Numbers

Question 1

1/6

Answer 1

.16667

16 2/3%

Half of 1/3

Question 2

5/6

Answer 2

.833
83 1/3%

(1-.16677

Question 3

1/7

Answer 3

.143

14.3%

Question 4

1/8

Answer 4

.125

12.5%

Half of 1/4

Question 5

3/8

Answer 5

.375

37.5%

.25+ .125

Question 6

5/8

Answer 6

.625

62.5%

.5 + .125

Question 7

7/8

Answer 7

.875

87.5%

.75+.125

Question 8

1/9

Answer 8

.111

11.11%

Question 9

2/9

Answer 9

.222

22.22%

Question 10

4/9

Answer 10

.444

44.44%

Question 11

5/9

Answer 11

.556

55.56%

Question 12

7/9

Answer 12

.778

77.8%

Question 13

8/9

Answer 13

.889

88.89%

Question 14

1/20

Answer 14

.05

5%

Question 15

13/20

Answer 15

.05 more than .6 so .65

65%

Question 16

1/2

Answer 16

.5

50%

Question 17

1/3

Answer 17

.333

33 1/3 %

Question 18

2/3

Answer 18

.667

66 2/3%

Question 19

1/4

Answer 19

.25

25%

Question 20

3/4

Answer 20

.75

75%

Question 21

1/5

Answer 21

.2

20%

Question 22

2/5

Answer 22

.4

40%

Question 23

3/5

Answer 23

.6

60%

Question 24

4/5

Answer 24

.8

80%

Question 25

1/10

Answer 25

.1 10%

Question 26

3/10

Answer 26

.3 30%

Question 27

7/10

Answer 27

.7 70%

Question 28

9/10

Answer 28

.9 90%

Question 29

8 1/3%

Answer 29

.0833=5/6/10= 5/60= 1/12

Question 30

4%

Answer 30

.04= 2/5/10= 2/50= 1/25

Question 31

.00625

Answer 31

5/8/100= 5/800= 1/160

Question 32

1/2

Answer 32

.5 | 50%

Question 33

11^2

Answer 33

121

Question 34

12^2

Answer 34

144

Question 35

13^2

Answer 35

169

Question 36

14^2

Answer 36

196

Question 37

15^2

Answer 37

225

Question 38

16^2

Answer 38

256

Question 39

8^2

Answer 39

64

Question 40

9^2

Answer 40

81

Question 41

10^2

Answer 41

100

Question 42

2^3

Answer 42

8

Question 43

3^3

Answer 43

27

Question 44

4^3

Answer 44

64 | 8^2

Question 45

5^3

Answer 45

125

Question 46

6^3

Answer 46

216

Question 47

2^4

Answer 47

16 | 4^2

Question 48

3^4

Answer 48

81 9^2

Question 49

4^4

Answer 49

256 16^2

Question 50

5^4

Answer 50

625

Question 51

1 st ten prime #'s

Answer 51

2,3,5,7,11,13,17,19,23,29-

Question 52

0!

Answer 52

1

Question 53

General Case Probability Formula P(A or B) =

Answer 53

P(A) + P(B) - P(A and B)

Question 54

Permutation Formula (order does matter) Almost always easier to simply count spots and multiply

Answer 54

N!/(N-k)! N = # of available items to be arranged K= # of spots in which to arrange those items

Question 55

Combination Formula (where order doesn't matter and you want to avoid double counting)

Answer 55

nCk= N!/(K!(N-K)!) =Permutations/K! K items selected from pool of N elements

Question 56

Definition and area of parallelogram

Answer 56

Both pairs of sides parallel Base * height

Question 57

Area of Equilateral Triangle

Answer 57

A= (S^2*sqr rt 3)/4 | Because an equilateral triangle can be divided into two different 30-60-90

Question 58

What does a triangle inscribed in a circle, with one leg being a diameter (goes through the center) mean?

Answer 58

Must be a right triangle

Question 59

45 45 90

Answer 59

X X Xsqrt2

Question 60

Formula for sum of interior angles of a polygon

Answer 60

(N-2) * 180

Question 61

Area of trapezoid

Answer 61

(Base1 + Base2)*height/2

Question 62

Area of any parallelogram

Answer 62

Base * height

Question 63

Triangle inequality law (impossible triangles)

Answer 63

The sum of any two sides of a triangle must be greater than the third side The difference of the two sides must be less than the third. Therefore, the missing side must lie between the difference and the sum of the other two sides.

Question 64

Formula for sum of interior angles of a polygon

Answer 64

(N-2) * 180

Question 65

3 4 5

Answer 65

6 8 10 9 12 15 12 16 20

Question 66

5 12 13

Answer 66

10 24 26

Question 67

Given diagonal of square you have what?

Answer 67

Enough to find the sides (45, 45, 90) 45 45 90 is an isosceles (2 sides) are equal.

Question 68

Equilateral triangle (all angles the same) split in half gives an what type of triangle?

Answer 68

30-60-90 right triangle x xrt3 2x

Question 69

Inscribed angle

Answer 69

Has its vertex on the circle itself. | The inscribed angle is half of the arc it intercepts. Therefore double the inscribed angle equals the arc.

Question 70

Volume of cylinder

Answer 70

Pi * r^2*h

Question 71

Definition and area of rhombus

Answer 71

Diagonal 1 * diagonal 2 The diagonals of a rhombus are always perpendicular bisectors (they cut each other in half at a 90 degree angle) Parallelogram with equal opposite obtuse and acute angles and equal opposite sides.

Question 72

How do you maximize the area of a quadrilateral given the perimeter?

Answer 72

Generally, take the perimeter, find the square that adds to the perimeter and use as the max to multiply

Question 73

How do you maximize the area of a triangle or parallelogram given two sides?

Answer 73

Place the two sides given next to each other at a right angle.

Question 74

How do you calculate the main diagonal of a cube?

Answer 74

S*sq rt 3

Question 75

How do you find the diagonal of a rectangular solid?

Answer 75

D^2= x^2+ y^2+ z^2 Or use the pyth theorem to find diagonal of base, then again to find the diagonal of a triangle using the preciously calculated base, and the height of the solid.

Question 76

Perimeter of a sector?

Answer 76

Remember that the boundaries of the sector includes the two radii (like a slice). Need to calculate the arc length and then add the two radii (he boundaries)

Question 77

Surface area of a cylinder?

Answer 77

=2 circles+ rectangle =2*(pi *r^2) + 2(pi* r* h) Length kf the rectangle is the circumference of the circle and and the width is equal to the height of the rectangle)

Question 78

(X+y)^2=

Answer 78

x^2+2xy+y^2

Question 79

(X-y)^2=

Answer 79

X^2-2xy+y^2

Question 80

(X+y)*(x-y)=

Answer 80

X^2-y^2