1. Whilst travelling to Far Far Away, Shrek, Princess Fiona and Donkey argued
about how old they were. Shrek and Princess Fiona devised a puzzle to help
pass the time for Donkey, who was really getting on their nerves always asking
how long it would take.
Complete the puzzle to calculate the ages of Shrek, Princess Fiona, Pinocchio
and donkey and fill in the missing totals.
61
56
56
43
25
69
40
Fiona = 18 years old; Shrek = 23 years old;
Donkey = 10 years old; Pinocchio = 5 years old
82
51
2. In the film the Muffin Man made a giant
gingerbread man to save Princess Fiona from
Prince Charming. His recipe for gingerbread
men is shown below
The giant gingerbread man needed a recipe
equivalent to 300 normal gingerbread men.
How much of each ingredient is needed?
Give your answer in imperial units e.g. ounces
(oz) where appropriate, rather than in grams
(g).
Scale factor = 15
45 oz soft brown sugar, sieved (1125g)
30 tablespoons golden syrup
15 tablespoons black treacle
15 level teaspoons cinnamon
15 level teaspoons ginger
15 pinches ground cloves
Finely grated rind 7.5 oranges
52.5 oz butter or margarine (1425g)
7.5 level teaspoons bicarbonate of soda
About 120 oz plain flour (3375g)
About 30 oz currants (750g)
3.
The Fairy God Mother (who incidentally is not as
nice as she pretends to be), has hundreds of
magic potions.
She gives one to Shrek.
The shape of the lid on the magic potion bottle is drawn below.
It is made up of 6 glass tiles, 3 identical white tiles and 3 identical blue tiles.
The sides of each tile are all the same length. Opposite sides of each tile are
parallel.
One of the angles in the white tile is 70°. Find
the sizes of the other angles in the white tile.
Find the sizes of all the angles in a blue tile.
White tile: Acute angles = 70 degrees; obtuse angles = 110 degrees
Blue tile: Acute angles = 50 degrees; obtuse angles = 130 degrees
110°
70°
50°
130°
1. MGM Studios wanted to make a
larger than life model of Nemo
for display in their park; the
manufacturers had to select the
correct shade of orange.
To make the Nemo orange paint
they mixed 13l of red paint, to 6l
of yellow paint to 1l of white
paint.
To cover the full surface of the
giant Nemo will take 45 litres of paint.
How many litres of each colour do you need?
13 : 6 : 1
20 parts altogether
45 litres are needed for 20 parts
2.25 litres are needed for 1 part
29.25 litres of red
13.5 litres of yellow
2.25 litres of white
2. The animators wanted to create a starfish, PEACH. They used Logo to
create a regular starfish shape. From the list
select the appropriate instructions and arrange
them in the correct order in this statement,
(which repeats your instructions 5 times) to
create the 5 sided starfish? DF/FD/EG/GE
REPEAT5[Forward 10,
D
,Forward 10, F
A: Left 72
B: Right 72
D: Right 108
E: Left 108
F: Left 54
G: Right 54
H: Left 126
I: Right 126
]
3. When Nemo got to school the teacher set the new fish a test to see
how much they knew. The test was marked so a correct answer was
given 2 marks and an incorrect answer -1 mark.
Nemo answered 18 questions and got 15 marks.
How many questions did he get right?
11 CORRECT
7 INCORRECT
1. The simplified graph below shows Dorothy’s journey to
the Emerald City and back home to Kansas.
C
Distance from
home in miles
E
D
F
G
B
H
A
I
Time
(a)
From A to B Dorothy and her friends are skipping happily along
the yellow brick road. At point B they arrive at the poppy
fields, what might be happening at point C? Sleep / stop /
rest
(b) Which part of the graph shows the good witch of the north
magically transporting Dorothy and her friends, in a flash of
her wand, out of the poppy fields and back onto the yellow
brick road? D to E
(c)
At which point of the graph does Dorothy’s homeward journey
begin? F
2. On the journey to the Emerald City, Dorothy and her
friends came across this sign post.
