Given a graph of some line or curve - the student is asked about the nature of the map and whether it constitutes a function.

Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.

Differentiate $f(x) = x^m(a x+b)^n$.

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

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

Draws a triangle based on 3 side lengths.

Draws a triangle based on 3 side lengths.

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Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

rebelmaths

A second worked example about combinatorics. 

A worked example about polynomials. 

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This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.

Finding x and y values for straight line graphs

Looking at gradients and values for x and y for straight-line graphs

Given the graph of the line determine the equation of the line.

Given one point and the gradient determine the equation of the line.

Calculating gradients

Identifying the gradient from a straight-line graph equation y=mx+c

Calculating gradients

Identifying the intercept from a y=mx+c equation

Find the lowest common multiple and highest common factors of given numbers. Also a question on identifying prime numbers.

The subtraction algortihm using the borrow and pay back method with integers.