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d.write("var wordMap = new Array(\" link maths champion mental arithmetic test physics algebra unit fractions decimals percentage probability bidmas test revision help useful links \",\" topics electricity magnetism forces motion waves outer space energy radioactivity physics momentum centre mass electromagnetic spectrum refraction heat transfer optic lenses diagrams earthquake waves transformers speed acceleration electrical circuits pressure particles solids liquid gases stopping distances solar system resources light colour sound ultrasound circuit components equations electrics electric motor effect \",\" numbers shapes angles geometry statistics graphs algebra maths pythagoras trigonometry circles brackets foil factors simultaneous equations trial improvement fractions decimals percentage handling data probability trees equivalent mathionaire game from subtangent countdown from subtangent gathering terms mode median mean topics rounding numbers sequences bidmas directed \",\" topics momentum centre mass speed acceleration \",\" momentum momentum moving object found multiplying mass velocity this makes unit kilograms metres second play animations collision conserved before same after first animation shows balls colliding this ball half both stick together move collisions explosion situation objects held under tension their zero when they released opposite directions each mass momentums each equal know work left right \",\" centre mass centre gravity object where weight said from experiment find shape turning moments distance force turning moment defined force applied beam lever perpendicular distance direction pivot fulcrum diagram shows clockwise because would turn this anticlockwise balanced moment must equal useful link \",\" rearranging equations gathering terms ‘b2'term ‘b2term ‘ab' term subtract like only cannot above equation simplified it's further example take test another good idea underline each type different colour this first types colour that they gathered together also eliminating numbers from side either adding subtracting multiplying dividing then divide both final answer click here algebra \",\" waves wave frequency seen number complete waves passing fixed point second frequency measured hertz wave kilohertz 1000 megahertz 1000000 gigahertz is1000000000 equation speed wavelength formula triangle check three versions this speed types transverse this where particle movement producing right angles direction motion light electromagnetic spectrum water secondary earthquakes transverse longitudinal parallel same these called pressure sound primary longitudinal \",\" speed speed particular time long short going fast speed distance slow divided metres seconds second velocity same unit velocity direction usually referred displacement distance graph above plots journey section shows moving away from start constant straight positive gradient line indicates where increasing proportion section flat this means that there with negative sows returning \",\" using formula triangle rearrange equations involving three quantities when given them asked work third look equation speed distance time speed check with another example volts current resistance ohm's ohms play animation look examples below \",\" magnetic fields opposite poles north south attract each other same repel field lines imaginary which represent magnetic strongest where close together magnet play animation electromagnets iron steel made into wrapping coil wire around passing electric current through iron best material because easily magnetised quickly loses magnetism when switched strength electromagnet increased increasing number turns relay switch relay switch example used allow small circuit larger \",\" energy transfers created destroyed only transferred from form another here some examples energy changes candle chemical light heat falling object transfers gravitational potential kinetic crossbow elastic strain kinetic other examples microphone sound electric loud speaker electric sound light bulb firework chemical motor \",\" shapes radius triangle circle area square rectangle parallelogram rhombus hexagon trapezium right angles sides equal opposite parallel opposite \",\" electromagnetic spectrum waves carry energy infrared heat visible light obviously carries x-rays gamma rays high radio including microwaves used communications modulated such that they sound pictures analogue digital signals these days using signals important understand difference between analogue digital change gradually like steps either signal sampled certain time periods read level converted into binary pulses \",\" angles circles angles semi circle angle subtended centre twice circumference tangent line which touches makes with radius between chord equal opposite segment centre chord segment diameter sector parts click here back circumference area \",\" pythagoras trigonometry right angled triangles these rules work sine cosine tangent random from subtangent this triangle hypotenuse other sides then then rearrange equation find know side opposite angle angle your calculators press degrees sin-1 back equations same with with angles have choose correct also combinations pythagoras test \",\" numbers number that only have themselves factors said prime numbers example this sequence called prime number square next difference between increases every time triangle cube \",\" factors numbers which divide exactly into higher number said factors example easy method working what first write down will 96÷2 write 96÷3 96÷4 factor onto have already list covered this yourself find hint highest common work different numbers highest that appears both lists prime presentation prime when multiplied