Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Weekly Problem 13 - 2013

2002 started on a Tuesday. In which years between now and 2015 will each date fall on the same day of the week as it fell that year?

NQT Inspiration Day: Nurturing Creative Problem Solvers - Summer 2015 event in Cambridge. Key Stage 2 resources used on the day.

We have been exploring what mastering mathematics in the context of problem solving means to us at NRICH.

This brief article, written for upper primary students and their teachers, explains what the Young Mathematicians' Award is and links to all the related resources on NRICH.

This advent calendar contains twenty-four tasks for the run-up to Christmas, each one encouraging mathematical creativity.

NQT Inspiration Day: Nurturing Creative Problem Solvers - Summer 2015 event in Cambridge

If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?

An outline of 'Everyday Maths', a project run by Bristol University, working with parents of Year 3/4 children.

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

These clocks have been reflected in a mirror. What times do they say?

Find at least one way to put in some operation signs (+ - x ÷) to make these digits come to 100.

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

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.

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

Anyone should be able to make a start on any of these resources. They are our favourites because they really get you thinking mathematically.

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Dotty Six is a simple dice game that you can adapt in many ways.

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

This problem explores the shapes and symmetries in some national flags.

Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

What happens when you round these numbers to the nearest whole number?

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Can you replace the letters with numbers? Is there only one solution in each case?

Can you draw a square in which the perimeter is numerically equal to the area?

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.