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General Certificate of Secondary Education
Foundation Tier
November 2011
Mark
3
4–5
6–7
Mathematics (Modular)
(Specification B)
Module 5
43055/1F
8–9
10–11
F
Paper 1 Non-calculator
12–13
14–15
16–17
Wednesday 9 November 2011
1.30 pm to 2.45 pm
18
For this paper you must have:
l
TOTAL
mathematical instruments.
You must not use a calculator.
Time allowed
l 1 hour 15 minutes
Instructions
l Use black ink or black ball-point pen. Draw diagrams in pencil.
l Fill in the boxes at the top of this page.
l Answer all questions.
l You must answer the questions in the spaces provided. Do not write
outside the box around each page or on blank pages.
l Do all rough work in this book. Cross through any work you do not
want to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 70.
l You may ask for more answer paper, graph paper and tracing paper.
These must be tagged securely to this answer booklet.
Advice
l In all calculations, show clearly how you work out your answer.
(NOV11430551F01)
WMP/Nov11/43055/1F
43055/1F
2
Formulae Sheet: Foundation Tier
a
Area of trapezium = 1– (a + b)h
h
2
b
Volume of prism = area of cross-section × length
crosssection
h
lengt
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3
Answer all questions in the spaces provided.
1
Write down the name for each type of angle marked.
(3 marks)
3
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2 (a)
Complete the pattern.
62 = 36
5 × 7 = 35
4 × 8 = 32
72 = 49
6 × 8 = 48
5 × 9 = 45
82 =
7 × 9 = 63
6 × 10 = 60
92 = 81
8 × 10 =
7 × 11 =
102 = 100
×
= 99
×
= 96
(4 marks)
2 (b)
Complete this row of the pattern.
252 = 625
24 × 26 =
23 × 27 =
(2 marks)
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5
2 (c)
The diagram shows a square and a rectangle.
14 cm
Not drawn accurately
15 cm
14 cm
13 cm
Which has the greater area?
Show how you decide.
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(2 marks)
Turn over for the next question
8
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3
Use the grid below.
3 (a)
Plot the point (3, 10).
Label it A.
(1 mark)
3 (b)
Plot a point with the x-coordinate equal to the y-coordinate.
Label it B.
(1 mark)
3 (c)
Plot a point with the x-coordinate equal to double the y-coordinate.
Label it C.
(1 mark)
y
10
9
8
7
6
5
4
3
2
1
0
0
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1
2
3
4
5
6
7
8
9
10
x
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7
4
The diagram shows a thermometer.
°C
–4
4 (a)
–3
–2
–1
0
1
2
3
Write down the temperature shown.
Answer ................................................................. ºC
4 (b)
(1 mark)
The temperature rises to 2.4 ºC.
Mark this temperature on the thermometer above.
(1 mark)
4 (c)
At midnight, the temperature was – 4 ºC.
4 (c) (i)
By 9 am, the temperature had increased by 5 ºC.
Work out the temperature at 9 am.
............................................................................................................................................
Answer ................................................................. ºC
(1 mark)
4 (c) (ii) By 11 am, the temperature was 8 ºC.
How much had the temperature increased between midnight and 11 am?
............................................................................................................................................
Answer ................................................................. ºC
(1 mark)
7
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5
Do not write
outside the
box
A builder has pipes which are 3 metres long or 5 metres long.
He needs 22 metres of pipe for a job.
How many 3-metre pipes and 5-metre pipes should he use so that he has no waste?
You must show your working.
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............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ............................................... 3-metre pipes
............................................... 5-metre pipes
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(3 marks)
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6
The diagram shows a rectangle.
5 cm
Not drawn accurately
1 cm
6 (a)
Work out the perimeter of the rectangle.
............................................................................................................................................
(2 marks)
Answer ................................................................ cm
6 (b)
Two of these rectangles are joined together to make a T-shape as shown.
Not drawn accurately
Work out the perimeter of the T-shape.
............................................................................................................................................
............................................................................................................................................
Answer ................................................................ cm
(2 marks)
7
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10
7
Here is a conversion graph.
23
22
21
20
19
18
17
16
15
14
13
Miles per hour
(mph)
12
11
10
9
8
7
6
5
4
3
2
1
0
0
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1
2
3
4
6
8
5
7
Metres per second (m/s)
9
10
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7 (a)
Use the graph to convert 18 miles per hour to metres per second.
Answer ............................................................... m/s
7 (b)
Use the graph to convert 5 metres per second to miles per hour.
Answer .............................................................. mph
7 (c)
(1 mark)
(1 mark)
An athlete runs 200 metres in 20 seconds.
Work out his average speed in miles per hour.
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Answer .............................................................. mph
(3 marks)
Turn over for the next question
5
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8 (a)
Solve
x + 9 = 16
............................................................................................................................................
Answer x = ...............................................................
8 (b)
Simplify
(1 mark)
4w + 3w – w
............................................................................................................................................
Answer .....................................................................
8 (c)
Given that
(1 mark)
5t + 4s = 13
work out the value of
15t + 12s
............................................................................................................................................
............................................................................................................................................
Answer .....................................................................
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(2 marks)
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13
An aeroplane flies due North from A to B.
The distance from A to B on the motorway is 23 miles.
9
N
Scale: 1cm represents 2 miles
B
Motorway
A
9 (a)
How much further is it from A to B on the motorway than by aeroplane?
............................................................................................................................................
............................................................................................................................................
Answer ........................................................... miles
9 (b)
C is 12 miles North-East of A.
9 (b) (i)
Write down the three-figure bearing of C from A.
Answer .................................................................. º
(3 marks)
(1 mark)
9 (b) (ii) Mark with a cross the point C on the diagram.
(2 marks)
10
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10 (a)
Complete the table for
x
y = 3x – 5
–2
–1
y
0
–8
1
2
–2
1
(2 marks)
10 (b)
Draw the graph of
y = 3x – 5 for values of x from –2 to 2.
y
2
1
–2
–1
O
1
2
x
–1
–2
–3
–4
–5
–6
–7
–8
–9
– 10
– 11
– 12
(2 marks)
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15
11 (a)
Draw an enlargement of the hexagon with scale factor 2.
(2 marks)
11 (b)
Is the shaded hexagon regular?
Tick a box.
Give a reason for your answer.
Yes
No
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............................................................................................................................................
(1 mark)
7
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16
12
The diagram shows part of a table.
A
B
C
1
D
2
20
36
For each row in the table:
Number in column B
=
5 × Number in column A
Number in column C
=
Number in column B – Number in column A
Number in column D
=
Square root of Number in column C
Complete the table.
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(7 marks)
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17
13 (a)
Simplify fully
3x + 5y – x – 8y
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
13 (b)
Given that
(2 marks)
w + 4s = 7t
work out the value of w when t = –2 and s = 0.5
............................................................................................................................................
............................................................................................................................................
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Answer ......................................................................
13 (c)
Multiply out
(3 marks)
x2(x – 4)
............................................................................................................................................
Answer ......................................................................
14
(2 marks)
Use π = 3.14 to work out the area of a circle of radius 10 cm.
State the units of your answer.
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............................................................................................................................................
............................................................................................................................................
Answer .....................................................................
(3 marks)
17
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15 (a)
The diagram shows a right-angled triangle.
Not drawn accurately
x
6 cm
8 cm
Work out x.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ................................................................ cm
15 (b)
(3 marks)
The diagram shows a triangular prism.
11 cm
6 cm
8 cm
Work out the volume.
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Answer ............................................................... cm3
(3 marks)
6
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