Name
Class
For Edexcel GCSE
Mathematics
Paper 1A (Non-Calculator)
Foundation Tier
Time : 1 hour 45 minutes
Total Marks
You must have:
Ruler, protractor, compasses, pen, pencil, eraser.
Instructions and Information
•
•
•
•
•
•
Write your name in the box at the top of the page.
Answer all the questions in the spaces provided.
The total mark for this paper is 100.
The marks for each question are shown in brackets.
Calculators must not be used.
Questions labelled with an asterisk (*) are ones where the
quality of your written communication will be assessed.
Advice
•
•
•
•
Read each question carefully before you start to answer it.
Keep an eye on the time.
Try to answer every question.
Check your answers if you have time at the end.
Written by Shaun Armstrong
Only to be copied for use in the purchaser's school or college
2012 EFA Paper 1 Page 1
© Churchill Maths Limited
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GCSE Mathematics
Formulae: Foundation Tier
You must not write on this formulae page.
a
Area of trapezium =
1
2
(a + b)h
h
b
Volume of prism = area of cross section × length
cross
section
2012 EFA Paper 1 Page 2
© Churchill Maths Limited
th
leng
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1
The pictogram shows how many books five children read over the summer.
Abraham
Busrah
Carli
Dabir
Elsa
Key:
(a)
represents 2 books
Who read the most books?
(1)
………………………………
(b)
How many books did Carli read?
(1)
………………………………
(c)
Who read 2 more books than Elsa?
(1)
………………………………
(d)
Who read 50% more books than Carli?
(1)
………………………………
(Total for Question 1 is 4 marks)
2012 EFA Paper 1 Page 3
© Churchill Maths Limited
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2
(a)
Write the number 40 300 in words.
(1)
……………………………………………………………………………………………
(b)
Write the number six hundred and ten thousand, two hundred and five in figures.
(1)
………………………………
(c)
Work out
(i)
16 ÷ 2  6
(1)
………………………………
(ii)
37×2
(1)
………………………………
(Total for Question 2 is 4 marks)
3
(a)
Write 0.75 as a fraction.
(1)
………………………………
(b)
Write 30% as a decimal.
(1)
………………………………
(c)
Work out
1
3
of 66.
(1)
………………………………
(d)
What is 36 as a percentage of 300?
(2)
…………………………… %
(Total for Question 3 is 5 marks)
2012 EFA Paper 1 Page 4
© Churchill Maths Limited
4
(a)
What is the weight of this stone?
(1)
0
10
20
30
grams
40
…………………………… g
(b)
What is the length of this pair of scissors in centimetres?
(1)
cm
0
1
2
3
4
5
6
7
8
9
10
…………………………… cm
(c)
Write your answer to part (b) in millimetres.
(1)
………………………… mm
(Total for Question 4 is 3 marks)
2012 EFA Paper 1 Page 5
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5
p
Diagram NOT
accurately drawn
105º
q
(a)
(i)
62º
Work out the size of angle p.
(1)
p = …………………………… º
(ii)
Give a reason for your answer.
(1)
………………………………………………………………………………………
(b)
(i)
Work out the size of angle q.
(1)
q = …………………………… º
(ii)
Give reasons for your answer.
(1)
………………………………………………………………………………………
………………………………………………………………………………………
………………………………………………………………………………………
(Total for Question 5 is 4 marks)
2012 EFA Paper 1 Page 6
© Churchill Maths Limited
6
Here are 10 letters printed on plastic tiles.
A
A
B
C
C
D
D
D
E
F
The tiles are put into a bag and one is picked out at random.
(a)
Use an arrow to show the probability that the letter B will be picked.
0
(b)
(1)
0.5
1
(1)
Use an arrow to show the probability that a vowel will be picked.
0
(d)
1
Use an arrow to show the probability that the letter C will not be picked.
0
(c)
0.5
0.5
1
(1)
Describe another event with the same probability as a vowel being picked.
(1)
……………………………………………………………………………………………
……………………………………………………………………………………………
(Total for Question 6 is 4 marks)
2012 EFA Paper 1 Page 7
© Churchill Maths Limited
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7
This conversion graph can be used to change between degrees fahrenheit (ºF) and
degrees celsius (ºC).
ºC
80
60
40
20
0
40
80
120
160
ºF
–20
(a)
Use the graph to change 140 ºF into degrees celsius.
(1)
…………………………… ºC
(b)
Use the graph to change 80 ºC into degrees fahrenheit.
