7088
/www/nrich/html/content/id/7088/
1
2011-02-01T00:00:01
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<p>Our <b>Mathmo</b> interactive workout app works in desktop webkit browsers like Safari and Chrome, but it's even better on an ipod touch, iphone, ipad or an android mobile or pad. Using Mathmo, you can create your own set of practice questions and answers.</p>
<p>In Mathmo you'll find three screens - <strong>My Qs</strong>, <strong>Add</strong>, and <strong>About</strong>. <strong>My Qs</strong> is where you keep the questions you're currently working on. Use <strong>Add</strong> to generate fresh random questions on the topics you are studying. And finally, <strong>About</strong> gives you a little in-app help, as well as telling you about the
app.</p>
<p><b>For smartphone and pad users</b>, follow this link: <a href="/mobl/mathmo/mathmo.html">http://nrich.maths.org/mobl/mathmo/mathmo.html</a></p>
<p><b>For Chrome and Safari users</b>, <a href="/mobl/mathmo/mathmo.html" target="_blank">click here to open Mathmo in another window</a>.</p>
<p><strong>On iPhone and iPad and iPod touch</strong>, add Mathmo to your home page to install it as an app.<br></br>
<strong>On Android</strong>, add Mathmo as a bookmark first, and then make a shortcut to its bookmark.</p>
<p>We recommend that the first time you use it you are on at least a Wifi network rather than a mobile 3G network to avoid excessive download times. Thereafter 3G should be fine.</p>
<p>Mathmo is a web app and will update itself automatically when we update it on the server.</p>
<p>If you have a QR reader please point it at our code:</p>
<p><mdo:image src="mathmo%20qrcode.png"></mdo:image></p>
<p><br></br>
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This workbook generates random questions from the UK core A-level
mathematics syllabus.<br></br>
<br></br>
It is very powerful and contains a huge range of topics, including
graph sketching, trigonometry and all aspects of algebra and
calculus. It is instant to use and comes equipped with the
answers.<br></br>
<br></br>
There are no time limits, targets or scores: just the opportunity
for simple, unpressured practice.<br></br>
<br></br>
There are many ways in which you can use this resource:<br></br>
<br></br>
<ol>
<li>It is ideal for quiet use in the computer room for individual
study or revision</li>
<li>You can point students who are having difficulty towards it for
targeted practice on a certain question type.</li>
<li>You can suggest that 'high fliers' use the resource to practise
their skills, maximise their chances of a good A and improve their
own algebraic fluency. They will appreciate this when they arrive
at university where a high level of algebraic fluency gives a huge
advantage.</li>
<li>You can use the workbook for quick lesson starters.
By revising old, previously covered topics the knowledge of
students will be kept fresh and will have great benefit on the
students' overall mathematical skill.</li>
<li>You can suggest that students about to start university or year
13 use the workbook as a refresher after the holidays.</li>
<li>You can have a go yourself as the teacher if you are teaching
new material, feeling a little rusty or simply want to hone your
already impressive algebraic skill!</li>
</ol>
More workbooks are planned. Please do get in touch if you have any
comments.<br></br>
<br></br>
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You can use this workbook to practise your core mathematical
skills. This will be very useful both whilst at school and when you
move on to higher study, where a high degree of algebraic fluency
is really useful.<br></br>
<br></br>
<strong>Here are some hints and tips to improve your skills:</strong><br></br>
<ol>
<li>Don't be tempted to look at the answer if you think that you
can do the question unless you have actually done the question, on
paper with a pen.</li>
<li>Try not to use your calculator for the simple arithmetical
parts of a question - this is a bad habit to get into.</li>
<li>If you are stuck, don't give up immediately. Think about the
problem. Perhaps look at one or two answers and ask: how does this
answer work?</li>
<li>Accuracy is important, but speed is also important. This
workbook is good for speed training.</li>
<li>If your answer differs from the answer given then think: is my
answer wrong, or is it merely represented in a different form?</li>
<li>Use your skills in some interesting rich mathematical problems
from NRICH. You might want to look at the <a href="http://nrich.maths.org/content/id/5665/KS5Mappingdocv3.doc">core
mathematics curriculum document</a> for suggestions or just browse
the stage 5 content on the site.</li>
<li>Keep a record of your best times. See how quickly you can
complete one of each question type from each section.</li>
</ol>
<br></br>
<br></br>
<br></br>
<br></br>
<strong>What is a good time to aim for? </strong>
<br></br>
<br></br>
Fluency with mathematics means the ability to perform routine calculation BOTH quickly AND accurately. One without the other will hamper your progress, especially once you reach university.
