Sets 10.3, 10.4 & 10.5
End-of-Year Exams
Practice Test
Paper 1F (Non-calculator)
Time: 1 hour 30 minutes
You should have: Ruler graduated in centimetres and millimetres,
protractor, pair of compasses, pen, HB pencil, eraser.
Instructions







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


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




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.
1MA1 Practice Papers: Set 2 Regular (1F) – Version 1.0
This publication may only be reproduced in accordance with Pearson Education Limited copyright policy.
©2016 Pearson Education Limited.
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1.
Change 7800 grams into kilograms.
…………………kilograms
(Total 1 mark)
___________________________________________________________________________
2.
Write 0.07 as a percentage
…………………%
(Total 1 mark)
___________________________________________________________________________
3.
Write 7.8365 correct to 2 decimal places.
…………………
(Total 1 mark)
___________________________________________________________________________
4.
Work out (−5)2
…………………
(Total 1 mark)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
2
5.
Here is a Venn diagram.
(a) Write down all the numbers in set A.
............................................................................................
(2)
(b) Write down the numbers that are in set A ∩ B.
............................................................................................
(1)
(Total 3 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
3
6.
Here are four digits.
8
2
4
3
(a) (i) Use two of these digits to make the smallest possible two-digit number.
..........................................
(ii) Use three of these digits to make the three-digit number closest to 300.
..........................................
(2)
Here are four different digits.
5
1 7
9
(b) (i) Put one digit in each box to make the largest total.
You may only use each digit once.
+
(ii) Write down the total.
..........................................
(2)
(Total 4 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
4
7.
(a) Write down the coordinates of point A.
(........................... , ...........................)
(1)
(b) On the grid, mark with a cross (×) the point (–3, 0).
Label this point B.
(1)
(Total 2 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
5
8.
Here are some patterns made from squares.
(a) The diagram below shows part of Pattern number 4
Complete the diagram for Pattern number 4
(1)
(b) Complete the table.
Pattern number
1
2
3
Number of squares
5
9
13
4
5
(1)
(c) Find the number of squares used for Pattern number 10
..................................
(1)
(Total 3 marks)
___________________________________________________________________________
9.
Two numbers are added together.
The answer is 15
Both the numbers are factors of 24
What are the two numbers?
.............................................. and ..............................................
(Total 2 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
6
10.
Make an accurate drawing of an equilateral triangle of side length 5 cm.
(Total 2 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
7
11.
Here are three calculations.
Which of these calculations has the biggest answer?
You must show how you got your answer.
(Total 3 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
8
12.
Here is a bus timetable from a Park and Ride car park to a town centre.
Car park
Town centre
07 40
07 52
08 00
08 12
08 15
08 27
then every 15 minutes until
18 15
18 27
Sadia gets to the car park at 07 45.
She catches the next bus to the town centre.
(a) What time should the bus get to the town centre?
..............................
(1)
Here is the bus timetable from the town centre to the car park.
Town centre
Car park
08 03
08 15
08 35
08 47
09 02
09 14
09 20
09 32
then every 15 minutes until
19 20
19 32
(b) How many buses go from the town centre to the car park between 08 00 and 10 00?
..............................
(2)
Paul wants to leave the town centre after 17 30.
He is going to catch a bus to the car park.
(c) What is the time of the first bus Paul can catch from the town centre after 17 30?
..............................
(1)
(Total 4 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
9
13.
A charity made an appeal for money.
The charity put the information shown below on a poster.
Hunger appeal
• £3 will buy 5 meals for one person.
• £100 will buy lunches for 80 school children for 5 days.
£3 will buy 5 meals for one person.
(a) Work out the cost of one of the meals.
Give your answer in pence.
.......................................... p
(2)
£100 will buy lunches for 80 school children for 5 days.
(b) Work out the cost of buying lunch for one school child for one day.
..........................................
(3)
(Total 5 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
10
14.
