List

Digit cards

Shut the box
problem

Shut the box

Age
5 to 7
Challenge level
filled star empty star empty star

An old game with lots of arithmetic!

Two-digit targets
problem

Two-digit targets

Age
5 to 7
Challenge level
filled star empty star empty star

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Shut the Box for Two
game

Shut the box for two

Age
5 to 7
Challenge level
filled star empty star empty star
Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
6 Beads
problem

6 beads

Age
5 to 7
Challenge level
filled star filled star empty star

If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

2, 4, 6, 8
problem

2, 4, 6, 8

Age
5 to 7
Challenge level
filled star filled star filled star

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

The Thousands Game
problem

The thousands game

Age
7 to 11
Challenge level
filled star empty star empty star

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Magic Vs
problem

Magic Vs

Age
7 to 11
Challenge level
filled star empty star empty star

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

Four-digit targets
problem

Four-digit targets

Age
7 to 11
Challenge level
filled star empty star empty star

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

Fifteen cards

Age
7 to 11
Challenge level
filled star empty star empty star

Can you use the information to find out which cards I have used?

Magic Circles
problem

Magic circles

Age
7 to 11
Challenge level
filled star filled star empty star
Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the numbers on each circle add up to the same amount. Can you find the rule for giving another set of six numbers?
Twenty Divided into Six
problem

Twenty divided into six

Age
7 to 11
Challenge level
filled star filled star empty star

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

All the Digits
problem

All the digits

Age
7 to 11
Challenge level
filled star filled star empty star

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

problem

Reach 100

Age
7 to 11
Challenge level
filled star filled star empty star

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Sealed Solution
problem

Sealed solution

Age
7 to 14
Challenge level
filled star filled star empty star

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

Finding Fifteen
problem

Finding fifteen

Age
7 to 11
Challenge level
filled star filled star empty star

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

Penta Primes
problem

Penta primes

Age
7 to 11
Challenge level
filled star filled star filled star
Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?
Song Book
problem

Song book

Age
7 to 11
Challenge level
filled star filled star filled star
A school song book contains 700 songs. The numbers of the songs are displayed by combining special small single-digit cards. What is the minimum number of small cards that is needed?