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Finding unknown sides/angles in right-angled triangles.  6 different combinations of unknowns are included in this single question. Makes my previous questions redundant

$x$ is given and (sin(x),cos(x)) is plotted on a unit circle.  Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.)

Student is asked to sketch $f(x)=\log_2(x)$, by plotting several points and selecting the correct graph.

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Find the dot product and the angle between two vectors

A quadratic function $ax^2+bs+c$ is given. Six parabolas are sketched. Question is to select the correct parabola.  Need to consider the y-intercept, the coefficient of x^2, and the x-coordinate of the minimum/maximum point.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

Student is asked to sketch $f(x)=2^x$, by plotting several points and selecting the correct graph.

Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

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Choose Ferrous Metal

This question aims to test understanding and ability to use the laws of indices.

Rolling a pair of dice. Find probability that at least one die shows a given number.

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.

Five graphs are sketch. Task is to select those that look like parabolas/quadratics.

Thermoplastics

A second worked example about combinatorics.