(1)
…………………………… ºF
(c)
Water freezes at 0 ºC.
At what temperature does water freeze in degrees fahrenheit?
(1)
…………………………… ºF
(Total for Question 7 is 3 marks)
2012 EFA Paper 1 Page 8
© Churchill Maths Limited
8
This is Mick's bank statement showing all transactions for September.
Some of the entries are missing.
Date
(a)
Description
Paid in
Paid Out
01 Sep
Opening Balance
03 Sep
Card Payment
05 Sep
Credit
06 Sep
Cashpoint
09 Sep
Card Payment
£9.00
14 Sep
Cashpoint
£30.00
17 Sep
Cheque
£23.00
22 Sep
Direct Debit
£12.50
26 Sep
Credit
Balance
£65.00
£73.00
£42.00
– £8.00
£34.00
£14.00
£185.00
Complete the missing entry for 06 Sep.
(1)
(b)
Complete the missing entries from the balance column.
(2)
Mick is charged for each day that his account is overdrawn.
He is overdrawn on the 3rd and 4th September.
He is back in credit on the 5th September.
(c)
On how many days is Mick overdrawn in total in this month?
(2)
………………………… days
(Total for Question 8 is 5 marks)
2012 EFA Paper 1 Page 9
© Churchill Maths Limited
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9
Tom owns 80 books.
3
8
1
5
of his books are about sport.
of his books are about computing.
The rest of his books are novels.
How many novels does Tom own?
………………………………
(Total for Question 9 is 3 marks)
10
Jack drives from Leeds to Edinburgh.
He leaves Leeds at 1150 and arrives in Edinburgh at 1520.
The next day his car breaks down and he gets a train back to Leeds.
The train departs at 1340 and arrives at 1635.
Work out the ratio
journey time by car : journey time by train
Give your answer in its simplest form.
………………………………
(Total for Question 10 is 3 marks)
2012 EFA Paper 1 Page 10
© Churchill Maths Limited
11
A
C
B
D
H
E
I
F
G
Nine triangles are shown on a grid of squares.
(a)
Which triangle is congruent to triangle D?
(1)
………………………………
(b)
Which triangle is similar to triangle B?
(1)
………………………………
(c)
Which triangle has the same area as triangle F?
(1)
………………………………
(Total for Question 11 is 3 marks)
2012 EFA Paper 1 Page 11
© Churchill Maths Limited
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*12 Holly is carrying out a survey about healthy eating.
This is one of the questions.
Do you agree that everyone should eat 5 pieces of fruit a day?
Tick one box
YES
(a)
NO
Write down one reason why this is not a good question.
(1)
……………………………………………………………………………………………
……………………………………………………………………………………………
This is another of the questions.
How many pieces of fruit did you eat yesterday?
Tick one box
1 to 2
(b)
3 to 4
4 or more
Write down two criticisms of the response section for this question.
(2)
First criticism …………………………………………………………………………….
……………………………………………………………………………………………
Second criticism ………………………………………………………………………….
……………………………………………………………………………………………
(Total for Question 12 is 3 marks)
2012 EFA Paper 1 Page 12
© Churchill Maths Limited
13
B
C
Diagram NOT
accurately drawn
A
D
E
In the diagram above, AB, BC, CD, DE, AE and CE are all the same length.
(a)
What type of triangle is CDE?
(1)
………………………………
(b)
What type of quadrilateral is ABCE?
(1)
………………………………
(c)
What type of angle is angle ABC?
(1)
………………………………
(d)
Work out the size of angle ABC.
(2)
……………………………. º
(Total for Question 13 is 5 marks)
2012 EFA Paper 1 Page 13
© Churchill Maths Limited
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14
Lily collects 1p, 2p and 5p coins in a jar.
One day she finds she has 73 coins in the jar.
Altogether the coins are worth £1.88
Given that she has twenty 5p coins, how many 2p coins does she have?
………………………………
(Total for Question 14 is 4 marks)
15
Use a ruler and pair of compasses to construct the bisector of this angle.
Leave in your constuction lines.
(Total for Question 15 is 2 marks)
2012 EFA Paper 1 Page 14
© Churchill Maths Limited
16
A newsagent has a promotion on cycling magazines.
Buy one of these
magazines ...
… and get one of
these for FREE
Roadzine (R)
Cyclimit (C)
Wheelz (W)
Bikestuff (B)
Saddler (S)
Gill wants to get two magazines for her son using the offer.
(a)
Complete the table below to show all her choices.
