GCSE Maths AQA June 2017 Paper 3 Higher Tier Walkthrough (*)

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@MrTompkins 6 жыл бұрын

Get all your AQA past papers, mark schemes and video walkthroughs in one handy place! - mr.tompkins.online/aqa Question Timestamps for mobile users: 0:00:00 - Intro 0:01:45 - Q 1 - Operations with column vectors 0:02:34 - Q 2 - Properties of number with standard form 0:03:04 - Q 3 - Changing the subject of a formula 0:03:33 - Q 4 - Bearings 0:04:07 - Q 5 - Relative Frequency, expected outcomes 0:05:22 - Q 6 - Inequalities 0:07:00 - Q 7 - Error intervals 0:08:57 - Q 8 - Properties of shape, angles 0:10:28 - Q 9 - Probability 0:14:40 - Q10 - Angles in parallel lines with forming and solving linear equations 0:19:55 - Q11 - Ratios 0:21:54 - Q12 - Laws of indices 0:23:30 - Q13 - Mean averages 0:26:23 - Q14 - Direct/inverse proportion 0:27:03 - Q15 - Real life graphs 0:30:44 - Q16 - Compound Interest/depreciation 0:34:21 - Q17 - Speed distance time with ratio 0:40:49 - Q18 - Graphs of exponential functions 0:42:00 - Q19 - Circle theorems 0:44:22 - Q20 - Limits of accuracy 0:49:09 - Q21 - Quadratic Inequalities 0:50:28 - Q22 - nth term of a quadratic sequence 0:54:31 - Q23 - Quadratic functions - finding coefficients, turning points 0:58:27 - Q24 - Finding speed from a distance-time graph using gradient of tangent 1:02:53 - Q25 - Pythagoras theorem and Trigonometry in 3D 1:12:18 - Q26 - Forming and solving quadratic equations with Geometry 1:20:09 - Q27 - Proof with completing the square 1:24:07 - Outro

@faizaasghar693 5 жыл бұрын

In question 25 b wen u worked out the side MC the waa hyp of triangle EMC not ajecent. So we gonna use sine rule to find angle C which will be 28.9degree i think. Check it again sir i think there is a mistake

@walidrazzari609 6 жыл бұрын

this is the best maths teacher in the world, he talks clearly and presents perfect model answers

@MrTompkins 6 жыл бұрын

High praise! Thank you 😊. I've been taking a break for the last few weeks but planning to upload lots of new content over the summer.

@D200o6 2 жыл бұрын

4 years later and It’s still the most helpful video for me! Thank you

@MrTompkins 2 жыл бұрын

Great to hear! Well to be fair, Pythagoras theorem is still pretty helpful and that’s 2700 years old! 🤓

@D200o6 2 жыл бұрын

@@MrTompkins 🤯never knew that!

@JettixX Жыл бұрын

@@MrTompkins Hahaha good one, and nice video! You are appreciated!

@yellowneesy 6 жыл бұрын

You're so good at explaining and working through it all - fab thank you! 👌🙂👌

@MrTompkins 6 жыл бұрын

Thanks Nessy Yellow! This series seems to be popular with students so I’m sure to make a few more 😁

@btslicious4147 Жыл бұрын

Thank you soo much sir these videos are very helpful. 👍👍 1

@MrTompkins Жыл бұрын

Glad they are helping! Good luck with your exams 🍀

@user-bx7tg7vb3n 2 жыл бұрын

at q25 how do you know its a right angle?

@MrTompkins 2 жыл бұрын

Did you mean in the triangle face? In the question it says AE=BE, which tells me it is an isosceles triangle. It is a handy property of isosceles triangles that you can cut them in half in this way using a line from the top down to the centre of the base line, which will always meet at 90 degrees. This property also comes in useful in circle theorem questions

@user-bx7tg7vb3n 2 жыл бұрын

@@MrTompkins Thank you so much, really appreciate it

@AhmedAli-qu4fv 6 жыл бұрын

Could you please answer more questions similar to the last one on this paper

@MrTompkins 6 жыл бұрын

There is a similar question on this practice paper: kzbin.info/www/bejne/l2qraXltjcd7eKM. Have a look at Q27 😀

@sadrilemi4135 6 жыл бұрын

I have yet not seen, a species that can surpass my intellectual capabilities but I can see a challenger prone to take my throne

@MrTompkins 6 жыл бұрын

Ha! Your throne is safe, Sadrile Mi. I am content with taking the ad revenue 😂. Good luck with your exams!

@sadrilemi4135 6 жыл бұрын

@@MrTompkins Thanks, ...I believe

@heysugazz1010 6 жыл бұрын

in question 9b how did you get 520/1420 from 1-900/1420 ?

@MrTompkins 6 жыл бұрын

Hey SugazzTrash - use your calculator (if you can) or otherwise you can use the fact that 1 is the same thing as 1420/1420, so 1420/1420 - 900/1420 gives you 520/1420. (numerator subtract numerator, denominator stays the same)

@heysugazz1010 6 жыл бұрын

+Mr Tompkins EdTech ah I understand, thank youu

@MrTompkins 6 жыл бұрын

@@heysugazz1010 , Great! :-) Good luck in your exams!

@theslowmo1444 Жыл бұрын

Sir, what are your 5 top tips for getting a grade 9?

