GCSE Maths 2026: Paper 3 - challenging questions

1)  Simplify: ∛(27x⁶y³) Solve: 2³ˣ⁻¹ = 1 / √128 Which one of the following is the bigger? Show your working with all necessary steps: 3⁵² or 4³⁹ 2)  ABC is a right-angled triangle. AB = BC = 1 cm. The side, BC, is extended in such a way that AC = CD. Find the value of CD and leave the answer in surd f…

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Physics of Bungee Jumper for A Level Physics

The Energy Transition Phases Assume the jumper of mass m starts from rest at height h. The bungee cord has a natural length L and a stiffness (spring constant) k. Phase A: The Freefall (0 < y  < L) Before the cord tightens, the jumper is in freefall. Forces: Only weight (mg) acts on the jumper (i…

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Graphs for GCSE & IGCSE with GeoGebra

The following simulation, created with GeoGebra, allows you to know all the main type of graphs required for both GCSE and IGCSE. For more of practice on individual type, please follow this link .

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GeoGebra Animations for Physics Teachers: Beats and Interference

The following animation is ideal for physics teachers to explain the phenomenon of interference when beats are formed by the combination of  two waves which have slightly different frequencies. You can see the individual waves as well as the resultant wave. Constructive and destructive interference …

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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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Electrical Resistor Simulator: GCSE, IGCSE & A Level: interactive practice

The following simulator helps you understand and master the calculations involving the resistors, combined both in parallel and series, in circuits. Resistors in Series When resistors are connected in series: The current through them is the same Total resistance is the sum of individual resistance of e…

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