Formulas

Question 0

Formula: Area of a triangle

Answer 0

1/2 base x height

Question 1

Pythagorean theorem?

Answer 1

a^2 +b^2 = c^2

Question 2

1/8

Answer 2

12. 5%

0. 125

Question 3

1/6

Answer 3

16. 6% (repeating)

0. 16 (6 repeating)

Question 4

1/5

Answer 4

20%

0.2

Question 5

1/4

Answer 5

25%

0.25

Question 6

1/3

Answer 6

33. 3% (repeating)

0. 3 (3 repeating)

Question 7

3/8

Answer 7

37. 5%

0. 375

Question 8

2/5

Answer 8

40%

0.4

Question 9

1/2

Answer 9

50%

0.5

Question 10

3/5

Answer 10

60%

0.6

Question 11

5/8

Answer 11

62. 5%

0. 625

Question 12

2/3

Answer 12

66.6% (repeating)
0.6 (6 repeating)
memory trick: 2 out of 3 IS bad… 66.6 ;)

Question 13

3/4

Answer 13

75%

0.75

Question 14

4/5

Answer 14

80%

0.8

Question 16

5/6

Answer 16

83. 3% (repeating)

0. 83 (3 repeating)

Question 17

7/8

Answer 17

87. 5%

0. 875

Question 18

Find PERCENT given part and whole
ex:
What Percent of 60 is 45?

Answer 18

Percent= Part/Whole
or
Part/Whole =Percent

Part=45
Whole=60
Percent= ?

45/60=3/4= .75 = 75%

Question 19

Sum of values given the average and number of values

Answer 19

Sum of values=

average value) X (number of values

Question 20

Average rate…
If j travels 30 mph in 2 hrs and then
60 mph In 3 hours, what is his average speed in miles per hour?

Answer 20

Average A per B=
total A/ total B

Avg miles per hour=
Total miles/ Total hours

(30+60) miles/ (2+3) hours

90 miles/ 5 hrs= 18 miles/hour

Question 21

The sum or difference between two odd or two even numbers is ______

Answer 21

Even

Odd +/- Odd= Even

Even +/- Even= Even

Question 22

The product of an even number and any other number is _____.

Answer 22

Even

Even x Even= Even

Even x Odd=Even

Question 23

Quadrilaterals:

Sum of interior angles

Answer 23

360 degrees

Question 24

Area:

Square

Answer 24

Area of square= s^2

Question 25

Area:

Rectangle

Answer 25

Area rectangle=lw

Question 26

Every prime number ends in

Answer 26

1, 3, 7, and 9 with the exception of 2 and 5

Question 27

Is it prime? Check if number is divisible by: (5 numbers)

Answer 27

2, 3, 5, 7 or 11

Question 28

16.6% (repeating)

Answer 28

1/6

.16 repeating

Question 29

12.5%

Answer 29

1/8

Question 30

.125

Answer 30

1/8

12.5%

Question 31

37.5%

Answer 31

3/8

Question 32

60%

Answer 32

3/5

Question 33

62.5%

Answer 33

5/8

Question 34

11²

Answer 34

121

Question 35

12²

Answer 35

144

Question 36

13²

Answer 36

169

Question 37

14²

Answer 37

196

Question 38

15²

Answer 38

225

Question 39

10²

Answer 39

100

Question 40

Median of n numbers..
If n is odd…
If n is even….

Answer 40

Median of n numbers..
If n is odd..The median is the middle #

If n is even….there are two middle numbers and the median is the average of those two numbers

Question 41

x² - y²=

Answer 41

x² - y²= (x+y)(x-y)

Question 42

203² - 201² =

Answer 42

(203+201)(203-201)=
(404)(2)=808

B/c:
x² - y²= (x+y)(x-y)

Question 43

If the numbers in a set are equally spaced the ___ and ____ of the set are the same

Answer 43

Mean and median

Question 44

Set X: {-27, -20, -13, -6, 1, 8, 15}

Set Y: {-23, -19, -15, -11, -7, -3, 1, 5, 9, 13}

Column A Column B
Mean of set X Mean of set Y

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Answer 44

Column A: Since the numbers in set X are equally spaced, the mean will equal the median. We can quickly find the median by locating the middlemost element: {-27, -20, -13, -6, 1, 8, 15}. Set X has 7 elements and the middlemost element is -6. So, the median of set X is -6, which means the mean of set X is -6 as well.

Column B: The numbers in set Y are also equally spaced, so the mean will equal the median. Set Y has 10 elements, so there are two middlemost elements: {-23, -19, -15, -11, -7, -3, 1, 5, 9, 13}. As such, the median of set Y will equal the average (mean) of -7 and -3, which is -5. So, if the median of set Y is -5, then the mean of set Y is -5 as well

Question 45

Set T consists of all multiples of 5 from 30 to 225 inclusive

Column A Column B
Mean of Set T Median of Set T

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Answer 45

If the numbers in a set are equally spaced, then the mean and median of that set are equal.

Answer is C

Question 46

For all integers n ≥ 1…

A(n) = 9(n) + 3

Determine one of the first ten terms in this sequence.

*n is subscript

Answer 46

The nth term of this sequence is defined by the rule
9n + 3, for integers n ≥ 1. For example, the fourth term in this sequence is 9n + 3 = 9( 4) + 3 = 39. The first ten terms of the sequence are as follows: 12, 21, 30, 39, 48, 57, 66, 75, 84, 93