1. Fiona = 18 years old; Shrek = 23 years old;
Donkey = 10 years old; Pinocchio = 5 years old
61
56
56
43
25
69
40
82
51
2. 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.
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.
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. DF / FD / EG / GE
3.
11 CORRECT. 7 INCORRECT
1. (a) Sleep / stop / rest
(b)
D to E
(c)
F
2.
8 km = 5 miles
1 km = 0.625 miles
30 km = 18.75 miles
3.
2
W
2+W
14
3
8
11
W + 14
53
Z
8+Z
19 + Z
2
Z+2
10 + 2Z
44
16 + 2W = 53
2W = 37
W = 18.5
4.
STLW
S T WL
SLTW
SLWT
SWLT
SWTL
TSLW
TSWL
TLSW
TLWS
TWSL
TWLS
29 + 3Z = 44
3Z = 15
Z=5
LSTW
LSWT
LWST
LWTS
LTSW
LTWS
WSTL
WSLT
WTSL
WTLS
WLST
WLTS
What is the probability of having met them in the order in the film?
1
/24
1.
Mean (to 1dp)
10.5
6.6
4.4
Median
11
7
5
Range
11
10
8
Which place has the most reliable weather?
2.
0.33m x 0.33m x 0.33m
0.333m x 0.333m x 0.333m etc
3.
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. C = 15 X 10 + 75 = £225
2. How many words can Oscar now write in his advert?
675 = 15n + 75; 600 = 15n;
n = 40
3. 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
4. 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. Between 25 cm and 30 cm (10 to 12 inches)
2. Edge = 12; Corner = 4; Middle = 8
A square jigsaw has 64 middle pieces.
Edge = 32; Corner = 4; Total = 100
3. What is the lowest possible age of:the youngest, Ginny 7
the eldest, Percy 13
Charlie and the chocolate factory
1.
1
/ 1000
2. Buys 50 tickets;
50
/ 1000 = 1 / 20
3. 15% of 1000 = 150 bars
1.
2.
The largest possible area of the pitch? = 120m x 90m = 10800m2
The smallest possible area of the pitch? = 90m x 45m = 4050m2
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.
Estimate
Perimeter = 95 + 95 + 80 + 80 + (3 x 2)
= 356m
Accurate
2x(95+80) +2Π = 356.28 m (to2dp)
1. Off Peak Family ticket + Childs ticket + OAP ticket
= £11.00 + £2.50 + £2.00 = £15.50
2. 12, 13, 14, 15, 16, 17
3. 6, 8, 10, 12, 14, 16
4.
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.
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)