Circle Theorems - Exam Style Questions | Grade 7 Maths Series | GCSE Maths Tutor

[@abidjc]

earlier today i didnt even know what a tangent was (never learnt circle theorems in school) but after 1 hour of going through your videos on this topic i could answer than final exam question - that is what i call a teacher!

[@TheGCSEMathsTutor]

Wow that’s incredible!! Well done to you for putting the work in, incredible dedication! Keep up the fantastic work 😁🙏🏼

[@sahnafthehumble7252]

A friend of mine recommended you under an oath of secrecy, and you have now become my secret weapon

[@TheGCSEMathsTutor]

ALPHACONIC Hahaha that is brilliant 😂 if you pass it on to another friend I’m sure it will bring good luck! 😁🙏🏼

[@asianwarrior2193]

@Brian Eddie it just doesn't tho does it

[@lailataluminousnight8064]

@Blaze Keenan that's terrible .........is this a joke?😅

[@ETA_shadows]

i was struggling before i met this video and now i'm confused as to why i now find it easy

[@TheGCSEMathsTutor]

Always great to hear! 😁🙏🏼🙏🏼

[@queenannie66]

@@TheGCSEMathsTutor you have to wait until your appointment will go out for the day so you don’t need a reservation or

[@queenannie66]

@@TheGCSEMathsTutor you have to wait a

[@Ilikesaucytoes]

I would always skip these questions or just scribble down any odd rule because I could never find videos actually putting the theorems into an exam question and the ones I found confused me. However in the space of 27 minutes I am confident now! My gcse is tomorrow AND THIS HAS SAVED MY FUTURE

[@Synersty]

At 25:00 I believe there was a much simpler way to do it is since the shape is a triangle and since the angles in a triangle add up to 180 you can also do (35+34) + (34+56) + angle X = 180 159 + x = 180 so x = 21 Either way i didnt really think about Angles at a point so that really helped!

[@catherinecarter3465]

Or you could work out the angle AOB 112. Half it for AOC (angles from the same arc and the centre and circumference) and use the angles in a triangle to get to the answer

[@princeutaunashe6461]

Or just listen

[@aimankhalid-wu5mt]

I have learnt the whole maths gcse syllabus from this channel, I dont know how to thank you sir. So incredibly grateful !

[@crystieroo1287]

I’m so glad I found this channel, you are literally better at explaining this stuff than any other maths teacher at my school and even my maths tutor! Thanks man!

[@premamuthukumar5352]

I didn't learn much about circles at school (only area and circumference) and when I saw the questions, I thought, 'I'll never be able to do this' But after the first questions explained, I tried the rest and didn't get any incorrect! I showed my mother and she was really proud so thankyou so much :)

[@ahadmulla6721]

im doing this 2 days before my gcse 2022 f/m examinations and i can atleast pass with the grind with this channel ty ❤❤

[@4hm3d.7]

how was it (im late ik😂)

[@notzanele]

Update👁👄👁😭

[@nooracademy_uz]

i cant put my happiness into words as i understand all the topics very precisely through your videos

[@YN-ry6cc]

Yeah please do more exam questions they would be really useful as they are most likely to come up in exams

[@TheGCSEMathsTutor]

Will do 😁🙏🏼

[@YN-ry6cc]

The GCSE Maths Tutor Thank you

[@lailataluminousnight8064]

@@TheGCSEMathsTutor heyyy, at 7:55 since AOB is an isosceles triangle, doesn't that mean angle A is also 43°??

[@majoraslam]

@@lailataluminousnight8064 yes it is

[@ehkalazikiii1643]

İ have had a tough time learning circle thereoms and by watching your video's i already learnt a lot! Thank you so much and please keep posting more!🙏🙌❤

[@deangarratt4965]

Quicker way to do the final question: alternate segment theorem - 56 degrees for angle ACB. Tangent of 90 degrees less 56 degrees is 34 degrees for angle BAO, same for angle ABO. Angles within the large triangle can then be calculated. Top angle ABC 69 degrees plus angle BCA 56 degrees = 125 degrees. 180-125 is 55 degrees. 55 degrees less 34 degrees (angle BAO) = 21 degrees.

[@layer1087]

I did the same method was just about to explain it then saw ur comment, I was like there is even a quicker method than that, But we'll explained on ur part brother I defo wldve over complicated stuff or made it sooo simple that no one wld understand.

