Students enter equation and turning point

Students enter equation and turning point

Given the original formula the student enters the transformed formula

Simple trig equations with radians

Finding lengths of sides of triangles

Simple trig equations with radians

Convert degrees to radians and radians to degrees.

Students enter equation and turning point

Students are given a graph of a cubic, and are asked to find the equation for it.

Students are given a graph of a cubic, and are asked to find the equation for it.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Factorising polynomials using the highest common factor

This question asks a student to draw a straight line graph by dragging points.

Expanding and simplifying an expression.

Using BODMAS within mathematical expressions

Using BODMAS within mathematical expressions

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Multiplying two 2 x 2 matrices.

aij  notation and definition of the order of a matrix.

Factorising basic quadratics.

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

Converting binary numbers to decimal; includes twos complement.

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

A few questions which show off the new matrix entry part.

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

rebelmaths

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Practice using the log rules to add and subtract logarithms

edited steve kilgallon's question to add answers to the advice for paper grading.

Footballer expects to score in a/b matches.