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Test your basic knowledge |
CSET Multiple Subject: Math 4
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Subject
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cset
Instructions:
Answer 50 questions in 15 minutes.
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.
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. What are real numbers?
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
Real numbers are all rational and irrational numbers.
Total favorable outcomes (over/divided by) total possible outcomes
The factorial function - which just means to multiply a series of descending natural numbers.
2. Quadrants are part of what system?
Cartesian Coordinate System
M = slope b = y - intercept
16 ounces are in 1 pound.
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
3. Functions with an exponent generally produce...
Curved lines
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
180 degrees
Real numbers are all rational and irrational numbers.
4. How would you write the expression: what is 15% of 60?
In which order is significant. Remember Permutation and Position
x = 15/100 X 60 x = 90/10 x = 9
S2 or 'S squared'
The pull of gravity on an object
5. Area of a trapezoid
Area =
Middle most value - is found by putting the members of a set into sequential order and selecting the middle value. If there is an even number of members - you find the median by averaging the two middle most values.
Total favorable outcomes (over/divided by) total possible outcomes
Members of the set tat are far outside the distribution of the rest of the set's members.
6. A yard equals how many feet?
3 feet is equal to 1 yard.
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
Curved lines
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
7. An acute angle has a measure of?
An acute angel has a measure of less than 90 degrees.
S2 or 'S squared'
That any number plus 0 equals itself 3 + 0 = 3
The pull of gravity on an object
8. What are natural numbers?
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
Y=mx + b
Angles whose sum is 180 degrees.
Real numbers are all rational and irrational numbers.
9. How many ounces are in a pound?
Without regard to order.
Whole numbers are natural numbers and include 0.
The point at which a line intersects the y - axis.
16 ounces are in 1 pound.
10. The multiplicative inverse property...
Comparing different quantities or when tracking change over time
2 pints are equal to 1 quart.
Tells us that any number times it multiplicative inverse equals 1. 4/5 X 5/4 = 1
Outliers appear in the data.
11. Mode
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
Member of a data set that occurs most frequently.
Any number times 1 equals itself 3 X 1 = 3
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
12. Perimeter of a square
7 faces 12 edges 7 vertices
P = 4(S)
The factorial function - which just means to multiply a series of descending natural numbers.
x = 15/100 X 60 x = 90/10 x = 9
13. How to find probabilities?
Algorithmic opposites
Area = w
Total favorable outcomes (over/divided by) total possible outcomes
Whole numbers are natural numbers and include 0.
14. Volume of a cylinder
An acute angel has a measure of less than 90 degrees.
Volume = l
Volume = p
Area = b
15. What are integers?
3/1
1/Z X Z
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
Middle most value - is found by putting the members of a set into sequential order and selecting the middle value. If there is an even number of members - you find the median by averaging the two middle most values.
16. An angle that is is larger than 90 degrees but less than 180 degrees is?
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
The factorial function - which just means to multiply a series of descending natural numbers.
Curved lines
An obtuse angle
17. When we have a quadratic equation in the form of x2+ax+b = 0 we can often find the possible solutions through factoring the equation into the form...
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
Describes the relationship between two sets of data.
(x+c)(x+d) = 0
The fixed relationship between two quantities
18. Mean is a good measure for
Outliers appear in the data.
Two possible answers
3 feet is equal to 1 yard.
Members/data that is consistently distributed
19. Area of a rectangle
P = 2L + 2W
Area = w
Angles whose sum is 180 degrees.
18=x(90) 18/90 = x 1/5 = x 20% = x
20. Perimeter of a rectangle
An acute angel has a measure of less than 90 degrees.
Rise/run (rise over run)
5 -280 feet are equal to 1 mile.
P = 2L + 2W
21. What are the steps to convert a percent to a fraction?
Composite numbers can be divided by more than itself and the number 1. The first seven composite numbers are 4 - 6 - 8 - 9 - 10 - 12 - and 14.
Area =
Members of the set tat are far outside the distribution of the rest of the set's members.
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
22. A yard equals how many inches?
Middle most value - is found by putting the members of a set into sequential order and selecting the middle value. If there is an even number of members - you find the median by averaging the two middle most values.
36 inches are equal to 1 yard.
