Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths

Practising past exam questions is essential if you’re looking to score highly in Maths. Similar question types come up regularly; but you still need to revise all the topics on your course, as the Maths exam isn’t predictable anymore. Both sections (A and B) at Leaving Cert higher and ordinary levels are equally important and the correct amount of time must be left for the longer questions in Section B, as they tend to require more thought.

The new Maths syllabus at both Junior and Leaving Certificate level is quite crowded with a lot of material to get through, not to mention trying to link up topics in true Project Maths style. Incidentally ‘Project Maths’ was the name given to the subject ‘Mathematics’ when it was changed and rebranded in 2008. It has now reverted to ‘Maths’ after this bedding in period.

Why Past Exam Questions are Key

With so much to cover during class time, it is difficult for teachers to expose their students to any substantial level of exam questions during term time. The reality is that many teachers will only fully complete the course after Easter, through no fault of their own. It is up to each individual student to dust off the exam papers (usually purchased in September) and start by initially attempting part (a)’s and (b)’s of past exam question. You should initially focus on topics you have covered yourself in class in order to build up your competence.

‘Do an exam question a day, and start today’

I would recommend attempting exam questions, to the best of your ability, with guidance from your textbook and class notes. Subsequently, refer to a good solutions book to see how accurately you are progressing. With an unprecedented level of detail, my exam paper solutions (ACE Solution Books) at both Junior and Leaving Certificate levels are an ideal companion to complete this process efficiently. This puts you in a much more commanding position when your teacher does commence past exam questions in class. You should start by practising and familiarising yourself with the language used on past papers. Waiting until they appear on the board in class isn’t good practice in my opinion. This also applies to 5th year students.

Your exam paper focus should always be on practising previous official state exam questions under time pressure. Replicating exam hall pressure is a brilliant way to hone your skills and really check if you can complete the question asked within the time limit allocated. I would start by taking on a short question or two against the clock, and then a longer question, until eventually you feel confident enough to take on a full paper. Constantly doing questions out from your textbook will never fully prepare you for a full sit down test paper in Maths.

How to use Past Exam Questions to your Advantage

Leaving Certificate Maths examines your analytical and critical skills. Most of the questions asked tend to be calculation-based. Hence, it becomes essential to solve as many questions as possible in your revision preparation. Some key preparation tips to keep in mind while tackling past papers are:

  • Solve as many past exam questions as possible from every topic that you study. This will help you understand the type of questions asked. It will also indicate how near or far you stand from your target score in the subject. Also, estimate how an examiner would have graded you on your efforts by comparing your solution against a detailed solution book.
  • Maintain an error-log on mistakes you keep making. This will help you get to know your weak points and what traps you regularly are falling into.
  • Everyone has deficiencies in Maths. To overcome these, attempt extra questions from topics you struggle with. Start with questions you can do. This will build confidence and reduce anxiety on topics you are concerned about.
  • When solving questions, make a habit of always timing yourself. Buy a stopwatch. This will help you improve your speed and manage timing better during the actual exam.

Doing an exam question trial at home every week will improve your speed and accuracy for the final exam, and after some time you will cut out silly errors and feel calmer about tackling a full paper. This process will give you the belief that you can get the awkward question started or tackle the unseen graph/diagram on the day.

 Commence a Strict Diet of Past ‘Exam Questions’ Today

If I was in 6th year, i would move quickly now onto the strict but ultimately rewarding ‘Past Exam Question’ diet. Here are some directions to consider as you trawl through good quality past exam questions and their solutions over the next few months:

  • You need to get practicing multiple real life application questions
  • You need to get familiar with marking schemes and how marks are allocated
  • You need to practice exam questions under time pressure
  • Constantly strive to get used to the wording, layout, and style of past questions
  • Get accustomed to how the examiners are phrasing exam questions now
  • Be conscious of the fact that there is extra text and less numbers on the papers now
  • You need to be aware that you now could be asked to explain your answer
  • Be able to justify your answer using Maths calculations
  • You need to practice question types that ask if you agree with an opinion and why
  • Practice different strategies for starting unseen/unexpected questions
  • Be familiar with the exact meaning of each word that appears on past papers. Joe.

To read last weeks feature article on ‘How to Construct your Revision more Efficiently’, click here.

