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General Certificate of Secondary Education
Foundation Tier
June 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
Monday 6 June 2011
1.30 pm to 2.45 pm
18–19
For this paper you must have:
l
20
mathematical instruments.
TOTAL
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.
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.
WMP/Jun11/43055/1F
43055/1F
2
Formulae Sheet: Foundation Tier
a
1
h
Area of trapezium = 2– (a + b)h
b
Volume of prism = area of cross-section × length
crosssection
h
lengt
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WMP/Jun11/43055/1F
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outside the
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3
Answer all questions in the spaces provided.
1 (a)
Write down the number shown by the arrow.
10
5
15
0
20
Answer ......................................................................
1 (b)
(1 mark)
Write down the number shown by the arrow.
100
50
0
Answer ......................................................................
1 (c)
(1 mark)
Draw an arrow to show the number 36 on this number line.
30
50
(1 mark)
3
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(03)
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4
2
Here are six words that are used with circles.
arc
chord
circumference
diameter
radius
tangent
Put the correct word from the list in each box.
(4 marks)
3
This shape is made with cubes.
There are ten cubes on the bottom layer.
How many cubes are there altogether?
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............................................................................................................................................
Answer ......................................................................
(04)
(2 marks)
WMP/Jun11/43055/1F
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5
4
Here is a grid of numbers.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
.......
.......
.......
.......
.......
.......
The grid is continued.
4 (a)
Which of the following statements are true for the sixth column?
Tick the correct boxes.
The numbers are even
The numbers are factors of 6
The numbers are multiples of 6
40 is in this column
(2 marks)
4 (b)
Sasha says that when the grid is continued all numbers in the fifth column are prime
numbers.
Is she correct?
Tick a box.
Yes
No
Give a reason for your answer.
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(1 mark)
9
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6
5
Match the properties to the shape.
One has been done for you.
Properties
Shape
All sides equal
Rectangle
All angles equal
Opposite sides equal
Rhombus
All angles equal
All sides equal
Trapezium
No right angles
Only one pair of
parallel sides
Square
(2 marks)
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7
6
A metal block is 9.3 centimetres long.
9.3 cm
6 (a)
How long is the block in millimetres?
............................................................................................................................................
(1 mark)
Answer ............................................................... mm
6 (b)
The metal blocks are cut from a strip as shown.
Not drawn accurately
1 metre
9.3 cm
6 (b) (i)
9.3 cm
9.3 cm
How many blocks can be cut from a strip that is one metre long?
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
(2 marks)
6 (b) (ii) How long is the piece that is left over?
............................................................................................................................................
Answer ................................................................ cm
(1 mark)
6
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Do not write
outside the
box
7 (a)
Here is a rectangle made from 10 squares.
7 (a) (i)
What fraction of the rectangle is shaded?
Answer ......................................................................
(1 mark)
7 (a) (ii) What percentage of the rectangle is shaded?
Answer .................................................................. %
7 (b)
(1 mark)
2
Circle the fractions that are equivalent to 5
3
6
4
10
5
12
6
15
25
55
(2 marks)
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9
7 (c)
Here is the same rectangle.
7 (c) (i)
State the order of rotational symmetry.
Answer ......................................................................
(1 mark)
7 (c) (ii) Shade two more squares on this rectangle so that it has line symmetry.
(1 mark)
Turn over for the next question
6
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10
8 (a)
Clare goes from home to work.
The total distance is 20 miles.
She travels by bus for 18 miles and then walks for 2 miles.
You are given this formula.
Time taken = Distance ÷
8 (a) (i)
Average speed
The bus travels at an average speed of 12 miles per hour.
How many hours does the bus take to travel the 18 miles?
............................................................................................................................................
............................................................................................................................................
Answer ........................................................... hours
(2 marks)
8 (a) (ii) Clare walks at an average speed of 4 miles per hour.
How many minutes does she take to walk the 2 miles?