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
A triangle with all sides of equal length and all angles are equal measure.
23. How many pints are in a quart?
Circumference = 2
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
2 pints are equal to 1 quart.
Members/data that is consistently distributed
24. Perimeter of a triangle
Sum of sides
Describes the relationship between two sets of data.
Without regard to order.
An obtuse angle
25. Functions without an exponent generally produce...
S2 or 'S squared'
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
P = 4(S)
Straight lines
26. Area of a square
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27. What are rational numbers?
1/Z X Z
Flip the second fraction and then multiply.
Rational numbers are values that can be expressed in fraction form (where the denominator does not = 0) and the decimal either repeats a pattern or terminates.
9 square feet equal 1 square yard.
28. What is slope?
36 inches are equal to 1 yard.
2 cups equals 1 pint.
A triangle with all sides of equal length and all angles are equal measure.
Rise/run (rise over run)
29. Mass is the measure of...
The amount of matter that comprises an object
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
1/Z X Z
1. change the percent to a fraction or decimal 2. multiply
30. How many square feet are equal to a yard?
9 square feet equal 1 square yard.
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
180 degrees
Members/data that is consistently distributed
31. The additive inverse property...
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
Total favorable outcomes (over/divided by) total possible outcomes
Have the same shape but different size
Survey samples are not truly random or representative
32. Z with exponent of -2 also means
Area = p
P = 2L + 2W
1/Z X Z
Outliers appear in the data.
33. PEMDAS
Independent choices in which order does not matter
An acute angel has a measure of less than 90 degrees.
1/Z X Z
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
34. How are the quadrants of the Cartesian Coordinate System laid out?
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
The amount of matter that comprises an object
35. What are composite numbers?
Composite numbers can be divided by more than itself and the number 1. The first seven composite numbers are 4 - 6 - 8 - 9 - 10 - 12 - and 14.
An obtuse angle
P = 4(S)
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
36. What shape is produced when one of the variables in an equation is squared?
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
Volume = p
Curved lines
Parabola
37. The associative property of addition and multiplication state...
A right angle has a measure of 90 degrees.
3/1
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
Area =
38. Mode is best used when
P = 2L + 2W
S2 or 'S squared'
Tracking trends or popularity.
Survey samples are not truly random or representative
39. A right angle has a measure of?
18=x(90) 18/90 = x 1/5 = x 20% = x
Outliers appear in the data.
A right angle has a measure of 90 degrees.
Volume = p
40. Area of a parallelogram
Members/data that is consistently distributed
Area = b
Sum of sides
Any number times 1 equals itself 3 X 1 = 3
41. What is an obtuse angle?
Angles whose sum is 90 degrees.
Curved lines
Area = w
An angle that is is larger than 90 degrees but less than 180 degrees.
42. Median
P = 2L + 2W
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
Middle most value - is found by putting the members of a set into sequential order and selecting the middle value. If there is an even number of members - you find the median by averaging the two middle most values.
One of the variables is squared.
43. What are the steps to convert decimals to fractions?
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
1. random 2. representative
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
44. Permutations involve an arrangement of elements...
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
Tracking trends or popularity.
Angles whose sum is 90 degrees.
In which order is significant. Remember Permutation and Position
45. What do we use to find number of possible combinations?
1. sample is too limited 2. sample is skewed
Members of the set tat are far outside the distribution of the rest of the set's members.
The factorial function - which just means to multiply a series of descending natural numbers.
(x+c)(x+d) = 0
46. The identity property of multiplication tells us that
A right angle has a measure of 90 degrees.
180 degrees
Change starting point X 100 = percent change
Any number times 1 equals itself 3 X 1 = 3
47. Perimeter of a parallelogram
Cartesian Coordinate System
Angles whose sum is 90 degrees.
P = 2L + 2W
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
48. A straight angle measures?
180 degrees
The amount of matter that comprises an object
Circumference = 2
Area =
49. What are whole numbers?
P = 4(S)
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
Area =
Whole numbers are natural numbers and include 0.
50. What are the steps to convert fraction to a percent?
An acute angel has a measure of less than 90 degrees.
The pull of gravity on an object
Rational numbers are values that can be expressed in fraction form (where the denominator does not = 0) and the decimal either repeats a pattern or terminates.
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
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