Route Product – KS2
There are lots of different routes from
A to B in this diagram:
The idea is to work out the product of the numbers on these different
routes from
A to B. Let's say that in a route you are not allowed to visit
a point more than once.
For example, we could have
3×0.5 but we couldn't
have 3×2×5×4×1×0.1because that route passes through
Which route or routes give the largest product?
Which route or routes give the smallest product?
A twice.
All the digits – KS2
This represents the multiplication of a
4-figure number by 3.
The whole calculation uses each of the digits
0−9 once and once only.
The 4-figure number contains three consecutive numbers, which are not
in order. The third digit is the sum of two of the consecutive numbers.
The first, third and fifth figures of the five-digit product are three
consecutive numbers, again not in order. The second and fourth digits are
also consecutive numbers.
Can you replace the stars in the calculation with figures?
The Puzzling Sweet Shop – KS1
Rosie went into the sweet shop with
There were chews for
lollypops for
7p.
10p to spend.
2p, mini eggs for 3p, Chocko bars for 5p and
What could she buy if she wanted to spend all her money?
Alice, James, Katie and Henry went into the shop too. They each had
to spend and they all spent all of their money.
20p
Alice bought at least one of each kind of sweet. Which one did she have
two of?
James spent his money on just one kind of sweet, but he does not like
chews. Which sweets did he buy?
Katie bought the same number of sweets as James but she
had 3 different kinds. Which sweets did she buy?
Henry chose
8 sweets. What could he have bought?
Magic plant – KS1
Double or halve – KS1
How to play:
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Decide on a target number. This is the total that both players are
trying to make.
Player 1 throws the dice. S/he can choose whether to double the
number shown or halve the number shown.
Player 2 throws the dice. In the same way, s/he can choose
whether to double the number shown or halve the number
shown. Player 2 adds his/her number onto Player 1's number to
make a running total.
Play continues like this with each player rolling the dice, halving or
doubling the number and adding the result onto the running total.
The winner is the player who reaches the agreed target exactly.
Four Go for Two – KS2
How do you play?
Player 1 chooses two numbers in this grid and either multiplies or
divides them.
They then mark the answer to the calculation on the number line.
Player 2 then choose two numbers and either × or ÷ , and mark that
number in a different colour on the number line.
If the answer is too big or too small to be marked on the number line,
the player misses a go. The winner is the person to get four marks in a
row with none of their opponent's marks in between.
Curious Number – KS2
Can you order the digits 1, 2 and 3 to make a number which is divisible by
3?
And when the final digit is removed again it becomes a two-digit number
divisible by 2,
then finally a one-digit number divisible by 1?
Can you order the digits 1, 2, 3 and 4 to make a number which is divisible
by 4?
And when the final digit is removed it becomes a three-digit number
which is divisible by 3.
And when the final digit is removed again it becomes a two-digit number
divisible by 2,
then finally a one-digit number divisible by 1?
Multiplication- Arrays – KS1
How many different arrays can you make for 12?
24?…36?…40?
How do you know you have found them all?
Factors and multiples game – KS2
This is a game for two players.
The first player chooses a positive even number that is less than
crosses it out on the grid.
50, and
The second player chooses a number to cross out. The number must be a factor
or multiple of the first number.
Players continue to take it in turns to cross out numbers, at each stage choosing
a number that is a factor or multiple of the number just crossed out by the
other player.
The first person who is unable to cross out a number loses.