Explaining, convincing and proving
-
-
problemFavouriteStats Statements
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
-
-
problemFavouriteDirect Logic
Can you work through these direct proofs, using our interactive proof sorters?
-
problemFavouriteDangerous Driver?
Was it possible that this dangerous driving penalty was issued in error?
-
problemFavouriteAreas and Ratios
Do you have enough information to work out the area of the shaded quadrilateral?
-
problemFavouriteShape and Territory
If for any triangle ABC tan(A - B) + tan(B - C) + tan(C - A) = 0 what can you say about the triangle?
-
problemFavouriteBinomial
By considering powers of (1+x), show that the sum of the squares of the binomial coefficients from 0 to n is 2nCn
-
problemFavouriteOrthogonal Circle
Given any three non intersecting circles in the plane find another circle or straight line which cuts all three circles orthogonally.
-
problemFavouriteMechanical Integration
To find the integral of a polynomial, evaluate it at some special points and add multiples of these values.