<br></br>
<br></br>
To give you a feel for where you might be aiming, here are some average times for some of the questions as recorded by Judith, a second year mathematics undergraduate who worked with NRICH over the summer:
<br></br>
<br></br>
<table>
<tr>
<td colspan="2" >Algebra</td>
<td colspan="2" >Curve sketching</td>
<td colspan="2" >Differentiation</td>
</tr>
<tr>
<td>Quadratic equations</td>
<td width="75">8s</td>
<td>Modulus function for linear</td>
<td width="75">20s</td>
<td>Stationary points for quadratic</td>
<td width="75">10s</td>
</tr>
<tr>
<td>Completing the square</td>
<td>8s</td>
<td>Modulus function for quadratic</td>
<td>1m 10s</td>
<td>Stationary points for cubic</td>
<td>50s</td>
</tr>
<tr>
<td>Inequalities for quadratics</td>
<td>10s</td>
<td></td>
<td></td>
<td>Implicit differentiation</td>
<td>1m 10s</td>
</tr>
<tr>
<td>Inequalities for cubics</td>
<td>1m 10s</td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>Partial fractions</td>
<td>1m 30s</td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>Powers</td>
<td>1m</td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>Logarithms</td>
<td>20s</td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>Solving trig equations</td>
<td>40s</td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>TOTAL</td>
<td>5m 6s</td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
</table>
<br></br>
<br></br>
Can you match or beat Judith's times?
<br></br>
<br></br>
More times from other brave solvers will be posted periodically.
<br></br>
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<option value="0">Select Question Type</option>
<option value="1000">RANDOM QUESTION</option>
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<option value="100"> RANDOM ALGEBRA QUESTION</option>
<option value="10">Quadratic Equations</option>
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<option value="9">Factor Theorem</option>
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<option value="25">Transformations of functions</option>
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<option value="270">Implicit functions</option>
<option value="27">Parametric functions</option>
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<optgroup label="GEOMETRY">
<option value="300"> RANDOM GEOMETRY QUESTION</option>
<option value="15">Triangles</option>
<option value="16">Circles</option>
<option value="6">Lines in 3D</option>
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<optgroup label = "SEQUENCES AND SERIES">
<option value="400"> RANDOM SEQUENCES AND SERIES QUESTION</option>
<option value="8">Arithmetic Progressions</option>
<option value="12">Binomial Expansion</option>
<option value="23">Geometric Progressions</option>
<option value="2">Binomial Theorem</option>
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<optgroup label="VECTORS">
<option value="500"> RANDOM VECTOR QUESTION</option>
<option value="5">Scalar products</option>
<option value="18">Vector equation of lines</option>
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<optgroup label="DIFFERENTIATION">
<option value="600"> RANDOM DIFFERENTIATION QUESTION</option>
<option value="14">Stationary Points</option>
<option value="20">Chain Rule</option>
<option value="21">Product Rule</option>
<option value="22">Quotient Rule</option>
<option value="19">Implicit Differentiation</option>
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<optgroup label="INTEGRATION">
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<br></br>
<a id="hideShow1" href="#">Read about this interactivity</a>
<div style="display: none;" id="hidden1">
<br></br>
This is the NRICH interactive core mathematics workout! Problems, with solutions, are randomly created to give you plenty of opportunity to give yourself a mathematical workout time and time again.
<br></br>
You might wish to focus on a particular topic causing difficulty, try a few random questions to keep your skills boosted or time yourself to run through a random question of each type to improve your speed and fluency. Follow the <a href="http://nrich.maths.org/7088&part=clue"> hints tab </a> to see target times to aim for.
<br></br>
<br></br>
To explore the topics covered by this workbook in more detail you can try problems from our <a href="http://nrich.maths.org/7236">Scientific mathematics problem selection</a>
<br></br>
<br></br>
<div class="framework"><br></br>
NOTES AND BACKGROUND
<br></br>
The content covered in this interactive workbook is the procedural material typically covered in the C1 - C4 modules of A-level mathematics.
<br></br>
<br></br>
Questions are randomly generated allowing students to repeatedly test their knowledge and skills.
<br></br>
<br></br>
The dynamically generated mathematics problems on this page will display best using Firefox, Safari or Chrome browsers.
<br></br>
<br></br>
See the <a href="http://nrich.maths.org/7088&part=note">Teachers Notes tab
</a> for guidance on effective use or the <a href="http://nrich.maths.org/7088&part=clue">Hints tab
</a> for advice on problem solving.
</div>
</div>
<br></br>
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Interactive workout - Mathmo
Mathmo is a revision tool for post-16 mathematics. It's great
installed as a smartphone app, but it works well in pads and
desktops and notebooks too. Give yourself a mathematical workout!
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