Number and Place Value

problem

Magic Vs

Age

7 to 11

Challenge level

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

problem

Roman Numerals

Age

7 to 11

Challenge level

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

problem

Four-digit targets

Age

7 to 11

Challenge level

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

problem

Representing Numbers

Age

7 to 11

Challenge level

Find as many different ways of representing this number of dots as you can.

problem

Coded hundred square

Age

7 to 11

Challenge level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

problem

Satisfying Four Statements

Age

7 to 11

Challenge level

Can you find any two-digit numbers that satisfy all of these statements?

problem

Nice or Nasty

Age

7 to 14

Challenge level

There are nasty versions of this dice game but we'll start with the nice ones...

problem

Number match

Age

5 to 11

Challenge level

A task which depends on members of the group noticing the needs of others and responding.

problem

Less is More

Age

7 to 11

Challenge level

Use your knowledge of place value to try to win this game. How will you maximise your score?

problem

Planning a School Trip

Age

7 to 11

Challenge level

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

problem

Take three numbers

Age

7 to 11

Challenge level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

problem

Which Scripts?

Age

7 to 11

Challenge level

There are six numbers written in five different scripts. Can you sort out which is which?

problem

The Deca Tree

Age

7 to 11

Challenge level

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

problem

Round the Four Dice

Age

7 to 11

Challenge level

This activity involves rounding four-digit numbers to the nearest thousand.

problem

A Mixed-up Clock

Age

7 to 11

Challenge level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

problem

Round the Three Dice

Age

7 to 11

Challenge level

What happens when you round these three-digit numbers to the nearest 100?

problem

Number Differences

Age

7 to 11

Challenge level

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

problem

Reasoned Rounding

Age

7 to 14

Challenge level

Four strategy dice games to consolidate pupils' understanding of rounding.

problem

Swimming Pool

Age

5 to 11

Challenge level

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

problem

Count Me In

Age

7 to 11

Challenge level

How do you know whether you will reach these numbers when you count in steps of six from zero?

problem

First Connect Three

Age

7 to 11

Challenge level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

problem

Tug Harder!

Age

7 to 11

Challenge level

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?