Year 11 last day

Factorising and Surds

100

factor x²-3x-4

what is (x+4)(x-1)

200

sqrt72

3sqrt8

300

Write 0.45 as a simple fraction

9/20

400

Jack has a large bucket and Jill has a small bucket. Both buckets together hold 18 L. They use the buckets to fill a baby pool with a capacity of 230 L. It takes 15 large buckets and 10 small ones to fill the pool. 

If Jack alone filled the pool using the large bucket, how many of the large buckets would it take to fill the pool?

23

500

Factorise x^2-5x+6

(x-3)(x-2)

Trig

100

Solve tanx = SRT3

60, -120

200

Find the exact value of cos510

-SRT3/2

300

Solve tan 330

-1/SRT3

400

Solve cos11pi/6

SRT3/2

500

Solve 2sin2x-1=0 between 0 and 360 degrees

15, 75, 195, 255

Calculus

100

the derivative of 5x⁶+16x³+4

what is 30x⁵+ 48x²?

200

Find sin(-2π/3)

-(square root 3)/2

300

Differentiate 

SRT(3-x)

-1/(2 SRT (3-x)

400

Differentiate 

y=2x^5(5x+3)^3

10x^4(5x+3)^2(8x+3)

500

Differentiate 

y=(3x-5)/(5x+2)

31/(5x+2)^2

General Knowledge

100

Lara’s car uses 11 L of fuel to travel 32 km. How far can it travel on 25 L of fuel?

72.72km

200

What sporting event has a strict dress code of all white?

Wimbledon

300

What animal had the most powerful bite in the world?

Nile Crocodile

400

Which is the only body part that is fully grown from birth?

Eyes

500

Which country has the most islands in the world?

Sweden

Random Math

100

If I were to multiply all the numbers on my telephone’s keypad, what number would I get?

0

200

How many minutes are in a full week?

10,080

300

A number is tripled and then 12 is added to it. When the result is divided by 4, the answer is 6. What is the number?

4

400

What is the only number that is written in alphabetical order?

Forty

500

There is more than one possible value for X so that the mean and the median of the set:

(2.3, 3.1, 1.6, 4.0, 2.7, X) are equal.

Find the greatest possible value for X.

3.7