Grade 12 Past Papers Maths
We supply thorough, step by step, hand written, detailed explanations and solutions to math problems in Grade 11 and Grade 12 past exam papers.
All our papers have been complied by mathematics lecturers with more than 5 years lecturing experience at the University of Johannesburg
Some Hepful Tips on How to Study Grade 12 and 11 Maths
If you’re trying to really get to grips and understand what’s going on with maths, here’s some ways to do that.
Firstly – If you are in a classroom and your teachers giving you a lot a examples, take notes, write this stuff down, no one’s expected to learn this the first time, get it in their head and memorize even thing perfectly, almost nobody can do that.
So take lots of notes, as you’re taking the notes, get this in your head… you can do this, this is not beyond you, if you have the prerequisites, if you’ve gone through some math classes, you can do it, don’t let any teacher stand in front of you and make you believe that you’re not able to do this, you’re worth it, and you are worth the experience of learning, you’re worth the money that you’re spending to do this, you’re worth your time, so you can do it!
Don’t let anybody tell you that you can’t learn this stuff, so get a little bit of confidence that it is possible to do this!
Don’t be afraid to ask questions in class!
So… 1. take some good notes
2. You can do it!
3. If you’re thinking that you’re not doing coping, or your teacher is not doing a great job, ask questions, ask the person standing in front of you questions, its their job!
Their job is to get the information from the textbook to your mind, if you feel they are not doing that, ask them questions.
So those are three big ones right there, beyond the taking good notes I’m going to give you some study tools now.
Okay so you get home, you open up your books and you don’t remember this stuff, what the heck do I do now.
Go Through Your Notes
Well firstly, if you’ve taken good notes and you can go back through those examples and you’ve asked questions, on like, how did you get the step?”, “where did this come from?” the first thing you do before you even start your homework, go through your notes.
The examples that your teachers given you, do those examples again, and follow the notes that they given you step by step. Do it until you actually get it! Do it until you CAN do it!
Once you’ve done that, try your homework.
Don’t Beat Yourself Up
Go do as much as you can, the stuff that you can’t don’t worry about it yet, don’t beat yourself up!
If you’re spending time on a problem and you don’t get it yet, that’s okay, you’re not expected to get it right away.
It does take frustration to get it, frustration is your minds first attempt to cope with new information.
So it’s going to be frustrating, that’s to be expected! ]
No don’t get angry with it, that puts up a filter in your mind so you literally can’t learn, it’s like when you’re in a conversation with somebody and you start yelling and they start yelling back at you, no one’s actually listening anymore, it’s kind of the same thing.
In your mind, when you get angry at a math problem you’re literally defeating the purpose, you’re not gonna win like that, so take a break, Calm down, come back a bit later and start your homework again, go back to it, if you need your notes, use your notes.
Now here’s an important part, so once you’ve taken good notes, you understood that you can do this, you asked some good questions in class to clarify the notes, that’s a big deal folks… you gotta get that.
Put Your Notes Away
You’ve gone home, you started your homework, you’re gone through all the stuff that you can do, you use your notes if you had, here’s the big one… put your notes away and see if you can still do it.
If you can do those problems without your notes, you’ve learned something.
But if you find that you cant do the problems without your notes, what has happened is that you have not internalized the information, you have seen it and you do it by following the recipe but you don’t understand it.
That’s what we want to get to, is that synthesis and evaluation level of understanding, where you can actually do this stuff, by not just regurgitation the info but actually understanding.
Putting in The Work
Now what it takes to get there, is going through your homework, this practice and actually putting in the work but not only just following someone else’s work, you can’t just expect your teacher to do it in class and you get it right away, you got to practice this stuff.
There’s a way to practice, don’t practice all the time by following someone else’s work. That’s a poor way of learning, it’s possible but it’s not the best, if you think about it this way.
I play guitar and I sing, if I ever want to memorize a song, I never do it by just reading the music over and over again because when I’m reading it, I’m not memorizing it enough, I’m not internalizing it to get it, I actually have to practice without looking at the music to really get it down.
That’s kind of the same thing with maths you need to be practicing without your notes all the time, …so we’ve taken good notes, we know that we can do it, we asked some good questions and practiced our homework , but we need to put our notes away and practise without them.
