2023 School Trial Papers (1 Viewer)

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tywebb

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Xyzpt said:
is that the actual 2023 James Ruse Ext 2 Trial paper?
Click to expand...
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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Aeonium said:
i did upload the 'clean' version
Click to expand...
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

Aeonium

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tywebb said:
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
Click to expand...
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
 
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tywebb

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Aeonium said:
do you think using \; for spacing is fine or is \\! preferred in general
Click to expand...
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 \ \!
 
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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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