Cryptokyo
Badges: 14
Rep:
?
#1
Report Thread starter 3 years ago
#1
Welcome to the TMUA preparation thread. This a place to discuss the TMUA exam for 2019 entry and to ask any questions if needs be! The TMUA is the new kid on the block in terms of mathematics tests for university admissions so it doesn't quite have the notoriety of the MAT or STEP. Although, the TMUA may offer an alternative route to getting an offer so do look at the university websites.

What is the TMUA?

The TMUA is a pre-application maths exam sat in November. The exam is run by the Admissions Testing Service (ATS). Your score in the TMUA is personal to you and no universities can see your score unless you release it to them via the online results system. Thus it is a test that only advantages applicants rather than disadvantages them.

The test is comprised of two 75 minute non-calculator papers, each with 20 multiple choice questions. The questions are based on AS maths level content and thus no special preparation is required prior to sitting the exam.

The official page for the TMUA, with practice materials, can be found here:
http://www.admissionstestingservice....ity-admission/

Who uses the TMUA?

- Durham University
- Lancaster University
- University of Warwick
- University of Sheffield
- University of Southampton

Note: LSE take the TMUA as supporting evidence in applications.

Good performance in the TMUA can result in lowered offers from universities. For example, Durham may lower the offer from A*A*A to A*AA and Warwick see a good score equivalent to a 1 in STEP.

Further details can be found on their respective websites.

Important information

- Entries for the TMUA can be made from the 1st September
- The date at which standard entries cannot be made after is 1st October.
- Late entries must be made by the 15th October.
- The exam takes place on the 31st October.
- Results are released on the 28th November.

How to prepare

Practice is really the key to this test. There are a variety of ways which you can practice the sort of problems that could come up such as doing problems from the UKMT Intermediate and Senior Maths Challenges and the Kangaroo papers. The MAT may also offer some good practice with its multiple choice section. I would strongly advise looking through the notes on Logic and Proof on the "preparing for the test" section on the TMUA website as these topics can come up and are not really covered fully during A-Level.

A couple of fun problems to go along with it:

Problem 1

Rationalise the denominator of \frac{1}{1+\sqrt{2}+\sqrt{3}}

Answer
Spoiler:
Show



\frac{2+\sqrt{2}-\sqrt{6}}{4}



Problem 2

Let a and b be two integers such that 2a+b=ab. How manys pairs of a and b exist?

Answer
Spoiler:
Show



4


Problem 3

Let a_{i}=\frac{i!}{i+1}. Find the prime factorisation of a_{1} \times a_{2} \times \cdots \times a_{11}

Answer
Spoiler:
Show



2^{36} \times 3^{16} \times 5^{7} \times 7^{4}

3
reply
r_gup
Badges: 12
Rep:
?
#2
Report 3 years ago
#2
(Original post by Cryptokyo)
Welcome to the TMUA preparation thread. This a place to discuss the TMUA exam for 2019 entry and to ask any questions if needs be! The TMUA is the new kid on the block in terms of mathematics tests for university admissions so it doesn't quite have the notoriety of the MAT or STEP. Although, the TMUA may offer an alternative route to getting an offer so do look at the university websites.

What is the TMUA?

The TMUA is a pre-application maths exam sat in November. The exam is run by the Admissions Testing Service (ATS). Your score in the TMUA is personal to you and no universities can see your score unless you release it to them via the online results system. Thus it is a test that only advantages applicants rather than disadvantages them.

The test is comprised of two 75 minute non-calculator papers, each with 20 multiple choice questions. The questions are based on AS maths level content and thus no special preparation is required prior to sitting the exam.

The official page for the TMUA, with practice materials, can be found here:
http://www.admissionstestingservice....ity-admission/

Who uses the TMUA?

- Durham University
- Lancaster University
- University of Warwick
- University of Sheffield
- University of Southampton

Note: LSE take the TMUA as supporting evidence in applications.

Good performance in the TMUA can result in lowered offers from universities. For example, Durham may lower the offer from A*A*A to A*AA and Warwick see a good score equivalent to a 1 in STEP.

Further details can be found on their respective websites.

Important information

- Entries for the TMUA can be made from the 1st September
- The date at which standard entries cannot be made after is 1st October.
- Late entries must be made by the 15th October.
- The exam takes place on the 31st October.
- Results are released on the 28th November.

