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NRICH Resources
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Circles in Quadrilaterals
Explore when it is possible to construct a circle which just
touches all four sides of a quadrilateral.
https://nrich.maths.org/6536
Fri, 17 May 2024 12:31:26 +0100

Share Bears
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
https://nrich.maths.org/2358
Fri, 17 May 2024 11:58:13 +0100

Factormultiple Chains
Can you see how these factormultiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
https://nrich.maths.org/5578
Tue, 14 May 2024 11:41:22 +0100

Mystery Matrix
Can you fill in this table square? The numbers 2 12 were used to generate it with just one number used twice.
https://nrich.maths.org/1070
Tue, 14 May 2024 11:35:39 +0100

Three Dice
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
https://nrich.maths.org/6719
Tue, 14 May 2024 11:21:20 +0100

It's Times Again
Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!
https://nrich.maths.org/7950
Tue, 14 May 2024 11:10:04 +0100

What Could It Be?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
https://nrich.maths.org/10479
Tue, 14 May 2024 10:05:06 +0100

Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
https://nrich.maths.org/tiltedsquares
Fri, 10 May 2024 19:04:48 +0100

Cyclic Quadrilaterals
Draw some quadrilaterals on a 9point circle and work out the angles. Is there a theorem?
https://nrich.maths.org/cyclic
Fri, 10 May 2024 11:33:06 +0100

Add to 200
By selecting digits for an addition grid, what targets can you make?
https://nrich.maths.org/11110
Fri, 10 May 2024 09:24:14 +0100

Table Patterns Go Wild!
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
https://nrich.maths.org/6924
Wed, 08 May 2024 16:51:39 +0100

Digit Addition
Try out this number trick. What happens with different starting numbers? What do you notice?
https://nrich.maths.org/14312
Wed, 08 May 2024 16:01:46 +0100

Domino Sets
How do you know if your set of dominoes is complete?
https://nrich.maths.org/9965
Wed, 08 May 2024 15:32:13 +0100

Amy's Dominoes
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
https://nrich.maths.org/1044
Mon, 06 May 2024 21:08:27 +0100

Reach 100
Choose four different digits from 19 and put one in each box so that the resulting four twodigit numbers add to a total of 100.
https://nrich.maths.org/1130
Wed, 01 May 2024 12:10:29 +0100