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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. Ab = ba Note: Division does not have the communicative property.
Communicative property for multiplication
2 =
1 quart (in pints)
Real numbers
2. Multiply the whole number by the denominator - add the numerator - and then place that value over the denominator
Changing a mixed number to an improper fraction
Changing percents to decimals
Associative property for addition
3. Used as grouping symbols
Reducing fractions
7/8 =
Irrational numbers
Parentheses
4. Multiply as usual - Count the total number of digits above the line which are to the right of all decimal points - Place your decimal point in your answer so there is the same number of digits to the right of it as there was above the line
Length (metric system)
Multiplying decimals
Communicative property
Associative property for addition
5. Find a number that divides evenly into one numerator and one denominator. Reducing early only applies to multiplying fractions - not adding or subtracting.
Integers
Changing fractions to percents
1 kilogram (in pounds)
Reducing when multiplying fractions
6. Is greater than
Communicative property for multiplication
3/10 =
1 bushel (in pecks)
>
7. Divide - Insert decimal points and zeros accordingly
Additive inverse
Changing fractions to decimals
Adding and subtracting decimals
2 =
8. .125 = .12 1/2= 12 1/2%
Approximating square roots
2/5 =
1/8 =
=
9. 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.
Subtracting mixed numbers
Subtracting signed numbers
Adding signed numbers
Changing decimals to percents
10. A(bc) = (ab)c Note: Division does not have the associative property.
Associative property for multiplication
1 square yard (in square feet)
Identity number for multiplication
1 liter (in quarts)
11. (change/starting point) x 100 = percentage change
1 mile (in yards - feet)
Real numbers
1 foot (in inches)
Percentage increase or decrease
12. Multiply by 100 - Insert a percent sign
Adding signed numbers
3/8 =
2/3 =
Changing fractions to percents
13. The order in which addition or multiplication is done does not affect the answer
Division
Changing a mixed number to an improper fraction
Subtracting fractions
Communicative property
14. 2 cups
1 pint (in cups)
1 ton (in pounds)
||
Order of operations
15. To find the square root of a number - you want to find some number that when multiplied by itself gives you the original number
Square root
5/6 =
Approximating square roots
3/10 =
16. 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
Approximating square roots
||
1 mile (in yards - feet)
Fractions
17. Milli = 1/1000 centi = 1/100 deci = 1/10 basic unit (meter - liter - gram) = 1 deca = 10 hecto = 100 kilo = 1000
1/2 =
Composite number
Adding fractions
Metric system prefixes
18. 1/30 ounce
Associative property for addition
1 gram (in ounces)
3 1/2 =
Length (metric system)
19. Change the percent to a fraction or decimal and multiply
Division
1 yard (in feet - inches)
Finding percent of a number
Reducing when multiplying fractions
20. 4 pecks
1 bushel (in pecks)
Simplifying fractions
1 foot (in inches)
Square numbers
21. 4 quarts
Metric/international system of units
1 liter (in quarts)
Changing fractions to decimals
1 gallon (in quarts)
22. The product or quotient of two numbers with the same sign will produce a positive answer - The product or quotient of two numbers with the opposite signs will produce a negative answer
Irrational numbers
Multiplying or dividing signed numbers
Other applications of a percent
Whole numbers
23. 5/10 = .5 = .50 = 50%
Reducing when multiplying fractions
Associative property
1/2 =
=
24. Quotient - ratio - is a part of - goes into (examples: 3 is what part of 15? 4 goes into 28 how many times?)
Rational numbers
Division
Irrational numbers
1 ton (in pounds)
25. .375 = .37 1/2 = 37 1/2%
Associative property
1 metric ton (in kilograms)
Adding signed numbers
3/8 =
26. If either numerator or denominator consists of several numbers - these numbers must be combined into one number - then reduce if necessary
1/6 =
Cube numbers
Simplifying fractions
Dividing decimals
27. 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
Other applications of a percent
Square numbers
Reducing fractions
Mixed number
28. Invert (turn upside down) the second fraction and multiply; reduce if necessary.
Common fraction
1 yard (in feet - inches)
Dividing fractions
Changing fractions to percents
29. .875 = .87 1/2 = 87 1/2%
7/8 =
1/8 =
=
Square root rules: addition and subtraction
30. .83 1/3 = 83 1/3%
2/5 =
Adding signed numbers
9/10 =
5/6 =
31. 2.00 = 200%
Exponent
Percentage increase or decrease
2 =
Multiplying mixed numbers
32. To square a number - multiply it by itself
Multiplying fractions
Changing fractions to percents
Square (verb)
1/10 =
33. Is not equal to
Natural numbers
?
3/8 =
Addition
34. 1 - 2 - 3 - 4 -... the numbers you would naturally count by - 0 is not a natural number.
Natural numbers
Whole numbers
1 liter (in quarts)
7/10 =
35. .33 1/3 = 33 1/3%
Mixed number
1/3 =
Natural numbers
Changing fractions to percents
36. 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
2 =
1 kilogram (in pounds)
Other applications of a percent
Volume (metric system)
37. 3 feet 36 inches
3/8 =
Order of operations
Scientific notation
1 yard (in feet - inches)
38. Change to an improper fraction and multiply; then change the answer - if in improper form - back to a mixed number and reduce if necessary.
Square root
Multiplying mixed numbers
5/8 =
1 kilogram (in pounds)
39. 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
Percentage increase or decrease
Addition
Adding and subtracting decimals
1/3 =
40. .01 = 1%
1/100 =
1 square yard (in square feet)
Square root rules: multiplication and division
2/3 =
41. 25/100 = .25 = 25%
1/4 =
3/8 =
2/3 =
Some properties/axioms of addition and multiplication
42. A number in scientific notation is written as a rational number from 1 to 9 - and then multiplied by a power of 10
Place value
Scientific notation
Square root rules: multiplication and division
Signed numbers
43. Is less than or equal to
=
Weight (metric system)
2/5 =
Metric system prefixes
44. The numbers must be combined under the radical before any computation of square roots may be done
Fractions
Square root rules: addition and subtraction
Prime number
Dividing fractions
45. 1. Any number multiplied by 1 gives that number.
Associative property for addition
Identity number for addition
Customary/English system of units
Identity number for multiplication
46. .3 = .30 = 30%
Rational numbers
3/10 =
2/3 =
Parentheses
47. The same as dividing other numbers - except that if the divisor (the number you're dividing by) has a decimal - move it to the right as many places as necessary until it is a whole number - Move the decimal point in the dividend (the number being div
Dividing decimals
Integers
Cube numbers
Multiplying decimals
48. Length (meter) - Volume (liter) - Weight (gram)
Metric/international system of units
Adding and subtracting decimals
1/6 =
Adding signed numbers
49. 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
Changing decimals to percents
1 ton (in pounds)
Customary/English system of units
1 =
50. 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
1 bushel (in pecks)
Rounding off
Identity number for multiplication
1 pint (in cups)