@MrTompkins Жыл бұрын

Make sure you’ve seen all the past papers and gone over the tough ones at the end. Don’t skimp on the practical topics like constructions. Get the Casio fx-991 - it’s got a bunch of extra features that are handy for GCSE. Re-read the question after you finished to check you’ve actually answered it. Ask yourself at the end of each question, “Is my answer sensible?” - of it isn’t, you’ve made a mistake!

@theslowmo1444 Жыл бұрын

@@MrTompkins Thanks so much sir! I have also got a statistics GCSE AQA coming up. Have you got any tips specific for that as well?

@sgsnake2x 6 жыл бұрын

Yesterday I did the 2017 gcse past paper in exam conditions, I added my marks up and I got 214/240. So close to grade 9, maybe need to work more cause I'm not that happy

@MrTompkins 6 жыл бұрын

If memory serves, the grade 9 boundary was 189 marks last year, so your score was comfortably over! It will probably go up a little this year, but not that much 😉

@keiraplume5457 Жыл бұрын

hiya on Q10 wouldnt it be 70 rather than 60 degrees

@MrTompkins Жыл бұрын

Yes it would be 70 - I'm confused though, as that is what I wrote! Are you referring to part a or part b?

@keiraplume5457 Жыл бұрын

@@MrTompkins Sorry, bc you’ve got 2x + 10= 60 but if x=30 that would equal 70?

@MrTompkins Жыл бұрын

@@keiraplume5457 I think you are referring to part b of the question. In part a, it's assumed that the lines are parallel, which means x=30 and therefore the angle is 70. But in part b, it says actually the lines are NOT parallel, and that angle w=60. This means we need to rework the problem now with 2x+10=60 and resolve to see if this increases or decreases the value of y.

@keiraplume5457 Жыл бұрын

@@MrTompkins ohhhh okay i get it thank you! I’m doing mocks right now so all of this is really helping thank you so much.

@theslowmo1444 Жыл бұрын

I am sorry but I didn't get 8(a)! Could you please help me, sir?

@MrTompkins Жыл бұрын

I use the fact that the parallelograms are congruent (same shape/size) to show that the base angles of the triangle must be equal. So the triangle is at least isosceles. We are not given any angles to work with here, but it’s possible that those base angles could be 60. If they were, the top angle would be too, so it would be equilateral. But from the information provided, we don’t know that, which is why I ticked that it might or might not be.

@shovey8928 Жыл бұрын

thank you so much teacher

@MrTompkins Жыл бұрын

You are very welcome!

@mythic8291 7 ай бұрын

for question 23 dont u have solve the square to find out turning point

@MrTompkins 7 ай бұрын

Do you mean complete the square? Yes, we could have done that and that would have given the turning point no problem, and in most "find the turning point" questions, that would be the best method. In this particular case though, we would have had to find b first, and it was easier to go on and find the second root instead, and use the fact that the x coordinate of the turning point always lies half way between these (due to symmetrical nature of parabolas).

@JuwanaGeorge Жыл бұрын

Hey sir!!! On q25 would it be sin and not tan because if u look it at closely we have the hypotenuse

@MrTompkins Жыл бұрын

There is an alternative method identified in the mark scheme that uses sine. Are you getting the same answer as me with your method? If so, then that's fine.

@Hassan-xu8rn 8 ай бұрын

thank you

@MrTompkins 8 ай бұрын

You're welcome!

@winnieadeyemi 4 жыл бұрын

thank you this very hepful

@MrTompkins 4 жыл бұрын

You're welcome! Good luck in your mocks!

@veravera4440 3 жыл бұрын

Thank you Mr T. So useful. Could you explain why we draw tangent in question 24?

@MrTompkins 3 жыл бұрын

We are asked to find the speed in Q24 at a given time. Now speed is the rate of change of distance with respect to time - in other words it is the gradient of a distance-time graph. Finding a gradient of a straight line is simple, as it has the same gradient along its whole length. So we just need to find two points on the line and measure change in y and change in x and divide them to find the gradient. With a curve, things are a bit more complicated as the gradient is constantly changing. You can see this graph starts heading upwards, then flattens off, and then heads downwards. So when you want to find a gradient of a curve, you need to say at what point you are finding the gradient, construct a tangent at that point, and measure the rise/step of the tangent to use as an estimate of the gradient of the line at that point. A bit of a long explaination, but hopefully it now makes sense?

@samiuddin9476 6 жыл бұрын

Can you do the higher tier nov 2018

@MrTompkins 6 жыл бұрын

Hey Sami! It’s not yet been released by AQA, so you will need to wait for that one, sorry! In the meantime you might want to take a look at the older past papers and the practice papers. Here: kzbin.info/aero/PLxp90x5c0ttYuv-MUvtm09JCc8-uyYC7W

@itsstillwill7419 6 жыл бұрын

confused to how you got x=30 i got different 2x+10=3x-20 10=3x-20 30=3x 10=x

@MrTompkins 6 жыл бұрын

Hey Stll Will. Where did your 2x go? If you subtract 2x from both sides you should get 10=x-20

@itsstillwill7419 6 жыл бұрын

Mr Tompkins EdTech thanks means a lot silly error glad you cleared it up

@MrTompkins 6 жыл бұрын

@@itsstillwill7419 , glad to have helped! Good luck with your mocks! 😀