This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Given a graph, the student is asked to determine the quadratic function.

Testing addition, multiplication and division involving negative numbers.

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

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$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

aij  notation and definition of the order of a matrix.

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Let $x_n=\frac{an+b}{cn+d},\;\;n=1,\;2\ldots$. Find  $\lim_{x \to\infty} x_n=L$ and find least $N$ such that $|x_n-L| \le 10^{-r},\;n \geq N,\;r \in \{2,\;3,\;4\}$.

Questions on differentiating with the chain rule and product rule.

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

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5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

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

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Express $f(z)$ in real-imaginary form, given that $z=x+iy$, where $f(z)$ involves hyperbolic functions.

Express $f(z)$ in real-imaginary form, given that $z=x+iy$.

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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