Explore patterns where
one fifth (1/5) of the grid is patterned.

Task D

Polygon Puzzle

To play the game
you must print this out

Use 18 Counters

Can you place them on the
polygon mat

The number of counters in
each row must be even

The number of counters in
each column must also be even

Can you find more ways to
solve the puzzle?

Challenge your friends to
find more ways than you.

This
is just one way to solve the puzzle.

How
many more ways did you find?

Key
Stage 2 Solve it...!
Puzzles & more puzzles!

Task A

A few puzzles to
get you started

What
number am I? I am less than 10.
I am the only number that gives a bigger answer when you add me
to myself than when you multiply me by myself.

I am 1.

What
number am I? I am less than 10.
I give the same answer when added to myself as when multiplied
by myself.

I am 2.

What number
am I?
I am the only number
with the same number of letters in my name as myself.

I am Written four.

My numeral is 4.

What number
am I?
If you wrote the numbers
1 to 10 in words then put them in alphabetical order. I would
come first

I am 8.

What is triskaidekaphobia?
Triskaidekaphobia is a fear of the number
13.

Task B

Sort out the symbols!

In
this 4 x 4 array each symbol
stands for a different number. The sum of the symbols in three of
the rows and three of the columns is given. What are the two missing
totals? What are the values of each symbol? They may not be whole numbers.

The
missing totals are 26 and 30.

Task C

Change the equations

FIVE
PLUS SIX PLUS SEVEN = EIGHTEEN

Delete
seven letters from this question so that the equation remaining
is still correct.

The
letters deleted are FESSEEN

The
other 12 letters removed are IIXPLUSEIGHE

Stuck?
Want a clue?
Think Roman Numerals.

Good! Now remove twelve more
letters so that what remains still
gives a correct equation.

Task D

Sailing boat

This sailing boat is made
up of 12 coloured triangles.

Cut them out separately.

Then fit them all together
to make one large triangle

Task E

Formation Flying

The leader of the Red Arrows
display team was always looking for
new formations to show off the flying skills of his team at their public
displays all over the world. After one brain-storming session he came
up with a way to change from a pattern of two rows of five planes to
a pattern in which there were five lines each containing 4 planes. The
change of formations was achieved by only 4 planes changing their positions
relative to the other 6 planes who held formation. Which
planes changed position relative to the other and what was their new
formation?

Task F

Amazing Numbers

Mathematics really is amazing

The number 142857 is amazing.
Do the multiplications below, using a calculator, and you will discover
why?

142857 x 2

142857 x 3

142857 x
4

142857 x 5

142857 x 6

Why do you think this number
142857 is called a roundabout number?

What about the amazing number
7.
Do these multiplications again, using a calculator
What happens?

15873 x 7

31746 x 7

47619 x 7

63492 x 7

79365 x 7

95238 x 7

111 111 x 7

126 984 x 7

142 857 x 7

Key
Stage 3 Solve it...!
Feeding the Fledglings

A mother
bird has three fledglings to feed.

Each baby bird will
eat 20 grams of food per day.

The difficulty is the mother
bird can only carry 5 grams of food on each flight. However towards
the end of the day she grows tired and
only manages to carry half as much food for her last 4 trips.

Food is
plentiful for the first 3 trips of the day. She manages to find
enough food. Her return to nest distance id half a mile for these
three journeys. On her 4th flight however a flock of sea gulls have
eaten everything and she needs to travel an extra half a mile for
this and each subsequent trip to find enough food.

Questions

1. What is the total weight of food the mother birds
will need to fetch
her fledgling for the day?

2. How far does she travel on
a. the 5th flight?
b. the 8th flight?

3. How many flights must
she make in total during the day?

4. How far will she have
travelled during the course of 1 day?

An extra challenge

If the mother bird could
carry an extra 2 grams each journey how
many flights would it take to have enough food? Would there be any
food left over? How many miles shorter would her daily journey be? (Because
she is carrying more she gets tired after 7 fights.)