Emerald City
30 km
The Wicked Witch of the West has changed all of the distances to read in
kilometres, but Dorothy, being from Kansas, works in miles.
Help Dorothy by converting this into miles?
8 km = 5 miles
1 km = 0.625 miles
30 km = 18.75 miles
3. The Good Witch of the North said she would
help Dorothy if she and her friends could solve
these problems on the yellow brick road. In each
case the value in the brick is equal to the sum of
the numbers in the bricks immediately above it.
Find the value of W and Z
2
W
2+W
14
W + 14
53
3
8
11
Z
8+Z
19 + Z
Z+2
10 + 2Z
44
16 + 2W = 53
2W = 37
W = 18.5
2
29 + 3Z = 44
3Z = 15
Z = 5
4. In the film Dorothy followed the
yellow brick road and along the way
met the Scarecrow the Tin Man, the
Lion and the wizard in that order.
What other orders could she have met them?
STLW
S T WL
S L T W
S L W T
S W L T
S W T L
T
T
T
T
T
T
S L W
S W L
L S W
L W S
W S L
W L S
L
L
L
L
L
L
S T W
S W T
W S T
W T S
T S W
T W S
W
W
W
W
W
W
S T L
S L T
T S L
T L S
L S T
L T S
What is the probability of having met them in the order in the film?
1
/24
1. During the making of the film the stunt coordinator
must ensure the weather conditions are suitable for
certain stunts to take place. Cost is also a
consideration, so the team must ensure reliability of
weather conditions so filming is not held up by poor
weather. The director is considering 3 locations in
North America. The table shows the wind speed on
three peaks during the times it would be possible to
film.
Wind Speed in Knots
Time
Fairweather
Mt. Elbert
British Columbia
Colorado
0500
14
12
Sierra
Madres
2
0600
12
8
2
0700
13
4
5
0800
11
2
7
0900
11
3
8
1000
9
6
2
1100
9
6
1
1200
11
5
6
1300
12
8
7
1400
12
9
9
1500
11
7
5
1600
8
7
2
1700
3
9
1
Mean (to 1dp)
10.5
6.6
4.4
Median
11
7
5
Range
11
10
8
Calculate the mean and median wind speeds
and the range for each peak.
Which place has the most reliable weather?
Sierra Madres
2. To be inconspicuous, James is flying to Austria on
a scheduled flight. Due to the mission he is on, he
can only carry one piece of hand luggage.
The air line stipulates that hand luggage must
meet this requirement:
Length + width + depth must be less than 1m
“Q” must design a piece of luggage which will give James the maximum
possible volume. What dimensions will give James the most space.
0.33m x 0.33m x 0.33m
0.333m x 0.333m x 0.333m etc
3. On a mission James Bond (007) is trying to retrieve a diamond from a
safe. The safe requires four separate combinations, each with 5 digits.
Each combination is part of a sequence. James has some of the digits
for each combination but must work out the remaining digits.
2
5
7
12
19
6
4
10
14
24
10
1
11
12
23
10
11/3
111/3
122/3
24
The empty cells are filled by
adding the preceding 2 numbers
1. When Oscar became famous for being ‘The Shark Slayer’ he decided
to put an advert in the ‘Fish Times’. Oscar had to calculate the cost
of his advert by using this formula:
C = 15n + 75
C
is the cost in pounds
n
is the number of words in the advert
Oscars advert had 10 words.
How much would this advert cost him?
C = 15 X 10 + 75 = £225
Oscar was upset as he did not have this amount of money to spend but
luckily, Sykes (Oscars boss), was so proud of his employers new
found fame, he decided to give him £675 to pay for this advert.
How many words can Oscar now write in his advert?
