This question will help you understand and calculate various statistical concepts like mean, median, variance etc.

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

This exercise will help you solve questions based on subduction zones using  the Cosine rule.

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=\sin(x-y)$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point. 

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.

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

Apply partial diffenetiation in a geology problem.

Perform basic operations with 2x2 matrices - addition, subtraction, multiplication by scalar, matrix multiplication, determinant, transpose

This question is application of integration in geology using the concept of summation.

Newton-Raphson numerical method question to solve $g(x)=0$

Includes a graph of the function $g(x)$ in Advice using Jsxgraph.

Calculate the cube roots of a complex number using De Moivre.

Calculating the square root of a complex number using De Moivre.

Calculating complex numbers raised to an natural number exponent

modulus & argument of a complex number

Complex number multiplication & division

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=x^2-y^2$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point.

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.

Integration by susbtitution, no hint given

This is a description I wrote when I created the SCORM package.

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

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Basic Derivatives, Product Rule, Quotient Rule, Chain Rule, Implicit Differentiation, Differentiating trigonometric and logarithmic functions, tangents 

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Basic indefinite integrals, Basic definite integrals, integration by substitution

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Integration by Parts

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Given an oracle function that will output its value given an input, and an interval within which a root exists, find the root to a given precision.

Makes use of a Geogebra applet.

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

A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

Based on section 3 of the maths-aid/mathcentre workbook on numerical reasoning.

Find the magnitude of the momentum of some objects, given mass and speed. Apply the formula $\rho = mv$.

Practice finding parallel and perpendicular lines to a given line.

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Simple Linear Equations involving basic transposition.

Converting integers from one base to another. Includes binary to decimal.