Another practical application of differentiation

Quotient and remainder, polynomial division.

Straightforward solving linear equations question

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.

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

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Using the chain rule within product rule problems.

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A credit card company charges compound interest at x% per month 
on unpaid balances.

rebelmaths

Find the mean, median and mode of a list of 10 test scores.

rebelmaths

Calculate the annual interest rate for a savings account where A, P and n are given.

rebelmaths

Using e to solve equations involving the natural log

Given the derivatives of a cubic function at a point, find the value of the function at another point.

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The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

rebelmaths

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

Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

Integration by susbtitution, no hint given

Find the area under a porabola.

Find the area under a curve. The step is given.

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Use Sine rule and Cosine rule to solve a Geometry problem in geology.

Application of differentitaion in geology. A projectile problem.

A question to practise the following skills in the context of Earth Sciences:

• graph-reading skills
• using a graph to find the equation of a line
• used adpative marking