
Adding fractions
1 kilometer (in miles)
Square root rules: multiplication and division
1 bushel (in pecks)
36. A number in scientific notation is written as a rational number from 1 to 9 - and then multiplied by a power of 10
1 pint (in cups)
Multiplicative inverse
Percentage increase or decrease
Scientific notation
37. 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
Cube numbers
Square root rules: addition and subtraction
=
Integers
38. Ab = ba Note: Division does not have the communicative property.
Real numbers
Communicative property for multiplication
=
2/3 =
39. 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
Adding signed numbers
Rational numbers
Identity number for addition
Metric/international system of units
40. Factor the number into two numbers - one (or more) of which is a perfect square - Take the square root of the perfect square(s) - Leave the others under the v
Dividing fractions
1/3 =
Simplifying square roots
Irrational numbers
41. 75/100 = .75 = 75%
Metric/international system of units
Perfect square
3/4 =
4/5 =
42. 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.
Adding and subtracting decimals
Natural numbers
Subtracting mixed numbers
Improper fraction
43. Change the percent to a fraction or decimal and multiply
||
Square (verb)
<
Finding percent of a number
44. 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)
Square (verb)
Number line
Volume (metric system)
Subtraction
45. .01 = 1%
Division
Weight (metric system)
1/100 =
Rational numbers
46. The square of a whole number
Identity number
Square root
3/4 =
Perfect square
47. .125 = .12 1/2= 12 1/2%
1/8 =
1/5 =
1/2 =
Place value
48. .33 1/3 = 33 1/3%
>
1/3 =
Parentheses
Dividing fractions
49. Eliminate the percent sign - Move the decimal point two places to the left (sometimes adding zeros will be necessary)
Reducing when multiplying fractions
>
Changing percents to decimals
Perfect square
50. 12 inches
Words that signal an operation
Subtracting fractions
>
1 foot (in inches)