Functions
Trigonometry
Differentiation
Integration
Probability
100

The function is odd, even or neither.

2 xx 2/(3*x^2) 

What is an ODD function?

100

The third number in the pythagorean triad

{6, 8, .....}

What is 10?

100

The derivative of

y=2/x

What is 

y'=-2/x^2

100

The Integral of

∫(x^2-x-1)dx

What is 

1/3x^3-1/2x^2-x+c

100

The probability of a die tossed 3 times and the result is a 4 each time.

What is 

1/216

200

The simultaneous solution to these equations

5x+2y=13

x-y=3

What is (7,4)?

200

This expression is the same as 

sin ((4π)/3)

What is 

-sin(π/3)

200

The derivative of 

What is 

2xe^(2x)(x+1)

200

the integral of 

∫(3x+1)^5dx

What is 

(3x+1)^6/18+c

200

Mary guesses three questions in her multiple choice exam, which has four options per question. The probability she gets all three correct

What is 

1/64

300

Rationalise 

3/(√6-2)

3+(3√6)/2

300

The number of solutions to the equation 

sin^2ø=2/9 [0,2π]

What is 4?

300

The derivative function of 

g(x)=(3-2x)^8

What is 

-16x(3-2x)^7

300

The equation of the curve whose gradient passes through (-1,4)

(dy)/(dx)=6x-2

What is 

y=3x^2-2x-1

300

The class of 30 students of whom 18 study Chinese, 15 study Japanese and 6 study both. The probability a student at random chooses neither Chinese or Japanese.

What is 

1/10

400

The radius and centre of this circle 

x^2+y^2-4x-6y-3=0

What is (2, 3) and r=4?

400

ø is 

cosø=sin(2ø+15º)

What is 25º

400

DOUBLE JOEPARDY!!!!!!

The derivative of

y=(lnx)/x

What is 

y'=(1-lnx)/x^2

400

The evaluation of 

∫_0^(π/2)sin⁡(x/3)dx

What is 

(6-3√3)/2

400

A and B are independent events such that: The value of P(A|B)

P(A)=0.2

P(B)=0.6

What is 

1/5

500

The composite function and domain of

g(f(x))

g(x)=√x

f(x)=2x-3

What is 

√(2x-3) 

x≥3/2

500

The solution to 

tan3ø=-1. [0,2π]

What is 

ø/4, (7ø)/12, (11ø)/12, (5ø)/4, (19ø)/12, (23ø)/12

500

The equation of the tangent at the point where

x=-3

y=√(1-x)

What is 

x+4y-5=0

500

The integral of 

∫(x-1)/(x^2-2x+3)dx

What is 

1/2ln|x^2-2x+3|+c

500

Two team leaders are chosen from the candidates Anna, Brianna, Crianna and Dianna. The probability Crianna is a team leader and Brianna is not.

What is 

1/3