A, B, C and D are points on a straight line.
AD = 20 cm
AB = 8.6 cm
BC = CD
Work out the length of BC.
......................................... cm
(Total 3 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
11
15.
Meela has a fair 6-sided spinner.
The sides of the spinner are numbered 2, 2, 2, 3, 3, 5.
Meela spins the spinner once.
(a) Which number is the spinner least likely to land on?
..........................................
(1)
(b) From the following list, choose the word that best describes the likelihood that the
spinner will land on 2.
impossible
unlikely
evens
likely
certain
..........................................
(1)
(c) Write down the probability that the spinner will land on 3.
..........................................
(2)
(Total 4 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
12
16.
Tom is going to buy 25 plants to make a hedge.
Here is information about the cost of buying the plants.
Tom wants to buy the 25 plants as cheaply as possible.
Should Tom buy the plants from Kirsty’s Plants or from Hedge World?
You must show all your working.
(Total 5 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
13
17.
You can use this conversion graph to change between pounds (£) and dollars ($).
(a) Use the conversion graph to change £5 to dollars.
$ ....................................
(1)
Ella has $200 and £800
Her hotel bill is $600
Ella pays the bill with the $200 and some of the pounds.
(b) Use the conversion graph to work out how many pounds she has left.
£ ....................................
(4)
(Total 5 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
14
18.
A pack of 9 toilet rolls costs £4.23
A pack of 4 toilet rolls costs £1.96
Which pack gives the better value for money?
You must show all your working.
............................................................
(Total 3 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
15
19.
Dylan is driving from London to Newcastle.
He will drive a total distance of 240 miles.
Dylan leaves London at 09:30
It takes him 1
1
hours to travel the first 90 miles.
2
(a) Use this information to estimate the time Dylan will arrive in Newcastle.
You must show how you get your answer.
..............................
(3)
(b) Write down one assumption you made in your answer to part (a).
If your assumption is wrong, how would this affect your answer to part (a)?
………………………………………………....…………………………………………..
..……………………………………………………………………………………………
(1)
(Total 4 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
16
20.
Describe fully the single transformation that maps shape P onto shape Q.
......................................................................................................................................................
......................................................................................................................................................
(Total 3 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
17
21.
The diagram shows the cross-section of a solid prism.
The length of the prism is 2 m.
The prism is made from metal.
The density of the metal is 8 grams per cm3.
Work out the mass of the prism.
.....................................
(Total 5 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
18
22.
(a) On the grid, draw the graph of y = 3x + 5 for values of x from –2 to 3
(3)
(b) Explain why the point (6, 24) does not lie on the line y = 3x + 5
(2)
(Total 5 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
19
23.
Ramesh throws a biased coin.
The probability that the coin will land on a Head is 0.37
(a) Write down the probability that the coin will land on a Tail.
..............................................
(1)
Ramesh is going to throw the coin 500 times.
(b) Work out an estimate for the number of times that the coin will land on a Head.
..............................................
(2)
(Total 3 marks)
___________________________________________________________________________
24.
Arwen buys a car for £4000
The value of the car depreciates by 10% each year.
Work out the value of the car after two years.
£ ...................................
(Total 3 marks)
___________________________________________________________________________
1MA1 practice paper 1F (Set 2): Version 1.0
20
25.
Write the following numbers in order of size.
Start with the smallest number.
0.038 × 102
3800 × 10–4
380
0.38 × 10–1
......................................................................................................................................................
(Total 2 marks)
___________________________________________________________________________
26.
There are 18 packets of sweets and 12 boxes of sweets in a carton.
The mean number of sweets in all the 30 packets and boxes is 14.
The mean number of sweets in the 18 packets is 10.
Work out the mean number of sweets in the boxes.
.........................................
(Total 3 marks)
TOTAL FOR PAPER IS 80 MARKS
1MA1 practice paper 1F (Set 2): Version 1.0
21
Question
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
1.
7.8
B1
cao
2.