675 = 15n + 75
600 = 15n
n = 40
2. In the film Shark Tale, Oscar lived at the bottom of the ocean and
the sharks lived at the top of the ocean. Oscars one aim in life was
to own a penthouse suite. To make this film factually correct
research into the ocean life had to be carried out. Read the short
facts below to help you the answer the questions
The ocean is subdivided into three zones; the sunlight zone, the midnight zone
and the twilight zone.
The sunlight zone contains most of the
oceans’ animal and plant life. Here you
can find a wide variety of plants and
animals that require sunlight to live and
grow. This zone extends from 0 to 300
feet and has a temperature range of 68
to 56 degrees Fahrenheit.
Dive a little deeper into the midnight zone. This ranges from 300 to 3000
feet and the temperature ranges from 56 to 43 degrees. You will find no
plants here due to lack of sunlight and many of the fish will have their own
lights to be able to see.
When you finally reach the twilight
zone you will have to turn on your
light. The ocean depth ranges from
3000 to 15000 feet and the
temperature ranges from 43 to 32
degrees. Oscar was certainly a
hardy creature
Questions
What is the greatest temperature difference in the ocean? 68 – 32 = 36◦ F
What percentage of ocean is called the sunlight zone? 300/15000 = 2%
What is the ratio of depths of the
Sunlight zone: Midnight zone: Twilight zone in its simplest form?
300 : 12 000 : 27 000
1 : 40 : 90
3. At the whale wash the blue whale is one of the largest customers. As
a rough estimate, we can take the surface area of the whale to be
equal to that of a cylinder of the same length and diameter (across
the eyes).
It takes one of the washer fish 2
minutes to wash 4m² of the
whale. The whale is 28m in length
and has a diameter of 4m.
How long will it take for 5 fish who work at the same rate to wash the
whale?
Using Surface area of a cylinder = 2Πr(r + l)
= 2 x Π x 2 x (28 + 2)
= 120 Π
≈ 377 m²
Using
1 fish takes 2 minutes to wash 4 m² (377 / 4 = 94.25 m²)
2 x 94.25 m² = 188.5 minutes = 3 hours 8.5 minutes
5 fish will take 5 times less (188.5 / 5) = 37.7 minutes)
Using Surface area of a cylinder = 6r(r + l)
= 6 x 2 x (28 + 2)
= 360 m²
Using 2 minutes to wash 4 m² (360 / 4 = 90 m²)
2 x 90 m² = 180 minutes = 3 hours
5 fish will take 5 times less (180 / 5) = 36 minutes
1. Look at the pictures of Hermione Granger. Estimate the length of her
wand. Between 25 cm and 30 cm (10 to 12 inches)
2.
In order for Harry and his friends to enter the
dormitory they were given a puzzle to solve.
Help Harry and his friends to solve this jigsaw
puzzle.
A jigsaw has three different sorts of piece.
Corner pieces,
with 2 straight sides
sides
Edge pieces,
with 1 straight side
Middle pieces,
with 0 straight
This jigsaw has 24 pieces
altogether, in 4 rows of 6. How
many edge pieces, corner pieces and
middle pieces are there?
Edge = 12; Corner = 4; Middle = 8
A square jigsaw has 64 middle
pieces.
Edge = 32; Corner = 4; Total = 100
64
middle
pieces
How many of each sort of piece does this square jigsaw have,
and what is the total number of pieces?
(Hint the total must be a square number)
3 At one time, three of the Weasley children
(Ginny, Ron and Percy) had an average age of
10 and a range of 6 years.
Ginny
Ron
What is the lowest possible age of:A) the youngest, Ginny 7
B) the eldest, Percy 13
Percy
4. This is a timed activity on a web site
called
The aim is to estimate how long it will take to complete the pairs matching
game and to complete it in as few turns as possible.
Charlie and the chocolate factory
One thousand limited edition chocolate bars are made. One of the bars
contains a golden ticket which allows the winner to go around the
chocolate factory.
1. Charlie buys one bar of chocolate. What is the
probability he will win the golden ticket?
1
/ 1000
2. Verucca Salt has £5 pocket money and spends
it all on chocolate bars which cost 10p each.