[@adeshewaadebayo7480]

there's an simpler way to do it

[@achoolacount9250]

Honestly the best GCSE teacher on KZbin . Thank you so much

[@jameschester7839]

Thank youuuuuu!!! Literally a life saver 😀😀

[@TheGCSEMathsTutor]

My pleasure 😁🙏🏼

[@alphasaffi9230]

What an amazing teacher thank u sir .if I tell you how this videos helping me especially this topic I never understand this topics since I was in highschool even at the University level thank you very much sir may God continue to bless you

[@beckysmith4913]

Enjoying these. I used alternate segment and tangent meets radius then base angles of isosceles then interior angles of triangle. Super fun haha

[@senjitsu]

you always make everything so easy to understand somehow. i literally appreciate you SOO MUCH thank youuuuuuuu

[@narrativ3lens]

This video really helped thanks so much! It would have been great to be able to print out the questions, instead of having to draw them out though. Maybe you could include a link to a printable pdf or something in future?

[@papwam4246]

Thank you sooo much you’ve probably just saved my exams!

[@TheGCSEMathsTutor]

Amazing news! Glad to help 😁

[@lolllhello7718]

Fantastic video Please do some more exam style questions as this would be extremely hwlpful

[@TheGCSEMathsTutor]

I will do a selection of exam style questions involving algebra next 😁🙏🏼

[@lolllhello7718]

The GCSE Maths Tutor Thank youu👍👍👍😁

[@zamzammohamed5230]

Well,this seems the most appealing.Thanks

[@TheGCSEMathsTutor]

My pleasure! 😁🙏🏼

[@thaz3728]

I would literally kiss ur channel I swear to god, ur a lifesaver thank u!!!!!!!

[@TheGCSEMathsTutor]

So glad it’s helping 😁🙏🏼

[@INeedGooderGrades]

worship and marry it because I got a grade 7 in my recent mocks because of this person

[@muhammadaizaz2233]

This teacher is a legends

[@fayeissavage7602]

literally just found you one day before my paper 3 mock :( wish I had found you earlier ! would you consider doing some aqa practice papers ?

[@TheGCSEMathsTutor]

At least you have found it before the real thing 😁🙏🏼 I will look into some AQA papers closer to the exam absolutely!

[@fayeissavage7602]

The GCSE Maths Tutor thank you so much !

[@fatlilcorgi2608]

you are literally saving my life, thank you

[@TheGCSEMathsTutor]

It’s my absolute pleasure! Glad to know I can help 😁🙏🏼

[@jameskelliher]

Thanks - this will come up in my mock paper 2 tomorrow

[@niveankoneswaran7395]

You deserve more subs for the amount of help your giving away for free

[@Sanjay-j6d8x]

21:26 I found a much simpler way. we could just use the alternate segment theorem to get 56 as the angle for ACB and then double it for angle AOB. and then the rest is just subtracting it from 360.

[@nayemisfluffy]

15:38, mate its actually just a 2 step process as OAB becomes 57. and u can see that BO and AO are coming from the circumference to the radius meaning that they are isosceles, so we can just (180 - 57)/2

[@CaptHook101]

By any chance would it be possible for you to add a link to the questions for us to print off for your videos? great video!

[@TheGCSEMathsTutor]

Aidon Hook I’ll do my best, once I have the video content completed I’ll be focussing on getting all of the worksheets uploaded! It’s a huge task but it’s all in process 😁🙏🏼 thank you!!

[@ashaz5502]

I'm late but i realized there was a easier way of doing the question solved in 21:27 . So the radius and tangent meeting creates a 90 degree (OAE is 90 degrees) and you find out the other angle by doing 90 -56 which is 34. OAB is an isosceles triangle so the angle opp. of 34 will also be 34. Now if you look BCA is a triangle in a circle so we use the circle theorem (angles in alternate segments are equal) so we do 34 + 35 = 69. Now if you also look at the other side (where radius and tangent meet) there will also be a 90 degree bc radius meeting tangent and also bc it is a straight line (180 degrees). So 90 - 69 = 21. This might look like its complicating but if you try it is actually the easiest method you can use.

[@pashtunlion459]

Is it cool if you make a video on the higher equivalent ratios? and also a video on finding the mean of two different classes when your given the mean percentage of each class please?

