Michael Proudman

Draws a right angled triangle based on a length and an angle.

This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

Draws a triangle based on 2 angles and a side length.

Draws a triangle based on 3 side lengths.

Draws a triangle based on 2 angles and a side length.

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Exam Question

Adapted from Q1 of the sample paper for Unit 1

Solving pair of simultaneous (linear) equations

A simple "Complete the Table" exercise to reinfore prefixes (giga, micro etc) and engineering notation ($\times10^3$ etc).

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

rebelmaths

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

rebelmaths

It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...

rebelmaths

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

rebelmaths

Using trig identities to find solutions to equations

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...

rebelmaths

Using trig identities to find solutions to equations

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

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Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Four sinusoidal graphs are given. Student should select the one which is sine and cosine.