### NRICH PROBLEM SOLVING KS2

Use 4 four times with simple operations so that you get the answer A magician took a suit of thirteen cards and held them in his hand face down. Can you predict when you’ll be clapping and when you’ll be clicking if you start this rhythm? This feature draws together tasks which give learners opportunities to reason for different purposes. These lower primary tasks could all be tackled using a trial and improvement approach. How do the images help to explain this?

Look at what happens when you take a number, square it and subtract your answer. Keep adding as few pebbles as necessary to double the area. Age 7 to 11 Working Backwards at KS2 The upper primary tasks in this collection could each be solved by working backwards. How could he have put them into three piles so that the total in each pile was 15? In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. How did this work? Can you draw a square in which the perimeter is numerically equal to the area?

## Addition and Subtraction KS2

Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of How many cubes of each colour have we used? Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. Which pairs do not let this happen?

Remainders Age 7 to 14 Challenge Level: Domino Square Age 7 to 11 Challenge Level: What do you notice? Torn Shapes Solvinf 7 to 11 Challenge Level: These eleven shapes each stand for a different number. Use the cards to gather all the information you need. Tasks for KS2 children which focus on working systematically. Add the two numbers on the red dice and take away the number on the green. What are the dimensions of the rectangle?

# Ratio and Proportion KS2 :

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. She has 24 dominoes in her box and there are spots on them altogether. Half Time Age 5 to 11 Challenge Level: Amy has a box containing domino pieces but she does not think it is a complete set.

Inky Cube Age 7 to 14 Challenge Level: In this article, Jennie suggests that we can support this process in three principal ways. You could try for different sk2 and different rules.

This feature draws together tasks which give learners opportunities to reason for different purposes. How many different squares can you make altogether? Can you fill in this table square?

## Patterns and Sequences KS2

You could investigate your own starting shape. These upper primary tasks all specifically draw on the use of visualising. Register for our mailing list. Prooblem upper primary tasks could all be tackled using a trial and improvement approach. Lots to find out, lots to explore.

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.

Now try with a stick of 8 cubes and a stick of 6 cubes.

Can you work out how they arrived at these prices? These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. Use these four dominoes to make a square that has the same number of dots on each side.

Multiply Multiples 2 Age 7 to 11 Challenge Level: Can you xolving 15, 16 and 17 too?