[@TheGCSEMathsTutor]

Equivalent ratios and reverse means added onto the list for you!! Consider it done 👍🏽

[@TheGCSEMathsTutor]

Here is reverse means for you - kzbin.info/www/bejne/hmKQiqN9ecmmjpI 😁🙏🏼

[@chow4253]

It seems easy once you know the theorems really well.

[@TheGCSEMathsTutor]

Absolutely! Have you managed to learn them all? 😁

[@SIV6906]

thank you so much your videos rlly help!

[@TheGCSEMathsTutor]

Glad you like them! 😁

[@sresnic]

FWIW, at 10:20 you assume that OT is a radius and therefore 90* to the tangent. However, this is never expressly stated in the problem.

[@ohhhmyyylifeee]

at 14:19, how could you tell that that was an isoceles triangle and be sure that those two sides were equal? as there was not any two dash thingies on the side to show it as equal? Could you tell just by looking at it or was there some maths behind it that showed this? Thank you

[@eatinsomtin9984]

For 21:22 The 60 doesn't add up to 180 so is it right as its an isosicles trinagle?

[@sk0266]

hi sir is there videos where you explain topics like actually teach them as i want to learn topics ive never done before like funtions where you start from the basics thanks

[@TheGCSEMathsTutor]

Tommy Egan Have a look in my playlists I tend to teach them all unless I’m running through exam questions, of course this video is part of a series so you would need to start at the beginning! 😁 the functions series is here - Inverse Functions | Grade 7-9 Maths Series | GCSE Maths Tutor kzbin.info/www/bejne/e5W0ipZ3qNpqraM

[@refilwegabatshwarwe9717]

Tomorrow I'm writing a math test and I'm blessed for having to watch this video🙏

[@TheGCSEMathsTutor]

You got this! 😁🤞🏼

[@Masowe.]

thank you for your great video AT 7:38 I WORKED WITH tangents meet a circle at 90* and a triangle is 180* therefore 86+90+90= 266-(180 which is actual addition of angles in a triangle) which gives surplus 86* for the other triangle x is in an issosless triangle therefore i divide 86 by two and get 43* now question is does it always work?

[@TheGCSEMathsTutor]

COSTIE TV You will find that most circle theorems have multiples journeys that you can take towards the answer, the key is the reasoning and showing your logic behind your method 😁🙏🏼

[@Masowe.]

@@TheGCSEMathsTutor okay tank you so much!

[@greensleeves7165]

(15:18 and elsewhere) Can you just assume that O is the centre? How do you know formally that the triangle is isosceles?

[@Tyson_1424]

Dont know bout the centre, but for the triangles, the small lines denote that they are equal.

[@tamkeennabikhan]

thanks . great video really helped me understand circle thereoms

[@alphasaffi9230]

Once more than you very much sir . please sir when solving some problems please make sure the picture of the diagram clear sir u are sch an amazing teacher

[@saleha4646]

It can't get anymore easier!!

[@evilnamekian101]

Sir To get grade 4 in foundation what fundamental topics I should know will you kindly help me please

[@TheGCSEMathsTutor]

Evil Namekian Check out this playlist - kzbin.info/aero/PLqxP5EuGxPnfJMFKejO1mR00HafmzKW6P 😁🙏🏼

[@Ibrahim-cn8vg]

I have a question for questions that ask the reason for your working out if you don’t give reasoning but give the correct answer how many marks would you get?

[@swldnsstory9843]

That Intro music gets me exited every time 🤣🤣

[@amadif1793]

Thanks again! Very helpful!

[@kanan597]

i love you for the alternate segrment thing

[@JP-xk3zu]

Thank you so much

[@TheGCSEMathsTutor]

My pleasure! 😁🙏🏼

[@gcsuddenlydavesHusband]

for 15:24 it felt so good when i used the double arc circle theorem idk why, it just filled me with euphoria

[@susycalleja9621]

Hi, quick question on minute 11:00. How do you work out the cyclic angle? how do you know it is also 58 the top angle of the triangle? Thank you

[@moizn3686]

Alternate Segment Theorem, they are both the same angles.