7
B1
cao
3.
7.84
B1
cao
4.
25
B1
cao
2, 3, 6, 7, 8
2
5.
(a)
B2 for 2, 3, 6, 7, 8
(B1 for any 3 or 4 correct, no extras or 2, 3, 6, 7, 8 seen with at
most one extra)
6.
(b)
3,8
1
B1 cao
(a)(i)
23
2
B1 cao
284
(ii)
(b(i)
71 + 95 or 91 + 75
B1 cao
2
166
B1ft for the sum of their two numbers given provided they used
only the digits 5, 1, 7 and 9 exactly once each
(ii)
7.
B1 for showing addition of 71 and 95 or 91 and 75
(a)
(4, 2)
1
B1 cao
(b)
(−3, 0) plotted
1
B1 cao
1MA1 Practice Papers: Set 2 Regular (1F) – Version 1.0
This publication may only be reproduced in accordance with Pearson Education Limited copyright policy.
©2016 Pearson Education Limited.
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
Question
8.
(a)
Correct diagram
1
B1 for correct diagram, accept squares drawn at either end
shaded or unshaded. Ignore internal lines.
(b)
17, 21
1
B1 cao
(c)
41
1
B1 cao
3 and 12
2
M1 for using two numbers that are both factors of 24 or
using two numbers that sum to 15 and one is a factor of 24
9.
A1 for 12 and 3
Triangle drawn
10.
2
M1 for a triangle with at least one side of length 5 cm (± 0.2) or
at least one angle 60° (±2°)
A1 for a correct triangle
11.
14 + 19 = 33
57 – 29 = 28 (or -28)
the product of
9 and 4 has the
greatest value
3
M1 for evidence of one correct operation
e.g. 14 + 19 or 33 OR 57 – 29 or 28 or 29 – 57 or –28
OR 9 × 4 or 36
A1 33, 28 (or –28) and 36
9 × 4 = 36
C1 (dep on M1) ft for a statement identifying the correct
calculation (not the biggest answer) from three calculated
values
1MA1 practice paper 1F (Set 2): Version 1.0
23
Question
12.
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
(a)
08 12
1
B1 cao
(b)
6
2
M1 for evidence of counting on 15 minutes from 09 20, could
be shown with table
A1 cao
13.
(c)
17 35
1
B1 cao
(a)
60
2
M1 for 300 ÷ 5 or 3 ÷ 5 (or equivalent)
A1 cao
(b)
25p or £0.25
3
M1 for 100 ÷ 5 (= 20)
M1 for “20” ÷ 80 or “20” × 100 ÷ 80
A1 for 25p or £0.25
OR
M1 for 80 × 5 (= 400)
M1 for 100 ÷ “400” or 100 × 100 ÷ “400”
A1 for 25p or £0.25
1MA1 practice paper 1F (Set 2): Version 1.0
24
Question
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
OR
M1 for 100 ÷ 80 (= 1.25)
M1 for “1.25” ÷ 5 or “1.25” × 100 ÷ 5
5.7
14.
3
A1 for 25p or £0.25
M1 for 20 − 8.6 (=11.4)
M1 for
'11.4' ÷ 2
A1 cao
or
M1 for 2x + 8.6 = 20 (or equivalent)
M1 for clear intention to subtract 8.6 from each side
A1 cao
15.
(a)
5
1
B1 cao
(b)
evens
1
B1 cao
(c)
2
6
2
1MA1 practice paper 1F (Set 2): Version 1.0
25
M1 for
a
2
where a < 6 or where b > 2
6
b
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
2
A1 for (or equivalent)
6
Question
16.
Kirsty’s Plants
with correct
calculations
1195
4780 +
5975
5
M1 (dep) for addition of all the appropriate elements of the
calculation or digits 5975
2
3
9
0 4 0 6 1 8 2
5 1 0 1 5 4 5 5
9
7
5
200
20 4000
5 1000
30
600
150
M1 for complete method with relative place value correct.