Maths is Like Lego
Maths is kind of like Lego, you build the foundation blocks first, you do the next level, so on and so forth, you get to the top, but we tend to forget about the first stuff we learnt in Maths.
So, for example, if you’re in a math class and you’ve spent four weeks between tests, if you don’t go back and refresh your memory on those first steps that you’ve learned, four weeks later do you really think that you’re going to remember it?
That’s not going to happen, so when you’re going on to your next section, create something I like to call a spiral, so what I mean by that is, if you’re gonna be on let’s say Section 5, point 5, go back and spend fifteen minutes, on re-looking at point 1, just read through it and go through your notes, just read through some examples, you don’t even have to do anything with it, just to keep it fresh in your mind before you start any new sections.
Spending 15 minutes looking at the old stuff ,I promise you, it will help you, just getting that recollection back in your head, that repetition, I’m not talking about note memorization here, please don’t confuse that, what I’m talking about is getting yourself exposed to the material one more time. Thinking through it one more time. So you get to that pint where you can say to yourself, “oh yeah, I remember that” or “Oh, factors, right that’s what we do there”, etc. etc.
Because when we do that we’re hitting that event in our head one more time, we internalizing that information one more time and that’s a big point!
So don’t forget to do that.
So, just to recap…
- you take good notes
- you asked questions
- you have gone through your homework
- you’ve done it on your own
- You’re spiraling information and then you get to your test
Now – Here’s how to study for your test
What you don’t do, you don’t just arbitrarily go back through your homework and go at all, that’s ridiculous.
If your teacher is a really nice guy or girl and has given you a study guide, they’re helping you, they want you to be successful.
If they give me a study guide here’s how to use it,… put away everything that you have and try to do the questions on the study guide blank, with no notes in front of you.
If your teacher allows you little note cards, use them, that’s fine. But try it without your notes and examples, see if you can do the problems, this is called Directed Studying, so if you can make it all the way through that study guide and you haven’t looked at your notes, that’s a great confidence builder, that’s awesome! great job!
If not, well now you have some specific areas that you need to study, that’s a time saver.
So let’s say you know how to do problems 1. 3. 4. and 7. , now you can focus on 2. 5. And 6.
Yes of course, look through 1. 2. 5. 7. but spend the majority of the time on the stuff you’re missing, and on the stuff you have. So we’re not spending equal time on these concepts that we know already, that’s crazy, then you can’t focus on the stuff that you’re weak on.
So that those are some really good ways that you can study, the biggest takeaways from this are,…
Take good notes
Start those examples from your notes before your homework (you’re gonna do better to homework)
Do your homework without your notes next to you if you can , that’s a big deal try that see if you can do that, if you can awesome, if you can’t practice that concept more, some concepts are harder to grasp than others
After that as we’re practicing our homework you’re spiraling – so you’re looking back at your first sections you’re getting that always repeating that, always getting that back in your head, just 15 minutes before you start. 15 minutes a day, I know it looks a lot but just try that, you will succeed at it.
When you get to the test, you do your study guide, hopefully your teachers give you a study guide, if not well then you’re gonna go back through your notes and homework like you you’re gonna have to.
But if you have a study guide, go through it without any notes next to you, if you can do it awesome, if not, go back to your weak points and keep doing that until you can actually go through the whole thing, no notes, it’s gonna take some time but then again, you shouldn’t be doing a study guide a day before your test.
Start about a week ahead, or if you have a study guide that’s given to you, start as soon as you receive it because that will give you time to, “kind of” rehearse taking the test or to practice taking the test, those are test taking skills right there .
So that’s the best I have, that’s how I was able to make it through my masters level math classes, was with those techniques .
I’ve done pretty well at it and I’m trying to pass it on to you because what I found is that no one’s giving you this information, people are always telling you that it’s really hard and just study but no one knows how to study, the above info is how you must study.
So the test that you’re about to take, remember, they’re not impossible you can totally do it, but you’re just going to need to put in the time but now you know where to place that time, not just randomly on notes, not just in a textbook, flying through it try.
So please, try what I’ve given you, if you’ve taken good notes and you’ve practiced the homework without those notes and you’ve done your study guide and you’ve worked on your weak points, I’m not saying you’re gonna get 100% for your test, I don’t know, but hopefully you will but they will seem a little bit more manageable for you.