[@Rafmee]

Sir for GCSE mocks, do we get grades like the real GCSEs: scores compared with all pupils and creating grade boundaries from how well the students did as a whole. Or are the grade boundaries for the exams are created before even the students sat the tests like the older curriculum? For example 70% = Grade 7. I have asked my form tutor today but I did not get a clear answer. Please can you tell me if you know? Thank you so much, you are a savior!

[@TheGCSEMathsTutor]

XxUniquecornxX Grade boundaries for mocks are created by the school issuing them, these are usually in line with predictions for the exam based on prior years grade boundaries, I certainly can’t speak for all schools though this is just my experience 😁🙏🏼🙏🏼

[@yahyamir1076]

Sir would AD and DC not be an isosceles triangle

[@GCSEALevelMaths2025]

Excellent work sir top job top notch!!

[@TheGCSEMathsTutor]

Thank you 😁🙏🏼

[@goalkeeper0017]

AT 11:49, why can't we use an alternate segment to find the angle PQT?. The result will be the same.

[@dadofwar2125]

you can do alternate angles and corresponding angles in circle theorems even without the parallel lines?

[@j8los]

yes

[@cheezey3295]

Is there a mistake at 21:02? The triangle is an isosceles. 60+60+66=186 My answer was 57 57+57+66=180 I think mine is correct.

[@TheGCSEMathsTutor]

There is nowhere that says the triangle is an isosceles 😫 and unfortunately we can’t make that assumption given the information!

[@cheezey3295]

@@TheGCSEMathsTutor Oh for it to be an isosceles it has to be connected to the diameter right?

[@FireFitt]

Thank you sir

[@TheGCSEMathsTutor]

No problem at all! 😁🙏🏼

[@bbybeatboxx]

Excellent video!

[@Messi-uy3mi]

Can u do repeating percentage plz??

[@TheGCSEMathsTutor]

Compound interest?

[@Messi-uy3mi]

@@TheGCSEMathsTutor idk if Repeating percentage change and compound interest are same thing but i will Dm u an example. Thank u so much for your help🙏4

[@Milosz_Chrzanowski]

My teacher does not even help me and no one believes me he does not. This does help thanks!

[@TheGCSEMathsTutor]

So glad to hear I could help 😁🙏🏼

[@CRYPT1QUE]

Thanks 🙏

[@Awai_quotes]

All ✅😳first time😊thank you for the questions and circle therom video😊

[@mrcheese1373]

Sir will you put the worksheets for all the series- can you put the whole of circle theorems first, then the rest. Take your time dw

[@harisamaan786]

Do you still get the question right if you don't give the reasoning i can solve it but can't give the reasoning

[@TheGCSEMathsTutor]

It entirely depends on the question, most questions specifically ask you to give your reasons, in this case you would lose 1-2 marks without them, if you are struggling with these then please check out the video in the description looking at all the circle theorems in 10 minutes and make some flash cards on each one, then just practice a few questions (could be these ones!) and try to apply the correct reasons at each point 😁

[@harisamaan786]

@@TheGCSEMathsTutor ok thanks

[@harisamaan786]

@@TheGCSEMathsTutor 8:36 why did u takeaway arent u meant to add then or is it like pythagoras if u wanna find hypotenuse u take away?

[@pepsiman4418]

@@TheGCSEMathsTutor How do you give reasoning?

[@diziland1420]

So helpful thx💯💯

[@theoneandonly2137]

amazing video !

[@TheGCSEMathsTutor]

So glad you enjoyed it! 😁🙏🏼

[@proudchristian9873]

so helpful, ty

[@catherinecarter3465]

Sorry but can someone explain why in the first question, the fact that the tangents are equal lengths and form right angles, means we can know that theline OC splits the angle exactly in two?

[@j8los]

they tangents are meeting at equal lengths so Oc forms a bisector

[@farkhondawahidy1576]

Hello, can you please add how many marks the questions are worth in your videos. Thank youu. It leads me through the question, you see.

[@khadijamuntaha8252]

thanks alot maths tutor

[@oscillatefn8303]

Thanksss bro 💯🔥💪👍👏🏅🥇🏆🌟🙏👏💰💰💰😁🙏👏

[@TheGCSEMathsTutor]

No problem 🥳🥳🥳🥳

[@Eshalll.00]

life saver

[@dahlia5644]

Hi, at 22:29 how did you know that the triangle was isoceles?