together produce check press start \",\" brackets multiplying brackets using first outside inside last \",\" refraction light when goes into glass water from slows down comes angle changes direction bends towards normal leaves away speeds again imaginary line perpendicular right angles edge \",\" physics coursework electrical resistance length wire affects it's resistance have plan experiment investigate piece will affect read study notes below this help successful completion your coursework planning press start play animation where describe going carry need make list equipment draw circuit diagram list possible variables things that change during describe which keep same fair test state what readings measurements must select suitable range display results examples tables graphs show would calculate from taken using ohm's ohms predict think outcome marks prediction based sound scientific theory this metals conduct electricity page might cause then decide whether increasing increase decrease were testing thickness want really impress resistivity equation back sketch look like observation obtaining obtain them charts your cover example metre should choose lengths reasonable intervals along whole reading current each ammeter sure take least three average ohms voltmeter plot graph against axis back analysis conclusion tour show increases increases write shows better quantify doubles halves when look your graph find relationship relates evaluation probably hardest part investigation score good look anomalous into pattern others explain caused happen comment reliable suggest further work could improve \",\" heat transfer will move from area high temperature bigger difference greater rate transfer there three ways heat transferred conduction convection radiation takes place solid when material heated atoms vibrate faster these vibrations passed atom until vibrating hence energy through convection liquid where free around diagram shows rising when does this because particles they gain occupy larger volume because same number mass makes less dense than surrounding cold less always floats more fluids hence rises colder process happen this type called convection involve electromagnetic waves spectrum infrared part involved travel vacuum travels space which dark objects absorb radiated better light silver play above clip rise dark dark objects also radiate heat better than light silver water were cans allowed cool would fastest \",\" inequalities this sign means greater than less equal examples write down numbers represented answer draw these line closed circle used when open just back \",\" optics long sightedness hyperopia concave lens concave diverging light passing through centre will straight whereas parallel rays either side spread diverge they come from point focal line called principle axis convex convex converging this time outside converge long sighted person objects distance cannot close rays near object focus behind retina fig1 helps rectify this problem that sensitive part back short myopia short distant light front diagrams \",\" diagrams rays virtual real extended backwards inverted diminished image produced magnified image upright virtual next section deals with reflection curved mirrors object between further away enlarged drawn passing though focal point side lens this passes through leaves path parallel principle axis drawing accurate this should meet other intersection possible predict size position convex constructing diagram same distance play diagrams from centre line goes another straight where beyond nearer time will behind they have back front they produce fig4 opposite projected onto screen formed cannot virtual images concave mirror \",\" \",\" trial improvement formulae solved trial improvement method make estimate what unknown quantity might test solve decimal places between your calculations table x2		 small big	 nearest \",\" transformers transformer used transform voltage down which transforms called step celled consists coils wire wrapped around iron core change depends number each coil there more turns secondary than primary stepped less ratio same turns questions with transformer? volts what coil? steps circuit from 1000 many describe three situations where situation \",\" electrical circuits series series circuit components connected after other this bulbs volt battery voltage potential difference shared current same round current through parallel parallel each separarte branches across bulb sames shared between components diode allows flow direction only resistor controls flowing higher resistance lower lamp increases temperature filament lamp variable resistor this which increased decreased light dependent decreases light intensity thermistor resistance ammeter measures amps voltmeter volts cell provides battery number cells total pd's switch open breaks stops closed completes allows fuse melts goes high when fault occurs stops from protects click here \",\" radioactivity radioactive materials have unstable nuclei which decay into more stable they this emitting particles from their nucleus there types particle alpha beta decay some elements alpha these consist protons neutrons same helium radium decays radon emission note number atomic mass bottom beta this when neutron changes proton electron stays emitted carbon nitrogen gamma after been remain exited state rearranged resulting form high energy electomagnetic radiation penetration rays least penetrating easily stopped sheet paper only travel pass through thin aluminium several metres very many lead \",\" fractions decimals percentage these used represent part whole amount animation below shows convert between them decimal fraction there number right decimal point write down ignoring over then simplify