Pure

Question 1

What shape is graph us coefficient of x^2 is positive?

Answer 1

U shaped

Question 2

What shape is graph us coefficient of x^2 is negative?

Answer 2

N shaped

Question 3

How many roots if b^2-4ac>0?

Answer 3

2 real roots

Question 4

How many roots if b^2-4ac=0?

Answer 4

1 real root

Question 5

How many roots if b^2-4ac<0?

Answer 5

No real roots

Question 6

Shape of graph y=kx^n is n is positive and even?

Answer 6

U shape if k positive

n shape if k is negative

Question 7

Shape of graph y=kx^n is n is positive and odd?

Answer 7

Corner to corner shape. If k negative get a top left to bottom right shape

Question 8

Shape of graph y=kx^n is n is negative and even?

Answer 8

Graph with 2 bits next to each other If k negative graph below x axis

Question 9

Shape of graph y=kx^n is n is negative and odd?

Answer 9

Two bits opposite each other. If k negative it’s in bottom right and top left quadrants

Question 10

Y=f(x+c)

Answer 10

Shifted c to left

Question 11

Y=f(x-c)

Answer 11

Shifted c to right

Question 12

Y=f(x)+c

Answer 12

Shifted c upwards

Question 13

Y=f(x)-c

Answer 13

Shifted c downwards.

Question 14

Y=af(x)

Answer 14

Stretch by scale factor a in x direction

Question 15

Y=f(ax)

Answer 15

Stretch by scale factor of 1/a in y direction

Question 16

Midpoint of AB

Answer 16

(Xa + Xb)/2 , (Ya + Yb)/2

Question 17

Formula describing geometric progression

Answer 17

Un = ar^n-1

Question 18

Convert radians to degrees

Answer 18

Divide by π, multiply by 180

Question 19

Convert degrees to radians

Answer 19

Divide by 180, multiply by π

Question 20

Length of arc equation

Answer 20

S= r θ

Question 21

Area of sector equation

Answer 21

A= 1/2r^2 θ

Question 22

What’s small angle approximation of sin θ

Answer 22

Sin θ~ θ

Question 23

What’s the small angle approximation of tan θ

Answer 23

Tan θ~ θ

Question 24

What’s the small angle approximation of cos θ

Answer 24

Cos θ~1-1/2 θ^2

Question 25

Logab = c means

Answer 25

a^c = b

Question 26

dy/dx of sin x

Answer 26

Cos x

Question 27

day/dx of cos x

Answer 27

-sin x

Question 28

dy/dx of tan x

Answer 28

Sec^2 x

Question 29

d/dx of cosec(kx)

Answer 29

-kcosec(kx)cot(kx)

Question 30

d/dx of sec(kx)

Answer 30

KSec(kx)tan(kx)

Question 31

d/dx of cot(kx)

Answer 31

-kcosec^2(kx)

Question 32

Cosec θ

Answer 32

1/sin θ

Question 33

Sec θ

Answer 33

1/cos θ

Question 34

Cot θ

Answer 34

1/tan θ