Strand 3 Junior Certificate Ordinary Level Numbers and Shapes - Revised

Gain better understanding of complex numbers and learn how to add, subtract, multiply and divide them.

Series and Sequences
Free Course
Numbers and Shapes is one of the strands of the new Project Maths Course in the Irish curriculum. The concepts of numbers and number patterns are the basic building blocks of arithmetic and algebra. In this free online course, you will study large numbers and decimals, indices, profit, markup, and margin. This course will also cover simple and compound interest, show you how to find the area of different shapes, and more.
  • Duration

    2-3 Hours
  • Assessment

  • Certification

  • Responsive





View course modules


This course will first introduce you to the proper method of changing decimals, small numbers, and large numbers to standard form. You will study how to work with indices and all types of positive and negative fractional indices. You will learn how to compute for profit, markup, and margin, as well as study interest, rate, principal, and period. You will also touch on the topic of percentage loss, percentage changes using multipliers, reverse percentages, VAT, and compound interest.

You will then study the circumference of a triangle and the area of a circle. This course will also teach you how to find the radius and diameter of a circle from its perimeter as well as from its area. You will learn how to find the area of a trapezium, acute-angled triangle, obtuse-angled triangle, rectangle, and parallelogram. In addition, you will be taught how to find the area of a compound rectangle.

Numbers are so important in our everyday lives. Upon the completion of this course, you will have a much better understanding of complex numbers as well as understand how to add, subtract, multiply and divide them. You will also find it much easier to measure the perimeter and area of various shapes such as triangles, rectangles, hexagons, and circles. Check out the course and learn more about the concept of complex numbers today!

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Learning Outcomes

Having completed this course you will be able to:

  • Examine how to work with number systems including indices,  arithmetic series and geometric series
  • Demonstrate how to add, subtract, multiply and divide complex numbers
  • Identify how to calculate simple and compound interest
  • Demonstrate how to calculate AER (annual equivalent rate) and APR (annual percentage rate)
  • Calculate the length, area or volume of a shape or segment


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire official Certification, which is a great way to share your achievement with the world. Your Alison Certification is:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

Alison offers 3 types of Certification for completed Certificate courses:

Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping

All Certification is available to purchase through the Alison Shop. For more information on purchasing Alison Certification, please visit our faqs. If you decide not to purchase your Alison Certification, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certification pricing, please visit our Pricing Page.



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