it's lowest form numbers above this time 1000 same fraction divide bottom percent multply answer percent multiply move places x100 opposite divide left make list factors numerator denominator find highest which appears both lists example into simplest method looks familiar finding common factor described section equivalent fractions blue parts equivalent multiplying example home useful link take test \",\" pressure pressure force area force newtons acts what does exert pascals rearranged versions ÷pressure \",\" pictograms pictures used represent data chart that survey different makes passing school hour results were fords bmws toyotas vauxhalls could draw like following ford toyota vauxhall handling data this what would look said picture represents cars this notice half pictures charts pieces amount each item list calculate degrees needed dividing total multiplying answer apples plums bananas pears \",\" particles solids liquids gases solid particles packed close together fixed pattern structure cannot move solid liquid liquid still touching each other around flow random directions \",\" there balls green draw tree diagram random picks work probability then work probabilities decimals there beads blue picking back pick again still with first another second likewise other words follow branches multiplying probability trees examples impossible certain even chance unlikely likely line when consider that something happen able figure form decimal between even example will dark teatime monday breakfast tuesday morning landing venus this week tossed coin heads have weather forecast says rain tomorrow must being forecaster that means more than events could they football team playing match winning drawing therefore them losing find event happening happening straight after multiply need together ball would \",\" stopping distances distance made thinking braking both increase speed increases proportion increasing graph against would straight line travel reaction time rospa simulator click here braking square look like this greater 40ft lengths =23m 75ft 120ft 9car =53m 175ft 13car 240ft 18car 315ft thinking things which affect stopping these things with drive drinking alcohol taking drugs tiredness illness concentrating road conditions worn tyres poor brakes roads grease never confuse distance reaction \",\" solar system click start play animation nine planets will come into view solar system orbit order shown orbits perfect circles they eliptical which means that pluto neptune sometimes swap positions saying remember very efficient mother just served nine pies \",\" energy resources energy earth originally came from hundreds millionsof years when partly covered with swampy forests plants died fell ground layer dead bottom swamps layers water dirt trapping heat pressure compressed making plant remains turn into what today call coal were formed animals living seas same form coal known fossil fuels because they hundreds millions cannot replaced used renewable resources useful link \",\" simultaneous equations solving simultaneous equations using graphical method take consider equation when line crosses axis values where lines cross play animation both with unknowns them cannot find have either following methods elimination look these subtract from substitute this value back into check answer correct different signs this time correct multiply sometimes need multiply -12y test click here \",\" light colour when white light dispersed through prism splits into colours spectrum showing that actually made different similar thing happens when rainbows formed primary blue green blue green mixed produce magenta cyan yellow cyan secondary shines object only reflected other absorbed reflects form objects others both make from colour filters work filter passes only \",\" sound waves longitudinal produced mechanical vibrations amplitude wave determines volume loudness sound loud quiet frequency pitch high speaker loudspeaker vibrates particles energy transferred remember trying measure distance between object causing echo wall above animation have divide answer because sound travels back therefore echo above heard after seconds would have travelled 1320 metres distance wall therefore 1320÷ this tequique more often used with ultrasound reflected echoes evidence this possible calculate using rearrange speed equation speed time measure before hear multiply echoes normally that human range frequencies which cannot detected know cannot travel through vacuum such space ultrasonic usually electronic systems nature creatures bats comunicate ultrasonic signals uses ultrasound useful link example pulses from between pulse being sent received recorded oscilloscope depth calculated same calculation water 1500 =1500 depth sounding shown screen axis sometimes smaller seen larger could occur when shoal fish pass beneath boat fishing boats ultrasound finders pre-natal scans partially boundaries materials differing densities amount depends extent difference density image unborn baby built theses reflections utrasound also medicine treat gall stones kidney industry scan internal defects cleaning some tooth brushes utrasonic clean teeth \",\" electric motor effect when current flows through conductor magnetic field experiences force acting direction depends left hand rule shows directions magnetic current force motion first finger second thumb turned going into page down coming play animation click here \",\" equations electrics ohm's ohms potential difference current resistance units volts amps work voltage when know current power equation rate which energy transformed device time power easily worked multiplying potential watts next equations pupils taking higher tier energy joules flow charge flow charge coulombs seconds