Four Go Age 7 to 11 Challenge Level: Can you work out the missing numbers? How many possible necklaces can you find? Cycling Squares Age 7 to 11 Challenge Level: Sweets in a Box Age 7 to 11 Challenge Level:

Brush Loads Age 7 to 11 Challenge Level: How many coins are there? Can you get four in a row? Add the two numbers on the red dice and take away the number on the green. Build it Up Age 7 to 11 Challenge Level:

What can you say about these shapes? We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Age 5 to 7 Visualising at KS1 These lower primary tasks all specifically draw on the use of visualising. Subtraction Surprise Age 7 to 14 Challenge Level: Tom and Ben visited Numberland.

## Multiplication and Division KS2

These upper primary tasks all specifically draw on the use of visualising. What could the half time scores have been in these Olympic hockey matches? Area and Perimeter KS2. A game for two people, or play nrcih. This dice train has been made using specific rules. Four of these clues are needed to find the chosen number on this grid proble, four are true but do nothing to help in finding the number.

# Patterns and Sequences KS2 :

problme Can you complete this jigsaw of the multiplication square? Fraction Fascination Age 7 to 11 Challenge Level: Age 7 to 11 Challenge Level: How did he do it?

Inky Cube Age 7 to 14 Challenge Level: Can you nrixh the letters with numbers? Can you sort out the clues and find the number? What happens if you join every second point on this circle?

What numbers could be inside the envelopes? Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. The idea of this game porblem to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three.

## Ratio and Proportion KS2

Ordering Cards Age 5 to 11 Challenge Level: However, she always made 80 pies at a time. To support this aim, members of the NRICH team work in a wide neich of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

How many different shaped boxes can you design for 36 sweets in one layer? In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or nricy.

Can you see how these factor-multiple chains work? All the Digits Age 7 to 11 Challenge Level: Buying a Balloon Age 7 to 11 Challenge Level: If you know the numbers that come out, what multiplication might be going on in the problfm

Think of a number, square it and subtract your starting number. Sealed Solution Age 7 to 11 Challenge Level: Roll two red dice and a green dice. Cut differently-sized square corners from a square piece of paper to make boxes without lids.

Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach.

Investigate the sum of the numbers on the top and bottom faces of a line of three dice.