Grade 12 Provincial Mathematics Exam on January 23. 2018

Question 1

Do we round up or down with time, distance?

Answer 1

can be kept to 3 decimal places

Question 2

Like Objects (letters)

Answer 2

n!

a! b! c!

Question 3

Binomial Expansion formula

Answer 3

_nC_r = (a)^n-r (b)^r

Question 4

How do you determine the value of starting x-value given a sinusoidal equation?

Answer 4

(bx - c) = 0

Question 5

How do you determine the value of minimum y-value given a sinusoidal equation?

Answer 5

d - |a|

Question 6

How do you determine the value of “c” given a sinusoidal function?

Answer 6

For a y = sinx graph,

It is th epoint where the graph want to go up on one side and down on the other side

For a y = cosx graph,

it is the highest y-value and how many units along the x-axis it needs to go back to x = 0

Question 7

When the function is:

ax⁵

bx⁵

What is the horizontal asymptote?

Answer 7

Horizontal Asymptote at:

a

y = ——

b

Question 8

Describe transformation of 5cos(1/2)x

Answer 8

vertical

compression by a factor of 1/5

stretch by a factor of 5

Horizontal

compression by a factor of 2

Stretch by a factor of 1/2

Question 9

How do you determine the value of “a” given a sinusoidal function?

Answer 9

(highest y-value - lowest y-value)

2

Question 10

How do you determine the value of maximum y-value given a sinusoidal equation?

Answer 10

d + |a|

Question 11

Grouped situation (perms)

Answer 11

(# of groups)! (# of objects in each group)!

Question 12

What does multiplicity mean?

Answer 12

Degree or power

Question 13

Answer 13

Question 14

What are the main steps to solving identities? 4

Answer 14

Simplify

Expand

Substitute

FActor

Question 15

How do you determine the value of “d” given a sinusoidal function?

Answer 15

Question 16

What is 3 radians?

Answer 16

π is a symbol 3.14 radians

Question 17

How to find frequency?

Answer 17

Question 18

Vertex Formula

Answer 18

Question 19

How do you determine the value of ending x-value given a sinusoidal equation?

Answer 19

(bx - c) = 2π

Question 20

0! = ?

Answer 20

1

Question 21

(n+1)! = ?

Answer 21

(n+1)(n)(n-1)(n-2)….

Question 22

Answer 22

Question 23

Circular Perms

Answer 23

(n - 1)!

Question 24

How do you determine the value of “d” given a sinusoidal function?

Answer 24

(max y-value) - |a|

Question 25

Do we round down or up with people and items?

Answer 25

Round down

Question 26

Permutation Blocks

Answer 26

(# of Blocks Up + # of Blocks Right)!

(# of Blocks Up)!(# of Blocks Right)!

Question 27

When the function is:

x²

x

What is the horizontal asymptote?

Answer 27

No Horizontal Asymptote exist

Question 28

n! = ?

Answer 28

(n)(n-1)(n-2)….

Question 29

When the function is:

x¹²

x⁸²

What is the horizontal asymptote?

Answer 29

Horizontal Asymptote at:

y = 0

Question 30

For finding the maximum y-value, we use (d + |a|), why must a be an absolute value?

Answer 30

a refers to amplitude and amplitude is the DISTANCE from the d-line.

Because it is the distance, it has to be positive.