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?
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?
Investigate the different distances of these car journeys and find
out how long they take.
If you have only four weights, where could you place them in order
to balance this equaliser?
An old game but lots of arithmetic!
Have a go at this game which involves throwing two dice and adding
their totals. Where should you place your counters to be more
likely to win?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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?
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?
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?
Here is a chance to play a version of the classic Countdown Game.
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?
This is an adding game for two players.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Where can you draw a line on a clock face so that the numbers on
both sides have the same total?
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?
A game for 2 people using a pack of cards Turn over 2 cards and try
to make an odd number or a multiple of 3.
There are nasty versions of this dice game but we'll start with the nice ones...
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
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
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Can you hang weights in the right place to make the equaliser
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
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?
Use the number weights to find different ways of balancing the equaliser.
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.
In this game for two players, the aim is to make a row of four coins which total one dollar.
Which times on a digital clock have a line of symmetry? Which look
the same upside-down? You might like to try this investigation and
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!
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Choose a symbol to put into the number sentence.
Mrs Morgan, the class's teacher, pinned numbers onto the backs of
three children. Use the information to find out what the three
The Scot, John Napier, invented these strips about 400 years ago to
help calculate multiplication and division. Can you work out how to
use Napier's bones to find the answer to these multiplications?
I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?
Vera is shopping at a market with these coins in her purse. Which
things could she give exactly the right amount for?
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?
Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?