Complete these two jigsaws then put one on top of the other. What
happens when you add the 'touching' numbers? What happens when you
change the position of the jigsaws?
This number has 903 digits. What is the sum of all 903 digits?
Use these four dominoes to make a square that has the same number
of dots on each side.
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?
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?
Claire thinks she has the most sports cards in her album. "I have
12 pages with 2 cards on each page", says Claire. Ross counts his
cards. "No! I have 3 cards on each of my pages and there are. . . .
Can you design a new shape for the twenty-eight squares and arrange
the numbers in a logical way? What patterns do you notice?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Can you find 2 butterflies to go on each flower so that the numbers
on each pair of butterflies adds to the same number as the one on
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
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?
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?
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
Fill in the numbers to make the sum of each row, column and
diagonal equal to 15.
Investigate what happens when you add house numbers along a street
in different ways.
There were 22 legs creeping across the web. How many flies? How many spiders?
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Find out what a Deca Tree is and then work out how many leaves
there will be after the woodcutter has cut off a trunk, a branch, a
twig and a leaf.
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
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?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
Arrange three 1s, three 2s and three 3s in this square so that
every row, column and diagonal adds to the same total.
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
Use your logical reasoning to work out how many cows and how many
sheep there are in each field.
Annie cut this numbered cake into 3 pieces with 3 cuts so that the
numbers on each piece added to the same total. Where were the cuts
and what fraction of the whole cake was each piece?
Mr. Sunshine tells the children they will have 2 hours of homework.
After several calculations, Harry says he hasn't got time to do
this homework. Can you see where his reasoning is wrong?
Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?
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
48 is called an abundant number because it is less than the sum of
its factors (without itself). Can you find some more abundant
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.
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.
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?
Leah and Tom each have a number line. Can you work out where their counters will land? What are the secret jumps they make with their counters?
Find the next number in this pattern: 3, 7, 19, 55 ...
This is an adding game for two players.
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
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
Find at least one way to put in some operation signs (+ - x ÷)
to make these digits come to 100.
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
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?
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?
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?
The value of the circle changes in each of the following problems.
Can you discover its value in each problem?
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?
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.
Vera is shopping at a market with these coins in her purse. Which
things could she give exactly the right amount for?
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?