Numeracy
problems to solve for Key Stage 1, 2 and 3

Key
Stage 1 Solve it...! It's Easter egg time!

Task A

Here are 6 Easter eggs.

They are blue,
purple, orange, red, yellow and green.
Can you find out and colour each egg in correctly.

Here are the rules!

The
is between the
and the
.

The
is on the left of the

The
is not next to the

Is there only
one way to colour the eggs?

Task
B

Put these 19
mini eggs into these 3 nests BUT each nest must have an odd number of
eggs in it!

How may different
ways can you do it?

You may want
to draw or make the nests and use real mini easter eggs!!

Key
Stage 2 Solve it...!
Calculator stories and puzzles

Did you know that your calculator
can make words? All you have to do is turn the calculator upside down
and certain digits look like letters.

The most common are:-

1
— I
3 — E
4 — h
5 — S
6 — g
7 — L
8 — B
0 — O

Task
A What
do they say?

Here are some
simple words for you to work out. Enter the number and turn the calculator
upside down to read the word.

38
7738
37818
77345
3045
38076

Now work out
the calculations to find more words

300
x 2 + 18
230 x 20 +14
8000 - 300 +35

An extra
Challenge

Can you invent
some calculations to give some other words?

Task
B The goose has a lucky escape

Do the calculations
in the story below. Turn you calculator upside down after each calculation
to find the words to complete the story.

1. 40 x 10 + 38 + 76

2. 33 x 33 x 33 - 931

3. 1000 000 ÷
200 +2735

4. 36 x 10 +154

5. 2 000
x 10 +15 000 +336

6. 500000 ÷ 10
÷ 5 -5000+663

7. 20 x
20 x 20 - 895

8. 304 x 5 x 2 + 5

9. 53 x
3 x 3 + 24 x 10+ 328

10. 65 x 12 -173

11. 5000
÷ 10 ÷ 5 -68 + 2

12. 44 x 100 + 1300
- 63

13. 25x2x2x2
+ 30 x 9-3285

14. 451 x 100 x 100
+ 7734

15. 23 x
20 x 5 x 2 + 70 - 56

16. 54 x 200 x 50 -
2000 + 76

17. 45 x
3 x 3 x 10 + 456

18. 28 x 2000 + 2000
- 262

19. 45 x
3 x 2 + 39 x 2

20. 77 + 7000 + 700
- 59

21. 33 x
33 x 2 + 3003

22. 352 500 + 28 052
- 1746

23. 13 x
100 + 34

24.40x20x9x7x3x3+130000-6255

25. 65 ÷
5 x 3000 - 3993

26. 45 x 2 - 19 x100
+5

27. 35 +
7000 + 456 +244

28. 5773 x 100 + 45

29. 23 +
10 x 33 x 3 + 109

30. 450 x 1000 + 45

31. 3788
x 100 + 4

32. 123 x 45 - 12 +
210

One day a farmer
was driving __________1__________2 to market to_________3.
It was the eldest of _________4 __________5 and could
no longer give ___________6. He stopped to remove some ___________7
from his __________8. Suddenly some __________9
came flying from a ___________10. 'Shoo!' _______11
shouted. He was stung on the hands and __________12. They passed
by the wheat ____________13. All of a sudden there was a ___________14
noise. ___________15 up in the sky he saw some shiny __________16
. '____________!17' he said to himself. They made a noise
like the clanging of thousands of __________18. One of the
mysterious objects landed and out stepped a ___________19 bird
with a __________20 like a duck and body like an ___________21.
it began to __________22 like a turkey. The goose understood
what it said. To the farmer's surprise his goose began to speak to him.
'Look under your left ____________23 and you will find some
magic _________24 in the __________25 ____________26.
Do not __________27 your goose. The old man of the forest will
be there. He will tell you what you must do.'

The farmer dug
in the soft ground and found the __________28. Filled with
____________29 he ran to the market. He saw the old man of
the forest and began to tell him what had happened. '____________!30
you must speak quietly,' said the old man. 'Throw the shells into the
pond,' he said. 'Now I must ___________31 off. Do everything
just as I have told you.' The farmer did as he was told. The water began
to churn and bubble. Two large __________32 slid up onto the
bank of the pond. In their mouths each had a beautiful jewel. They dropped
their jewels and vanished in the murky waters. The farmer never had
to worry about money again. he certainly did not sell his wonderful
goose.

Task
C Calculating puzzles

Amaze yourself
and your friends with these 3 puzzles.

Oh
heck!!

Take
any single digit number and multiply it by 3 then by 37.

Now
try all the digits from '1' to '9'.

Why
does this happen?

Age
Gap 1

Multiply
your age by 2, add 5 then multiply again by 50.

Now
add a friend's age, subtract 250 and then divide by 100.

Press
[=] and what do you see?

Does
this always work?

Try
it out on your friends, impress and amaze them.

Age
Gap 2

Multiply
your age by 6 and then by 1683.5.

What
do you see?

Try
this on a friend!

Key
Stage 3 Solve it...!
The concert

A band is planning a concert
at a major sports arena. They are working out the costs and likely profit.

Task A

If tickets are priced at
£15 each and all 18,000 are sold, what would be the total income
generated?

Task B

Look at the income and expenditure
lists in the picture. What is the total cost of staging the concert,
and how much profit will be made?

An extra challenge

At the last minute, there
are rumours of forged tickets being sold. To prevent trouble on the
day, the arena hires 50 extra security men at £225 each. Word
of this gets out and some fans decide to wait and see the band at a
smaller venue. 4,500 tickets are left unsold. Will a profit be made
now? Why/Why not?