Radioactive Decay & Nuclear Physics: half-life simulator

Radioactive Decay Radioactive substances such as Uranium and Radium spontaneously disintegrate while emitting radiation in the form  of α or ß particles and γ rays. The loss of an alpha particle result in the formation of a new element,  that occupy a position on the Periodic Table, two places to the…

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Iteration for A Level Maths: staircase method & cobweb method

E.g. f(x) = x² - x - 4 When the above is rearranged in the form of x = g(x), it is said to be in iterative form. x² - x - 4 = 0 x = 1 + x/4 x n+1 = 1 + x n / 4 If x n is known, x n+1 can be calculated. The initial value to trigger off the iterative process is found by looking for change in sign of…

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Practise straight line graphs for GCSE, IGCSE and GCE - OL: fully interactive

This applet generates a straight line at the click of a button. From the line on a grid, you can calculate both the gradient and intercept, if the latter is visible. Otherwise, you need to find the gradient of the line and the coordinates of any point through which the line passes. E.g. If the gradie…

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Basic Integration: finding the area under a curve by a GeoGebra applet - fully interactive

With the following GeoGebra applet, you can find out the area under a curve by integration -  interactively.  All you need to do is  to move the two sliders to points of your choice and tick the checkbox for answer to appear. The function used in this case is a quadratic function. Enjoy, learn and pro…

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Linear and Geometric Sequences for GCSE, IGCSE & A Level

E.g.1 : Find the nth term of the sequence: 3, 7, 11, 15, ... The common difference is 4.  Let N = an + b, where N is the nth term and a an b are constants to be found. 3 = a(1) + b = a + b 7 =  a(2) + b = 2a + b Solving the two equations simultaneously, we get a = 4 and b = -1 So, the nth term, N = 4n - 1 …

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Conquer GCSE Maths Challenges: Practise Tough Questions for Free

Are you ready to test your GCSE/IGCSE maths skills to the limit?

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The exponential graph

The exponential function is a special exponential function; the gradient of any point on the curve is the same as the value of the function at that point.

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