Revision Questions (1 Viewer)

[shafqat]

Here are a few topic tests to help with revision for trials. Have fun.

 

[shafqat]

Here's a couple more.

 

[nit]

haha, the old "de Moivre's, de volumes et de recursion" test.

 

[ishq]

I thanks you!

 

[yrtherenonames]

I have the answers to the dynamics questions if anyone wants...I remember them being tricky. My brother goes to USyd and it seems that their Maths department uses exactly the same formatting as our maths tests...coincedence?

 

[Sphyx]

thanks for those.

 

[lfc_reds2003]

HAHAH

on the DEMOIVRE one:

It's not over yet, please turn over

heheheh

and on the integration:

And this one just for you

heheh

making maths funny!

 

[LaCe]

HAHAH

on the DEMOIVRE one:



heheheh

and on the integration:

heheh

making maths funny!

making maths funny...
funny...
you think that's funny...

sad

 

[haboozin]

i thought someone as nerdy as u in conics would've posted some conics Q's.

(not that im complaining about the rest)

 

[richz]

thnx shaf

 

[latania]

Can you please put up the solutions?
Thanks!! =)

 

[velox]

Shaf, some of them are identical to the cambridge The 3u ones anyway.

 

[niall045]

Thankyou for these, but id like to know whether im right or not. please post solutions.

 

[shafqat]

Shaf, some of them are identical to the cambridge The 3u ones anyway.

Many cambridge questions were originally grammar exam and test questions.

And to those asking about solutions: I'm getting to them. They take longer to scan up than the questions, and I'm a little busy at the moment. Hopefully I'll have them up by tonight.

 

[who_loves_maths]

Originally Posted by velox
Shaf, some of them are identical to the cambridge The 3u ones anyway.

considering the fact that Dr. Pender wrote the Cambridge series of books and that he is the head teacher of Mathematics at SGS, it shouldn't come as a surprise?

however, what might be surprising is that many of the Cambridge questions (the year 12 3u one) come exactly from the 3u green Fitzpatrick book - and that book was written by a Victorian author.

 

[shafqat]

considering the fact that Dr. Pender wrote the Cambridge series of books and that he is the head teacher of Mathematics at SGS, it shouldn't come as a surprise?

however, what might be surprising is that many of the Cambridge questions (the year 12 3u one) come exactly from the 3u green Fitzpatrick book - and that book was written by a Victorian author.

It's often not possible to ask different questions because the range of questions is quite limited in high school maths. You'll find it hard to find many original trial papers. cambridge also has a far greater range of questions.

 

[velox]

considering the fact that Dr. Pender wrote the Cambridge series of books and that he is the head teacher of Mathematics at SGS, it shouldn't come as a surprise?

however, what might be surprising is that many of the Cambridge questions (the year 12 3u one) come exactly from the 3u green Fitzpatrick book - and that book was written by a Victorian author.

Yes but i thought he would vary them since im sure he would use his own textbook to teach out of.

 

[shafqat]

The answers are a bit long, so if anyone wants any answers for proofs, ask, and I’ll scan up Pender’s solutions for that question.

Complex

1. a)22 + 13i
b) -1/13(5 + 14i)
c) Sqrt(17/13)

2. proof

3. a) circle, radius 2, centre (2,0). Shaded in.
b) x – 2y – 3 = 0
c) arc of a circle, endpoints (2,0) and (0, -i), radius 1/3 sqrt15

4.a) 3 + 4i
b) 83’ 8’

5. c) 30

6. proof

 

[shafqat]

De Moivre, volumes, recursion

2.d) 5

3. b) (z-1)(z^2 + z +1)(z^2 – 2zcos(2pi/9) + 1) (z^2 – 2zcos(4pi/9) + 1) (z^2 – 2zcos(8pi/9) + 1)

4. 1.81 cubic units

5. 2^(1/3) : sqrt( 2 ^ [2/3] – 1)

6. a) 10! (pi^10 / 10! – pi^8/8! + pi^6/6! – pi^4/4! + pi^2/2! – 2)

 

[shafqat]

Rates

1. a) $942
b) 12.2238%

2. a) $1801.85
b) 71%
c) 1500

3. c) 1/60 log 10
d) 2min 45 secs