Q
Megan’s computer game shows:
Games played: 177
Games won: 32
Percentage won: 18%
Megan loses the next game.
Games played: 178
Games won: 32
Percentage won: 18%
Explain why the percentage won still shows 18%.
1m
If Megan continues to lose each game, when will the computer first show 17%?
Games played: ?
Games won: 32
Percentage won:
17%
Show calculations to explain your answer.
3m
Computer rounding
Activity 1 – Computer rounding – Questions
Q
In my story, the pavements of
London are made of solid gold.
How many solid gold paving stones could you buy with
one hundred million pounds?
Assume:
●●
●●
●●
a paving stone is 90cm long, 60cm wide and 5cm deep
1cm3 of gold weighs 19.3 grams
gold costs £33 per gram.
paving stones
5m
Paved with gold
Activity 1 – Paved with gold – Question
Q
The picture shows a lock on a safe.
5
35
0
90° clockwise, then
15
25
To open the lock, turn the dial:
10
30
The black dial turns.
20
180° anticlockwise.
To open the lock, what number should be
at the top of the dial?
1m
The picture shows a lock on a safe.
5
35
0
25
15
90° clockwise, then
20
To open the lock, turn the dial:
10
30
The black dial turns.
180° anticlockwise.
To open the lock, what number should be
at the top of the dial?
1m
Safe lock
Activity 1 – Safe lock – Question
WB
?
Safe lock
Number of Number of
blue faces small cubes
3
0
2
12
1
6
0
9
Activity 3 – Painted blue – Whiteboard
Q
Books £10 each
Special offer:
Buy one get one half price
Use the special offer to work out the total cost of 12 books.
£
2m
Books £10 each
Special offer:
Buy one get one half price
Use the special offer to work out the total cost of 12 books.
£
2m
Special offer books
Activity 1 – Special offer books – Question
R
Holiday of a lifetime!
Wales k Egypt k Singapore k Australia k America k Wales
Decide how much money to take at the start of your holiday.
You think you will spend a quarter of your money in each country you visit, so you exchange
your British pounds for those currencies before you leave.
But . . . amazingly . . . you meet very rich people who pay for everything.
You have exchanged all your money for no reason, as you have not spent anything at all!
So when you return from holiday you exchange all your money back into £.
How much, in £, do you have left?
What percentage of the money you started with is this?
For each £1
For each £1
Bank sells
Bank buys
Egyptian pounds
10.08
12.67
Singapore dollars
1.99
2.30
Australian dollars
1.73
1.99
American dollars
1.58
1.80
Currency
Special offer books
Activity 2 – Round the world we go – Resource sheet
Q
This ‘Christmas tree’ is made from cubes that are all the same size.
They are arranged in seven layers
to form a solid square-based pyramid.
In each layer, the cubes around the perimeter
are green and the others are white, e.g.
layer four
Altogether, how many white cubes are there?
Show how you know.
white cubes
4m
Christmas tree
Activity 1 – Christmas tree – Question
R
Total = 4 + 4(n – 2)
n
n
Christmas tree
= 4 + 4n – 8
= 4n – 4
n
n
Activity 2 – Different ways – Resource sheet
Q
1
International Morse code:
each
each
–
takes 1 unit of time
takes 3 units of time
each ‘in-between’ takes 1 unit of time.
The code for J is
How many units of time does it take?
(Remember the in-between units!)
1m
Three letters have different codes.
Each of these codes takes 5 units of time.
What are the three codes?
2m
Communication
Activity 1 – Communication – Questions
Q
2
Every letter in the English alphabet has a different code.
Explain why each of these codes must have an odd number of units of time.
3m
Communication
Activity 1 – Communication – Questions
WB
Odd versus even
Odd
Even
Is it true that for any set of three consecutive numbers,
an odd total is more likely than an even total?
How can you be sure?
How much more likely is it?
Communication
Activity 2 – Odd versus even – Whiteboard
Q
My 13th birthday was on a Friday.
My 14th birthday was on a Saturday.
There are 365 days in a year (or 366 in a leap year).
How does that explain why your birthday is usually 1 day later each year?
2m
In a survey in a restaurant:
two-thirds of the people said the food was good, and
My 13th birthday was on a Friday.
one-quarter of people said it was average.
My 14th birthday was on a Saturday.
Five people said the food was poor.
Good
Average
Poor
There
are 365
days
in apart
yearin(or
366
in a leap year).
How many
people
took
the
survey?
How does that explain why your birthday is usually 1 day later each year?
people
2m
2m
In a survey in a restaurant:
Birthday
Activity 1 – Birthday – Question
two-thirds of the people said the food was good, and
Good
WB
‘One million seconds is just over 11 days. . .’
A national newspaper, 03.11.14
Birthday
Activity 2 – One million seconds – Whiteboard