How to prepare

Practice is really the key to this test. There are a variety of ways which you can practice the sort of problems that could come up such as doing problems from the UKMT Intermediate and Senior Maths Challenges and the Kangaroo papers. The MAT may also offer some good practice with its multiple choice section. I would strongly advise looking through the notes on Logic and Proof on the "preparing for the test" section on the TMUA website as these topics can come up and are not really covered fully during A-Level.

A couple of fun problems to go along with it:

Problem 1

Rationalise the denominator of \frac{1}{1+\sqrt{2}+\sqrt{3}}

Answer
Spoiler:
Show



\frac{2+\sqrt{2}-\sqrt{6}}{4}



Problem 2

Let a and b be two integers such that 2a+b=ab. How manys pairs of a and b exist?

Answer
Spoiler:
Show



4


Problem 3

Let a_{i}=\frac{i!}{i+1}. Find the prime factorisation of a_{1} \times a_{2} \times \cdots \times a_{11}

Answer
Spoiler:
Show



2^{36} \times 3^{16} \times 5^{7} \times 7^{4}

Funny to see such a cold response towards this thread. Maybe posting a couple of question papers might help.
0
reply
yr13ishard
Badges: 11
Rep:
?
#3
Report 3 years ago
#3
(Original post by Cryptokyo)
Welcome to the TMUA preparation thread. This a place to discuss the TMUA exam for 2019 entry and to ask any questions if needs be! The TMUA is the new kid on the block in terms of mathematics tests for university admissions so it doesn't quite have the notoriety of the MAT or STEP. Although, the TMUA may offer an alternative route to getting an offer so do look at the university websites.

What is the TMUA?

The TMUA is a pre-application maths exam sat in November. The exam is run by the Admissions Testing Service (ATS). Your score in the TMUA is personal to you and no universities can see your score unless you release it to them via the online results system. Thus it is a test that only advantages applicants rather than disadvantages them.

The test is comprised of two 75 minute non-calculator papers, each with 20 multiple choice questions. The questions are based on AS maths level content and thus no special preparation is required prior to sitting the exam.

The official page for the TMUA, with practice materials, can be found here:
http://www.admissionstestingservice....ity-admission/

Who uses the TMUA?

- Durham University
- Lancaster University
- University of Warwick
- University of Sheffield
- University of Southampton

Note: LSE take the TMUA as supporting evidence in applications.

Good performance in the TMUA can result in lowered offers from universities. For example, Durham may lower the offer from A*A*A to A*AA and Warwick see a good score equivalent to a 1 in STEP.

Further details can be found on their respective websites.

Important information

- Entries for the TMUA can be made from the 1st September
- The date at which standard entries cannot be made after is 1st October.
- Late entries must be made by the 15th October.
- The exam takes place on the 31st October.
- Results are released on the 28th November.

How to prepare

Practice is really the key to this test. There are a variety of ways which you can practice the sort of problems that could come up such as doing problems from the UKMT Intermediate and Senior Maths Challenges and the Kangaroo papers. The MAT may also offer some good practice with its multiple choice section. I would strongly advise looking through the notes on Logic and Proof on the "preparing for the test" section on the TMUA website as these topics can come up and are not really covered fully during A-Level.

A couple of fun problems to go along with it:

Problem 1

Rationalise the denominator of \frac{1}{1+\sqrt{2}+\sqrt{3}}

Answer
Spoiler:
Show




\frac{2+\sqrt{2}-\sqrt{6}}{4}




Problem 2

Let a and b be two integers such that 2a+b=ab. How manys pairs of a and b exist?

Answer
Spoiler:
Show




4



Problem 3

Let a_{i}=\frac{i!}{i+1}. Find the prime factorisation of a_{1} \times a_{2} \times \cdots \times a_{11}

Answer
Spoiler:
Show




2^{36} \times 3^{16} \times 5^{7} \times 7^{4}




Could anyone explain number 18 on the specimen paper?

Don't whether I'm overcomplicating it

The one about the median
0
reply
DFranklin
Badges: 18
Rep:
?
#4
Report 3 years ago
#4
(Original post by yr13ishard)
Could anyone explain number 18 on the specimen paper?

Don't whether I'm overcomplicating it

The one about the median
Spoiler:
Show
If the five numbers in order are a,b,c,d,e, then the median value is c, so we want c as large as possible.

The mean tells us that a+b+c+d+e = 0.

Note c+d+e >= 3c (with equality when c = d = e).
Also a+b >=2b (with equality when a = b).

So a+b+c+d+e >= 3c+2b. So 3c+2b <=0.

