Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
During the third hour after midnight the hands on a clock point in
the same direction (so one hand is over the top of the other). At
what time, to the nearest second, does this happen?
Here is a chance to play a version of the classic Countdown Game.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
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?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
There are nasty versions of this dice game but we'll start with the nice ones...
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Choose a symbol to put into the number sentence.
Investigate the different distances of these car journeys and find
out how long they take.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Use the number weights to find different ways of balancing the equaliser.
A lady has a steel rod and a wooden pole and she knows the length
of each. How can she measure out an 8 unit piece of pole?
This is an adding game for two players.
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?
Can you hang weights in the right place to make the equaliser
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?
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?
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?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
A game for 2 or more players with a pack of cards. Practise your
skills of addition, subtraction, multiplication and division to hit
the target score.
A game for 2 players. Practises subtraction or other maths
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
Imagine a pyramid which is built in square layers of small cubes.
If we number the cubes from the top, starting with 1, can you
picture which cubes are directly below this first cube?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
If you hang two weights on one side of this balance, in how many
different ways can you hang three weights on the other side for it
to be balanced?
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!
There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2
litres. Find a way to pour 9 litres of drink from one jug to
another until you are left with exactly 3 litres in three of the
In this game for two players, the aim is to make a row of four coins which total one dollar.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
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?
Suppose there is a train with 24 carriages which are going to be
put together to make up some new trains. Can you find all the ways
that this can be done?
An environment which simulates working with Cuisenaire rods.
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.
You have two egg timers. One takes 4 minutes exactly to empty and
the other takes 7 minutes. What times in whole minutes can you
measure and how?
This challenge extends the Plants investigation so now four or more children are involved.
A group of children are using measuring cylinders but they lose the
labels. Can you help relabel them?
Find your way through the grid starting at 2 and following these
operations. What number do you end on?