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

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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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A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest

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Find i using compound interest formula A=P(1+i)^n

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To provide for retirement an employee deposits R at the end of each month in an account that earns $perc% annual interest compound monthly. What is the future value of the annuity in nyears?

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25 questions on solving quadratic equations

Some quadratics are to be solved by factorising

A 1-year lease for a company car requires a payment of €280 at the end of each month. Find the present value of these payments if the annual interest rate is 7% compounded monthly.

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Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

Calculate the final amount in a savings account where compound interest is earned annually 

Compare two savings accounts with different interest rates.

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Calculate the annual interest rate for a savings account where A, P and n are given.

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A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest

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Simplifying indices.

Simplifying indices.

Substitute given values into formulas.

This exercise will help you solve equations of type ax-b = c.

Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

Formative assessment to introduce the concepts of modular arithmetic.

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

Pythagoras' Theorem and naming sides of right angled triangle

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Draws a triangle based on 3 side lengths.

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.