AIBU to ask for help with some Maths questions

[BilkyTheKiddxoxo]

DD is doing practice for ECAA assessment in November. She has some Maths Questions which she can't understand. I have attached photosof them.
Wondered if anyone can throw any light on any of them?

Here you go. Is it complex numbers that’s a struggle?

@Lillith111

Here you go. Is it complex numbers that’s a struggle?

Thank you so much for this. DD hasn't covered Complex numbers in Maths yet. Will get her to source a You Tube video to teach her about them!

It’s normally only covered in further maths. If she doesn’t take further maths she may have to teach it to herself

Same for the vectors question. Only normally covered in further maths

@Lillith111

Same for the vectors question. Only normally covered in further maths

Vectors were a part of the GCSE syllabus when I taught it.

@Lillith111

Same for the vectors question. Only normally covered in further maths

She is doing Further Maths this year (did A-Level Maths last year. Hopefully by the time she does the ECAA assessment in November, she will have covered Complex numbers and Vectors at school!

Basic vector stuff. But not dot product I’m guessing

I recommend Khan Academy for free helpful videos.

Here is the vector problem. Think I got it correct but has been a while so would double check. Though again further maths so hopefully that’ll just be taught. Vectors are pretty difficult. Good luck!

@Lillith111

Here is the vector problem. Think I got it correct but has been a while so would double check. Though again further maths so hopefully that’ll just be taught. Vectors are pretty difficult. Good luck!

Thank you so much! DD found very useful.

Fur the middle one I guessed likely roots looking at the coefficient of the constant term and trying factors of it by substituting then into the equation to see which gave 0. Using this I found real roots -1, 2 and 0.5, meaning that (X+1)(x-2)(2x-1) is a factor of it. Multiply out these brackets to get a cubic and then divide the quintic by this cubic using polynomial division to get the remaining quadratic part. You can then calculate the discriminant of the quadratic which is negative, so this part has two complex conjugate roots. Therefore there are three real roots.

@110APiccadilly

I recommend Khan Academy for free helpful videos.

Thanks for this!

@Fabuleuse

Fur the middle one I guessed likely roots looking at the coefficient of the constant term and trying factors of it by substituting then into the equation to see which gave 0. Using this I found real roots -1, 2 and 0.5, meaning that (X+1)(x-2)(2x-1) is a factor of it. Multiply out these brackets to get a cubic and then divide the quintic by this cubic using polynomial division to get the remaining quadratic part. You can then calculate the discriminant of the quadratic which is negative, so this part has two complex conjugate roots. Therefore there are three real roots.

Thank you for this answer. Will pass onto DD. Looks seriously impressive!

I don't think Complex Numbers are on the ECAA spec? Have a look at www.undergraduate.study.cam.ac.uk/courses/economics#entry-requirements for the current specification (and past papers). Not sure how to do links on my phone!

Oh - link seemed to work automatically!!

@Pallando

Oh - link seemed to work automatically!!

Thank you for this helpful information. I will pass onto DD

Having had a very quick scan, it looks as if the "Mathematics" section is basically GCSE maths and "Advanced maths" is AS single maths (though there are a few extras such as the remainder theorem). If there are any bits of the spec your DD isn't sure about please send me a DM and I can find some resources to help (I work in maths outreach for a UK university, and taught maths for 15 years before that).

I would suggest that your DD has a look at the specimen papers to get an idea of what sort of thing is actually asked (save 2020 for a mock). She may find the TMUA and section 1 of MAT useful - these will be quite a bit harder than ECAA but will be based on roughly the same spec. Links to TMUA and MAT can be found here:. www.admissionstesting.org/

[quote Pallando]Having had a very quick scan, it looks as if the "Mathematics" section is basically GCSE maths and "Advanced maths" is AS single maths (though there are a few extras such as the remainder theorem). If there are any bits of the spec your DD isn't sure about please send me a DM and I can find some resources to help (I work in maths outreach for a UK university, and taught maths for 15 years before that).

I would suggest that your DD has a look at the specimen papers to get an idea of what sort of thing is actually asked (save 2020 for a mock). She may find the TMUA and section 1 of MAT useful - these will be quite a bit harder than ECAA but will be based on roughly the same spec. Links to TMUA and MAT can be found here:. www.admissionstesting.org/[/quote]
Thank you. That's brilliant!

Hi there, My son used this amazing GCSE online course, that he just swears by. It's very engaging and kept him motivated....maybe that would help you resolve your maths' problem!! www.gcseonlinecourses.co.uk/mathsgcse
Good luck, and I hope you find the solution.

@Lavieenrose01

Hi there, My son used this amazing GCSE online course, that he just swears by. It's very engaging and kept him motivated....maybe that would help you resolve your maths' problem!! www.gcseonlinecourses.co.uk/mathsgcse Good luck, and I hope you find the solution.

Thank you for this. That's very helpful.