Condone 1 multiplication error, addition not necessary.
M1 for a complete method to find 120% of £52.50
A1 for 59.75 and 63(.00)
C1 (dep on M2) for correct conclusion for their figures
9
180
45
OR
M1 for the start of a method to divide £52.50 by 25, eg 2 rem 2
4000 + 1000 + 600 + 150
+ 180 + 45 = 5975
M1 for a complete method to divide £52.50 by 25, condone one
arithmetic error, or digits 21
M1 for a complete method to find 120% of ‘£2.10’
1MA1 practice paper 1F (Set 2): Version 1.0
26
Question
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
A1 for 2.52
C1 (dep on M2) for correct conclusion for their figures
OR
M1 for a complete method to find 120% of £52.50
M1 for the start of a method to divide ‘63’ by 25, e.g.. 2 rem 13
M1 for a complete method to divide ‘63’ by 25, condone one
arithmetic error, or digits 252
A1 for 2.52
17.
(a)
8
1
C1 (dep on M2) for correct conclusion for their figures
B1 for 8 (.00)
(b)
550
4
M1 for 600 – 200 ( = 400)
M1 for correct method to convert ‘$400’ to £
M1 (dep on the previous M1) for 800 – ‘$400’ in £s
A1 for value in the range 540 –560
OR
M1 for correct method to convert $600 and $200 to pounds
M1 for ‘375’–‘125’
1MA1 practice paper 1F (Set 2): Version 1.0
27
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
Question
M1 (dep on the previous M1) 800 –‘250’
A1 for a value in the range 540-560
OR
M1 for correct method to convert £800 to dollars
M1 for ‘1280’ + 200 – 600
M1 (dep on the previous M1) for attempt to convert ‘$880’
back to £
A1 for value in the range 540 – 560
18.
1.96 × 2.25 = 4.41
OR
4.23 ÷ 9 = 0.47
1.96 ÷ 4 = 0.49
M2 for a fully correct method to enable a conclusion
eg 1.96 × 2¼
OR
M1 for 4.23 ÷ 9 or 423 ÷ 9 or 0.47 seen or 47 seen
M1 for 1.96 ÷ 4 or 196 ÷ 4 or 0.49 seen or 49 seen
OR
4.23 × 4 = 16.92
1.96 × 9 = 17.64
OR
M1 for 4.23 × 4 or 423 × 4 or 16.92 seen or 1692 seen
M1 for 1.96 × 9 or 196 × 9 or 17.64 seen or 1764 seen
OR
4.23 ÷ 9 = 0.47
0.47 × 4 = 1.88
OR
M1 for 4.23 ÷ 9 or 423 ÷ 9 or 0.47 seen or 47 seen
M1 for 0.47 × 4 or 47 × 4 or 1.88 seen or 188 seen
1MA1 practice paper 1F (Set 2): Version 1.0
Pack of 9
3
28
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
Question
OR
1.96 ÷ 4 = 0.49
0.49 × 9 = 4.41
OR
M1 for 1.96 ÷ 4 or 196 ÷ 4 or 0.49 seen or 49 seen
M1 for 0.49 × 9 or 49 × 9 or 4.41 seen or 441 seen
OR
9 ÷ 4.23
4 ÷ 1.96
OR
M1 for 9 ÷ 4.23
M1 for 4 ÷ 1.96
= 2.12
= 2.04
or
or
2.12(...) seen
2.04(...) seen
or 2.13 seen
A1 for Pack of 9 and fully correct calculations
NOTE: B0 for an answer of 9 not supported by working.
19.
(a)
(b)
1
M1 90 ÷ 1.5 (=60)
1
M1 240 ÷ 60 (= 4 hours)
13:30
1
A1
Assumption and
affect
1
C1 e.g. assumed constant speed – if not constant than could
arrive earlier or later. Assumed no stops – if stop then will
arrive later
B1 for rotation
Rotation
Centre (0,0)
90 clockwise
20.
