Factor track is not a race but a game of skill. The idea is to go
round the track in as few moves as possible, keeping to the rules.
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Can you find a path from a number at the top of this network to the
bottom which goes through each number from 1 to 9 once and once
There were 22 legs creeping across the web. How many flies? How many spiders?
Rocco ran in a 200 m race for his class. Use the information to
find out how many runners there were in the race and what Rocco's
finishing position was.
Work out Tom's number from the answers he gives his friend. He will
only answer 'yes' or 'no'.
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?
Place the digits 1 to 9 into the circles so that each side of the
triangle adds to the same total.
Fill in the numbers to make the sum of each row, column and
diagonal equal to 34. For an extra challenge try the huge American
Flag magic square.
Use the information to work out how many gifts there are in each
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
There are three buckets each of which holds a maximum of 5 litres.
Use the clues to work out how much liquid there is in each bucket.
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
On the table there is a pile of oranges and lemons that weighs
exactly one kilogram. Using the information, can you work out how
many lemons there are?
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
Find at least one way to put in some operation signs (+ - x ÷)
to make these digits come to 100.
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
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.
As you come down the ladders of the Tall Tower you collect useful
spells. Which way should you go to collect the most spells?
Woof is a big dog. Yap is a little dog.
Emma has 16 dog biscuits to give to the two dogs.
She gave Woof 4 more biscuits than Yap.
How many biscuits did each dog get?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Is it possible to draw a 5-pointed star without taking your pencil
off the paper? Is it possible to draw a 6-pointed star in the same
way without taking your pen off?
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
On a farm there were some hens and sheep. Altogether there were 8
heads and 22 feet. How many hens were there?
56 406 is the product of two consecutive numbers. What are these
Peter, Melanie, Amil and Jack received a total of 38 chocolate
eggs. Use the information to work out how many eggs each person
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?
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?
Using the numbers 1, 2, 3, 4 and 5 once and only once, and the
operations x and ÷ once and only once, what is the smallest
whole number you can make?
All the girls would like a puzzle each for Christmas and all the
boys would like a book each. Solve the riddle to find out how many
puzzles and books Santa left.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Can you draw a continuous line through 16 numbers on this grid so
that the total of the numbers you pass through is as high as
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?
Can you see how these factor-multiple chains work? Find the chain
which contains the smallest possible numbers. How about the largest
Use these four dominoes to make a square that has the same number
of dots on each side.
There are 44 people coming to a dinner party. There are 15 square
tables that seat 4 people. Find a way to seat the 44 people using
all 15 tables, with no empty places.
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?
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
In 1871 a mathematician called Augustus De Morgan died. De Morgan
made a puzzling statement about his age. Can you discover which
year De Morgan was born in?
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
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?
Cassandra, David and Lachlan are brothers and sisters. They range
in age between 1 year and 14 years. Can you figure out their exact
ages from the clues?
Find another number that is one short of a square number and when
you double it and add 1, the result is also a square number.
Using only six straight cuts, find a way to make as many pieces of
pizza as possible. (The pieces can be different sizes and shapes).
In this problem you have to place four by four magic squares on the
faces of a cube so that along each edge of the cube the numbers
There are 78 prisoners in a square cell block of twelve cells. The
clever prison warder arranged them so there were 25 along each wall
of the prison block. How did he do it?
There are a number of coins on a table.
One quarter of the coins show heads.
If I turn over 2 coins, then one third show heads. How many coins are there altogether?
Can you arrange fifteen dominoes so that all the touching domino
pieces add to 6 and the ends join up? Can you make all the joins
add to 7?