M6
GENERAL CERTIFICATE OF SECONDARY EDUCATION
B276A
MATHEMATICS C (GRADUATED ASSESSMENT)
MODULE M6 – SECTION A
*CUP/T60913*
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)
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B
2
7
6
A
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INSTRUCTIONS TO CANDIDATES
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•
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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 (NF/CGW) T60913/3
OCR is an exempt Charity
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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
(a) Work out.
(i) 3 × 52 + 4 × 5
(a)(i) ................................. [2]
(ii)
3
7
÷
5
8
(ii) ................................. [2]
(b) Write as a decimal.
4
5
(b) .................................... [2]
2
In the diagram, AB is parallel to CD.
A
C
b
a
58°
74°
B
D
Not to scale
Complete each of these sentences by giving a reason.
Angle a = 58° because ..............................................................................................................................
............................................................................................................................................................... [1]
Angle b = 74° because ..............................................................................................................................
............................................................................................................................................................... [1]
© OCR 2009
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4
Samit walks up a hill.
The table shows the temperature, in °C, at various heights.
Height (m)
Temperature (°C)
0
26·4
80
25·8
140
24·8
200
25·0
260
23·8
320
23·3
370
22·5
440
22·4
520
21·0
600
20·5
The first eight points have been plotted on the scatter diagram.
27
26
25
Temperature (°C)
3
24
23
22
21
20
0
100
200
300
400
500
600
Height above sea level (m)
(a) Complete the scatter diagram.
[1]
(b) Describe the correlation shown in this diagram.
....................................................................................................................................................... [1]
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5
(c) Draw a line of best fit.
[1]
(d) Use your line to estimate the temperature at a height of 500 m.
Give your answer correct to one decimal place.
(d) ..............................°C [1]
4
(a) Expand.
3(x – 5)
(a) ..................................... [1]
(b) Solve.
(i) 4x – 3 = 7
(b)(i) ................................. [2]
(ii) 5x + 10 = 3x + 4
(ii) ................................. [3]
© OCR 2009
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6
5
(a) Bill is making 600 kg of mortar.
He mixes sand and cement in the ratio 4 : 1.
What weight of cement does he need?
(a) .............................. kg [2]
(b) Bill is ordering sand and cement for another job.
Here is his order.
2·5 tonnes of sand at £32·30 per tonne
10 bags of cement at £3·40 per bag
Calculate the total cost of his order.
(b) £ ................................. [5]
© OCR 2009
7
BLANK PAGE
PLEASE DO NOT WRITE ON THIS PAGE
© OCR 2009
8
PLEASE DO NOT WRITE ON THIS PAGE
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