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Profit and Loss, Percentages

A couple of different ways of asking the student to enter a large number, to get around the floating point imprecision problem.

Create a truth table for a logical expression of the form $(a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d)$ where $a, \;b,\;c,\;d$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3}$ one of $\lor,\;\land,\;\to$.

For example: $(p \lor \neg q) \land(q \to \neg p)$.

Finding the cost including VAT

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Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.

Questions about logical predicates, and basic set theory concepts.

Questions about logical predicates, and basic set theory concepts.

Simple inequalities - finding values of x

Volume of pyramids (also works for cones)

Question about the volume of spheres

Questions about the volumes and surface areas of cuboids.

Area and perimeter of trapeziums

Area and perimeter of parallelograms

Area and perimeter of triangles.

Area and circumference of circles

Area and perimeter of rectangles

Implicit differentiation.

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

Questions on angles on parallel lines (vertically-opposite, alternate, corresponding and co-interior), and angles along a straight line and in a circle.

Exam about types of angle - acute, right, obtuse, reflex.

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

Differential equations.

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