Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten
numbers from the bags above so that their total is 37.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
For this challenge, you'll need to play Got It! Can you explain the
strategy for winning this game with any target?
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. Are there some numbers that are good to aim for?
This is an adding game for two players.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Here is a chance to play a version of the classic Countdown Game.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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?
Can you follow the rule to decode the messages?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
In a square in which the houses are evenly spaced, numbers 3 and 10
are opposite each other. What is the smallest and what is the
largest possible number of houses in the square?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
Find the sum of all three-digit numbers each of whose digits is
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
Can you hang weights in the right place to make the equaliser
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Using 3 rods of integer lengths, none longer than 10 units and not
using any rod more than once, you can measure all the lengths in
whole units from 1 to 10 units. How many ways can you do this?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Use the number weights to find different ways of balancing the equaliser.
In how many ways could Mrs Beeswax put ten coins into her three
puddings so that each pudding ended up with at least two coins?
Find at least one way to put in some operation signs (+ - x ÷)
to make these digits come to 100.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
Try adding together the dates of all the days in one week. Now
multiply the first date by 7 and add 21. Can you explain what
This challenge extends the Plants investigation so now four or more children are involved.
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
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?
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Two children made up a game as they walked along the garden paths.
Can you find out their scores? Can you find some paths of your own?
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
If each of these three shapes has a value, can you find the totals
of the combinations? Perhaps you can use the shapes to make the
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
This challenge is about finding the difference between numbers which have the same tens digit.
If you have only four weights, where could you place them in order
to balance this equaliser?
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.