Numbers and Shapes | Free Math course | Alison

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Strand 3 Leaving Certificate Ordinary Level Numbers and Shapes - Revised

This free project maths course looks at Numbers and Shapes, an important topic in the Irish Leaving Certificate.

Series and Sequences
Free Course
This free online Leaving Certificate course teaches you numbers and shapes to an ordinary level standard. This free course on Numbers and Shapes was designed online to support any student studying maths in their Leaving Cert. It will also be very helpful to anyone studying maths in this particular area. This 'Numbers and Shapes' topic can be seen in the ordinary level Project Maths Course in the Irish curriculum.





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Numbers and number patterns are the basic building blocks of algebra and arithmetic. And we cannot escape using numbers in our everyday lives. We use count through the minutes and hours of our day with our clocks. We count out cash to pay bills and take a flutter on the lotto by choosing our numbers.

Applying Arithmetic and Geometric series in finance is examined through investments and loan repayments. Using AER (annual equivalent rate) and APR (annual percentage rate) when calculating your repayments is examined. Students then look at the concept of a complex number. They are shown how to multiply, divide, add and subtract complex numbers.

Complex numbers can be used to represent the current flow in a circuit and they are widely seen in electronics generally. Numbers are used to measure the perimeter and area of many shapes (hexagons, rectangles, triangles and circles) and we also try to work out the volumes of solids such as cones, spheres, cylinders and hemi-spheres.

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Length, Area and Volume

Course assessment

Learning Outcomes

Having completed this course students will be able to:

  • Identify how to write numbers in the standard form or scientific notation and back to decimal form
  • Discuss how to work with indices when fractional, index power 0, and negative
  • Define what rational, irrational and imaginary numbers are
  • Discuss what percentage profit is and the differences between mark-up and margin profit
  • Calculate percentage changes using multipliers
  • Calculate the depreciation of value on items
  • Identify the two methods for calculate the annual percentage rate
  • Calculate the income tax, universal social charge, and PRSI on your paycheck
  • Calculate the area of a Circle, Triangle, trapezium, and Compound shapes
  • Calculate the volume and surface area of 3- dimensional shapes/objects
  • Calculate the area of a sector, arc and segment of a circle


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