[@yourlocalpostman]

because two of the radii in the circle formed two of the sides of the triangle

[@dahlia5644]

@@yourlocalpostman thank you! i hate this topic greatly

[@birdie7344]

@@yourlocalpostman hey i got a question regarding that, for the 2nd last question at 20:38, wont triangle ADC and triangle ABC be isoceles?

[@yourlocalpostman]

@@birdie7344 Nah they're not because a radius must begin from the centre of a circle and extend to any point on the circumference of that same circle. The vertices on both triangles ADC and ABC begin and end on either sides of the circumference so by definition they can't be isosceles because none of the sides are of equal length. The question would usually say "x is the point on the centre of the circle" which gives a hint that a radius/diameter is involved, thus isosceles triangles may be present. But for this particular question, the use of cyclic quadrilaterals is relevant

[@birdie7344]

@@yourlocalpostman ohhh i got it now! thanks dude, i was really confused

[@sidrarehan4183]

Veryyyyy useful

[@mouadai2235]

amazing video

[@crazymemes2832]

Thank a lot bro

[@epixzofficial2947]

finally i understand this

[@Sup7569]

Math is very fun

[@SirGallyo]

I think my problem with circle theorem is finding what theorem to use. I don't know I just can't find the multiple theorems and how to use it.

[@TheGCSEMathsTutor]

You have to run through them all.. can I see a diameter.. if so, where is the 90 degree angle… can I see a tangent.. if so where is the 90 degrees.. or can I see a quadrilateral touching the circumference, if so, opposite angles equal 180! It’s more ticking off the ones that you can’t find to figure out the one you may need! 🙏🏼

[@SirGallyo]

@@TheGCSEMathsTutor Yes I have been doing practice questions for the last two hours and I am starting to understand them.

[@TheGCSEMathsTutor]

@@SirGallyo Amazing news! You will get there 👌🏼👌🏼

[@SirGallyo]

@@TheGCSEMathsTutor I just did my test and smashed the circle theorem part. Thank you a lot!

[@TheGCSEMathsTutor]

@@SirGallyo Amazing news well done! 😁👏🏼👏🏼

[@researchpurposes1155]

Love you 😁😁

[@TheGCSEMathsTutor]

Thank you 🤣👏🏼👏🏼👏🏼

[@katystanely7090]

this vidoes does not load for me

[@TheGCSEMathsTutor]

Katy Stanely That’s very strange it’s loading for me 🤔 have another go and see if it was just your network maybe? Let me know as I can always report an issue on the video if it’s not loading properly!

[@katystanely7090]

@@TheGCSEMathsTutor unfortunately i do not understans why it doesnt load as your other vids do but its still not loading

[@janaabdulqadir5754]

I just had a question, is this how hard the questions get??

[@turbiyo4026]

Btw the circle in ur title is spelt wrong, great vid

[@TheGCSEMathsTutor]

Oh my gosh! No idea how I missed that! Thanks for pointing it out 😁🙏🏼🙏🏼🙏🏼

[@kayula.]

Genius

[@TheFredbt]

you assume line OT is a radius but the question does not say this .. your comments please

[@diziland1420]

8:07

[@DhruvPatel-cn6qq]

Exam Tomorrow, youtube till 4 am, sleep for 1 hr 40mins, be happy, that is what u get for being taught by Samaj Teachers(Kenya> But is it weird that mostly anyone who teaches on youtube can teach anything within maximum of 2hrs, while a teacher takes 25% a term, will a lesson every day, and i still do not get? Ps:Wish me luck

[@angelinafaverolanaya]

Te amo mucho ❤

[@Sup7569]

At 21:04 but that is a triangle …??

[@haneenali5681]

Omd i hate circles theroems they are so hard i dont understand it

[@hadilotarek7521]

the voice is soo low

[@s.m0690]

So hard

[@dytrappy8230]

hones5tly i dont understand anything

[@srijithpapandrio6852]

You may have colonized our country but at least you are good at math.

[@lenakhan8727]

u don’t even explain why you do certain stuff RUBISHHH

[@TheGCSEMathsTutor]

This is the 3rd video in the circle theorems series! Might be worth checking the first one 😁👍🏼

[@ahmedguessad4759]

Thank you so much

[@TheGCSEMathsTutor]

No problem at all 😁🙏🏼

[@kzw4863]

9:54