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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. 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.
Changing an improper fraction to a whole or mixed number
Finding percent of a number
Adding fractions
Subtracting fractions
2. Ab = ba Note: Division does not have the communicative property.
Communicative property for multiplication
Subtracting mixed numbers
1 metric ton (in kilograms)
Metric/international system of units
3. Multiply the numerators - multiply the denominators - and reduce to lowest terms if possible
Simplifying square roots
Finding percent of a number
7/10 =
Multiplying fractions
4. 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
Scientific notation
Distributive property
1/4 =
4/5 =
5. Positive numbers and negative numbers
Signed numbers
Additive inverse
=
1 pint (in cups)
6. Divide the percent by 100 - Eliminate the percent sign - Reduce if necessary
Changing percents to fractions
1 bushel (in pecks)
Rounding off
Simplifying square roots
7. The grouping - without changing the order - does not affect the answer
Associative property
Subtracting fractions
1 pint (in cups)
Adding fractions
8. Is approximately equal to
Fractions
2/3 =
Identity number for addition
9. 1 - 2 - 3 - 4 -... the numbers you would naturally count by - 0 is not a natural number.
Natural numbers
Changing fractions to decimals
Length (metric system)
Rational numbers
10. (change/starting point) x 100 = percentage change
5/6 =
Percentage increase or decrease
1 =
Irrational numbers
11. When the place value name ends with a 'ths -' it is an indication of being a fraction.
Improper fraction
=
Place value
Common fraction
12. .33 1/3 = 33 1/3%
1/3 =
1 meter (in yards)
1 liter (in quarts)
Decimals
13. Multiply by 100 - Insert a percent sign
Square root
1/4 =
Multiplying mixed numbers
Changing fractions to percents
14. Length (meter) - Volume (liter) - Weight (gram)
1/8 =
Perfect square
Metric/international system of units
Adding and subtracting decimals
15. The order in which addition or multiplication is done does not affect the answer
Communicative property
3/8 =
Square root rules: multiplication and division
Approximating square roots
16. Eliminate the percent sign - Move the decimal point two places to the left (sometimes adding zeros will be necessary)
Changing percents to decimals
Adding signed numbers
Other applications of a percent
1 kilometer (in miles)
17. Kilogram (kg) = 1000 grams hectogram (hg) = 100 grams decagram (dag) = 10 grams gram (g) = 1 gram decigram (dg) = 0.1 gram centigram (cg) = 0.01 gram milligram (mg) = 0.001 gram
1/10 =
Changing an improper fraction to a whole or mixed number
Weight (metric system)
Communicative property
18. Find a number that divides evenly into one numerator and one denominator. Reducing early only applies to multiplying fractions - not adding or subtracting.
Adding fractions
5/8 =
Integers
Reducing when multiplying fractions
19. Subtract = add the opposite; change the sign of the number being subtracted - and then proceed as an addition problem
Multiplication
=
Subtracting signed numbers
Fractions
20. .875 = .87 1/2 = 87 1/2%
7/8 =
Real numbers
4/5 =
3/5 =
21. 144 square inches
2 =
Subtracting fractions
1 square foot (in square inches)
Square numbers
22. 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
1 yard (in feet - inches)
Reducing fractions
Communicative property for addition
23. Move the decimal point two places to the right - Insert a percent sign
Subtracting fractions
Changing decimals to percents
Prime number
1 ton (in pounds)
24. A + (b + c) = (a + b) + c Note: Subtraction does not have the associative property.
Associative property for addition
Adding fractions
Other applications of a percent
Communicative property
25. Is less than or equal to
=
2/3 =
1 liter (in quarts)
Multiplying or dividing signed numbers
26. Is not equal to
?
Place value
1 bushel (in pecks)
1 =
27. 4/10 = .4 = .40 = 40%
2/5 =
1/100 =
Metric/international system of units
1/5 =
28. Is less than
Changing percents to fractions
<
Changing percents to decimals
Adding fractions
29. ...-3 - -2 - -1 - 0 - 1 - 2 - 3... all the whole numbers together with their opposites
>
Integers
1 pound (in ounces)
3/10 =
30. 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
Changing fractions to decimals
1/6 =
Rational numbers
Common fraction
31. 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
1 pound (in ounces)
1 kilometer (in miles)
Changing percents to fractions
32. When adding two numbers with the same sign (either both positive or both negative) - add the pure number portions (absolute values) and keep the sign that is on the numbers
Adding signed numbers
1 foot (in inches)
Changing decimals to percents
Metric system prefixes
33. 2000 pounds
1 kilogram (in pounds)
1 ton (in pounds)
1 metric ton (in kilograms)
1 kilometer (in miles)
34. 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
1 liter (in quarts)
2/3 =
=
Fractions
35. Multiply the whole number by the denominator - add the numerator - and then place that value over the denominator
5/6 =
Changing a mixed number to an improper fraction
Square numbers
1 foot (in inches)
36. 3 feet 36 inches
1 yard (in feet - inches)
Multiplying fractions
1 kilometer (in miles)
Square root rules: addition and subtraction
37. .1 = .10 = 10%
Dividing fractions
Scientific notation
1/10 =
1 mile (in yards - feet)
38. .625 = .62 1/2 = 62 1/2%
5/8 =
Percentage increase or decrease
Subtracting mixed numbers
39. 0 - 1 - 2 - 3 - 4 -... the natural numbers together with 0
Order of operations
Changing an improper fraction to a whole or mixed number
1 kilogram (in pounds)
Whole numbers
40. Milli = 1/1000 centi = 1/100 deci = 1/10 basic unit (meter - liter - gram) = 1 deca = 10 hecto = 100 kilo = 1000
Metric system prefixes
1/4 =
Length (metric system)
Multiplying or dividing signed numbers
41. 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 a mixed number to an improper fraction
Signed numbers
Distributive property
Square root
42. 1. Any number multiplied by 1 gives that number.
3/10 =
2/3 =
1/2 =
Identity number for multiplication
43. 16 ounces
Scientific notation
1 pound (in ounces)
=
Improper fraction
44. 2 cups
Adding signed numbers
Associative property
7/10 =
1 pint (in cups)
45. Any exponent means to multiply by itself that many times
Identity number for addition
Exponent
Dividing fractions
1 kilometer (in miles)
46. 1.1 yards
Associative property for addition
1 meter (in yards)
1 gallon (in quarts)
Place value
47. 5/10 = .5 = .50 = 50%
Changing a mixed number to an improper fraction
1/2 =
Composite number
Square root
48. 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
3 1/2 =
Identity number for multiplication
Cube numbers
Multiplying or dividing signed numbers
49. 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
4/5 =
Simplifying square roots
3 1/2 =
Changing decimals to percents
50. Find the LCD and add the whole numbers to get your final answer.
Adding mixed numbers
Subtraction
1 square yard (in square feet)
1 bushel (in pecks)