# Level 2 Further Maths - Post some hard questions (Includes unofficial practice paper)

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105 Mark Unofficial Practice Paper 2

This is a thread to share some of the

Questions posted so far (you can also find solutions if you search through the thread)

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This is a thread to share some of the

**hard**AQA Level 2 Further maths questions that you've seen or create some of your own. Then others can attempt them to prepare for the exam.__A lot of these questions are harder than real exam questions but none of them go beyond the spec.__Questions posted so far (you can also find solutions if you search through the thread)

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Last edited by Sir Cumference; 1 year ago

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#2

(Original post by

Hi!

This is a thread to share some of the hard AQA Level 2 Further maths questions that you've seen. Then others can attempt them to prepare for the exam. I will be creating a few of my own questions between now and Paper 2 and maybe some other users will create some too.

**notnek**)Hi!

This is a thread to share some of the hard AQA Level 2 Further maths questions that you've seen. Then others can attempt them to prepare for the exam. I will be creating a few of my own questions between now and Paper 2 and maybe some other users will create some too.

Quadratic Nth Term

Simultaneous Equations Using Matrices

Representing Ratios (2 markers)

Algebraic Fractions

At least 1 or 2 3D Trig

Representing a Certain Siny or cos or tan value in terms of another sin or cos or tan value. (i:e if siny = 5/3 whats cosy)

Trigonometry Identities

Solving Trig Identities Questions

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#4

(Original post by

Here's my first one. There's a very tricky part in this question that you need to watch out for (most A Level students would miss it) but apart from that it's good practice for Level 2 FM.

Solve the equation

for .

**notnek**)Here's my first one. There's a very tricky part in this question that you need to watch out for (most A Level students would miss it) but apart from that it's good practice for Level 2 FM.

Solve the equation

for .

Spoiler:

i got a point where it was sinx . cosx = 0

Am i at the right place.

Show

i got a point where it was sinx . cosx = 0

Am i at the right place.

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(Original post by

**Pretish**)
Spoiler:

i got a point where it was sinx . cosx = 0

Am i at the right place.

Show

i got a point where it was sinx . cosx = 0

Am i at the right place.

Spoiler:

Looks good so far! Any ideas what to do next?

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Looks good so far! Any ideas what to do next?

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#6

Spoiler:

well i'm thinking about having the values everywhere thats the sin graph and cos the graph meet the 0 x axis

This would mean my answers would be

0, 180, 360

and

90, 270

Show

well i'm thinking about having the values everywhere thats the sin graph and cos the graph meet the 0 x axis

This would mean my answers would be

0, 180, 360

and

90, 270

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(Original post by

**Pretish**)
Spoiler:

well i'm thinking about having the values everywhere thats the sin graph and cos the graph meet the 0 x axis

This would mean my answers would be

0, 180, 360

and

90, 270

Show

well i'm thinking about having the values everywhere thats the sin graph and cos the graph meet the 0 x axis

This would mean my answers would be

0, 180, 360

and

90, 270

Spoiler:

You've done very well but there's that tricky part that I mentioned earlier that you missed. Hint : Try substituting all of these answers into the original equation and check if they work.

Show

You've done very well but there's that tricky part that I mentioned earlier that you missed. Hint : Try substituting all of these answers into the original equation and check if they work.

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#8

(Original post by

**notnek**)
Spoiler:

You've done very well but there's that tricky part that I mentioned earlier that you missed. Hint : Try substituting all of these answers into the original equation and check if they work.

Show

You've done very well but there's that tricky part that I mentioned earlier that you missed. Hint : Try substituting all of these answers into the original equation and check if they work.

Spoiler:

i put in all the values and 180, and 270 gave me an error. Could u explain why/

Show

i put in all the values and 180, and 270 gave me an error. Could u explain why/

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(Original post by

**Pretish**)
Spoiler:

i put in all the values and 180, and 270 gave me an error. Could u explain why/

Show

i put in all the values and 180, and 270 gave me an error. Could u explain why/

Spoiler:

In maths you can't divide by 0 since division by 0 is undefined. So any answer that leads to denominators equal to 0 in the original equation cannot be a solution. Don't worry too much about this - I doubt this will come up in your exam but I thought it was a nice thing to include.

Your answers were correct if you exclude 180 and 270

Show

In maths you can't divide by 0 since division by 0 is undefined. So any answer that leads to denominators equal to 0 in the original equation cannot be a solution. Don't worry too much about this - I doubt this will come up in your exam but I thought it was a nice thing to include.

Your answers were correct if you exclude 180 and 270

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#10

(Original post by

**notnek**)
Spoiler:

In maths you can't divide by 0 since division by 0 is undefined. So any answer that leads to denominators equal to 0 in the original equation cannot be a solution. Don't worry too much about this - I doubt this will come up in your exam but I thought it was a nice thing to include.

Your answers were correct if you exclude 180 and 270

Show

In maths you can't divide by 0 since division by 0 is undefined. So any answer that leads to denominators equal to 0 in the original equation cannot be a solution. Don't worry too much about this - I doubt this will come up in your exam but I thought it was a nice thing to include.

Your answers were correct if you exclude 180 and 270

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#11

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(Original post by

Would a quadratic in trigonometric functions be outside the realms of FM?

Solve where .

**_gcx**)Would a quadratic in trigonometric functions be outside the realms of FM?

Solve where .

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**_gcx**)

Would a quadratic in trigonometric functions be outside the realms of FM?

Solve where .

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#16

(Original post by

Sequences. It's definitely grade A^ and I've seen a question like this but easier in textbooks but not in an exam (yet).

Here are the first five terms of a sequence:

The

**notnek**)Sequences. It's definitely grade A^ and I've seen a question like this but easier in textbooks but not in an exam (yet).

Here are the first five terms of a sequence:

The

^{th}term of the sequence is . Find the limiting value of as .in spoiler btw

Spoiler:

3/2?

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3/2?

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#18

(Original post by

Yes that's correct.

**notnek**)Yes that's correct.

i got 90 but not sure.

UPDATE: Don't 90 isn't the answer. I did a minor error.

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(Original post by

could you work out the answer to what GCX posted? I want to see if i got it right.

i got 90 but not sure.

**Pretish**)could you work out the answer to what GCX posted? I want to see if i got it right.

i got 90 but not sure.

Hopefully some other students can join in with the thread. I'll continue to post questions if it's just you answering since I think this thread could be useful for future years.

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#20

(Original post by

If _gcx hasn't replied later then I'll take a look.

Hopefully some other students can join in with the thread. I'll continue to post questions if it's just you answering since I think this thread could be useful for future years.

**notnek**)If _gcx hasn't replied later then I'll take a look.

Hopefully some other students can join in with the thread. I'll continue to post questions if it's just you answering since I think this thread could be useful for future years.

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