Name
Class
Paper 2
Edexcel Style
Foundation Tier
May 2016
Time
Marks Available
1 Hour 45 Minutes
100
Commissioned by The PiXL Club Ltd.
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PiXL Club
Formulae: Foundation Tier
You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.
Area of trapezium = (a + b)h
Volume of prism = area of cross section × length
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PiXL Club
Question 1
(a) Write down the fraction of this shape that is shaded.
Give your fraction in its simplest form.
...........................
(2)
(b) Shade
2
of this shape.
7
(1)
(Total 3 marks)
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PiXL Club
Question 2
a) Work out 52
…………………………(1)
b) Find the square root of 3.24
…………………………(1)
c) Work out the number that is half-way between 3.7 and 4.4
…………………………(1)
(Total 3 marks)
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Question 3
Diagram NOT accurately
drawn
Work out the bearing of B
from A
(Total 2 marks)
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Question 4
On the grid, enlarge the shaded shape by a scale factor of 3, centre O.
(3)
(Total 3 marks)
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Question 5
(Total 2 marks)
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Question 6
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Question 7
Use your calculator to work out the value of √20.25 + 1.652
(a) Write down all the figures on your calculator display.
……………………………(2)
(Total 2 marks)
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PiXL Club
Question 8
(a) Write down the coordinates of the point A.
(……………………. . …………………….)
(1)
(b) Write down the coordinates of the point B.
(……………………. . …………………….)
(1)
N is the point (-3, 2)
(c) On the grid, mark the point N with a cross (x), Label it N
(1)
M is another point.
The x coordinate of M is the same as the x coordinate of N
The y coordinate of M is the same as the y coordinate of B
(d) Write down the coordinates of the point M
(……………………. . …………………….)
(1)
(Total 4 marks)
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PiXL Club
Question 9
The numbers of driving lessons taken by fifteen people before passing their driving test are shown.
22
38
13
15
18
21
9
19
58
18
48
23
29
16
13
(a) Complete an ordered stem-and-leaf diagram to represent this data.
Remember to complete the key
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
(b) The mean of these numbers is 24
Tony says, ‘The average number of lessons needed to pass a driving test is 24’
Is this a reasonable statement to make?
Give a reason for your answer.
………………………………………………………………………………………………………
………………………………………………………………………………………………………
………………………………………………………………………………………………………
(1)
(Total 4 marks)
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PiXL Club
Question 10
(a) Work out the highest common factor (HCF) of
16 and 20
………………………(1)
(b) Work out the lowest common multiple (LCM) of
16 and 20
………………………(1)
(Total 2 marks)
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PiXL Club
Question 11
On the grid draw a graph of y = 3x + 4
(Total 4 marks)
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PiXL Club
Question 12
Diagram NOT accurately
drawn
(i)
Work out the size of angle marked x
…………………………… º
(2)
(ii)
Give a reason for your answer.
……………………………………………………………………………………………………
……………………………………………………………………………………………………
……………………………………………………………………………………………………
……………………………………………………………………………………………………
……………………………………………………………………………………………………
(1)
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PiXL Club
Diagram NOT accurately
drawn
ANB is parallel to CMD
LNM is a straight line
Angle LMD = 68º
(i)
Work out the size of angle marked y
…………………………… º
(1)
(ii)
Give a reason for your answer.
……………………………………………………………………………………………………
……………………………………………………………………………………………………
……………………………………………………………………………………………………
(2)
(Total 6 marks)
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Question 13
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PiXL Club
Question 14
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PiXL Club
Question 15
(a) (i) Work out the size of the angle marked x.
x = ............................°
(ii) Give a reason for your answer.
..............................................................................................................................................
..............................................................................................................................................
(3)
(b) (i) Work out the size of the angle marked y.
y = ............................°
(ii) Give a reason for your answer.
..............................................................................................................................................
..............................................................................................................................................
(3)
(Total 6 marks)
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PiXL Club
Question 16
(Total 3 marks)
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PiXL Club
Question 17
There are only red, yellow, orange and green sweets in a bag.
Peter recorded the colour of each sweet in the bag.
The bar chart shows some information about his results.
8 sweets were orange.
5 sweets were green.
(a) Complete the bar chart.
(2)
(b) Write down the number of red sweets.
..................................
(1)
(c) What colour sweet is the mode?
.................................
(1)
(d) Work out the total number of sweets in the bag.
.................................
(1)
(Total 5 marks)
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PiXL Club
Question 18
The scatter graph shows information about eight sheep.
It shows the height and the length of each sheep.
The table gives the height and the length of two more sheep.
Height (cm)
65
80
Length (cm)
100
110
(a) On the scatter graph, plot the information from the table.
(1)
(b) Describe the relationship between the height and the length of these sheep.
....................................................................................................................................................
(1)
The height of a sheep is 76 cm.
(c) Estimate the length of this sheep.
................................cm
(2)
(Total 4 marks)
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PiXL Club
Question 19
Here are the weights, in kg, of 7 people.
57
87
49
49
72
45
75
(a) Work out the modal weight
................................ kg
(1)
(b) Work out the range of these weights.
................................ kg
(2)
(c) Work out the mean weight.
................................ kg
(2)
(Total 5 marks)
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PiXL Club
Question 20
(Total 4 marks)
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PiXL Club
Question 21
The equation
x3 + 10x = 25
has a solution between 1 and 2
Use a trial and improvement method to find this solution
Give your answer correct to one decimal place.
You must show all your working
x = ……………………………….
(Total 4 marks)
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Question 22
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Question 23
Diagram NOT accurately
drawn
ABC is a right-angled triangle
AC = 6cm
BC = 14cm
(a) Work out the area of triangle ABC
……………………………….cm 2
(2)
(b) Calculate the length of AB
Give your answer correct to 2 decimal places
……………………………….cm
(3)
(Total 5 marks)
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PiXL Club
Question 24
(a) Factorise
x2 – 5x
………………………(2)
(b) Expand and simplify
(x + 3)(x + 4)
………………………(2)
(Total 4 marks)
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PiXL Club
Question 25
Sethina recorded the times, in minutes, taken to repair 80 car tyres.
Information about these times is shown in the table.
Time(tminutes)
Frequency
0<t6
15
6<t2
25
12 < t  18
20
18 < t  24
12
24 < t  30
8
Calculate an estimate for the mean time taken to repair each car tyre.
........................ minutes
(Total 4 marks)
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PiXL Club
Question 26
Jamie travelled 20km from his home to his friend’s house
Jamie then spent some time at his friend’s house before returning home.
Here is the travel graph for part of Jamie’s journey.
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PiXL Club
(Total 6 marks)
END OF QUESTION PAPER
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PiXL Club