Given the original formula the student enters the transformed formula

Given th original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given th original formula the student enters the transformed formula

READY TO USE

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

Create a truth table for a logical expression of the form $(a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d)$ where $a, \;b,\;c,\;d$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3}$ one of $\lor,\;\land,\;\to$.

For example: $(p \lor \neg q) \land(q \to \neg p)$.

Factorising further basic quadratics into linear factors.

Annuity question as a filling in a formulae exercise

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Inverse Laplace transform if trig functions.

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Laplace transform of e^{at}

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Gross wage, tax

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Indices in their simplest form

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Indices in their simples form

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Find the general solution of $y''+2py'+(p^2-q^2)y=x$ in the form  $Ae^{ax}+Be^{bx}+y_{PI}(x),\;y_{PI}(x)$ a particular integral.

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(Calculating estimate and actual value of temperature using given formulas, and hence finding the percentage error)

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Transposing formulae

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Match the question with the correct formula.

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Find i using compound interest formula A=P(1+i)^n

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Solve $\displaystyle{ax ^ 2 + bx + c=0}$ by factorisation. 

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Factorising further basic quadratics into linear factors.

Calculating net pay using cut off rates and tax credits. Calculating gross pay given tax information.

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Transposition of formulae. Changing the subject of an equation. 

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Converting to standard form in both positive and negative powers