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Resources tagged with PM - Reasoning, Justifying. Convincing. Proof. similar to What's a Group?:

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Broad Topics > Secondary processes > PM - Reasoning, Justifying. Convincing. Proof.

What's a Group?

Stage: 5 Challenge Level:

Explore the properties of some groups such as: The set of all real numbers excluding -1 together with the operation x*y = xy + x + y. Find the identity and the inverse of the element x.

Latin Numbers

Stage: 4 Challenge Level:

Can you create a Latin Square from multiples of a six digit number?

Dodgy Proofs

Stage: 5 Challenge Level:

These proofs are wrong. Can you see why?

Impossible Triangles?

Stage: 5 Challenge Level:

Which of these triangular jigsaws are impossible to finish?

Attractive Tablecloths

Stage: 4 Challenge Level:

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Stage: 4 Challenge Level:

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Impossible Square?

Stage: 5 Challenge Level:

Can you make a square from these triangles?

Arithmagons

Stage: 4 Challenge Level:

Can you find the values at the vertices when you know the values on the edges?

What's it Worth?

Stage: 3 and 4 Challenge Level:

There are lots of different methods to find out what the shapes are worth - how many can you find?

Polynomial Interpolation

Stage: 5 Challenge Level:

Can you fit polynomials through these points?

Prime Sequences

Stage: 5 Challenge Level:

This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?

Take Three from Five

Stage: 4 Challenge Level:

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?

What's Possible?

Stage: 4 Challenge Level:

Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

Stats Statements

Stage: 5 Challenge Level:

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Integration Matcher

Stage: 5 Challenge Level:

Match the charts of these functions to the charts of their integrals.