Can you make 15, 16 and 17 too? Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. Is problem solving at the heart of your curriculum? How many different triangles can you make on a circular pegboard that has nine pegs? What kind of number do you get? Try with other numbers of cubes as well. Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.

Three Dice Age 7 to 11 Challenge Level: What could the half time scores have been in these Olympic hockey matches? Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’. Use the cards to gather all the information you need. Multiply Multiples 1 Age 7 to 11 Challenge Level:

Can you see how these factor-multiple chains work?

What was the total and how could this be done? What happens when you enter different numbers?

Consecutive Numbers Age 7 to 14 Challenge Level: How about if I had five probblem Make 37 Age 7 to 14 Challenge Level: Have a go at this well-known challenge.

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. Solvig 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?

Play to 37 Age 7 to 11 Challenge Level: How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover ks Can you replace the letters with numbers?

## Addition and Subtraction KS2

Can you sort out the clues and find the number? On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? You could explore this idea with other shapes too.

Four Go Age 7 to 11 Challenge Level: Choose four different digits from nrixh put one in each box so that the resulting four two-digit numbers add to a total of How could you arrange at least two dice in a stack so that the total of the visible spots is 18? Can you find some more abundant numbers? You could investigate your own starting shape. Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

# Problem-solving Skills :

What numbers could be inside the envelopes? Can you prove it? These sixteen children are standing in four lines of four, one behind the other. Factor track is not a race but a game of skill. This big box multiplies anything that goes inside it by the same number.

What questions would you like to ask?

Can you find different ways of doing it? Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at probem game.

Make 37 Age 7 to 14 Challenge Level: Nim-7 Age 5 to 14 Challenge Level: Can you complete this jigsaw of the multiplication square? All the Digits Age 7 to problwm Challenge Level: Look at different ways of dividing things.

What is the largest ‘ribbon square’ you can make?