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GCSE Maths Revision 'Topic a Day' - It's all over, congratulations!

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Original post by 3pointonefour
Lol out of all the questions to be calculator amirite :biggrin:


How is this calculator lol???
Original post by Y11_Maths
How is this calculator lol???


My point exactly :tongue:
Original post by 3pointonefour
Lol out of all the questions to be calculator amirite :biggrin:


sorry haha i just couldnt decide if it should be calc or non calc and decided to be nice :dontknow:


Prove that angle XTW = angle YTZ.
(edited 5 years ago)
Original post by 3pointonefour
My point exactly :tongue:


Original post by Y11_Maths
How is this calculator lol???


sorry, have changed it
Original post by Protostar
sorry haha i just couldnt decide if it should be calc or non calc and decided to be nice :dontknow:


To be fair I don't think I've ever seen a circle theorems question in a calculator paper; it's either proofs or doing 180-something.

Though I wonder what a calculator circle theorems question would be like. Probably just really annoying numbers :tongue:
Original post by 3pointonefour

Though I wonder what a calculator circle theorems question would be like. Probably just really annoying numbers :tongue:

They're common in IGCSE where circle theorems are often combined with Pythgoras/trig in exam questions.
Original post by Notnek
They're common in IGCSE where circle theorems are often combined with Pythgoras/trig in exam questions.


Sounds like it'd make for some nice questions :h:

Speaking of, do you think there's going to be another really hard question at the end of paper 1 (like the cosPBQ one in terms of difficulty), or will the questions be more challenging as a whole? Currently hoping for a nice grade 9 question to liven up my maths exam lol.
Original post by 3pointonefour
Sounds like it'd make for some nice questions :h:

Speaking of, do you think there's going to be another really hard question at the end of paper 1 (like the cosPBQ one in terms of difficulty), or will the questions be more challenging as a whole? Currently hoping for a nice grade 9 question to liven up my maths exam lol.

Of course we don't have any idea but I wouldn't be surprised if there was one really hard question in one of the papers to get everyone talking :smile:
Temporarily moved to the GCSE forum :smile:
Original post by Notnek


Prove that angle XTW = angle YTZ.


Ah AQA GCSE Further Maths, you never fail to disappoint :wink:

Spoiler

22/05/2018 - Day Twenty Two

Solutions for yesterday, courtesy of Lemur14 and myself



Today's question is provided by Notnek and the topic of the day is Reverse Percentages. :awesome:

Two shops sell the same range of men’s shirts and both have special offers:

Shop A : Buy two shirts and get the third free

Shop B : 30% off all shirts

The cost of buying six shirts at both of these shops is £60. Once the special offers have ended, which shop will sell the cheapest single shirt? You must show all of your working.


This is a calculator question :smile:

As always, please put all solutions in spoiler/expand boxes. Let me know if you want to be added/removed from the tag list at any time.

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23/05/2018 - Day Twenty Three

Solution to yesterday's question



The topic of the day is Quadratic sequences. Here is today's question which is non-calculator.


The number of foxes at the beginning of the year in a town follows a quadratic sequence. At the beginning of 2011 there were 75 foxes then in the following three years there were 137, 187 and 225 foxes respectively.

a) How many foxes were there at the beginning of 2015?

b) Find the nth term of this quadratic sequence where 75 is the first term.

c) By completing the square, show that the number of foxes in the town never exceeds 270.

d) Explain why it doesn’t make sense to say that the number of foxes follows this quadratic sequence from the year 2024.


As always, please put all solutions in spoiler/expand boxes. Let us know if you want to be added/removed from the tag list.

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(edited 5 years ago)
is the quadratic sequence non-calculator?

edit: never mind i can do this without a calculator anyway whoops
Original post by entertainmyfaith
is the quadratic sequence non-calculator?

edit: never mind i can do this without a calculator anyway whoops

Oops I forgot to say! It is non-calculator and I just edited this in.

Spoiler

Reply 316
A quadratic sequence is defined such that

Un=an2+bn+c , a0U_n = an^2 +bn+c\ ,\ a\neq0

Show that:

U4=U1+3(U3U2)U_4 = U_1 + 3(U_3 - U_2)
any pointers on how to start c?

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Original post by entertainmyfaith
any pointers on how to start c?

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I'm doing such a terrible job of this this week, many apologies...another double question day today then! Hope paper 1 went well for everyone yesterday!
Day 24-24/5/18

Yesterday's solution, courtesy of Notnek


Today's first topic is sets and venn diagrams

A question to get you started:
a) ξ={1,3,5,7,9,11,13,15,17,19}
Fill in this venn diagram when A=multiples of 3 and B=prime numbers

b) 160 students at a school are surveyed to see if they like kiwi, banana and strawberries.
Given that:
5% of the students like all of the fruit
96 students like strawberries
132 students like strawberries or bananas, but not both
All the students like at least one of the fruit
34 students like bananas and kiwi
15 students like bananas and strawberries
24 students like strawberries only
i)Find the number of students who like exactly 2 fruit
ii)Find the probability that if any one student is randomly selected, they like kiwi

This is a calculator question.
As always please keep all solutions in spoilers :smile:

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