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Page 1

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H
GENERAL CERTIFICATE OF SECONDARY EDUCATION
MATHEMATICS SYLLABUS A J512/04
Paper 4
(Higher Tier)




Monday 1 June 2009
*OCE/T66408*




Candidates answer on the question paper

OCR Supplied Materials:
Morning
None
Duration: 2 hours
Other Materials Required:
· Electronic calculator
· Geometrical instruments
· Tracing paper (optional)
* J 5 1…

Page 2

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2
Formulae Sheet: Higher Tier


a



Area of trapezium = 1 (a + b)h h
2


b




Volume of prism = (area of cross-section) x length cross-
section
h
lengt




In any triangle ABC
C
a b c
Sine rule = =
sin A sin B sin C b a…

Page 3

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3
1 Joan has a recipe for making chocolate buns.
The recipe uses 150 g of flour and 25 g of cocoa powder to make 12 buns.

(a) How much flour should Joan use to make 18 buns?

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(a) ___________________________ g [2]

(b) What is 25 g out…

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4
3 Rachael decides to bath her dog, Oscar. She runs water into the bath, puts Oscar in the bath,
baths Oscar, takes him out and then empties the bath.
The graph shows the depth of water in the bath.



30

25

20
Water depth
(cm) 15

10

5

0…

Page 5

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5
4 Calculate the average speed for a journey of 420 miles that takes 3 hours 30 minutes.

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_________________________ mph [3]



5 Enlarge the triangle by scale factor 2 from centre A.




A


[3]




© OCR 2009 Turn over

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6
6 Sally conducted an experiment on reaction times.
One day ten students were woken at 4 am and their reaction times were measured.
Another day their reaction times were measured mid-morning after a full night's sleep.

The reaction times, in seconds, are shown in the table.


Student A B…

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7
(d) Another student, John, has a mid-morning reaction time of 5.0 seconds.

Use your line of best fit to estimate John's reaction time if he was woken at 4 am.

(d) __________________________ s [1]

(e) Explain why it may not be appropriate to use your line of best fit…

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8
8
Z
46° 67° NOT TO
SCALE



a
X

Y

(a) Find the size of angle a.
Give a reason for your answer.

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a = _______________° because _______________________________________________

______________________________________________________________________ [2]


(b) Find the sizes of the other angles in triangle XYZ.
What type of triangle is XYZ?…

Page 9

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9
9 Eight identical squares have a total area of 2312 mm2.
The length of the side of each square is x mm.

Write an equation in x and work out the value of x.

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_____________________________ [3]



10 The capacity of a tank is 8 gallons.…

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10
11 Use trial and improvement to solve this equation.

x 3 ­ x = 10

Give your answer to one decimal place.
Show all your trials and their outcomes.

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_____________________________ [4]


12 A fair spinner is numbered from…

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