tag:blogger.com,1999:blog-294708402011-07-24T19:41:14.801+01:00blogMrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.comBlogger71100tag:blogger.com,1999:blog-29470840.post-1161718171392268452006-10-24T20:11:00.000+01:002007-02-20T07:26:50.526Z<div align="center"><span style="color:#cc0000;">Year 13 Hints</span></div><span style="color:#000099;"></span><br /><div align="left"><span style="color:#000099;">1 a What is cos x? b What is sin x?</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">2 Find 3x first.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">3 Use the appropriate identity to produce a quadratic in tan x.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">4 See the examples before exercise 7D.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">5 Multiply both the numerator and denominator by sin x.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">6 Use the double angle formulas. Use the appropriate versions of cos 2x so that the ones cancel.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">7 Factorise both the numerator and denominator.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">8 Factorise and then write with a common denominator.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">9 a You can't simplify fg(x).</span></div><div align="left"><span style="color:#000099;">b Swap x and y, then rearrange. c ditto!</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">10 This is a quadratic equation.</span></div><div align="left"><span style="color:#000099;"></span> </div><div align="left"><span style="color:#000099;">11 Is there an asymptote?</span></div><div align="left"> </div><div align="left"><span style="color:#000099;">12 Remember: for an inverse to exist every value of y must have only one value of x.</span></div><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/29470840-116171817139226845?l=mrswestmathsblog.blogspot.com' alt='' /></div>Mrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.com0tag:blogger.com,1999:blog-29470840.post-1150654207477746302006-06-18T18:45:00.000+01:002006-06-18T19:10:07.496+01:00<a href="http://photos1.blogger.com/blogger/1615/3141/1600/Photo.1.jpg"><img style="WIDTH: 442px; CURSOR: hand; HEIGHT: 245px" height="264" alt="" src="http://photos1.blogger.com/blogger/1615/3141/400/Photo.jpg" width="473" border="0" /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/29470840-115065420747774630?l=mrswestmathsblog.blogspot.com' alt='' /></div>Mrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.com0tag:blogger.com,1999:blog-29470840.post-1150649439357011712006-06-18T17:40:00.000+01:002006-06-18T17:59:28.630+01:00Problems involving money<br /><br />1. A drink and a box of popcorn together cost 90p.<br />Two drinks and a box of popcorn together cost £1.45.<br />What does a box of popcorn cost?<br /><br />2. Six friends went to a Chinese restaurant.<br />The total cost for the set menu was £75.<br />How much would the set menu cost for eight people?<br /><br />3. This is what a stationery shop charges for printing a book.<br />Print charges<br />3p per page<br />75p for the cover<br />Jan paid £4.35 for his book, including its cover.<br />How many pages were there in his book?<br /><br />4. A supermarket sells biscuits in these packets:<br /><br />15 biscuits for 56p<br />24 biscuits for 88p<br />36 biscuits for £1.33<br />Which packet is the best value for money?<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/29470840-115064943935701171?l=mrswestmathsblog.blogspot.com' alt='' /></div>Mrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.com0tag:blogger.com,1999:blog-29470840.post-1150399448161588302006-06-15T20:12:00.000+01:002006-06-15T20:24:08.176+01:00Numbers from digits<br /><br />Using three of the four digits below make three-digit numbers e.g. 194, 714 <br /><br /> <strong>1 4 7 9</strong><br /><br />1 The largest number is <br /><br />2 The smallest even number is<br /><br />3 The largest odd number is<br /><br />4 The number nearest to 700 is<br /><br />5 The number nearest to 800 is<br /><br />6 The number nearest to 200 is<br /><br />7 The number nearest to 300 is <br /><br />8 The number nearest to 500 is<br /><br />9 A number that can be exactly divided by three is<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/29470840-115039944816158830?l=mrswestmathsblog.blogspot.com' alt='' /></div>Mrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.com0tag:blogger.com,1999:blog-29470840.post-1149871526433406172006-06-09T17:39:00.000+01:002006-06-12T10:23:48.106+01:00<span style="color:#009900;"><strong><span style="color:#006600;">If you have two sand-filled timers, one for 11 minutes and one for 7 minutes. How would you use them to time 15 minutes without wasting any time at the start?<br></span> </strong></span><br /><strong><span style="color:#009900;"></span></strong><br /><br /><br /><a href="http://photos1.blogger.com/blogger/1615/3141/1600/egg%20timer.jpg"><img style="CURSOR: hand" height="76" alt="" src="http://photos1.blogger.com/blogger/1615/3141/200/egg%20timer.jpg" width="41" border="0" /></a><a href="http://photos1.blogger.com/blogger/1615/3141/1600/egg%20timer.jpg"><img style="CURSOR: hand" alt="" src="http://photos1.blogger.com/blogger/1615/3141/200/egg%20timer.jpg" border="0" /></a><br /><br /><br /><br /><span style="font-size:78%;">Thanks to Jon Millington</span><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/29470840-114987152643340617?l=mrswestmathsblog.blogspot.com' alt='' /></div>Mrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.com0tag:blogger.com,1999:blog-29470840.post-1149860750322482902006-06-09T14:38:00.000+01:002006-06-09T14:45:50.330+01:00The mathematician Pierre de Fermat (1601-65) discovered that some prime numbers are the sum of two square numbers. For example<br /><br /> <a href="http://photos1.blogger.com/blogger/1615/3141/1600/Photo.0.jpg"><img style="WIDTH: 119px; CURSOR: hand; HEIGHT: 31px" height="31" alt="" src="http://photos1.blogger.com/blogger/1615/3141/320/Photo.0.jpg" width="114" border="0" /></a><br />Investigate this for other prime numbers.<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/29470840-114986075032248290?l=mrswestmathsblog.blogspot.com' alt='' /></div>Mrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.com0tag:blogger.com,1999:blog-29470840.post-1149859807748429282006-06-09T14:21:00.000+01:002006-06-14T16:49:54.403+01:00Consider the formula<br /><a href="http://photos1.blogger.com/blogger/1615/3141/1600/Photo.jpg"><img style="WIDTH: 168px; CURSOR: hand; HEIGHT: 58px" height="75" alt="" src="http://photos1.blogger.com/blogger/1615/3141/320/Photo.jpg" width="154" border="0" /></a><br /><br />When n=1, P=17, which is a prime number.<br />Investigate for other values of n.<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/29470840-114985980774842928?l=mrswestmathsblog.blogspot.com' alt='' /></div>Mrs Westhttp://www.blogger.com/profile/15232726159761030739noreply@blogger.com0