### NRICH PROBLEM SOLVING KS2

Try with other numbers of cubes as well. My number is both a multiple of 5 and a multiple of 6. This problem is designed to help children to learn, and to use, the two and three times tables. Dicey Addition Age 5 to 11 Challenge Level: Four Go Age 7 to 11 Challenge Level: Can you see any patterns? An investigation involving adding and subtracting sets of consecutive numbers.

However, she always made 80 pies at a time. Multiplication Squares Age 7 to 11 Challenge Level: A magician took a suit of thirteen cards and held them in his hand face down. Can you put the numbers in the V shape so that both ‘arms’ have the same total? Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. What could the half time scores have been in these Olympic hockey matches? What is the largest ‘ribbon square’ you can make?

## Ratio and Proportion KS2

The upper primary tasks in this collection could each be solved by working backwards. Tasks for KS1 children which focus on working systematically. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Division Rules Age 7 to 11 Challenge Level: How about when a friend begins a new rhythm at the same time?

# Patterns and Sequences KS2 :

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. How many different squares can you make altogether?

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? This feature draws together tasks nrrich give learners opportunities to reason for different purposes. How about if I had five buttons? Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game. Is there only one solution in each case? How many cubes of each colour have we used?

Four Go Age 7 to 11 Challenge Level: In this activity, the computer chooses a times table and shifts it. Ten cards are put into five envelopes so that there are two cards in each envelope.

# Multiplication and Division KS2 :

The great planetary explorer Nico counted 52 legs. Can you prove it? The large rectangle is divided into a series of smaller quadrilaterals and solvlng.

Given a target number, say 23, and a range of numbers to choose from, sayplayers take it in turns to add to the running total to hit their target. There is a clock-face where the numbers have become all mixed up.

How many different ways can you do it? Are these statements always true, sometimes probllem or never true? Use the information to find out what the three numbers were. Is problem solving at the heart of your curriculum?

Which pairs do not let this happen? Sweets are given out to party-goers in a particular way.

Place four pebbles on the sand in the form of a square. Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. Can you put the numbers 1 to 8 into the circles so prohlem the four calculations are correct? Use the ‘double-3 down’ dominoes to make a square so that each side has eight dots.

This dice train has been made using specific rules. Four Go Age 7 to 11 Challenge Level: Lolla bought a balloon at the circus. Age 5 to 11 Challenge Level: Look at three ‘next door neighbours’ amongst the counting numbers. The Zios have 3 legs and the Zepts have sokving legs.