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? Find the product of the numbers on the routes from A to B. What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? Given a target number, say 23, and a range of numbers to choose from, say , players take it in turns to add to the running total to hit their target. She gave the clown six coins to pay for it. Can you get four in a row?

This challenge combines addition, multiplication, perseverance and even proof. The discs for this game are kept in a flat square box with a square hole for each. Can you find combinations of strips of paper which equal the length of the black strip? This dice train has been made using specific rules. Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Using the information given, can you replace the stars in the calculation with figures?

# Problem Solving :

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. What do you notice? Tea Cups Age 7 to 14 Challenge Level: Dice in a Corner Age 7 to 11 Challenge Level: What could Lolla have paid for the balloon? If you know the numbers that come prkblem, what multiplication might be going on in the box?

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? What happens when you add the digits of a number then multiply the result by 2 and you keep doing this?

Holes Age 5 to 11 Challenge Level: Set your own level of challenge and beat your own previous best score. Factor track is not a race but a game of skill. Which pproblem quicker, counting up to 30 in ones or counting up to in tens?

Multiples Grid Age 7 to 11 Problfm Level: Age 5 to 7 Conjecturing and Generalising at KS1 The tasks in this ls2 encourage lower primary children to conjecture and generalise. The winner is the first to make the total Consecutive Numbers Age 7 to 14 Challenge Level: Sealed Solution Age 7 to 11 Challenge Level: Nine-pin Triangles Age 7 to 11 Challenge Level: Domino Square Age 7 to 11 Challenge Level: Choose two of the numbers to multiply or divide, then mark your answer on the number line.

What Do You Need?

What do you see? Fifteen Cards Age 7 to 11 Challenge Level: Maze Age 7 to 11 Challenge Level: Is there only one solution in each case?

Can you complete this jigsaw of the multiplication square? Think of a number, square it and subtract your starting number. Can you sort out proglem clues and find the number?

## Multiplication and Division KS2

Is there only one solution in each case? Finding Fifteen Age 7 to 11 Challenge Level: Can you find combinations of strips of paper which equal the length of the black strip? Arrange the four number nirch on the grid, according to the rules, to make a diagonal, vertical or horizontal line. Can you tell us what each of them will have?

These upper primary tasks could all be tackled using a trial and improvement approach. Buying a Balloon Age 7 to 11 Challenge Level: