Circle Theorem Proofs - GCSE Higher Maths

A video explaining how to prove the six circle theorems needed for the GCSE examinations. This is suitable for the higher GCSE maths course.
Exam Question Booklets:📝
🔗Exam Question Edexcel Style: www.1stclassmaths.com/_files/...
🔗Exam Questions AQA Style: www.1stclassmaths.com/_files/...
• Circle Theorems - GCSE...
🌐 www.1stclassmaths.com/ for more high quality revision questions.
0:00 Intro
0:38 Proof 1 - Angles in a semicircle is 90°
4:49 Proof 2 - Angle at the centre is twice the angle at the circumference
7:53 Proof 3 - Opposite angles in a cyclic quadrilateral add to 180°
10:00 Proof 4 - Angles at the circumference in the same segment are equal
11:23 Proof 5 - Alternate Segment Theorem
13:49 Proof 6 - A radius bisects a chord at 90°
To help my channel:
❤️Like
💬Comment
🔔Subscribe
Follow me on:
/ 1stclassmaths
/ 1stclassmaths
/ 1stclassmaths

[@Petitmousey]

thanks for informing me about the last theorem not being needed if you do AQA just saved me so much time

[@hellohowareyoutoday2784]

i love you

[@zowjc9ww]

This is so useful but what do we do if the question states not to use any circle theorums in our answer? Do we just do the same steps of working out but not give the reason why (as giving the reason why often involves stating a circle theorum usually) please let me know thanj you

[@raaafn874]

such an amazing channel, never understood proof of circle theromes and was literally fully given up. but my teacher recommended your website and decided to give this video a try. best decision

[@1stClassMaths]

Welcome!

[@hellohowareyoutoday2784]

Hope ur exam goes well

[@wanruz]

litch the best channel for gcse maths thanks so much 🙏🙏🙏

[@1stClassMaths]

Glad you think so!

[@sammya8355]

You may actually be the goat I watched this last night just as an afterthought and Im so glad I watched this video now as circle theorem proofs was the last question, again I can't thank you enough!

[@zowjc9ww]

do you do edexcel or aqa? i don't remember doing a circle theorums proof question and i do edexcel?

[@obinoscopekenobi9450]

@@zowjc9ww It was something about tangents I think

[@VeryBizzyIzzyy]

@@zowjc9wwEdexcel had the tangent proof

[@philkon2]

Best channel for gcse maths and further maths, thanks bro

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@chantommy2438]

Appreciate a lot ! Helpful

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@nishadpatkar6636]

omg, I wish I found this channel sooner!

[@1stClassMaths]

:D

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@heavenasmamaw3489]

Just perfect

[@user-ny4ho4ku1h]

Thank you very much for sharing.

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@grinder4907]

Thank you so much, now I can get my 9😁👌

[@MANDALKARAN]

GREAT SIR ❤❤ Prove the theorem of triangle also. incentive , medium

[@user-kv5zx3sr5v]

thank you so much!
good luck tomorrow everyone

[@1stClassMaths]

Good luck!

[@emjeodendaal2273]

Thank you And I hope you did good in your test

[@imintoomanyfandoms114]

GOOD LUCK EVERYONE

[@Pomfidy]

Very useful, thank you

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@delightk6485]

thank you so much!!

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@luv444cece]

thank you soo much, this vid was so helpful, but how would you recommend memorising this, so I can retrieve this information in the exam if it comes up, thanks so much for ur vids, literally saving my life in maths rn, tysm!

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@bur107]

First, hello I like you vids a lot

[@suiiii784]

most underrated channe;

[@1stClassMaths]

Too kind!

[@hellohowareyoutoday2784]

Hope your exam goes well and i hope you get everything you want for christmas

[@jup52]

Thanks, I found your proofs very clear. A small help to remember, would be to include the name of the theorem written under the main heading?

[@Yaz-tm4uy]

Why am i only finding ur channel noww 😭😭

[@nryanr5273]

do you think box plots will come up much in the 2024 exams?

[@sq_clutch]

Yes

[@leso204]

What is the practicle application ......

[@user-ny4ho4ku1h]

If you have Trigonometry as well, can you also present it please.

[@1stClassMaths]

I have done trigonometry, check my playlists.

[@xxn_hxx245]

would they combine circle theorems and ask you to prove it in that way or only single ones like in the video? Thank you!

[@1stClassMaths]

I'd expect just a single theorem.

[@not.cookie.lol.]

bro pls make a lvl content next year 🙏🏾🔥

[@1stClassMaths]

I will try

[@avindusamadhi]

❤❤❤

[@LeslieAsah-dp6pl]

Thank you so much sir

[@GoaFrenzyy]

Got an exam tomorrow?

[@resourcefulhedgehog936]

If we needed to prove one of the theorums in which the proof involves another theorum (e.g angles in the same segment are equal), would we need to prove both theorums?

[@1stClassMaths]

Yes technically. You may also want to note that it is also theorems with an 'e'. Seen lots of people make that mistake though.

[@MrCrytpic]

Are these all the circle theorems for Edexcel?

[@1stClassMaths]

Technically there is also the radius bisecting a chord at 90°. You can find this theorem in my circle theorem proofs video though. It is seemingly almost never assessed though. I don't actually recall any exam questions using it at all on this specification. You are expected to know it though but it's quite simple.

[@MilanPujara-ed7ud]

Could this turn up on OCR GCSE Maths?

[@1stClassMaths]

Yes it could.

[@Puppyslush]

Would u have to memorise this

[@1stClassMaths]

Yes or be able to work it out again yourself. This topic doesn’t seem to come up too often though.

[@hamzasherasmat6593]

I thought there were 8 circle theorems

[@seno601]

the last proof, is it meant for ocr?

[@peteypops]

Minor, major angles….why not acute and obtuse angles?….sorry, old GCE student here.

[@1stClassMaths]

Either is fine really.