M5
GENERAL CERTIFICATE OF SECONDARY EDUCATION
B275A
MATHEMATICS C (GRADUATED ASSESSMENT)
MODULE M5 – SECTION A
*CUP/T60903*
Tuesday 20 January 2009
Morning
Candidates answer on the question paper
OCR Supplied Materials:
None
Duration: 30 minutes
Other Materials Required:
•
Geometrical instruments
•
Tracing paper (optional)
•
Pie chart scale (optional)
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B
2
7
5
A
*
INSTRUCTIONS TO CANDIDATES
•
•
•
•
•
•
•
Write your name clearly in capital letters, your Centre Number and Candidate Number in the boxes above.
Use black ink. Pencil may be used for graphs and diagrams only.
Read each question carefully and make sure that you know what you have to do before starting your answer.
Show your working. Marks may be given for a correct method even if the answer is incorrect.
Answer all the questions.
Do not write in the bar codes.
Write your answer to each question in the space provided, however additional paper may be used if
necessary.
INFORMATION FOR CANDIDATES
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•
•
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this Section is 25.
This document consists of 8 pages. Any blank pages are indicated.
WARNING
No calculator can be
used for Section A of
this paper
FOR EXAMINER’S USE
SECTION A
SECTION B
TOTAL
© OCR 2009 [100/1142/0]
SP (CW/CGW) T60903/4
OCR is an exempt Charity
Turn over
2
Formulae Sheet
a
Area of trapezium =
1
2
h
(a + b)h
b
Volume of prism = (area of cross-section)
length
crosssection
h
lengt
PLEASE DO NOT WRITE ON THIS PAGE
© OCR 2009
3
1
Angie needs to buy 28 m2 of carpet.
The carpet costs £18·75 per square metre.
(a) Write down a calculation Angie could do in her head to estimate the total cost of the carpet.
(a) .................................................... = £ .................. [2]
(b) Is the estimate bigger or smaller than the exact cost?
Explain how you made your decision.
The estimate is ............................ than the exact cost because .........................................................
....................................................................................................................................................... [1]
2
Complete these equivalent fractions.
3 =
= 15
8
4
© OCR 2009
[2]
Turn over
4
3
Quadrilateral A is rotated clockwise to quadrilateral B.
A
B
(a) Mark the centre of rotation with a cross.
[1]
(b) Write down the angle of rotation.
(b) ............................... º [1]
(c) What is the mathematical name for this type of quadrilateral?
(c) ...................................................... [1]
© OCR 2009
5
Annie and Mary both use the local swimming pool.
(a) Annie pays each time she goes to the pool.
The graph shows the total cost for different numbers of visits.
C
Annie
150
Total cost in pounds
4
125
100
75
50
25
0
20
10
30
40
50
n
Number of visits
Use the graph to find the total cost of 15 visits.
(a) £ ............................... [1]
(b) Mary pays a membership fee for the year and a charge for each visit.
This formula can be used to work out the total cost for different numbers of visits.
C = 2n + 30
C is the total cost in pounds, n is the number of visits.
(i) Complete the table.
n
0
10
20
C
30
50
70
30
40
50
[2]
(ii) On the grid above, draw the graph of C = 2n + 30.
[2]
(iii) For how many visits is the total cost the same for Annie and Mary?
(b)(iii) ........................... [1]
© OCR 2009
Turn over
6
5
Use numbers from this list to complete the statements below.
–3
6
–2
2
3
(a)
…… + …… = –5
[1]
(b)
…… × …… = –6
[1]
(c)
…… – …… = –5
[1]
Simplify.
3x – 2y + 4x – y
....................................... [2]
© OCR 2009
7
Look at these coins.
DIEN
O N
N
T W
ICH
E
P E N
N Y
C E
T E
P E
P E
C E
E
N
C E
CE
82
O
E
N
EN
19
P
N
P
Y
F I
V
E
T
P
C E
5
N E
N
P O U
D
O
Y
N
F I
F
T
TWEN
7
(a) The value of one of these coins is 25% of the value of another of these coins.
Which are the two coins?
(a) ........................ and ....................... [1]
(b) The value of one of these coins is 40% of the value of another of these coins.
Write down two coins for which this is true.
(b) ....................... and ....................... [2]
8
Solve.
(a) 11 =
x
2
(a) .................................. [1]
(b) 4x – 1 = 19
(b) ................................. [2]
© OCR 2009
8
PLEASE DO NOT WRITE ON THIS PAGE
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (OCR) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
OCR is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES),
which is itself a department of the University of Cambridge.
© OCR 2009