*****

More details about Joe’s ACE Tuition (Maths and English) Classes for Junior and Leaving Certificate Students, ACE Maths Assessments, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W: acesolutionbooks.com

FB: facebook.com/JoeMcCormackEducationalExpert/

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*****

© Joe McCormack 2021

Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths

Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths
Joe’s Jotter: The Importance of Practising Past Exam Questions in Maths

Joe’s Jotter: Core Methodologies for Revising Maths at Home

In light of the current health threat and for the first time in a long while, students (and indeed their Parents) need to examine more closely the daily routine to ensure effective learning is happening as much as possible. Maths is a subject that tends to take up more time than others and hence 3rd and 6th years should use these circumstances to consolidate what they know and spend time on past exam questions and the use of language in it.

From this point of view, I would recommend that all exam students start a ‘Maths hardback’. Fill this hardback with new words, formulae’s not present in the log tables and keynotes. Divide the hardback into fifteen-page sub-topic sections. Secondly, being at home full time is a good opportunity to test yourself against the clock on full or partial past exam questions. Set these as your two main targets prior to returning to school.

Algebra is the Language of Maths

In Junior and Leaving Cert Maths, you need a good solid Algebra foundation to build on in order to excel in topics like Geometry, Trigonometry, Functions and Graphs and Probability. I estimate that Algebra is linked to at least twenty five percent of Maths exam papers at all levels now. Take time to understand the rules of Algebra especially those linked to expressions, functions, and graphs. I, one hundred percent think that Algebra is the most important topic in Maths. The words and phrases that appear on the course and in your past exam papers are equally as critical. The State Exams Commission (SEC) now place more emphasis on students knowing and understanding what things mean in Maths, than just being able to do numerical calculations.

There is more ‘English’ than ever on Maths exam papers, and it is crucial that you start familiarising yourself with these words. If you are not familiar with the words and phrases that appear on the paper, you may not even be able to get a question started. This would be an awful shame given the amount of time you have spent learning mathematical concepts on your course. If you have dyslexia, I understand that dealing with words in Maths is doubly difficult. You need to be aware that different words have a different meaning, depending on the subject you are studying. For example, the word ‘Evaluate’ in Maths is very different to its meaning in the subject English.

In my book ‘How to ACE the Leaving Certificate’ for all subjects, there is a full chapter advising how you can improve your Maths. In  the book, I present and explain one hundred sample key words and phrases to kick start your understanding of the language of Maths. This list is suitable for both Junior and Senior Cycle students, remembering that some of the more difficult words would not appear on a Junior Cycle paper. I would strongly encourage you to add to this list, investigating the exact meaning of words you come across. You will learn loads through your own investigations, thereby learning by doing.

I advise that every time you encounter a new Maths word or formula that you write down what it means to you in an A5/A6 hardback. This idea can be applied to all subjects and these hardbacks can be carried with you (literally) all the way up to sixth year. Using simple explanations that you understand in your hardbacks will help you recall what the words mean later. Being familiar with the words that appear on a Maths exam paper has now become a key component of success in the subject.

Test yourself at home in Maths

The more ‘exam smart’ you are, the better you will perform on exam day. I have seen the best students do their homework to perfection and really know their stuff but ultimately not reach their potential In Maths come June. Every year loads of super students misjudge the timing on the paper. It is imperative that you stick exactly to the allocated time for each question. In Leaving Cert Maths, you have twenty-five minutes to do a fifty marker (always divide the amount of marks by two to get the time).

You should now start timing yourself on past exam questions at home. At Leaving Cert level, part a’s and b’s of Section A are a good place to start. Attempt questions that look familiar first, maybe even consulting your book/notes from time to time. It’s all learning. Once completed, check your workings out against a good exam paper solutions book. If you have struggled to make reasonable inroads into answering, I suggest you re-write the steps of the full solution on a page, really thinking about why each step is important as you write it. Every few weeks, tackle some longer questions and write out the steps (in English) how you would solve it. This verifies the order of steps and method in your head.

There are many advantages to creating your own ‘home test environment’. You should constantly test yourself on material revised. During these mini home tests, I would use a stopwatch to ensure you are ‘sticking to time’ for each individual question part. This is vital across all subjects, but especially in Maths. In creating this little bit of time pressure, you are replicating the exam hall environment. Train as you propose to play is the idea here.

I am currently conducting Online Maths classes (via the comfort of your own home) for 3rd and 6th year students. For 3rd or 6th years who are not sitting a Mock examination in Maths this year or for those of you who want a Professional opinion on where you are at in the subject right now, check out the ‘ACE Maths Assessments’ section of my website below to see how it could suit your current needs. Get in touch with me If I can help you in any way. Stay healthy during these uncertain times. Joe

To view last weeks feature on ‘My Top Forty Benefits of doing Transition Year’, click here.