take test \",\" mode median mean list numbers such information collected survey} possible find mode number which occurs most middle when written down ascending order average value together divide many there example look this write them there more than other 1+2+2+4+4+5+6+8+8+8+9 divide answer 1818 decimal place missing from multiply total remaining 2+5+7+11 subtract given case take test \",\" rounding numbers nearest whole number when rounding right hole most important thing consider this more considering rounded less than stays example would because next right follows same method hundred round thousand million always look asked write down given decimal places using above second place three writing significant slightly different take 43521 significant figure first answer 40000 46521 50000 figures 52121 52000 52621 53000 0056 0054 rule always look number right first significant take test \",\" sequences sequence list numbers which follow rule pattern most simple where ones this each time difference between number these sequences have differences differences increases next would increase when asked continue fill some missing work square cube when multiplied there kinds rules look sequence pattern twice less times finding look multiply then what needs added subtracted make also subtract test \",\" bidmas this means brackets indices division multiplication addition subtraction order operation bodmas same only indices called ‘order' ‘order calculations carried this order example brackets multiplication comes first come then subtraction have next answer click here test \",\" -10-9-8-7-6-5-4-3-2-1 directed numbers look numbers line above take number example want move right direction along subtract from left take same rule applies that when adding subtracting mixed signs minus plus words temperature degrees drops would then rose likewise with multiplication division \",\" this section developed level physics forum discuss revision advice \");");
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d.write("var preMap = new Array(\"Link to maths champion Mental arithmetic test  Link to physics champion Algebra test Unit 1a test Unit 1b test Fractions decimals and  percentage Probability test BIDMAS TEST Revision help and useful \",\"Topics Electricity and magnetism Forces and Motion Waves Outer Space Energy Radioactivity Physics momentum Centre of mass Electromagnetic spectrum refraction Heat Transfer  Optic lenses Ray diagrams E\",\"Numbers Shapes Angles and Geometry Statistics and Graphs Algebra Maths Pythagoras and trigonometry Angles in circles Brackets  FOIL  factors Simultaneous equations trial and improvement fractions  dec\",\"Topics momentum Centre of mass Speed and acceleration \",\"Momentum The momentum of a moving object is found by multiplying its mass by  Its velocity  This makes the unit of  momentum Kgm s   Kilograms x  Metres per second     Play the animations  In a collis\",\"  Centre of mass The centre of mass or centre of  Gravity  of an object is where its Weight is said to act from   You can do an experiment to find the centre of mass of a  Shape   Turning moments Dist\",\"Rearranging equations Gathering terms 2a + 3ab – b2 +3a – ab +a  ‘b2'term  ‘ab' term ‘ab' term ‘a' term ‘a' term ‘a' term You can add or subtract like terms only  You cannot mix terms  So the above eq\",\"Waves Wave frequency can be seen as the  number of complete of complete waves  passing a fixed point in one second  Frequency is measured in Hertz  Hz  1 Hertz is 1 wave per second 1 kilohertz  KHz  i\",\"SPEED Speed is how far you go in  particular time  If you go a long way in a short time you are  going at a fast speed and if you go a short  distance in a long time you are going at a  slow speed  Sp\",\"Using the formula triangle  to rearrange equations Using the triangle Use the triangle in equations involving three  quantities when you are given two of them and  you are asked to work out the third \",\"Magnetic fields Opposite poles  north and south   attract each other  The same poles repel each other  The field lines are imaginary  lines which represent the  magnetic field  The field is the strong\",\"Energy Transfers Energy is not created or destroyed  it is only  transferred from one form to another   Here are some examples of energy changes A candle changes chemical energy to  light and heat A f\",\"Shapes radius triangle Circle Area = πr 2 Square rectangle parallelogram rhombus hexagon trapezium All right angles  and all sides  equal All right angles opposite  sides equal All sides equal opposit\",\"Electromagnetic Spectrum Electromagnetic waves carry energy  Infrared carry heat  energy  visible light obviously carries light energy  X-rays and gamma rays are high energy waves  Radio waves   inclu\",\"Angles in circles All angles in a semi circle are 90 o The angle subtended at the centre is twice  the angle at the circumference A tangent is a line  which touches the  circle and makes an angle Of  \",\"Pythagoras and  trigonometry   right angled triangles  Use these rules to work out sine  cosine and tangent in trigonometry Random trigonometry From subtangent b a h In this triangle h is the hypotenu\",\"numbers Number that only have themselves and 1 as  factors are said to be Prime Numbers  For example  2  3  5  7  11  13  17  19  23  29  etc  This sequence is called a prime number sequence 1  4  9  \",\"Factors Numbers which divide exactly into a higher number  are said to be factors of the higher number  For example 2 x 3 = 6    2 and 3 are factors of 6 An easy method for working factors out What ar\",\"Brackets Multiplying brackets  using First  Outside  Inside  Last \",\"Refraction of light When a light ray goes into glass  or water  from air it slows down  If the ray comes in at  an