Specimen Paper Set 1 Common questions

Pearson Edexcel Level 1/Level 2
GCSE (9 − 1)
Mathematics
Paper 1 (Non-calculator)
Common questions: Foundation/Higher tier
Specimen Paper Set 1
Paper Reference
1MA1/1F - 1H
You must have:
Ruler graduated in centimetres and millimetres, protractor, pair of
compasses, pen, HB pencil, eraser.
Instructions
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Use black ink or ball-point pen.
Fill in the boxes at the top of this page with your name,
centre number and candidate number.
Answer all questions.
Answer the questions in the spaces provided
– there may be more space than you need.
Calculators must not be used.
Diagrams are NOT accurately drawn, unless otherwise indicated.
You must show all your working out.
Information
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The total mark for this paper is 80
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
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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.
1
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
20/1 The diagram shows a right-angled triangle.
All the angles are in degrees.
Work out the size of the smallest angle of the triangle.
.........................................°
(Total for Question 20 is 3 marks)
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2
21/2 A box exerts a force of 140 newtons on a table.
The pressure on the table is 35 newtons/m2.
F
A
p= pressure
P
Calculate the area of the box that is in contact with the table.
F = force
A = area
.........................................
(Total for Question 21 is 3 marks)
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22/3 There are only red counters, blue counters, green counters and yellow counters in a bag.
The table shows the probabilities of picking at random a red counter and picking at
random a yellow counter.
Colour
red
Probability
0.24
blue
green
yellow
0.32
The probability of picking a blue counter is the same as the probability of picking a green
counter.
Complete the table.
(Total for Question 22 is 2 marks)
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3
23/4 A pattern is made using identical rectangular tiles.
Find the total area of the pattern.
......................................... cm2
(Total for Question 23 is 4 marks)
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4
24/5 The diagram shows a sand pit.
The sand pit is in the shape of a cuboid.
Sally wants to fill the sand pit with sand.
A bag of sand costs £2.50.
There are 8 litres of sand in each bag.
Sally says,
“The sand will cost less than £70.”
Show that Sally is wrong.
(Total for Question 24 is 5 marks)
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5
25/6
Four friends each throw a biased coin a number of times.
The table shows the number of heads and the number of tails each friend got.
Ben
Helen
Paul
Sharif
heads
34
66
80
120
tails
8
12
40
40
The coin is to be thrown one more time.
(a) Which of the four friends’ results will give the best estimate for the probability that
the coin will land heads?
Justify your answer.
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(1)
Paul says,
“With this coin you are twice as likely to get heads as to get tails.”
(b) Is Paul correct?
Justify your answer.
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(2)
The coin is to be thrown twice.
(c) Use all the results in the table to work out an estimate for the probability that the coin
will land heads both times.
.........................................
(2)
(Total for Question 25 is 5 marks)
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6
26/7 (a) Write down the exact value of cos30°
.........................................
(1)
(b)
Given that sin30° = 0.5,
work out the value of x.
.........................................
(2)
(Total for Question 26 is 3 marks)
7
Question
20/1
21/2
Answer
Notes
42
P1
P1
A1
process to start problem solving eg forms an appropriate equation
complete process to solve equation
cao
4 m2
C1
substitution into formula eg 35 
A1
C1
4 (oe) stated
(indep) units stated eg m2
140
A
22/3
0.22
P1
A1
begins process of subtraction of probabilities from 1
oe
23/4
48
P1
C1
P1
A1
begins to work with rectangle dimensions
eg l+w=7 or 2×l+w (=11)
shows a result for a dimension eg using l=4 or w=3
begins process of finding total area eg 4 × “3” × “4”
cao
M1
M1
M1
M1
C1
works with volume eg 240000
uses conversion 1 litre = 1000 cm3
uses 8000 eg vol ÷ 8000 (=30)
uses “30” eg “30” × 2.50
for explanation and 75 stated
explanation
24/5
OR
25/6 (a)
(b)
(c)
M1
M1
M1
M1
C1
begins working back eg 70÷2.50
uses conversion 1 litre = 1000 cm3
uses 8000 eg “28”× 8000 (=224000)
works with vol. eg 224000
for explanation with 240000 and 224000
Sharif
Decision
(supported)
B1
P1
A1
9
16
P1
Sharif with mention of greatest total throws
starts working with proportions
Conclusion: correct for Paul, but not for the rest; or ref to just
Paul’s results
selects Sharif or overall and multiplies P(heads)×P(heads) eg ¾ ×
¾
oe
A1
26/7 (a)
(b)
3
2
B1
6
M1
starts process eg sin 30 
A1
answer given
x
12
8