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 cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
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?
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
A package contains a set of resources designed to develop
students’ mathematical thinking. This package places a
particular emphasis on “being systematic” and is
designed to meet. . . .
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?
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Move from the START to the FINISH by moving across or down to the
next square. Can you find a route to make these totals?
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
How many solutions can you find to this sum? Each of the different letters stands for a different number.
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
How many ways can you find to do up all four buttons on my coat?
How about if I had five buttons? Six ...?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you order the digits from 1-6 to make a number which is
divisible by 6 so when the last digit is removed it becomes a
5-figure number divisible by 5, and so on?
Follow the clues to find the mystery number.
Can you find which shapes you need to put into the grid to make the
totals at the end of each row and the bottom of each column?
Can you find the chosen number from the grid using the clues?
Find out what a "fault-free" rectangle is and try to make some of
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
Try this matching game which will help you recognise different ways of saying the same time interval.
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Place the numbers 1 to 8 in the circles so that no consecutive
numbers are joined by a line.
In this matching game, you have to decide how long different events take.
In this maze of hexagons, you start in the centre at 0. The next
hexagon must be a multiple of 2 and the next a multiple of 5. What
are the possible paths you could take?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
This challenge is about finding the difference between numbers which have the same tens digit.
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?
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
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?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Only one side of a two-slice toaster is working. What is the
quickest way to toast both sides of three slices of bread?
Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
A game for 2 people. Take turns placing a counter on the star. You
win when you have completed a line of 3 in your colour.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
A magician took a suit of thirteen cards and held them in his hand
face down. Every card he revealed had the same value as the one he
had just finished spelling. How did this work?
Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
Zumf makes spectacles for the residents of the planet Zargon, who
have either 3 eyes or 4 eyes. How many lenses will Zumf need to
make all the different orders for 9 families?
I was in my car when I noticed a line of four cars on the lane next
to me with number plates starting and ending with J, K, L and M.
What order were they in?
Arrange eight of the numbers between 1 and 9 in the Polo Square
below so that each side adds to the same total.