What is the probability she wins a golden
ticket?
Buys 50 tickets; 50 / 1000 = 1 / 20
3. Mike Teavee has a 15% chance of winning a golden ticket. How many
bars did he buy?
15% of 1000 = 150 bars
1. Football pitches can vary in length and width. The table shows the
ranges
length
width
minimum
90m
45m
maximum
120m
90m
What is: The largest possible area of the pitch? = 120m x 90m = 10800m2
 The smallest possible area of the pitch? = 90m x 45m = 4050m2
2. Jesminder’s football club is re-turfing their pitch. The pitch is 95m by
80m. A roll of turf 25m by 5m costs £1 per square metre and must be
bought by the roll. The team must contract a grounds-man for the one
and a half days to lay the turf at £50 per day. How much will it cost
including labour?
Area of the pitch = 95m x 80m = 7600m2
Roll of turf has an area of 25m x 5m = 125m2; Cost = £125 per m2
(7600 / 125 = 60.8) so 61 rolls of turf are needed
61 x 125 = £7625
Labour Costs = £75
Total cost = £7700
3. During training Jesminder must run around the pitch.
Joe, the coach insists the players run exactly one metre
from the edge of the new pitch. Sketch the path they
follow and work out the distance they run.
[HINT- for this question it may help to know that the
circumference of a circle is roughly 3 times its diameter]
Estimate
Perimeter = 95 + 95 + 80 + 80 + (3 x 2)
= 356m
Accurate
2x(95+80) +2Π = 356.28 m (to2dp)
1. The Flick Family are planning to visit the cinema. The family consists of
the grandmother (OAP), 2 parents and 3 children under 12.
Adult
Child
Student/ OAP
Family (2 adults+2


children)
Peak Time
Off Peak
£5.50
£3.50
£3.00
£15.00
£4.00
£2.50
£2.00
£11.00
What is the cheapest way for this family to buy cinema tickets
and how much will it cost them?
Off Peak Family ticket + Childs ticket + OAP ticket
= £11.00 + £2.50 + £2.00 = £15.50
2. When the Flicks arrive at the cinema, the theatre is already quite full
and seats are limited. The family want to sit together in one row. There
is only one row where this is possible. The seats are numbered
consecutively; the total of the numbers on the seats is 87. What are
their six seat numbers? 12, 13, 14, 15, 16, 17
3. They enjoyed the evening so much they decide to go again. This time the
film they saw was on a different screen. The layout of this theatre has
a central isle with the seats on one side having even numbers and the
seats on the other side having odd numbers. They have six seats on one
row, which are next to each other on the even side of the theatre. The
total of the numbers on their seats is 66. What are their seat numbers?
6, 8, 10, 12, 14, 16
4. If you were a film maker using this information, which type of film
would you make, an action film like James Bond or an animated film like
Shrek 2? Explain your choice.
Shrek 2 had a slightly lower budget than James Bond, but it made
nearly 4 times as much in cinema takings. An animated film would be
more profitable as it appeals to a wider audience.
Shrek 2
Scatter Graph of the Gross Takings in USA ($) compared with the film budget ($)
500
400
300
USA
Gross
Takings
(Million $)200
100
0
0
20
40
60
80
100
Budget (Million $)
120
140
160
James Bond
A SERIES OF UNFORTUNATE EVENTS
Gertie = £3 285 000
Tom (£1 125 000) Dick (£1 095 000) Harry (£1 065 000)
Tom = Mary (£319 500) Harry = Hilda (£328 500) Dick = Doris (£319 500)
Ann (£532 500)
Carol (£547 500)
Beverley (£532 500)
(£426 000 less 20%)
(£479 250 less 10%)
(£547 500 + £106 500 + £53 250 = £707 250)
Carol = Tim Baudelaire
(£353 625)
Violet (£70 725)
(£141 450)
Klaus (£70 725)
Violet inherited £707 250
Sunny (£70 725)