The range tells us that e-a = 20. So c-b <=20 (with equality when a=b and c=d=e)

Since we want to maximize c, and we know we can choose a,b,c,d,e such that we get equalities, we might as well choose c=d=e and a=b.

At which point we have c-b = 20, 3c+2b = 0, so 5c = 40, so c = 8.

Note that to actually answer the question, my thought process would be much more:

OK, so how are we going to maximize the middle value? We're obviously going to want the last 3 the same. And then the first 2 will have to be -3/2 of the last 3 if we want the mean to be 0. And the range is 20. So m + (3/2)m = 20. So m = 8.

And in fact, when I actually did this, I actually skipped some steps; at some point "-12,-12,8,8,8" came to mind as a candidate solution. Since it obviously satisfies the constraints, the only way it could be wrong is if there was some way of getting 20, which it's pretty obvious there isn't.
0
reply
yr13ishard
Badges: 11
Rep:
?
#5
Report 3 years ago
#5
(Original post by DFranklin)
Spoiler:
Show

If the five numbers in order are a,b,c,d,e, then the median value is c, so we want c as large as possible.

The mean tells us that a+b+c+d+e = 0.

Note c+d+e >= 3c (with equality when c = d = e).
Also a+b >=2b (with equality when a = b).

So a+b+c+d+e >= 3c+2b. So 3c+2b <=0.

The range tells us that e-a = 20. So c-b <=20 (with equality when a=b and c=d=e)

Since we want to maximize c, and we know we can choose a,b,c,d,e such that we get equalities, we might as well choose c=d=e and a=b.

At which point we have c-b = 20, 3c+2b = 0, so 5c = 40, so c = 8.

Note that to actually answer the question, my thought process would be much more:

OK, so how are we going to maximize the middle value? We're obviously going to want the last 3 the same. And then the first 2 will have to be -3/2 of the last 3 if we want the mean to be 0. And the range is 20. So m + (3/2)m = 20. So m = 8.

And in fact, when I actually did this, I actually skipped some steps; at some point "-12,-12,8,8,8" came to mind as a candidate solution. Since it obviously satisfies the constraints, the only way it could be wrong is if there was some way of getting 20, which it's pretty obvious there isn't.

Thank you ever so much, I was going in the right direction but didn't think of the equalities leading me to 12 but thank you for your help!
0
reply
sterchess
Badges: 11
Rep:
?
#6
Report 3 years ago
#6
Argh! I got 13/20 on the practice paper 1. I find the questions easy but I always fall for the tricks because I have to rush so much. Aside from doing MAT papers how else can I get better? I'm pretty good at SMC questions, but I don't think they simulate the TMUA very well.
0
reply
Lemur14
Badges: 21
Rep:
?
#7
Report 3 years ago
#7
All registered for this this week. Anyone else doing the MAT and TMUA double?
Ngl this has kind of been neglected in favour of the MAT, but did a little on Tuesday and there seems to be a few bits I have no clue about but otherwise generally much easier than the MAT question 1

Posted from TSR Mobile
0
reply
Rohan77642
Badges: 14
Rep:
?
#8
Report 3 years ago
#8
(Original post by Lemur14)
All registered for this this week. Anyone else doing the MAT and TMUA double?
Ngl this has kind of been neglected in favour of the MAT, but did a little on Tuesday and there seems to be a few bits I have no clue about but otherwise generally much easier than the MAT question 1

Posted from TSR Mobile
How is your school going to handle both exams?
My school just said that I have to chose between the 2.
0
reply
Lemur14
Badges: 21
Rep:
?
#9
Report 3 years ago
#9
(Original post by Rohan77642)
How is your school going to handle both exams?
My school just said that I have to chose between the 2.
I have no clue... But they let me register for them so they better let me take them! I assume I'll have a supervised break and then be in an office or something for the second one rather than the main hall :dontknow:
Think I'm the only one doing the double (well given there only seems to be 2 of us doing the TMUA so far and the other person isn't doing MAT I think that's pretty likely)
It's a massive school though so we take external candidates etc. So we'll see
Posted from TSR Mobile
0
reply
Rohan77642
Badges: 14
Rep:
?
#10
Report 3 years ago
#10
(Original post by Lemur14)
I have no clue... But they let me register for them so they better let me take them! I assume I'll have a supervised break and then be in an office or something for the second one rather than the main hall :dontknow:
Think I'm the only one doing the double (well given there only seems to be 2 of us doing the TMUA so far and the other person isn't doing MAT I think that's pretty likely)
It's a massive school though so we take external candidates etc. So we'll see
Posted from TSR Mobile
Yeah, my school is pretty small and they are not letting me take both. But I am not sure if taking the TMUA will be of any use to my application since I am applying post results to Warwick, so reduced offer doesn't matter for me and on top of that I am not applying to Durham.

