Simple procedures are given and student is asked to carry them out or un-do them.

Version 1: i and ii have the same answer. iii and iv both have two answers.

Version 2: i and ii have different answers. iii has two answers,biv has one answer.

Version 3: i and ii have different answer. iii has one answer, iv has two answers.

Version 4: i and ii have the same answer. iii has one answer, iv has two answers.

Simple procedures are given and student is asked to carry them out or un-do them.

Version 1: bi and bii have the same answer. biii and biv both have two answers.

Version 2: bi and bii have different answers. biii has two answers, biv has one answer.

Version 3: bi and bii have different answer. biii has one answer, biv has two answers.

Version 4: bi and bii have the same answer. biii has one answer, biv has two answers.

A function of the form f(x)= sin(ax+b) is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.

A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.

$f(x)=   c\ln(ax^2+bx)-x$ is sketched. A tangent is also sketched. The equation of the tangent line is asked for. Shorter because in the original, I also ask for the $x$-coordinate of the maximum point.

A parabolic graph is given. The question is to determine the equation of the graph. Non-calculator. Advice is given.

A graph of a straight line $f$ is given. Questions include determining values of $f$, of $f$ inverse, and determing the equation of the line. Non-calculator. Detail advice is given.

Find a regression equation.

Simple Linear Equations, substitution

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

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Factoring a quadratic equation

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

First- and second order recurrence equations, homogenous and nonhomogenous

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$.

Finally, find all solutions of an equation $\mod b$.

Find the equation of the straight line perpendicular to the given line that passes through the given point $(a,b)$.

Solve an exponential equation for radioactivity

Solve an exponential equation

This exercise will help you rearrange some complex equations.

Students enter equation and turning point

This exercise will help you solve equations of type ax-b = c.

Find the solution of a constant coefficient second order ordinary differential equation of the form $ay''+by'+cy=0$.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Students enter equation and turning point

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Match up equations with the corresponding lines on a graph.

Match up equations with the corresponding lines on a graph.

Students enter equation and turning point