Numeracy problems to solve for Key Stage 1, 2 and 3
Key
Stage 1 Solve it...!
Some puzzles for you to solve!

Which are the numbers
you can make be throwing 2 dice (1 to 6) and adding to the numbers you
get?
Try the same activity with 2 different dice.
You can use the dice on the Interactive Lighthouse.
Click here for them
Start at 1
and keep doubling. Will you ever reach 400?
How many ears
would 50 children have?
How many toes
would 100 children have?



a
= 1, b = 2, c = 3, d = 4 and so on.
'dab' is worth 4 and 1 and 2, which
is 7
How much is your name worth?
Whose name in your family is worth the most?
Whose name in your family is worth the least? 
Answers:
The number you can make throwing 2 dice (1 to 6) would be 2,3,4,5,6,7,8,9,10,11,12
If you started at 1 and kept doubling, you wouldn't reach 400
50 children would have 100 ears
100 children would have 1000 toes.
Key
Stage 2 Solve it...! The
Price of TV 
Your parents
would like you to watch less television so they have struck a deal with
you. They give you £10 at the beginning of the week. They allow
you to watch one hour of television every day for free. For every half
hour you watch past that you must pay half of your remaining money.
When you have spent all of the £10 you must turn off the television
for the rest of the week.
Task
How many hours of television can you watch in a week? This table may
help:
Starting
amount 
Extra (hrs.)
TV watched 
Money left 
£10 
½
1
1½
2
2½ 

An extra task
Think of how much television you watch. Would you have any money left?
What would you spend it on.
Answer:
Did you realise you can watch as much as you like because by continually
halving the amount of money spent, you never actually reach 0! Don't
tell your parents!!
Key
Stage 3 Solve it...! Eight's
a Crowd! 
Sam is preparing
a fourcourse meal for a party of eight people. Read the menu on the
right and the information below, which will help her plan and cost the
meal.
Sam's
Bistro Special Menu
¼ Melon
Dover sole in butter
lamb cutlets, new potatoes,
carrots and green beans
Fresh fruit salad

Big Ginger's
Fruit Stall
Melons! only 99p each!
oranges, fresh and juicy! 28p each
Dessert apples £1.85 per kg.( average 3 per kg)
Bananas £1.45 per kg ( average 4 per kg)
New season strawberries! £1.65 per kg
Seedless grapes! The Best! £2.30 per kg
Lemons 32p each
Cornwall
Trawlers
Cod £4.79 per kg
Haddock £4.21 per kg
Sole £6.26 per kg
Halibut £7.56 per kg
(allow 200g per person) 
Home
Farm Shop
New pots £1.01 per kg
Broccoli £1.85 per kg
Carrots 84p per kg
Asparagus £5.57 per kg
Green beans £3.77 per kg
(allow 150g per veg per person) 
Sam, the butcher
rang. He's got lamb cutlets at £1.18 a go. Reckons you'll need
two per person.
Recipes
Aunt Mildred's oldfashioned Fruit Salad
(Serves 6)
2 dessert apples
3 oranges
100g seedless grapes
250g strawberries
2 bananas
Juice of half a lemon
Task
How much will the melon starter cost for the whole party?
How much will the separate fish and meat courses cost?
How much will the fruit salad cost?
Now that Sam has
worked out what each course will cost to buy, she can calculate the
total cost of the meal for eight.
a) What will the total be?
b) What will each of the courses cost pr person?
An extra task
The cost of running the restaurant and paying staff, as well as the
cost of the food, needs to be covered by the prices actually charged,
with a profit on top of that.
a) How much would
YOU charge for each item on the menu?
b) What would the full meal cost each person in the group at your prices?
Answer:
Melon 2 x 0.99p = £1.98
Fish £1.26 per person
£10.08 for eight people
Lamb, potatoes,
carrots , beans £3.07 per person
£24.56 for eight people
total cost =
£1.98 + £10.08 + £24.56 + £4.83 = £41.45
Cost per person
as above. In addition melon would cost 25p per person.
Sam will need
to round UP to make a profit