I was thinking of sitting the test because it might make a good impression on Warwick.
0
reply
Lemur14
Badges: 21
Rep:
?
#11
Report 3 years ago
#11
(Original post by Rohan77642)
Yeah, my school is pretty small and they are not letting me take both. But I am not sure if taking the TMUA will be of any use to my application since I am applying post results to Warwick, so reduced offer doesn't matter for me and on top of that I am not applying to Durham.

I was thinking of sitting the test because it might make a good impression on Warwick.
Ahh yeah. At least it doesn't make too much difference. 3 of my choices take it into account so it's kind of important to me
I don't really know what Warwick think about it tbh, haven't looked there yet

Posted from TSR Mobile
0
reply
SM45367
Badges: 10
Rep:
?
#12
Report 2 years ago
#12
Question 7, Paper 1 (2017) anyone? getting p= -1 - clearly wrong though
0
reply
username2912782
Badges: 13
Rep:
?
#13
Report 2 years ago
#13
(Original post by SM45367)
Question 7, Paper 1 (2017) anyone? getting p= -1 - clearly wrong though
I think it's easier to start by using the second statement then putting that into the first. This got me the correct answer.
0
reply
SM45367
Badges: 10
Rep:
?
#14
Report 2 years ago
#14
(Original post by psc---maths)
I think it's easier to start by using the second statement then putting that into the first. This got me the correct answer.
Still getting no where.
0
reply
username2912782
Badges: 13
Rep:
?
#15
Report 2 years ago
#15
(Original post by SM45367)
Still getting no where.
From the second statement we know that q=p^3 since we multiply by a constant amount each time we get a new term in a geometric progression. Putting this into the first part we find that the AP is p, p^3, p^2. As every AP has a constant term to term difference this means we can form a solvable equation using this fact.
2
reply
SM45367
Badges: 10
Rep:
?
#16
Report 2 years ago
#16
(Original post by psc---maths)
From the second statement we know that q=p^3 since we multiply by a constant amount each time we get a new term in a geometric progression. Putting this into the first part we find that the AP is p, p^3, p^2. As every AP has a constant term to term difference this means we can form a solvable equation using this fact.
Ah okay, I was solving my cubic wrong all this time, got it now. Thanks!
0
reply
DFranklin
Badges: 18
Rep:
?
#17
Report 2 years ago
#17
(Original post by SM45367)
Ah okay, I was solving my cubic wrong all this time, got it now. Thanks!
You only need to solve a quadratic (there's a common factor of p you can divide by to reduce the order of the terms).
0
reply
psycholeo
Badges: 9
Rep:
?
#18
Report 2 years ago
#18
Hi, does anyone have access to or can provide a link for worked solutions for the papers? Idm if I have to pay.
0
reply
username2912782
Badges: 13
Rep:
?
#19
Report 2 years ago
#19
(Original post by psycholeo)
Hi, does anyone have access to or can provide a link for worked solutions for the papers? Idm if I have to pay.
I don't know if there is worked solutions available- but if there is any questions in particular you find challenging I'm sure myself or someone else can (try to!) help
0
reply
psycholeo
Badges: 9
Rep:
?
#20
Report 2 years ago
#20
I find most of the questions challenging tbh. I got 26/40 on the specimen papers and thought that was quite good, but I found the past papers so much harder. I only got 21/40 on last year's and I've only done paper 1 of the 2016 paper and I got 6/20

I think I usually get caught out, as I think the TMUA does a lot of things to try and catch you out in a way.

And I know there are worked solutions available. But £80 from stepmaths seems ridiculously expensive

I don't NEED TMUA, but I have been stressing because of my poor scores.
(Original post by psc---maths)
I don't know if there is worked solutions available- but if there is any questions in particular you find challenging I'm sure myself or someone else can (try to!) help
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

What support do you need with your UCAS application?

I need help researching unis (5)
8.93%
I need help researching courses (5)
8.93%
I need help with filling out the application form (3)
5.36%
I need help with my personal statement (24)
42.86%
I need help with understanding how to make my application stand out (14)
25%
I need help with something else (let us know in the thread!) (2)
3.57%
I'm feeling confident about my application and don't need any help at the moment (3)
5.36%

Watched Threads

View All
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise