# Interest

## Practise calculating simple interest and compound interest on investments and loans.

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This is level 1; Investments earning simple interest. Give your first nine answers to two decimal places. You can earn a trophy if you get at least 9 correct and you do this activity online.

 Find the amount of interest earned if... ...£590 is invested at 1% pa simple interest for 7 years. £ ...$890 is invested at 1% pa simple interest for 12 years.$ ...€292 is invested at 3% pa simple interest for 7 years. € Find the total amount available if ... ...£820 is invested at 1% pa simple interest for 6 years. £ ...$280 is invested at 3% pa simple interest for 19 years.$ ...€816 is invested at 1% pa simple interest for 16 years. € How many years would it take for ... ...£1040.00 to be accrued after £800 is invested with 5% pa simple interest. Years: ...$2245.80 to be accrued after$1970 is invested with 2% pa simple interest. Years: ...€663.68 to be accrued after €488 is invested with 2% pa simple interest. Years: What was the initial amount invested if... ...£470.40 is accrued after 3 years invested with 4% pa simple interest. £ ...$5713.20 is accrued after 8 years invested with 1% pa simple interest.$ ...€266.76 is accrued after 17 years invested with 1% pa simple interest. €
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This is Interest level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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## Description of Levels

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Percentages - Before starting the Interest exercise make sure you are confident finding percentages of quantities.

Compare: - A table to be filled in Comparing the results of investing with simple interest against the results of investing with compound interest.

Level 1 - Investments earning simple interest

Level 2 - Investments earning compound interest

Level 3 - Loans accruing compound interest

Level 4 - Appreciation and depreciation

Level 5 - Interest calculated half-yearly, quarterly or monthly

Level 6 - Additional payments made during the investment period

Level 7 - Artificial intelligence generated questions

Overdraft Charges - Do you understand how your bank charges you for taking out an overdraft?

Amortisation and Annuities - An exercises containing problems about gradually paying off loans and calculating pension plans.

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Simple Interest Formulas

$$\text{Interest earned} = P \times \frac{r}{100} \times n$$
$$\text{Final amount} = P + P \times \frac{r}{100} \times n$$

$$P$$ is the principal, the amount originally invested.

$$r$$ is the rate of interest expressed as a percentage.

$$n$$ is the number of years the amount was invested for.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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