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Test your basic knowledge |
CSET Multiple Subject: Math 4
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Study First
Subject
:
cset
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. Combinations involve the arrangement of elements into groups...
3 feet is equal to 1 yard.
Without regard to order.
2 pints are equal to 1 quart.
2 cups equals 1 pint.
2. How many square feet are equal to a yard?
Two possible answers
Outliers appear in the data.
9 square feet equal 1 square yard.
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
3. Two or more objects are congruent if they...
Survey samples are not truly random or representative
Angles whose sum is 90 degrees.
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
Have the same shape and size
4. What is slope formula?
Change starting point X 100 = percent change
7 faces 12 edges 7 vertices
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
Cartesian Coordinate System
5. Area of a circle
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
Area = p
Area = b
18=x(90) 18/90 = x 1/5 = x 20% = x
6. Z with exponent of -2 also means
1/Z X Z
(x+c)(x+d) = 0
The factorial function - which just means to multiply a series of descending natural numbers.
In which order is significant. Remember Permutation and Position
7. How many faces - edges - and vertices does a hexagonal pyramid have?
Area = b
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
180 degrees
7 faces 12 edges 7 vertices
8. How do you determine the percent of a number?
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
Area = b
1. change the percent to a fraction or decimal 2. multiply
An obtuse angle
9. A right angle has a measure of?
A right angle has a measure of 90 degrees.
Volume = l
The amount of matter that comprises an object
Two possible answers
10. Mass is the measure of...
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
36 inches are equal to 1 yard.
Outliers appear in the data.
The amount of matter that comprises an object
11. Bar graphs are useful when
Straight lines
Comparing different quantities or when tracking change over time
Change starting point X 100 = percent change
Whole numbers are natural numbers and include 0.
12. Perimeter of a rectangle
Survey samples are not truly random or representative
P = 2L + 2W
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
13. What are complimentary angles?
Area =
Angles whose sum is 90 degrees.
In which order is significant. Remember Permutation and Position
Outliers appear in the data.
14. What are composite numbers?
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
3/1
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.
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.
15. What are whole numbers?
Whole numbers are natural numbers and include 0.
In which order is significant. Remember Permutation and Position
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
Describes the relationship between two sets of data.
16. Mean is a good measure for
Survey samples are not truly random or representative
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
Members/data that is consistently distributed
3 feet is equal to 1 yard.
17. When dividing fractions...
Flip the second fraction and then multiply.
P = 4(S)
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
2 pints are equal to 1 quart.
18. A quadratic equation is an equation in which...
Two possible answers
Have the same shape but different size
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
One of the variables is squared.
19. In even the simplest quadratic equations there are often...
The fixed relationship between two quantities
3 feet is equal to 1 yard.
Two possible answers
Tells us that any number times it multiplicative inverse equals 1. 4/5 X 5/4 = 1
20. What shape is produced when one of the variables in an equation is squared?
Without regard to order.
Parabola
Cartesian Coordinate System
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
21. Bias occurs when
Area = p
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
Survey samples are not truly random or representative
Flip the second fraction and then multiply.
22. Mean
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
Volume = l
1. sample is too limited 2. sample is skewed
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
23. Area of a square
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24. Mode is best used when
Tracking trends or popularity.
Y=mx + b
Without regard to order.
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
25. Functions with an exponent generally produce...
One of the variables is squared.
5 -280 feet are equal to 1 mile.
Real numbers are all rational and irrational numbers.
Curved lines
26. What are irrational numbers?
9 square feet equal 1 square yard.
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
5 -280 feet are equal to 1 mile.
27. Weight is the measure of...
Members of the set tat are far outside the distribution of the rest of the set's members.
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
The pull of gravity on an object
Total favorable outcomes (over/divided by) total possible outcomes
28. How many pints are in a quart?
Rise/run (rise over run)
Members/data that is consistently distributed
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
2 pints are equal to 1 quart.
29. Permutations involve an arrangement of elements...
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
S2 or 'S squared'
3 feet is equal to 1 yard.
In which order is significant. Remember Permutation and Position
30. The multiplicative inverse property...
One of the variables is squared.
1/Z X Z
An acute angel has a measure of less than 90 degrees.
Tells us that any number times it multiplicative inverse equals 1. 4/5 X 5/4 = 1
31. What does the distributive property state?
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
1. change the percent to a fraction or decimal 2. multiply
In which order is significant. Remember Permutation and Position
One of the variables is squared.
32. Perimeter of a square
P = 4(S)
1. random 2. representative
Area = w
P = 2L + 2W
33. Outliers
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34. What is slope?
A triangle with all sides of equal length and all angles are equal measure.
4 quarts are equal to 1 gallon.
A right angle has a measure of 90 degrees.
Rise/run (rise over run)
35. Functions without an exponent generally produce...
Straight lines
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
Total favorable outcomes (over/divided by) total possible outcomes
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
36. Quadrants are part of what system?
Straight lines
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
In which order is significant. Remember Permutation and Position
Cartesian Coordinate System
37. What are prime numbers?
Angles whose sum is 90 degrees.
18=x(90) 18/90 = x 1/5 = x 20% = x
Rise/run (rise over run)
Prime numbers are natural numbers that can only be divided by itself and the number 1. The first seven prime numbers are: 2 - 3 - 5 - 7 - 11 - 13 - and 17.
38. What are the steps to convert fraction to a percent?
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
Members/data that is consistently distributed
Prime numbers are natural numbers that can only be divided by itself and the number 1. The first seven prime numbers are: 2 - 3 - 5 - 7 - 11 - 13 - and 17.
P = 2L + 2W
39. 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...
(x+c)(x+d) = 0
Angles whose sum is 90 degrees.
Area =
An acute angel has a measure of less than 90 degrees.
40. The commutative property of addition and multiplication state...
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
Parabola
Tracking trends or popularity.
1. sample is too limited 2. sample is skewed
41. A good survey sample should be...
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
Volume = l
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.
1. random 2. representative
42. PEMDAS
A right angle has a measure of 90 degrees.
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
Comparing different quantities or when tracking change over time
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
43. Area of a trapezoid
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
Area =
2 cups equals 1 pint.
Rise/run (rise over run)
44. How many quarts are in a gallon?
3 feet is equal to 1 yard.
4 quarts are equal to 1 gallon.
1. change the percent to a fraction or decimal 2. multiply
180 degrees
45. How many ounces are in a pound?
7 faces 12 edges 7 vertices
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
16 ounces are in 1 pound.
Without regard to order.
46. What are rational numbers?
An angle that is is larger than 90 degrees but less than 180 degrees.
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.
Members/data that is consistently distributed
Outliers appear in the data.
47. What is the y - intercept?
Y=mx + b
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
Straight lines
The point at which a line intersects the y - axis.
48. Area of a triangle
Area =
Volume = l
Area = p
7 faces 12 edges 7 vertices
49. In slope - intercept form what is 'm' and what is 'b?'
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.
M = slope b = y - intercept
Describes the relationship between two sets of data.
3 feet is equal to 1 yard.
50. The associative property of addition and multiplication state...
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
M = slope b = y - intercept
180 degrees
3/1