Pages in this set

Page 1

Preview of page 1
H
GENERAL CERTIFICATE OF SECONDARY EDUCATION
MATHEMATICS SYLLABUS A J512/03
Paper 3
(Higher Tier)




Monday 18 May 2009
*OCE/T66416*




Candidates answer on the question paper

OCR Supplied Materials:
Afternoon
None
Duration: 2 hours
Other Materials Required:
· Geometrical instruments
· Tracing paper (optional)


* J 5 1 2 0 3…

Page 2

Preview of page 2
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

Preview of page 3
3
1 Mr Smith did a survey of how students travelled to school.
He displayed his results in a table.

Complete the table.

..........................................................................................................................................................

..........................................................................................................................................................

..........................................................................................................................................................


Bus Walk Car Total

Boys 21 13 57

Girls 8

Total 40 100
[3]



2 A jacket can be bought in a shop or…

Page 4

Preview of page 4
4
3 (a) The table shows the distribution of waiting times (in minutes) that customers spent at the
checkout of a supermarket.


Waiting time (minutes) Frequency

0 up to 2 8

2 up to 4 19

4 up to 6 11

6 up to 8 6

8 up to 10…

Page 5

Preview of page 5
5
(ii) Write down the modal class for these waiting times.

(a)(ii) _____________________ minutes [1]

(iii) One of these customers is chosen at random.

What is the probability that this customer waited 6 minutes or more?

...........................................................................................................................................

...........................................................................................................................................

(iii) ____________________________ [2]

(b) At the supermarket, Jack is doing a survey…

Page 6

Preview of page 6
6
4 (a) Show that x = 2 is the solution of this equation.

9x ­ 1 = 4x + 9

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

______________________________________________________________________ [2]

(b) Solve.
x
­­3=5
2
...................................................................................................................................................

...................................................................................................................................................

...................................................................................................................................................

...................................................................................................................................................

(b) ____________________________ [2]



5 (a) In a carton of Squashy, orange juice and…

Page 7

Preview of page 7
7
6
y

6

5

4

3
A
2

1


­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 x
­1

­2

­3

­4

­5

­6


(a) Triangle A is drawn on a 1 cm square grid.

Work out the area of triangle A.

...................................................................................................................................................

...................................................................................................................................................…

Page 8

Preview of page 8
8
7 (a) List the integer values, n, which satisfy

3 < n 7.

...................................................................................................................................................

...................................................................................................................................................

(a) ____________________________ [2]

(b) (i) Solve this inequality.

3x ­ 2 > 4

...........................................................................................................................................

...........................................................................................................................................

(b)(i) ____________________________ [2]

(ii) Show your solution to part (i) on the number line below.




­5 ­4 ­3 ­2…

Page 9

Preview of page 9
9
8 (a) Here are the first four terms of a sequence.

25 20 15 10

Find an expression for the nth term of this sequence.

...................................................................................................................................................

...................................................................................................................................................

(a) ____________________________ [2]

(b) Here are the first four terms of another sequence.

1 4 9 16

The nth term of this…

Page 10

Preview of page 10
10
10 Jo wanted to know if this spinner was fair.
She spun it a number of times. 1




2
4
3
The table shows her results.

Number 1 2 3 4

Frequency 115 129 132 124



(a) What is the relative frequency of obtaining a 2?

...................................................................................................................................................

...................................................................................................................................................

(a)…

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »