Year 12 End of Semester

Unit Circle

100

what is the exact value of Cos135

-1/sqrt2

200

what is the area of the unit circle

pi

300

tan pi/4

1

400

Who was the first woman to win a nobel prize

Marie Curie

500

cos x=3/5, what is sin x given 270<x<360

-4/5

Logs

100

log 0.0001

-4

200

log₂2048

11

300

Solve for x, 3^2x-4=1

2

400

Points (1,6) and (5,96) are on curve y=ab^x find a and b

a=3, b=2

500

Which composer became deaf later in life but continued to compose famous works such as the Ninth Symphony?

Beethoven

Quadratics

100

factorise x²-x+6

(x-3)(x+2)

200

Capital city of Canada

Ottowa

300

What is the quadratic formula

x=-b + or - the sqrt of b2 - 4ac all over 2 q

400

determine the discriminant of y=2x²-3x+4

-23

500

sketch y=x²-8x+12

y intercept 12, smile, x intercepts 2,6 

Differentiation

100

determine the derivative of  y=x³

3x²

200

what is f'(1) of f(x)=2x²-x 

3

300

stationary point of y=9+12x-2x²

(3,27)

400

Which artist painted the ceiling of the Sistine Chapel in Vatican City

Michelangelo

500

f(x)=(5x-1)(2x+1), f'(x) =

20x+3

Random

100

Who wrote "To kill a mocking bird"

Harper Lee

200

EXACT area of a donut shape, outer circle 5cm, inner circle 2cm

21 pi cm²

300

3 daffodils and 5 petunias cost $25, 4 daffodils and 3 petunias cost $26, what does each flower type cost

daffodils $5 and petunias $2

400

helipad, angle of elevation to helicopter hovering at 250m high is 35⁰. what is horizontal distance to nearest cm. Calc Allowed

35704cm

500

If I roll 2 die, I total the two numbers , what is the probability I roll 7

1/6