Excel / Education
GCSE Mathematics
Paper 2B (Calculator)
Foundation Tier
Time: 1 hour 30 minutes
2B
Materials required for examination
Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil,
eraser.
Tracing paper may be used.
Items included with question papers
Formulae sheet
Instructions to Candidates
Answer ALL the questions in the spaces provided in this question paper.
Supplementary answer sheets may be used.
Information for Candidates
The total mark for this paper is 100.
The marks for questions and parts of questions are shown in round brackets: e.g. (2).
Calculators may be used.
Advice to Candidates
Show all your working.
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Foundation 2B
GCSE Maths
1.
The temperature on Monday night is -5oC. By Tuesday Morning the
temperature has risen by 3oC.
(a)
What is the temperature on Tuesday morning?
……………………
(1)
The temperatures on 5 nights that week are as follows (all in oC);
-5, -3, -2, 0, 3
(b)
Calculate the mean of these temperatures.
……………………
(3)
2.
Write in figures the number fifty two thousand, four hundred and sixty seven.
………………..
(2)
3.
Amjad looks up the value of π in a book. It is given as 3.1415926536
(a)
What is this number to 4 decimal places?
……………………
(1)
(b)
What is this number to 1 decimal place?
……………………
(1)
4.
The diagram below shows the Net of a solid object.
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Foundation 2B
GCSE Maths
Which of the solids below could this be the net of?
A. Cone
B. Pyramid
C. Cylinder
D. Cube
………………..
(2)
5.
(a)
Write 60% as a fraction. Simplify your answer as much as possible.
………………..
(2)
(b)
Write 75% as a decimal.
………………..
(1)
(c)
Write 0.95 as a percentage.
……………….%
(1)
6.
80o
x
(a)
62o
y
Calculate the size of angle x. Give a reason for your answer.
……………………
(2)
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Foundation 2B
GCSE Maths
(b)
Calculate the size of angle y. Give a reason for your answer.
……………………
(2)
7.
(a)
Expand 2(x – 3)
……………………
(2)
(b)
Factorise 8x + 12
……………………
(2)
8.
This solid object is made up of 1cm3 blocks.
What is the volume of the solid? State the units in your answer.
………………..
(2)
9.
Martha buys 4 kg of apples, 5 bananas and 1 kg of strawberries.
(a)
Given that apples cost £1.18 per kg, bananas cost 21p each and
strawberries cost 64p per 100g, calculate the total cost of Martha’s shopping. You
must show all your working.
……………………
(3)
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Foundation 2B
GCSE Maths
(b)
The following week, the price of apples has been reduced by 18%.
What is the new price of 1 kg of apples?
……………………
(2)
10.
Using a ruler and compasses only, construct a triangle with sides 8cm, 6cm
and 10cm.
(3)
11.
Convert 2m2 into cm2
………………. cm2
(2)
12.
(a)
Write the number 60 as a product of its prime factors.
…………………
(2)
(b)
Write the number 80 as a product of its prime factors.
…………………
(2)
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Foundation 2B
GCSE Maths
(c)
Hence or otherwise find the highest common factor of 60 and 80.
…………………
(2)
13.
The numbers of different breeds of dog in a park were noted and are given in
the table below;
Breed
Collie
Labrador
Spaniel
Terrier
Other
Number
10
12
6
5
3
Angle
A pie chart is to be drawn
(a)
Calculate the angle for each section of the pie chart
(3)
(b)
Complete the pie chart below, labelling each section carefully.
(3)
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GCSE Maths
(c)
Tyrone says that a third of all these dogs are Labradors so a third of all
the dogs in Britain are Labradors. Explain why Tyrone may NOT be correct.
…………………………………………………………………………………
…………………………………………………………………………………
………………………………………………………………………………(1)
14.
The following diagram represents a garden with a square pond in the corner.
2m
Pond
x
10 m
x
(a)
Write down an expression, in terms of x, for the shortest side of the
garden.
…………………
(2)
(b)
Write down AND SIMPLIFY an expression, in terms of x, for the
perimeter of the garden.
…………………
(3)
The perimeter of the garden is 30m
(c)
Work out the value of x
…………………
(3)
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Foundation 2B
GCSE Maths
15.
An amateur football league has 8 teams. Their goals scored and goals
conceded at the end of the season are given below.
team
A
scored
4
conceded 21
C
10
10
D
11
8
E
8
16
F
16
6
G
14
4
H
5
15
On the grid below, draw a scatter diagram to illustrate this data.
conceded
(a)
B
20
1
23
21
19
17
15
13
11
9
7
5
3
1
1
3
5
7
9
11
13
15
17
19
21
23
Scored
(3)
(b)
Draw a line of best fit on the graph
(1)
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(c)
Describe the relationship between goals scored and goals conceded.
…………………………………………..…………………………………………..
…………………………………………..…………………………………………..
(2)
16.
(a)
Given that x is an integer and -1 ≤ x < 4.
Write down all the values that x could take.
……………………………………….
(3)
(b)
Solve the inequality
5x – 3 ≥ -1
…………………….
(3)
17.
Steven and Mike are trying to find out what kind of tv programmes people of
their age enjoy the most.
(a)
Design a questionnaire they could use for this purpose.
(3)
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(b)
They ask everyone in their Maths class to fill in the questionnaire.
State one reason why this might give inaccurate results.
…………………………………………..…………………………………………..
…………………………………………..…………………………………………..
(1)
18.
The graph of y = x2 – 6x + 8 is to be plotted.
(a)
x
y
Complete the following table for y = x2 – 6x + 8
-1
(b)
0
8
1
3
2
3
4
0
5
6
(4)
2
On the grid below, plot the graph of y = x – 6x + 8
y
16
14
12
10
8
6
4
2
-4
-3
-2
-1
1
2
3
4
x
-2
-4
-6
-8
(3)
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Foundation 2B
GCSE Maths
19.
Solve the following equations;
(a)
5x – 9 = 46
………………….
(2)
(b)
(c)
(d)
9x – 2 = 5x + 22
………………….
(3)
3x ! 7
= !8
2
………………….
(3)
3x ! 7
=4!x
2
………………….
(3)
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Foundation 2B
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20.
Give that a, b, c and d are lengths.
Tick the appropriate boxes to indicate which expressions could represent
volumes.
a2b + cd2
4πd2a
πb3 + c3
b3
(c + 5)
(a + b) d
2(a 2 + b 2 ) 2
d
(3)
21.
y
C
D
A
x
B
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Foundation 2B
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Describe fully the transformation that takes shape A to;
(a)
Shape B
…………………………….…………………………………………………….
……………………………….………………………………………………….
(2)
(b)
Shape C
…………………………….…………………………………………………….
……………………………….………………………………………………….
(2)
(c)
Shape D
…………………………….…………………………………………………….
……………………………….………………………………………………….
(2)
(d)
Describe the single transformation that takes shape B to shape D
…………………………….…………………………………………………….
……………………………….………………………………………………….
(2)
End of Questions
(Total Marks: 100)
© Excel Education
Foundation 2B
GCSE Maths
© Excel Education
Foundation 2B
GCSE Maths