By failing to prepare, you are preparing to fail.

# Challenging Questions

/Tag: Challenging Questions
21 03, 2018

## Challenging Rates

Challenging Rates Questions The first snow of the season begins to fall during the night. The depth of the snow, h, increases at a constant rate through the night and the following day. At 6 am a snow plough begins to clear the road of snow. The speed, [...]

5 06, 2017

## Challenging Exponentials

Challenging Exponentials Find the derivative of $y=x^x$. let $y = {\left( {{e^{\ln x}}} \right)^x}$ as eln x = x $y = {e^{x.\ln x}}$ let y = eu consider separately u = x.ln x $\frac{du}{dx}=\ln x . 1 + x.\frac{1}{x}$ $\frac{du}{dx}=\ln x +1$ to differentiate y = eu, differentiate [...]

2 11, 2016

## Challenging Trig

By |2016-11-06T10:43:10+10:00November 2nd, 2016||Comments Off on Challenging Trig

Challenging Trig Find the exact value of sin x. The x value will be 3/5 and the y value will be 4/5. Use Pythagoras to find the length of the hypotenuse. H2 = 3/5 2 + 4/5 2 H2 = 1 H = 1 use the sum [...]

27 06, 2016

## Challenging Questions

By |2016-11-03T17:52:19+10:00June 27th, 2016||Comments Off on Challenging Questions

Challenging Questions Find the area of an equilateral triangle with 2cm sides. Form a right triangle from the equilateral, using the perpendicular will bisect the base. Use Pythagoras to find the height of the triangle h2 = 22 - 12 h2 = 3 h = √3 h = 1.73 A = ½bh [...]

13 06, 2016

## Challenging Z-Scores

By |2016-10-21T13:17:02+10:00June 13th, 2016||Comments Off on Challenging Z-Scores

Challenging Questions: z-scores A set of exam results is normally distributed, with 95% all all results lying between 64 and 80. Which of the following would be the mean and the standard deviation? a. mean = 72, sd = 8 b. mean = 72, sd = 4 c. mean = 64 , [...]

1 06, 2016

27 08, 2015

## Ratios

By |2016-11-05T18:30:27+10:00August 27th, 2015||Comments Off on Ratios

Ratios worked examples further examples harder examples

25 08, 2015

## Challenging Speed Questions

By |2016-11-05T18:31:18+10:00August 25th, 2015||Comments Off on Challenging Speed Questions

Challenging Questions A riverboat cruise liner boat travels 8km upstream and 8km downstream.The total time for both parts of the trip is 3 hours. The speed of the stream is 2km/h. what is the speed of the boat in still water? let the speed be x upstream x -2  as [...]