60Upper Secondary Big Buttonhttp://nrich.maths.org/secondary-upperen 2012 http://nrich.maths.org/public/terms.phpIrrational ConstructionsWhat questions does the spiral construction prompt you to ask?http://nrich.maths.org/11605Wed, 01 Dec 1999 00:00:01 +0000Nested SurdsCan you find values that make these surd statements true?http://nrich.maths.org/11597Wed, 01 Dec 1999 00:00:01 +0000Irrational RootsYou're used to working with quadratics with integer roots, but what about when the roots are irrational?http://nrich.maths.org/11596Wed, 01 Dec 1999 00:00:01 +0000Staircase SequencesCan you make sense of these unusual fraction sequences?http://nrich.maths.org/11593Wed, 01 Dec 1999 00:00:01 +0000Time to Be Irrationalhttp://nrich.maths.org/11584Wed, 01 Dec 1999 00:00:01 +0000Have a SineThere's much more to trigonometry than sin, cos and tan...http://nrich.maths.org/11521Wed, 01 Apr 2015 00:00:01 +0100Equation or Identity (2)Here are some more triangle equations. Which are always true?http://nrich.maths.org/11520Wed, 01 Apr 2015 00:00:01 +0100Equation or Identity (1)Which of these equations concerning the angles of triangles are always true?http://nrich.maths.org/11519Wed, 01 Apr 2015 00:00:01 +0100Can You Find... Trigonometry EditionWhat graphs can you make by transforming sine, cosine and tangent graphs?http://nrich.maths.org/11518Wed, 01 Apr 2015 00:00:01 +0100The Circle of Apollonius... Coordinate EditionCan you sketch and then find an equation for the locus of a point based on its distance from two fixed points?http://nrich.maths.org/11486Sun, 01 Mar 2015 00:00:01 +0000Finding CirclesCan you find the centre and equation of a circle given a number of points on the circle? When is it possible and when is it not?http://nrich.maths.org/11485Sun, 01 Mar 2015 00:00:01 +0000Quadrature of the LunesA lune is the area left when part of a circle is cut off by another circle. Can you work out the area?http://nrich.maths.org/11484Sun, 01 Mar 2015 00:00:01 +0000The Quintessential ProofIn this resource, the aim is to understand a fundamental proof of Pythagoras's Theorem.http://nrich.maths.org/11483Sun, 01 Mar 2015 00:00:01 +0000Transformation ... or Not?This graph looks like a transformation of a familiar function...http://nrich.maths.org/11315Thu, 01 Jan 2015 00:00:01 +0000A Tangent Is ...What do we REALLY mean when we talk about a tangent to a curve?http://nrich.maths.org/11314Thu, 01 Jan 2015 00:00:01 +0000Can You Find ... Asymptote EditionGiven a sketch of a curve with asymptotes, can you find an appropriate function?http://nrich.maths.org/11313Thu, 01 Jan 2015 00:00:01 +0000Can You Find ... Cubic EditionCan you find cubic functions which satisfy each condition?http://nrich.maths.org/11312Thu, 01 Jan 2015 00:00:01 +0000A Big PowerHave you ever tried to work out the largest number that your calculator can cope with? What about your computer? Perhaps you tried using powers to make really large numbers. In this problem you will think about how much you can do to understand such numbers when your calculator is less than helpful!http://nrich.maths.org/11311Mon, 01 Dec 2014 00:00:01 +0000Factorial FragmentsHere you have an expression containing logs and factorials! What can you do with it?http://nrich.maths.org/11310Mon, 01 Dec 2014 00:00:01 +0000Proving the Laws of LogarithmsHere you have an opportunity to explore the proofs of the laws of logarithms.http://nrich.maths.org/11309Mon, 01 Dec 2014 00:00:01 +0000Summing to OneThis problem is a nice introduction that will give you a feeling for how logs work and what that button on your calculator might be doing.http://nrich.maths.org/11308Mon, 01 Dec 2014 00:00:01 +0000Two-way FunctionsThis gives you an opportunity to explore roots and asymptotes of functions, both by identifying properties that functions have in common and also by trying to find functions that have particular properties. You may like to use the list of functions in the Hint, which includes enough functions to complete the table plus some extras.You might like to work on this problem in a pair or small group,
or to compare your table to someone else's to see where you have used the same functions and where not.http://nrich.maths.org/11301Sat, 01 Nov 2014 00:00:01 +0000Approaching AsymptotesCan you describe what an asymptote is? This resource includes a list of statements about asymptotes and a collection of graphs, some of which have asymptotes. Use the graphs to help you decide whether you agree with the statements about asymptotes.http://nrich.maths.org/11300Sat, 01 Nov 2014 00:00:01 +0000Picture the Process IHow does the temperature of a cup of tea behave over time? What is the radius of a spherical balloon as it is inflated? What is the distance fallen by a parachutist after jumping out of a plane? After sketching graphs for these and other real-world processes, you are offered a selection of equations to match to these graphs and processes.http://nrich.maths.org/11299Sat, 01 Nov 2014 00:00:01 +0000Absolutely!What can you say about this graph? A number of questions have been suggested to help you look at the graph in different ways. Use these to help you make sense of this and similar graphs.http://nrich.maths.org/11298Sat, 01 Nov 2014 00:00:01 +0000