(2)
Buy
Free
R
C
Gill chooses the magazine to buy and the one for free at random.
(b)
What is the probability that she chooses Wheelz and Bikestuff ?
(1)
………………………………
(Total for Question 16 is 3 marks)
2012 EFA Paper 1 Page 15
© Churchill Maths Limited
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17
SIDE
FRONT
The diagram shows a prism.
The cross-section of the prism is a regular hexagon.
(a)
Sketch the front elevation of the prism from the direction shown.
(2)
(b)
Sketch the side elevation of the prism from the direction shown.
(2)
(Total for Question 17 is 4 marks)
2012 EFA Paper 1 Page 16
© Churchill Maths Limited
18
(a)
Complete this table of values for y = 3x – 1
x
–1
y
–4
0
1
2
(2)
(b)
On the grid, draw the line y = 3x – 1
y
5
4
3
2
1
–1 O
–1
1
2
x
–2
–3
–4
(2)
(c)
Here are the equations of three more lines.
y = 2x – 1
y = 3x  3
y = 2 – 3x
Tick the box under each equation of a line that is parallel to the line y = 3x – 1
(1)
(Total for Question 18 is 5 marks)
2012 EFA Paper 1 Page 17
© Churchill Maths Limited
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500
19
400
Price (£)
300
200
100
0
0
1000
2000
3000
4000
Number of Leaflets
5000
6000
The graph above shows the price of printing A4 colour leaflets.
(a)
What is the price for 1000 leaflets?
(1)
£ ……………………………
(b)
A company spends £380 on leaflets.
How many leaflets do they have printed?
(1)
………………………………
*(c)
Rhona is thinking of ordering 1500 leaflets.
Angela says that for an extra 50%, Rhona could get 3 times as many leaflets.
Is Angela correct?
You must show how you decided.
(3)
………………………………
(Total for Question 19 is 5 marks)
2012 EFA Paper 1 Page 18
© Churchill Maths Limited
*20 Lanika needs a sheet of card that is at least
3
10
mm thick.
At home, she finds some card but she doesn't know how thick it is.
Lanika finds that there are 45 sheets of card with a total thickness is 14 mm.
Is the card thick enough for Lanika to use?
Show how you decide.
………………………………
(Total for Question 20 is 3 marks)
21
The table shows the probability of a person being right-handed, left-handed or
ambidextrous.
Probability
Right-handed
Left-handed
Ambidextrous
0.88
3p
p
Work out the value of p.
p = ……………………………
(Total for Question 21 is 3 marks)
2012 EFA Paper 1 Page 19
© Churchill Maths Limited
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22
Here are some patterns made with dots.
Pattern 1
Pattern 2
Pattern 3
Work out how many dots there will be in Pattern 50.
Show how you obtained your answer.
………………………………
(Total for Question 22 is 4 marks)
23
T = 5(n – m)
(a)
Find the value of T when m = –3 and n = 4.
(2)
………………………………
(b)
Rearrange the formula to make n the subject.
(2)
………………………………
(Total for Question 23 is 4 marks)
2012 EFA Paper 1 Page 20
© Churchill Maths Limited
24
3m
Diagram NOT
accurately drawn
6m
2m
8m
Mr. Tait wishes to have decking over the region of his garden shown above.
The cost will be £50 per square metre.
Work out the total cost.
£ ……………………………
(Total for Question 24 is 5 marks)
2012 EFA Paper 1 Page 21
© Churchill Maths Limited
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25
Ghadah runs an online store.
She bought 30 decorative mirrors for £15 each.
Ghadah sold 16 of the mirrors on her website for £25 each.
She then reduced the price by £5 and sold 12 more mirrors.
She sold the last two mirrors on an online auction site for £16.50 and £9.20
Work out how much profit Ghadah made on the mirrors.
£ ……………………………
(Total for Question 25 is 5 marks)
2012 EFA Paper 1 Page 22
© Churchill Maths Limited
26
y
5
4
3
2
A
–6
–5
–4
–3
1
–2
–1
O
–1
1
2
3
4
5
6
7
8 x
–2
–3
–4
–5
Triangle A is shown on the grid.
(a)
Reflect triangle A in the x-axis.
Label the image B.
(2)
(b)
Translate triangle A using the vector
61 .
Label the image C.
(2)
(Total for Question 26 is 4 marks)
TOTAL FOR PAPER IS 100 MARKS
2012 EFA Paper 1 Page 23
© Churchill Maths Limited
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