Other tags that relate to Dicey Directions
Working systematically. Selecting and using information. Mathematical reasoning & proof. Generalising. GeoGebra. Visualising. Interactivities. Games. Addition & subtraction. Cubes & cuboids.There are 133 results
Broad Topics > Thinking Mathematically > Working systematically
One Out One Under
Age 14 to 16
Challenge Level
Imagine a stack of numbered cards with one on top. Discard the top, put the next card to the bottom and repeat continuously. Can you predict the last card?
Colour in the Square
Age 7 to 16
Challenge Level
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Triangles to Tetrahedra
Age 11 to 14
Challenge Level
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Window Frames
Age 5 to 14
Challenge Level
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
Tetrahedra Tester
Age 11 to 14
Challenge Level
An irregular tetrahedron is composed of four different triangles. Can such a tetrahedron be constructed where the side lengths are 4, 5, 6, 7, 8 and 9 units of length?
Maths Trails
Age 7 to 14
The NRICH team are always looking for new ways to engage teachers and pupils in problem solving. Here we explain the thinking behind maths trails.
Games Related to Nim
Age 5 to 16
This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.
LOGO Challenge - Triangles-squares-stars
Age 11 to 16
Challenge Level
Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.
Olympic Magic
Age 14 to 16
Challenge Level
in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?
Magic W
Age 14 to 16
Challenge Level
Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.
Seasonal Twin Sudokus
Age 11 to 16
Challenge Level
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
Addition Equation Sudoku
Age 11 to 14
Challenge Level
You need to find the values of the stars before you can apply normal Sudoku rules.
Advent Sudoku
Age 11 to 14
Challenge Level
Rather than using the numbers 1-9, this sudoku uses the nine different letters used to make the words "Advent Calendar".
Diagonal Product Sudoku
Age 11 to 16
Challenge Level
Given the products of diagonally opposite cells - can you complete this Sudoku?
Integrated Product Sudoku
Age 11 to 16
Challenge Level
This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.
Extra Challenges from Madras
Age 11 to 14
Challenge Level
A few extra challenges set by some young NRICH members.
Cuboids
Age 11 to 14
Challenge Level
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Tea Cups
Age 7 to 14
Challenge Level
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
Integrated Sums Sudoku
Age 11 to 16
Challenge Level
The puzzle can be solved with the help of small clue-numbers which are either placed on the border lines between selected pairs of neighbouring squares of the grid or placed after slash marks on. . . .
Latin Lilies
Age 7 to 16
Challenge Level
Have a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?
Shady Symmetry
Age 11 to 14
Challenge Level
How many different symmetrical shapes can you make by shading triangles or squares?
Sticky Numbers
Age 11 to 14
Challenge Level
Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Rainstorm Sudoku
Age 14 to 16
Challenge Level
Use the clues about the shaded areas to help solve this sudoku
Rectangle Outline Sudoku
Age 11 to 16
Challenge Level
Each of the main diagonals of this sudoku must contain the numbers 1 to 9 and each rectangle width the numbers 1 to 4.
Twin Corresponding Sudoku III
Age 11 to 16
Challenge Level
Two sudokus in one. Challenge yourself to make the necessary connections.
Another Quadruple Clue Sudoku
Age 11 to 16
Challenge Level
This is a variation of sudoku which contains a set of special clue-numbers. Each set of 4 small digits stands for the numbers in the four cells of the grid adjacent to this set.
Isosceles Triangles
Age 11 to 14
Challenge Level
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Colour Islands Sudoku
Age 11 to 14
Challenge Level
An extra constraint means this Sudoku requires you to think in diagonals as well as horizontal and vertical lines and boxes of nine.
Quadruple Clue Sudoku
Age 11 to 16
Challenge Level
Four numbers on an intersection that need to be placed in the surrounding cells. That is all you need to know to solve this sudoku.
Pole Star Sudoku 2
Age 11 to 16
Challenge Level
This Sudoku, based on differences. Using the one clue number can you find the solution?
More on Mazes
Age 7 to 14
There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
Twin Corresponding Sudokus II
Age 11 to 16
Challenge Level
Two sudokus in one. Challenge yourself to make the necessary connections.
Spot the Card
Age 14 to 16
Challenge Level
It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?
Teddy Town
Age 5 to 14
Challenge Level
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Number Daisy
Age 11 to 14
Challenge Level
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Simultaneous Equations Sudoku
Age 11 to 16
Challenge Level
Solve the equations to identify the clue numbers in this Sudoku problem.
Number Sandwiches
Age 7 to 14
Challenge Level
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
9 Weights
Age 11 to 14
Challenge Level
You have been given nine weights, one of which is slightly heavier than the rest. Can you work out which weight is heavier in just two weighings of the balance?
Ones Only
Age 11 to 14
Challenge Level
Find the smallest whole number which, when mutiplied by 7, gives a product consisting entirely of ones.
First Connect Three
Age 7 to 14
Challenge Level
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Twinkle Twinkle
Age 7 to 14
Challenge Level
A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.
Diagonal Sums Sudoku
Age 7 to 16
Challenge Level
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
NRICH is part of the family of activities in the Millennium Mathematics Project.