Skip to content

Online Math Center

Home Geometry in Math Competitions

Geometry in Math Competitions

Geometry in Math Competitions

Middle school students are often prepared for math competitions with a focus on algebra, especially number theory. However, geometry might come as a surprise in the second part of the exam paper, if students don’t practice it as much as algebra. There are several geometry exercises present in math competitions, so check them below so you are not taken by surprise. 


Types of geometry exercises in math competitions

By looking at the exam papers published by the American Mathematics Competitions, you can get familiar with the type of exercises that are introduced in math competitions. Keep in mind the fact that AMC exam papers start with easy exercises, then the level of difficulty increases with each exercise. AMC 8, for example, is dedicated to middle school students and by looking at the last years, the most common types of geometry exercises were:


About triangles 

Mathematics surrounding triangles is the most common in olympiads or math competitions. During an examination, students are allowed to use scratch or graph papers, rulers, compasses, and protractors, so make sure you benefit from these tools. In 2019, the AMC 8 examiners introduced the following geometry problem: 


geometry


There are three ways in which this problem can be solved. But, first, try to solve the problem on your own, then check your answers. 


geometry

geometry


About measurements

In 2020, middle school students taking the AMC 8 competition had to solve hybrid geometry problems, just like the ones below: 

geometry


FInd out the correct answer, then check your answer here

geometry

Do you know how to solve it? Problem-solvers are giving us three ways in which we can reach the ultimate answer.


About logical thinking 

Since we’re at the front steps of the 2023 AMC 8 for middle school, it helps to take a look back at the exercises published for the 2022 math competition. Within the last questions of the AMC 8 in 2022, students have to solve the following question:

geometry

Check out the solutions here


A or is placed in each of the nine squares in a -by- grid. Shown below is a sample configuration with three s in a line. How many configurations will have three s in a line and three s in a line?


Check out the solutions here


Since AMC is about increasing the level of difficulty with each question, the next to last problem in the 2022 math competition was the following: 

geometry


Are you ready for your next math competition? 

At the Online Math Center, our tutors offer diverse and personalized programs in order for each student to feel confident in solving problems. Math competitions will be a fun challenge once you start your online training with the OMC.


Contact us and start your math endeavor with OMC! 

Step Two

Let us know how to contact you. One of our representatives will get back to you shortly.

    By clicking the «Try it» button, you agree to our Terms of Use and Privacy Policy*

    Step Two

    Awesome! We need to get in touch with your parent or guardian for further discussion. Please check in with them before filling out the form below with their information.

      By clicking the «Try it» button, you agree to our Terms of Use and Privacy Policy*

      Step One

      It only takes two steps to schedule an appointment with an OMC representative.

       

      To get started, please tell us who you are:

      Thank you!

      Please check your inbox for more information about your lesson.

       

      If you did not receive a message from us, please check your email’s “Spam” folder.

      Dear Parent!

      Thank you for placing your trust in us to educate your child!
      Please check your inbox for more information about your child’s program and schedule.

      Congratulations on joining the Online Math Center!
      See you in class.

      Step One

      It only takes two steps to schedule a free lesson with an OMC representative.


      To get started, please tell us who you are:

      Payment

      0%
      0%

      Error: Contact form not found.

      By clicking the «PAY» button, you agree to our Terms of Use and Privacy Policy*

      Payment amount: $323.00

      Secure payments by Stripe.

      We do not collect your credit card on our servers.

      Thank you!

      Our manager will be in contact with you shortly.

       

      Please check your inbox for more information. If there is no message from us, please check your email’s “Spam” folder.