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Mastering Mathematics: The Challenge of Generalising and Proof
This article for primary teachers discusses how we can help learners generalise and prove, using NRICH tasks as examples.
Reasoning, convincing and proving
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Purposeful Paper Folding
In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.
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Gabriel's Problem
Age
11 to 14
Challenge level
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
problem
Long List
Age
14 to 16
Challenge level
Weekly Problem 47 - 2017
How many numbers do I need in a list to have two squares, two primes and two cubes?
How many numbers do I need in a list to have two squares, two primes and two cubes?
problem
Shared Vertex
Age
11 to 14
Challenge level
Weekly Problem 38 - 2017
In the diagram, what is the value of $x$?
In the diagram, what is the value of $x$?
problem
Leaning Over
Age
11 to 14
Challenge level
Weekly Problem 31 - 2017
The triangle HIJ has the same area as the square FGHI. What is the distance from J to the line extended through F and G?
The triangle HIJ has the same area as the square FGHI. What is the distance from J to the line extended through F and G?
problem
What's on the Back?
Age
11 to 14
Challenge level
Four cards have a number on one side and a phrase on the back. On each card, the number does not have the property described on the back. What do the four cards have on them?
problem
Ones, Twos and Threes
Age
11 to 14
Challenge level
Each digit of a positive integer is 1, 2 or 3, and each of these occurs at least twice. What is the smallest such integer that is not divisible by 2 or 3?
problem
Bookshop
Age
11 to 14
Challenge level
If Clara spends £23 on books and magazines, how many of each does she buy?
problem
Peter's Primes
Age
14 to 16
Challenge level
Peter wrote a list of all the numbers that can be formed by changing one digit of the number 200. How many of Peter's numbers are prime?