............................................................................................................................................
............................................................................................................................................
Answer ....................................................... minutes
(10)
(2 marks)
WMP/Jun11/43055/1F
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11
8 (a) (iii) She catches the bus from home at 0800.
20
15
Distance
from home
(miles)
10
5
0
0730
0800
0830
0900
0930
1000
1030
Time
On the grid show both parts of her journey to work.
(3 marks)
8 (b)
A friend takes her home by car.
The 20 miles takes 30 minutes.
What is the average speed of the car?
Give your answer in miles per hour.
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............................................................................................................................................
Answer .............................................................. mph
(2 marks)
9
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12
9
The picture shows a man and a giraffe.
Estimate the height of the giraffe, in metres.
Show clearly how you work out your answer.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer .......................................................... metres
(12)
(3 marks)
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13
10 (a)
Write down the next term in the sequence.
a + 3b
2a + 5b
3a + 7b
Answer ......................................................................
10 (b)
(2 marks)
x = 2 and y = 5
Work out the value of
3x + 4y
............................................................................................................................................
Answer ......................................................................
10 (c)
Expand
(2 marks)
c(c – 3)
............................................................................................................................................
Answer ......................................................................
10 (d)
Factorise
(2 marks)
3d + 12
............................................................................................................................................
Answer ......................................................................
(1 mark)
Turn over for the next question
10
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14
11
ABC is an isosceles triangle with AB = AC
Angle A = 50º
BCD is a straight line.
A
50°
Not drawn accurately
y
x
B
11 (a)
C
D
Work out the size of angle x.
............................................................................................................................................
............................................................................................................................................
Answer ........................................................ degrees
11 (b)
(2 marks)
Work out the size of angle y.
............................................................................................................................................
............................................................................................................................................
Answer ........................................................ degrees
(14)
(2 marks)
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15
12 (a)
Complete the table for y = 4x – 1
x
–2
y
–1
0
1
2
–5
–1
3
7
(1 mark)
12 (b)
Draw the graph of y = 4x – 1 for values of x from –2 to 2.
y
7
6
5
4
3
2
1
–2
–1
O
1
2
x
–1
–2
–3
–4
–5
–6
–7
–8
–9
(2 marks)
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(15)
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16
13 (a)
A cuboid has edges of lengths 5 cm, 4 cm and 2 cm.
Complete the drawing of the cuboid on the isometric grid below.
(2 marks)
13 (b)
Work out the volume of the cuboid.
State the units of your answer.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
(16)
(3 marks)
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17
14 (a)
Solve
a–3=5
............................................................................................................................................
Answer a = ................................................................
14 (b)
Solve
(1 mark)
5c + 10 = 3(c + 2)
............................................................................................................................................
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............................................................................................................................................
............................................................................................................................................
Answer c = ................................................................
(3 marks)
Turn over for the next question
9
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18
15
Triangle T is drawn on the grid.
y
5
4
3
2
T
1
–5
–4
–3
–2
–1 O
–1
1
2
3
4
5
x
–2
–3
–4
–5
Draw the image of triangle T after a 90º anticlockwise rotation about (0, 1).
(3 marks)
(18)
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19
16
Here are three expressions.
4x + 10
2x + 15
30 – x
The sum of the three expressions is 90.
Work out the value of each expression.
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............................................................................................................................................
............................................................................................................................................
Answer
4x + 10 = ................................................
Answer
2x + 15 = ................................................
Answer
30 – x
= ................................................
(4 marks)
Turn over for the next question
7
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(19)
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20
17
These shapes have the same perimeter.
The semicircle has a diameter of 20 cm.
The rectangle has a length of 15 cm.
Not drawn
accurately
x
15 cm
20 cm
Work out the width of the rectangle, marked x on the diagram.
Use π = 3.14 in your calculations.
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............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ................................................................ cm
(4 marks)
END OF QUESTIONS
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