One For Your Mathematicians
Have a look at this site:
Mathway: Math Problem Solver
The screenshot shows the website having solved the problem of finding an unknown angle [given typically supplied information when solving this sort of problem]
However the website claims to be able to tackle a lot more:
Under the heading: Basic Math[s] we have:
Long Arithmetic, Long Division, Long Addition, Long Subtraction, Long Multiplication.
Rational Numbers, Expanded Notation, Rounding to the Nearest, Prime or Composite.
Operations with Fractions, Adding Fractions, Subtracting Fractions, Multiplying Fractions, Dividing Fractions,
Ratios, Proportions, and Percents, Converting Percents to Decimal, Converting Percents to Fractions, Converting Ratios to Fractions, Comparing Ratios
Measurement, Area, and Volume, Finding the Area of a Rectangle, Finding the Perimeter of a Rectangle, Finding the Area of a Square, Finding the Perimeter of a Square, Finding the Area of a Circle, Finding the Circumference of a Circle, Finding the Area of a Triangle, Finding the Area of a Parallelogram, Finding the Area of a Trapezoid, Finding the Volume of a Box, Finding the Volume of a Cylinder, Finding the Volume of a Cone, Finding the Volume of a Pyramid, Finding the Volume of a Sphere, Finding the Surface Area of a Cube, Finding the Surface Area of a Cylinder, Finding the Surface Area of a Cone, Finding the Surface Area of a Pyramid, Finding the Surface Area of a Sphere
Factors, Fractions, and Exponents, Simple Exponents, Prime Factorizations, Simplifying Fractions
Unit Conversions, Converting Grams to Kilograms, Converting Grams to Pounds, Converting Grams to Ounces, Converting Feet to Inches, Converting Feet to Meters, Converting Feet to Miles, Converting Feet to Yards, Converting Inches to Feet, Converting Inches to Meters, Converting Inches to Miles, Converting Inches to yards, Converting Miles to Feet, Converting Miles to Kilometers, Converting Miles to Yards, Converting Kilometers to Miles, Converting Kilometers to Meters, Converting Meters to Feet, Converting Meters to Inches, Converting Ounces to Grams, Converting Ounces to Pounds, Converting Ounces to Tons, Converting Pounds to Grams, Converting Pounds to Ounces, Converting Pounds to Tons, Converting Yards to Feet, Converting Yards to Inches, Converting Yards to Miles, Converting Yards to Meters, Converting Fahrenheit to Celsius, Converting Celsius to Fahrenheit
Data Measurement and Statistics, Finding the Median, Finding the Mean, Finding the Mode
Variables, Expressions, and Integers, Distributive Property, Combining Like Terms, Arithmetic Operations
Points and Line Segments
There are similar numbers of entries under the headings: Pre Algebra, Algebra, Trigonometry, Pre Caclulus and Calculus. The site will also graph a given expression for you and has an A to Z glossary of mathematical terms The letters A, B, C, D.... are hotspots for jumping to the first entry in the glossary starting with the letter corresponding to the clicked hotspot]
Lots to invesestigate then.
Another One For Your Mathematicians
Have a look here: Videos of Fast Math Tricks
While the full set of videos have to be purchased there are two videos which can be viewed at no cost which might give students who already have a good understanding of Maths an alternative way of performing seemingly daunting mental calculations very quickly. Once the student has a good undrestanding of the techniques indicated in the videos it would be a simple matter to get the student to expand on these ideas and use these techniques to do even more tricky mental calculations.