What numbers could be inside the envelopes? Design an arrangement of display boards in the school hall which fits the requirements of different people. These eleven shapes each stand for a different number. Maze Age 7 to 11 Challenge Level: Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables. Dicey Addition Age 5 to 11 Challenge Level: Four Go Age 7 to 11 Challenge Level:

Fair Feast Age 5 to 11 Challenge Level: Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether! They are each holding a card with a number on it. How many different ways can you do it? This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. This multiplication uses each of the digits 0 – 9 once and once only. Choose a symbol to put into the number sentence.

In this article, Jennie suggests that we can support this process in three principal ways.

Place Value KS2

Use these four dominoes to make a square that has the same number of dots on each side. Can you find different ways of doing it?

Now try with a stick of 8 cubes and a stick of 6 cubes. Use the lines on this figure to show how the square can be divided into 2 nrixh, 3 thirds, 6 sixths and 9 ninths.

Watch the video to see how to fold a square of paper to create a flower.

Peoblem for our mailing list. A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

How do you know if your set of dominoes is complete? Can you work out some different ways to balance this equation? Magic Vs Age 7 to pronlem Challenge Level: Explore Alex’s number plumber.

Patterns and Sequences KS2. Ten cards are put into five envelopes so that there are two cards in each envelope.

k2s Can you find combinations of strips of paper which equal the length of the black strip? Doughnut Percents Age 7 to 14 Challenge Level: There are nasty versions of this dice game but we’ll start with the nice ones A task which depends on members of the group noticing the needs of others and responding.

Problem-solving Skills

What Do You Need? An activity based on the game ‘Pelmanism’. Reasoning and Convincing at KS2. Sealed Solution Age 7 to 11 Challenge Level: Have a go at this challenging task! Play to 37 Age 7 to 11 Challenge Level: How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down? There are prohlem of different methods proble, find out what the shapes are worth – how many can you find?

Tea Cups Age 7 to 14 Challenge Level: She prkblem the clown six coins to pay for it. Age 11 to 16 Challenge Level: This article, written for primary teachers, discusses what we mean by ‘problem-solving skills’ and draws attention to NRICH tasks which can help develop specific skills.

This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on? Can you problm in this table square? Four bags contain a large number of 1s, 3s, 5s and 7s.

What happens when you round these numbers to the nearest whole number? Can you discover its value in each problem? Andy’s Marbles Age 7 to 11 Challenge Level: