Math Worksheets and Video Tutorials for High School and IB Math
Math Worksheets and Video Tutorials for High School and IB Math

The silly math mistakes we have made in class

Exam time is fast approaching and the goal is to get collect as many marks as possible on the exam.  The easiest way to collect marks is to minimize the number of “silly” math mistakes made.  What are silly mistakes?  I’m not even sure I can replicate all the silly mistakes I have seen, notice and point out to students that cost students marks.  In many cases, even students can’t believe the mistakes they make when they get their tests back.   Sometimes it costs students that one mark that is the difference between a pass and a fail.  Some examples of silly mistakes:

Silly mistakes

  • Dividing by zero
  • Basic arithmetic errors
  • Errors while working with fractions
  • Computational errors
  • Not answering the question being asked
  • Not showing your work completely
  • Rushing
  • Not attempting a question

How to overcome silly mistakes

  • Check your work.  It may seem like it’s a waste of time to check your work but when you’re in that exam writing environment, anxiety and stress levels are higher and it is easy to make mistakes and not notice them.  But, when you go over your work after a few minutes have passed, with “fresh” eyes, you will notice things you didn’t see the first time around.
  • Read the question.  Read all the questions before starting the test or exam.  Why, you may ask?  It’ll give you and idea of what to expect so there are no surprises as you go through the exam questions.  You can budget your time based on what the questions are.  You can gauge what you know and what you don’t know and as a result this will help you budget your time, energy and efforts.
  • If you get stuck on a question, leave it, go on to another question and return back to that question you were stuck on.  Go over what you were doing and you may see error in your ways or try attacking the question with a different approach.
  • Writing your solution out in detail can sometimes help find little mistakes.  Sometimes trying to do too many steps at one time or in your head can lead to errors that can’t be found but have been made and get carried out throughout the rest of the solution leading to the incorrect answer.

Some of the methods to overcome silly mistakes are more applicable for tests or exam situations. However, getting into the habit of practicing these methods all the time will make the methods outlined above second nature and a true habit that you’ll always apply.

Let’s take a look at some of the more common silly mistakes.

dividing by zero mistake
Example of dividing by zero incorrectly.
computational error, evaluation error, silly mistakes
This is an example of a computation error when solving for y.
computational, arithmetic errors with fractions
Some examples of the errors that occur when doing arithmetic with fractions.
No work shown.
Here is an example of no work being shown so there is no possibility of part marks.

References:

  1. How to Avoid Silly Mistakes in Calculation?, Nikhil, Mar 2017, toppr, URL: https://www.toppr.com/bytes/silly-mistakes-calculation/
  2. Why students make silly mistakes in class (and what can be done), Oct 2015, The Conversation, URL: https://theconversation.com/why-students-make-silly-mistakes-in-class-and-what-can-be-done-48826
  3. How do I avoid making silly errors/mistakes and stay focused?, Rachel Wisuri, Dec 2019, Magoosh, URL: https://magoosh.zendesk.com/hc/en-us/articles/203446319-How-do-I-avoid-making-silly-errors-mistakes-and-stay-focused-
  4. 5 Top Ways to Stop Making Silly Mistake on Math Tests, Katie Weisman, July 2019, Mek Review, URL: https://mekreview.com/5-top-ways-to-stop-making-silly-mistakes-on-math-tests/
  5. How to Stop Making Silly Mistakes on Math Exams, Yvanne, Oct 2017, Composed & Collected, URL: https://composedcollected.blogspot.com/2017/10/stop-making-silly-mistakes-on-math-exams.html
  6. 7 Tips to Avoid Carless Mistakes in Your Math Exam, Practice, URL: https://practicle.sg/math-exam/careless-mistakes-in-math/
  7. Stop Making Stupid Mistakes, Richard Rusczyk, Jan 2018, AoPS Art of Problem Solving, URL: https://artofproblemsolving.com/news/articles/stop-making-stupid-mistakes
  8. How to stop making silly mistakes, 9 years ago, The Student Room, URL: https://www.thestudentroom.co.uk/showthread.php?t=1499785