2023 School Trial Papers (1 Viewer)

tywebb

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is that the actual 2023 James Ruse Ext 2 Trial paper?
No. Same questions though.

There is yet a third version of the James Ruse ext. 2. This one has solutions in the same file. See attached.

It seems that the 2 previous versions were created with LaTeX whereas this one is created in Word.

Although this IS the original one, the clean LaTeX one in post #28 looks better.

...... with some caveats however. There are unfortunately some errors in the LaTeX versions.

In the uwuse version in 11a should be . This was fixed in the clean LaTeX version.

In 11d "equation" should be "centre":

original:
11d-original.png
latex versions:
11d-latex.png
Curiously, even the original has an error: "equations" should be "equation" - which ironically is correct in the LaTeX version!

12bi has = in an obviously wrong place:

12bi.png
Also 14b LaTeX version has this missing:
14b-original.png
Mark allocation for 13b is 3 not 2
Mark allocation for 14biii is 3 not 4
 

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tywebb

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i did upload the 'clean' version
Apart from the errors, here is some LaTeX advice to improve the LaTeX version, some very subtle, others not so subtle.

1. Not so subtle: Don't break mathematical expressions like in 11a:

11a.png
Try this code

Code:
By first writing $\sqrt3+i$ and $\sqrt3-i$ in exponential form,\\
express $(\sqrt3+i)^{12}+(\sqrt3-i)^{12}$ in the form of $a^b$ where $a$ and $b$ are integers.
which yields this instead:

11abetter.png

Other questions in the LaTeX version with broken mathematical expressions: 12bii, 12c, 13aii

2. Subtle: Space before dx in integrals. I use Cambridge Ex4A Q1b as an example and I make this picture big so you can see clearly a space before the dx:

Cambridge4A1b.png
It's not a big space. You can use \ \! to make a space and then bring it back a bit.
So in 12biii instead of this:
12biii.png
this code
Code:
$$\int_0^\frac{\pi}{2}\frac{x}{1+\cos x+\sin x}\ \!dx$$
yields this instead and although very subtle, you can see that there is a small space before the dx now:

12biii-small-space-before-dx.png
3. Subtle: smaller tilde for vector.
See in the original:
q3-vector-original.png
your LaTeX version has a huge tilde:


q3-vector-huge-latex.png
so how to make a smaller tilde in LaTeX?
This code:
Code:
\documentclass{article}
\usepackage{accents}
\newcommand{\ut}[1]{\underaccent{\tilde}{#1}}
\renewcommand{\vec}[1]{\ut{#1}}
\begin{document}
$\vec r(t)$
\end{document}
yields
q3-vector-small-tilde-latex.png
 
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Aeonium

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Apart from the errors, here is some LaTeX advice to improve the LaTeX version, some very subtle, others not so subtle.

1. Not so subtle: Don't break mathematical expressions like in 11a:

View attachment 39818
Try this code

Code:
By first writing $\sqrt3+i$ and $\sqrt3-i$ in exponential form,\\
express $(\sqrt3+i)^{12}+(\sqrt3-i)^{12}$ in the form of $a^b$ where $a$ and $b$ are integers.
which yields this instead:

View attachment 39819

Other questions in the LaTeX version with broken mathematical expressions: 12bii, 12c, 13aii

2. Subtle: Space before dx in integrals. I use Cambridge Ex4A Q1b as an example and I make this picture big so you can see clearly a space before the dx:

View attachment 39820
It's not a big space. You can use \ \! to make a space and then bring it back a bit.
So in 12biii instead of this:
View attachment 39821
this code
Code:
$$\int_0^\frac{\pi}{2}\frac{x}{1+\cos x+\sin x}\ \!dx$$
yields this instead and although very subtle, you can see that there is a small space before the dx now:

View attachment 39822
3. Subtle: smaller tilde for vector.
See in the original:
View attachment 39823
your latex version has a huge tilde:


View attachment 39824
so how to make a smaller tilde in LaTeX?
This code:
Code:
\documentclass{article}
\usepackage{accents}
\newcommand{\ut}[1]{\underaccent{\tilde}{#1}}
\renewcommand{\vec}[1]{\ut{#1}}
\begin{document}
$\vec r(t)$
\end{document}
yields
View attachment 39825
ah okay, so newline to keep math expressions on the same line
for integrals, do you think using \; for spacing is fine or is \\! preferred in general
will take the vector command =) thank you for advice
 

tywebb

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do you think using \; for spacing is fine or is \\! preferred in general
It's only a small space. \; will give a slightly larger space. \ without the \! will also be larger.

There are several ways to make the space. The point is that something is better than nothing. Here are some for comparison:

Code:
$$\int x\;dx$$
$$\int x\ dx$$
$$\int x\,dx$$
$$\int x\ \!dx$$
$$\int xdx$$
Screen Shot 2023-09-20 at 1.50.46 pm.png
The last one is with nothing which isn't very good.

I would be inclined to do it with \, or \ \!
 

tywebb

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tywebb

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Nothing new added to post #7 today but to make it easier to download the maths I made zips:

7 advanced ; 8 ext 1 ; 11 ext 2

For the James Ruse Ext 2 I only put the original, not the LaTeX versions.

I'll make them bigger if more are added later.

I might make zips for the other subjects too if they become big too.
 
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kyle norton

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Yeah that shore test isn't a trial, its a task 2 mainly on networks and financial maths which are two topics im very strong with
 

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