Questions about percentage and ratio, applied to finance.

Based on section 3.2 of the Maths-Aid workbook on numerical reasoning.

Multiplication of $2 \times 2$ matrices.

Drug Calculation based on weight

Question on drug calculations

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Laws of indices

Intorduces students to the definition of a function $f:A\mapsto B$ as a subset of the Cartesian product $A\times B$.

Slightly harder introductory exercises about the power set.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Introductory exercises about set theory designed to prepare students for their first lectures on the subject.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Given three vectors with integer components, find the corresponding magnitude and direction.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

Using the reduction formulas for products of powers or sin and cosine

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A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Shows how to define variables to stop degenerate examples.

Simple Indefinite Integrals

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Simple Indefinite Integrals