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The student will be given 2 integers between -9 and +9 to add together.

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The thicknesses of two sedimentary layers are given. The student has to add the thicknesses and give the answer to 2 siginificant figures.

Questions on manipulating logarithms.

A collection of questions (frequently updated) to demonstrate the usage of the Logic extension.

Current questions:

• Make syllogisms (either valid, invalid or valid under an additional assumption);
• Write statements in Polish and reverse Polish notation, find the truth table, determine satisfiability;
• Test whether a collection of statements $\Gamma$ models a statement $\phi$;
• Write the Disjunctive and Conjunctive Normal Forms for a statement.

Needs the Logic Extension!

Addition Formulas in Trigonometry. Range of Sinusoidal functions. 

Integration techniques for monomials and simple polynomials.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Two masses in a box which is attached to a string. Finding acceleration by modelling the two masses as the whole system. Find forces exerted by the two masses.

Mając dane dwie liczby oblicz ich sumę.

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Implication sign and 'if, then' construction.

Resolving forces in a simple truss, and 2D stresses in a uniaxially loaded bar.

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Calculate the net present value for the following property assets:

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Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.

Two players collide. Given the masses, final speeds and impulse imparted on each, find their initial speeds.

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

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

Solving questions using $F=ma$ and $W=mg$.

Using $F=ma$ to find magnitudes of unknown forces acting on an accelerating body.

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