Example showing how to calculate the probability of A or B using the law $p(A \;\textrm{or}\; B)=p(A)+p(B)-p(A\;\textrm{and}\;B)$. 

Easily adapted to other applications.

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Asks students to compute conditional probabilities based on a frequency table.

Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$

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

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Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.

Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.

Simple Percentages

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A student selects a card from a deck of 52 and rolls a dice once.

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Independent events in probability. Choose whether given three given pairs of events are independent or not.

Multiplying and dividing decimals

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A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

A random heating question, that randomly picks a material, and then heats it, then plunges it into water. The student must calculate the energy change in the water, and use this to calculate the original temperature of the material. 

Basic indefinite integrals, Basic definite integrals, integration by substitution

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Simplify algebra expressions

Integration by Parts

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Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

Indefinite Integrals

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Definite Integrals

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Antiderivatives

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Finding the stationary points of a cubic with two turning points

Multiple solutions of sin(x)=random  0<=x<=360

Practice dividing polynomials using the long division method.

3 questions on factorising quadratics. The second question also asks for the roots of the quadratic. The third question involves factorising quartic polynomials but which are quadratics in $x^2$.

5 indefinite integrals containing exponential functions

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Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$