*****

More details about Joe’s ACE Tuition Classes for Junior and Leaving Certificate Students (Maths and English), ACE Career Coaching, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W: acesolutionbooks.com
FB: facebook.com/JoeMcCormackEducationalExpert/
#:   #JoesJotter

*****

© Joe McCormack 2021

Joe’s Jotter: Core Methodologies for Revising Maths at Home

Joe’s Jotter: Core Methodologies for Revising Maths at Home
Joe’s Jotter: Core Methodologies for Revising Maths at Home

Joe’s Jotter: Tips for Students Preparing for Maths Exams

Hello Students.

At this stage of the year, many of you are starting to think about your mock examinations in Maths. No matter what happens in the mocks, try not to be too hard on yourself as you still have plenty of time to improve in the subject. Please keep in mind that you have had little exposure to exam style questions, have not completed the full course and will not have attempted that length of any exam paper up to now. Go into the mocks and just genuinely try your best in all subjects. Use it as a way of getting used to the time available for each question. i.e. In Maths, always divide by two; you have twenty five minutes at most to complete a fifty mark question. Every subject has its own ‘time scheme’.

For those of you who may have Dyslexia or a learning difficulty, I would like you to view your exams as a challenge, not a threat. Thousands of students gone before you have achieved their wildest dreams so aim high and keep believing in yourself. Whether you are sitting the Junior Cycle or Leaving Cert, I would advise you to put a plan in place now so that you can revise efficiently and prepare properly. Start by listing out all the sub-topics you need to do for subject like Maths and tick them off as you get them covered. ‘Covering’ them means re-writing examples your Teacher may have given you in class and also trying an exam question on the given topic from a recent past paper. Testing yourself on short and long exam questions is the only way you will know if you truly understand it.

Twelve Top Tips to ACE any Maths Exam

Here are my top twelve tips to ACE any Maths exam – both in preparation along the way and facing the paper on the day.

  1. Do out a lifestyle (study) timetable to start next week. Make sure each weekly timetable contains variety, different ways of learning and plenty of breaks/rewards on it. Adjust it each week. Allocate thirty minutes to each topic revision slot. Give Maths extra time slots if it’s a subject you find difficult.
  2. Buy a small hardback and enter all the keynotes, new information learned and formulae’s that are not in your log tables into it. Divide it into the main topics on your Maths course so that you can easily find what you want when you need it.
  3. Make a note of all new words you learn in class each day. If you don’t fully understand the meaning of them, ask your teacher or google them. Write down (in your own words) their meaning into your hardback.
  4. Practice as many past exam questions as you can to get used to the wording, layout, style and marking scheme of them. Start with the easier ones you know.
  5. “Homework is the best form of study”. Approach all Maths homework as you would tackle an exam paper question. Complete it with pride, showing all steps.
  6. Practice questions at home. Time yourself on each question to familiarise yourself with ‘exam hall pressure’. Stick to the timing for each question. For Junior Cycle Maths, the time for each full question is written on the paper. It is extremely important to stick to the time for each question, as there may be a question you know well at the end of your exam and you won’t even get to it.
  7. Get a “Study Buddy” that will complete past exam questions for you and with you. You can meet up/e-mail and share your Information. This tactic can be used in all subjects.
  8. On the day of the exam, read the wordy questions three or four times and then re-read them again line by line. Underline key words with a red or green pen.
  9. Prepare for all exams the night before by checking you have all the materials you need. Always, double check any exam timetable for the next day.
  10. Don’t be afraid to express yourself in simple English if you don’t have the Maths for it. Remember that the State Exams Commission (SEC) encourages creativity and different ways of answering Maths questions.
  11. Buy yourself a detailed Exam Paper Solutions Book. Use it to double check against the attempts you are making. It will also help you to get started on more challenging ‘wordy’ exam questions. This is one of the biggest issues faced by Maths students right now. Practice and perseverance really help here.
  12. Start preparation today.

Lastly, the language of Maths is extremely important especially since the advent of Project Maths in 2008. The SEC now place more of an emphasis on students knowing and understanding what things mean instead of just been able to do numerical calculations. There are more words than ever on our Junior and Leaving Cert Maths exam papers, and it is crucial that you start familiarising yourself with them. Start now by recording the key words that have appeared on exam papers over the last six years.

