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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. 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
1 square yard (in square feet)
9/10 =
Communicative property for addition
2. 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
Identity number for addition
Fractions
1 mile (in yards - feet)
Adding and subtracting decimals
3. Sum - plus - is increased by - more than (example: 3 more than 7 is what?)
1 foot (in inches)
Division
Place value
Addition
4. All the rational and irrational numbers
Subtracting signed numbers
1 pint (in cups)
1 square foot (in square inches)
Real numbers
5. For 'what -' substitute the letter x - For 'is -' substitute an equal sign - For 'of -' substitute a multiplication sign - Change percents to decimals or fractions and solve the equation
3/10 =
1 bushel (in pecks)
Other applications of a percent
7/8 =
6. 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
Associative property for addition
Changing percents to fractions
Exponent
7. 6/10 = .6 = .60 = 60%
3/5 =
Changing fractions to decimals
Weight (metric system)
Fractions
8. Divide the denominator into the numerator
Multiplying decimals
Changing decimals to fractions
Adding signed numbers
Changing an improper fraction to a whole or mixed number
9. 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
<
Simplifying square roots
Adding signed numbers
Volume (metric system)
10. Is approximately equal to
Some properties/axioms of addition and multiplication
Simplifying fractions
Reducing fractions
11. 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
Multiplying decimals
Changing percents to fractions
1 square yard (in square feet)
Place value
12. Communicative property - Associative property - Distributive property
Some properties/axioms of addition and multiplication
1/8 =
1 quart (in pints)
1 meter (in yards)
13. 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
Distributive property
Improper fraction
Real numbers
||
14. Is greater than or equal to
Changing a mixed number to an improper fraction
Adding signed numbers
=
1 kilogram (in pounds)
15. 9 square feet
1 square yard (in square feet)
Parentheses
Exponent
3/4 =
16. Used as grouping symbols
Multiplicative inverse
Parentheses
3/5 =
1 pound (in ounces)
17. Change to an improper fraction and multiply; then change the answer - if in improper form - back to a mixed number and reduce if necessary.
Communicative property for addition
Adding and subtracting decimals
Multiplying mixed numbers
18. 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
Changing decimals to percents
Volume (metric system)
Subtracting fractions
19. The grouping - without changing the order - does not affect the answer
Simplifying square roots
Associative property
Subtracting signed numbers
Changing decimals to percents
20. (change/starting point) x 100 = percentage change
Percentage increase or decrease
Reducing fractions
Addition
Irrational numbers
21. About 0.6 mile
1 kilometer (in miles)
5/6 =
1/10 =
?
22. 2000 pounds
1 ton (in pounds)
Composite number
Additive inverse
Square numbers
23. .16 2/3 = 16 2/3%
Additive inverse
Identity number
1 pound (in ounces)
1/6 =
24. .83 1/3 = 83 1/3%
Changing a mixed number to an improper fraction
Simplifying square roots
5/6 =
Some properties/axioms of addition and multiplication
25. 0. Any number added to 0 gives that number
Volume (metric system)
Identity number for addition
Dividing decimals
?
26. 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
Metric/international system of units
Changing an improper fraction to a whole or mixed number
7/8 =
Weight (metric system)
27. .375 = .37 1/2 = 37 1/2%
Weight (metric system)
Multiplying decimals
Other applications of a percent
3/8 =
28. 5/10 = .5 = .50 = 50%
>
1/2 =
2/5 =
1 quart (in pints)
29. Kilometer (km) = 1000 meters hectometer (hm) = 100 meters decameter (dam) = 10 meters meter (m) = 1 meter decimeter (dm) = 0.1 meter centimeter (cm) = 0.01 meter millimeter (mm) = 0.001 meter
Signed numbers
Length (metric system)
Parentheses
Reducing fractions
30. 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.
Square root
Prime number
Subtracting mixed numbers
Changing a mixed number to an improper fraction
31. .625 = .62 1/2 = 62 1/2%
Associative property for multiplication
1/3 =
5/8 =
1 quart (in pints)
32. Is not equal to
Multiplying decimals
Whole numbers
?
Other applications of a percent
33. A fraction whose numerator is smaller than its denominator; has a value less than 1.
Some properties/axioms of addition and multiplication
Changing fractions to percents
Improper fraction
Common fraction
34. 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
1 gram (in ounces)
2/3 =
1/10 =
Simplifying square roots
35. Find a number that divides evenly into one numerator and one denominator. Reducing early only applies to multiplying fractions - not adding or subtracting.
5/8 =
Reducing when multiplying fractions
1/10 =
Finding percent of a number
36. .66 2/3 = .66 2/3 = 66 2/3%
Identity number for multiplication
2/3 =
Communicative property for addition
1 =
37. 4 quarts
Multiplicative inverse
Identity number for multiplication
Length (metric system)
1 gallon (in quarts)
38. Change the percent to a fraction or decimal and multiply
Finding percent of a number
9/10 =
4/5 =
Natural numbers
39. 2 pints
1 quart (in pints)
1 metric ton (in kilograms)
1 foot (in inches)
5/6 =
40. 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.
Natural numbers
5/6 =
Adding fractions
Length (metric system)
41. 2.00 = 200%
1 gram (in ounces)
Rounding off
2 =
Real numbers
42. 4/10 = .4 = .40 = 40%
2/5 =
1 gallon (in quarts)
Communicative property for addition
1/6 =
43. Mnemonic: Please Excuse My Dear Aunt Sally 1. Parentheses 2. Exponents 3. Multiplication or division 4. Addition or subtraction (left to right)
Multiplying or dividing signed numbers
1 mile (in yards - feet)
1 pound (in ounces)
Order of operations
44. 1000 kilograms
Metric system prefixes
2 =
1 metric ton (in kilograms)
<
45. 1.00 = 100%
1 =
1/8 =
Identity number for addition
1 pound (in ounces)
46. Two numbers multiplied under a radical (square root) sign equal the product of the two square roots - and likewise with division.
3/10 =
Multiplying fractions
5/6 =
Square root rules: multiplication and division
47. Multiply the numerators - multiply the denominators - and reduce to lowest terms if possible
Metric system prefixes
Multiplying fractions
>
1 yard (in feet - inches)
48. 8/10 = .8 = .80 = 80%
Changing fractions to percents
Scientific notation
Parentheses
4/5 =
49. Multiply the whole number by the denominator - add the numerator - and then place that value over the denominator
Multiplicative inverse
Changing a mixed number to an improper fraction
1 square foot (in square inches)
Common fraction
50. When the place value name ends with a 'ths -' it is an indication of being a fraction.
Place value
Improper fraction
1 pound (in ounces)
1 =