angle it changes direction  bends  towards  the normal  When it leaves the glass it b\",\"Physics Coursework Electrical Resistance  how the length  of a wire affects it's resistance   You have to plan an  experiment to  Investigate how the  length of a piece of  wire will affect it's  resi\",\"Heat Transfer  Heat will try to move from an area  of high temperature to low temperature  The bigger the difference in temperature the greater the rate  of transfer  There are three ways heat is tran\",\" Inequalities  This sign means greater than   This sign means less than   This sign means greater than or equal to   This sign means less than or equal to   Examples Write down the numbers represented\",\"g c s e  OPTICS Fig 1 Fig 2 Long sightedness hyperopia Concave lens F A concave lens is a diverging lens   A light ray passing  through the centre will go straight through whereas  parallel rays on ei\",\"Ray Diagrams The red rays are VIRTUAL rays and are the real rays extended backwards An inverted  diminished  real Image is produced  An inverted  magnified  real image is produced An upright  magnifie\",\"\",\"Trial and Improvement  Formulae can be solved by the trial and  improvement method  We make an estimate of what the unknown quantity might be and test the estimate out  Trial and improvement  Solve   \",\"Transformers   A transformer is used to transform AC voltage up or down   A transformer which transforms voltage up is called a step up    transformer    A transformer which transforms voltage down is\",\"ELECTRICAL CIRCUITS Series In a series circuit the  components are connected one after the other  In this circuit two bulbs are  connected in series  If the  circuit is connected to a  6 volt battery \",\"Radioactivity Radioactive materials have unstable nuclei which try to  decay into more stable nuclei  They do this by emitting  particles from their nucleus  There are two types of particle  Alpha and\",\"Fractions  Decimals  and Percentage These can all be used to represent a part of a whole amount   the animation below shows how to convert between them Decimal to fraction If there is one number to th\",\"pressure Pressure = Force ÷ area If a force of 10 newtons acts on an area of 2m² What pressure does it exert   pressure = force ÷ area pressure = 10 newtons ÷ 2 m² pressure = 5 newtons m² or 5 pascals\",\"Pictograms Pictures can be used to represent data in a chart  Let us say that we did a survey of the different makes of car passing the school in 1 hour  The results were  6 Fords 2  BMWs  5 Toyotas a\",\"Particles in solids liquids  and gases  In a solid the particles are packed close together in fixed pattern  structure  and cannot move Solid Liquid In a liquid the particles are  still touching each \",\"Q1  if there are 20 balls in a box 12 are green and 8 are  red  Draw a tree diagram for 2 random picks   Work out the probability of   a  Red then red  b  green then red  and  c  green then green    w\",\"Stopping distances Stopping distance is made up of thinking distance and braking distance  Both increase as the speed increases thinking distance increases in proportion to increasing speed thinking  \",\"Solar System Click start to play The animation  and the nine planets will come  into view The planets in the solar system orbit the sun in the order shown in the animation  The orbits are not perfect \",\"Energy resources  The energy we use on earth originally came from the sun   Hundreds of millionsof years ago  when the earth was partly covered with swampy forests  As the plants died and fell to the \",\"Simultaneous Equations 1 Solving simultaneous equations using the graphical method  Take the two equations  2x + 2y =10                                and  4x - 2y = 8 consider equation 2x + 2y =10  w\",\"Light and colour When white light is dispersed through a prism it splits into all the colours of the spectrum  showing that white light is  actually made up of all the different colours  a similar thi\",\"Sound Sound waves are longitudinal waves produced by mechanical vibrations     The amplitude of the wave determines the volume  loudness  of the sound Loud sound Quiet sound The frequency of the wave \",\"Electric motor effect When a current flows through a conductor in a magnetic field it experiences a force acting on it  The direction of the force depends on the direction of the magnetic field and th\",\"Equations in electrics    Ohm's law         Potential difference  V  = Current  I  x resistance  R  Units  - Potential difference is in  Volts  Current is in Amps and resistance is in Ohms         V  \",\"Mode  median and mean In a list of numbers  such as information collected in a survey} It is possible to find the mode  median and mean   The mode is the number which occurs most  The median is the mi\",\"Rounding numbers Rounding to the nearest whole number When you are rounding a number the the number  to the right of the hole number is the most important thing to consider  If this number is 5 or mor\",\"Sequences A sequence is  a list of numbers which  follow    a rule or pattern  The most simple sequence is 1 2 3 4 5 6 7 8 9  where the numbers go up in ones  So the pattern or rule for this sequence \",\"BIDMAS This means Brackets Indices  Division Multiplication Addition Subtraction   Order of operation BODMAS is the same only indices is called ‘order' Calculations are carried out in this order For e\",\"-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 Directed Numbers Look at the numbers line above  Take any number   5 for example   If you want to add to it you move  In the right direction along the numb\",\"This section is to be  developed for A Level Physics Use forum to discuss revision advice \");");
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