3
B1 for 90° clockwise or 270 anticlockwise
B1 for (0, 0) or O or origin
NB: a combination of transformations gets B0
21.
(7 × 2 + 2 × 5) × 200 =
1MA1 practice paper 1F (Set 2): Version 1.0
38 400 g
5
29
M1 for 7 × 2 or 2 × 5 or 7 × 7 or 5 × 5 or 2 × 2
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
Question
4800
M1 for ‘7 × 2’ + ‘2 × 5’ (or equivalent) or ‘7 × 7’ – ‘5 × 5’
4800 × 8
M1(dep on first M) for '24' × 200 or '0.0024' × 2
M1 for '4800' × 8 or '0.0048' × 8 000 000 or ‘0.0048’ × 8000
A1 for 38 400g or 38.4kg
(SC B3 for any answer including digits 384)
22.
(a)
y = 3x + 5
x –2 –1 0 1 2 3
y –1 2 5 8 11 14
Correct line
from (–2, –1)
to (3, 14)
3
(Table of values / calculation of values)
M1 for at least 2 correct attempts to find points by substituting
values of x.
M1 ft for plotting at least 2 of their points (any points plotted
from their table must be correctly plotted)
1MA1 practice paper 1F (Set 2): Version 1.0
30
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
Question
A1 for correct line between x = –2 and x = 3
(No table of values)
M1 for at least 2 correct points with no more than 2 incorrect
points
M1 for at least 2 correct points (and no incorrect points) plotted
OR line segment of y = 3x + 5 drawn
A1 for correct line between x = –2 and x = 3
(Use of y = mx + c)
M1 for line drawn with gradient of 3
OR line drawn with a y intercept of 5
M1 for line drawn with gradient of 3
AND line drawn with a y intercept of 5
A1 for correct line between x = –2 and x = 3
SC : B2 for the correct line from x = 0 to x = 3
(b)
3 × 6 + 5 = 18 + 5
Correct
explanation
2
M1 3 × 6 + 5 or “18” + 5 or (6, 23)
Or
C1 for 23 seen and correct conclusion
24 – 5 = 19
or
1MA1 practice paper 1F (Set 2): Version 1.0
31
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
Question
M1 24 – 5 or “19” ÷ 3
19 ÷ 3
C1 for
23.
19
(or equivalent) or 6.3... seen and correct conclusion
3
(a)
1 – 0.37
0.63
1
B1 for 0.63 (or equivalent)
(b)
0.37 × 500
185
2
M1 for 0.37 × 500
A1 cao
SC B1 for 200
24.
4000 − (
10
 4000) =
100
3240
3
3600
1MA1 practice paper 1F (Set 2): Version 1.0
32
10
or 0.9×4000 (or equivalent)
100
or 3600 or 400 or 3200 or 800 seen
M1 for 4000 −
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
Question
3600 – (
10
 3600)
100
M1 (dep) 10 "3600" –
10
 "3600" or “3600”× 0.9 (or
100
equivalent)
A1 cao
or
M2 for 29.04000 × 0.92
(M1 for 4000 × 0.93)
A1 cao
[SC: B2 for an answer of £4840, with or without working]
25.
0.38 × 10−1, 3800 × 10−4,
0.038 × 102, 380
Correct order
2
M1 changing any one correctly or at least 3 in the correct
order (ignoring one) or reverse order
A1
26.
1MA1 practice paper 1F (Set 2): Version 1.0
48
5
33
for correct order (accept any form)
M1 for 8 – 2 (= 6)
Question
1MA1 Practice papers Set 2: Paper 1F (Regular) mark scheme – Version 1.0
Working
Answer
Mark
Notes
M1 (indep) for x2 + 82 (provided x ≤ 8)
M1 (dep on previous M1) for (x2 + 82) or 100
M1 (dep on M2) for 4 × 2 + 4 × "10"
A1 cao
1MA1 practice paper 1F (Set 2): Version 1.0
34