Not being familiar with key words could mean not even being able to start a question. This would be an awful shame given the amount of time you have spent building up your core Maths skills. You need to be aware that different words have a different meaning on the paper depending on the subject. For example, the word “Evaluate” in Maths is quite different to what it means in an English exam. I believe that knowing the key words and phrases is now a key component of “ACE-ing” any Maths exam paper. Use this as your starting point now, no matter what year you are in. Joe.

To view last weeks feature article on ‘How to Prepare for Your Less Favourite Subject’, click here.

*****

More details about Joe’s ACE Tuition Classes for Junior and Leaving Certificate Students (Maths and English), ACE Career Coaching, and his Award winning ACE Maths Solution Books can be found via the links below. Be sure to pick up your copy today!

W:  acesolutionbooks.com
FB: facebook.com/JoeMcCormackEducationalExpert/
#:    #JoesJotter

*****

© Joe McCormack 2021

Joe’s Jotter: Tips for Students Preparing for Maths Exams

Joe’s Jotter: Tips for Students Preparing for Maths Exams
Joe’s Jotter: Tips for Students Preparing for Maths Exams

Joe’s Jotter: How to become more successful in 2021 Maths

Grasping a subject of difficulty is always a big challenge for even the best students. One of those subjects is too often Mathematics. Maths seems to have developed a ‘bad boy cred’ over the last twenty years, but I feel things are getting better slowly and I know students feel more positive about it since the introduction of Project Maths in 2008. In general, I think students are enjoying the more practical approach in the subject since the changes. The existing course is however still quite long, and you need to box clever in order to pin it down. Many students are still trying to come to terms with the amount of words on Maths exam papers and indeed how they link to the concepts. I totally get this. However, I still believe you can learn to grasp key concepts without being born a Maths genius.

People regularly ask me about this hypothesis, and I believe Maths is a subject everyone can do well in by being more open minded and willing to try different methods. For sure, your parents have a role to play here, so make sure and get them involved. Parents can get involved in homework from an early age and should be encouraged to send notes to the teacher if there is a particular area their child is struggling with. Above all, it is imperative that Parents pass on a positive attitude about Maths early in their child’s development. A ‘can do’ attitude gives the student belief that they can face problems in the subject and come through them. Encouragement and positivity are the most constructive way any parent can help boost their child’s ‘Maths conviction’.

Maths: Learning by Doing

To me, Maths is a subject where you need to be continuously ‘learning by doing’ and the importance of attempting exam style questions cannot be underestimated. Reading through questions and text like you do in other subjects will not work in Maths and having access to a structured solution book for exam questions is important. Inevitably with some challenging questions in the subject, you will run into difficulties getting started and this is where having the first line or two of the solution can be extremely helpful; a detailed solutions book is ideal for this. I believe that referring to the first part of a solution and then revisiting the question yourself is a very efficient way of developing key Maths skills. This technique isn’t one much practiced in other subjects.

You must adopt different approaches in Maths; it is unique. A genuine attempt to start a question in Maths will allow you to gain some momentum and progress to apply the concepts you have learned in class. In my experience, the biggest stumbling block to achievement in Maths is getting the question started; but a single grain of rice can tip the scales. In general, if you are finding it difficult to get started and feel lost in Maths, start by practicing the part (a) questions in your past exam papers and work your way upwards to part (b) and so on. If you are an exam student, go back on your 2nd or 5th year notes to refresh those key basics. The majority of students just fire notes from previous years in a corner. Past notes should be stored carefully in order to have easy access to it later. It’s amazing how much you will recall about what you wrote down and what advice your teacher gave you back then. Re-do some questions from then to start a Maths revision session. As you always hear me say, Algebra is jewel in the crown at all levels. Maths is about having a go, knowing the tricks, when to use formulae, consistent practice and really believing in your ability and the work you have done. Joe

To view last weeks Joe’s Jotter feature on ‘Parents & Primary School Children: Working in Harmony’ click here.

*****

More details about Joe’s ACE Tuition Classes (Maths and English), ACE Career Coaching, and his ever popular ACE Maths Solution Books for the Junior and Leaving Certificate can be found via the links below. Be sure to pick up your copy today!

W: acesolutionbooks.com
FB:
facebook.com/JoeMcCormackEducationalExpert/
#:   #JoesJotter

*****

© Joe McCormack 2020

Joe’s Jotter: How to become more successful in 2021 Maths

Joe’s Jotter: How to become more successful in 2021 Maths
Joe’s Jotter: How to become more successful in 2021 Maths