Indices and Roots

Questions based on Exercise Intro(b) from the Textbook "Engineering Maths through Applications" by Kuldeep Singh.

Intended for use as Homework Exercises.Indices and Roots

Calculations in $\mathbb{Z_n}$ for three values of $n$.     

Express various integers and rationals mod $\mathbb{Z}_3, \;\mathbb{Z}_5,\;\mathbb{Z}_7,\;\mathbb{Z}_{11}$

Questions about percentage and ratio, applied to finance.

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

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.

Calculating the volumes of different containers

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Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Volume Problems

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Another transposition question.

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

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Given $5$ vectors in $\mathbb{R^4}$ determine if a spanning set for $\mathbb{R^4}$ or not by looking for any simple dependencies between the vectors.

Using Pythagoras' Theorem to find a missing side. Illustrated using simple Eukleides diagram

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Calculating percentages, VAT, Profit, Loss

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Profit and Loss, Percentages

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Profit and Loss, Percentages

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Laws of indices

Currency Conversion

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Currency Conversion

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No description given

Refresher questions on topics in algebra that students beginning a maths undergraduate course should be familiar with.

An investment of x invested today will give a return of €y in n1 years time and a further €z n2 years from today. Calculate the net present value (NPV) of the investment given that the discount rate is perc% per annum.

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An investment of €x invested today will give a return of €y in n years time Calculate the net present value (NPV) of the investment given that the discount rate is 3.5% per annum.

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A credit card company charges compound interest at x% per month 
on unpaid balances.

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