Download 09 AO3 Practice Paper 1F Plus Mark Scheme

AO3 Practice Papers
Foundation Tier
1 hour 10 minutes
1MA0 / 1F
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.
Information
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There are 19 questions on this paper; the total mark is 66
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
All 19 questions are AO3 only.
Advice
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
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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.
AO3 Practice Papers – 1MA0/1F
GCSE Mathematics (Linear) 1MA0
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 =
1
2
(a + b)h
Volume of prism = area of cross section × length
2
AO3 Practice Papers – 1MA0/1F
Answer ALL NINETEEN questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
You must NOT use a calculator.
1.
Mary buys three tickets for a theatre show.
Each ticket costs £50.
Mary also has to pay a booking fee.
The booking fee is £2.50 per ticket.
Work out the total amount Mary has to pay.
£..........................................
(Total for Question 1 is 3 marks)
___________________________________________________________________________
2.
Jessica thinks of a number.
She multiplies the number by 3.
She then subtracts 7.
Her answer is 5.
What number did Jessica think of?
..........................................
(Total for Question 2 is 2 marks)
___________________________________________________________________________
3
AO3 Practice Papers – 1MA0/1F
*3.
Becky wants to buy a table and six chairs.
Three shops sell the same types of tables and chairs.
Becky wants to buy the table and six chairs from the same shop.
She wants to pay the lowest total price.
Which shop should Becky buy the table and six chairs from?
You must show all your working.
(Total for Question 3 is 4 marks)
___________________________________________________________________________
4
AO3 Practice Papers – 1MA0/1F
4.
Miss Martins is organising a school play.
The total cost of putting on the play is £960.
The school pays £300 of this cost.
Miss Martins sells tickets to pay the rest of the cost.
Miss Martins sells 500 tickets.
Each ticket costs £4.
Miss Martins has enough money to pay the rest of the costs and to give all the money left
over to charity.
Work out how much money Miss Martins gives to charity.
£..........................................
(Total for Question 4 is 4 marks)
___________________________________________________________________________
5
AO3 Practice Papers – 1MA0/1F
*5.
An ice cream van has this price list.
Price List
Choc Ice
£1.25
Tub
£1.15
Cone
85p
Mitch only has these three coins.
He has no other money.
Mitch wants to buy a choc ice, a tub and 2 cones.
Has Mitch got enough money?
You must show your working.
(Total for Question 5 is 3 marks)
___________________________________________________________________________
6
AO3 Practice Papers – 1MA0/1F
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 for Question 6 is 4 marks)
___________________________________________________________________________
7
AO3 Practice Papers – 1MA0/1F
7.
Here is a list of numbers.
1
2
4
5
7
11
13
14
15
17
From the list, write down three different prime numbers that add together to make 20
................................. ................................. .................................
(Total for Question 7 is 3 marks)
___________________________________________________________________________
8
AO3 Practice Papers – 1MA0/1F
8.
A petrol tank holds 48 litres of petrol when it is full.
The scale shows information about how much petrol there is in the petrol tank.
(a) Work out the number of litres of petrol in the petrol tank.
.......................................... litres
(2)
The total weight of three boxes is shown on this weighing scale.
Each box has the same weight.
(b) Work out the weight of a box.
.......................................... grams
(3)
(Total for Question 8 is 5 marks)
___________________________________________________________________________
9
AO3 Practice Papers – 1MA0/1F
9.
Daniel buys
one loaf of bread costing £1.18
one tub of spread costing 94p
two jars of strawberry jam.
Daniel pays with a £5 note.
He gets 30p change.
Work out the cost of one jar of strawberry jam.
£ ..............................................
(Total for Question 9 is 3 marks)
___________________________________________________________________________
10
AO3 Practice Papers – 1MA0/1F
10.
The diagram shows a rectangle and a square.
The perimeter of the rectangle is the same as the perimeter of the square.
Work out the length of one side of the square.
.............................................. cm
(Total for Question 10 is 4 marks)
___________________________________________________________________________
11
AO3 Practice Papers – 1MA0/1F
11.
A ticket for a seat at a school play costs £2.95.
There are 21 rows of seats.
There are 39 seats in each row.
The school will sell all the tickets.
Work out an estimate for the total money the school will get.
£..............................................
(Total for Question 11 is 3 marks)
___________________________________________________________________________
12
AO3 Practice Papers – 1MA0/1F
12.
Here are five cards.
There is a whole number from 0 to 9 on each card.
The number on the last card is hidden.
The range of the five numbers is 6.
(a) Write down the whole number on the last card.
..........................................
(1)
Here is a different set of five cards.
There is a different whole number from 0 to 9 on each card.
The number on the last card is hidden.
The median of the numbers on the five cards is 4.
(b) Which whole numbers could be on the last card?
..........................................
(2)
(Total for Question 12 is 3 marks)
___________________________________________________________________________
13
AO3 Practice Papers – 1MA0/1F
13.
Mr Brown and his 2 children are going to London by train.
An adult ticket costs £24.
A child ticket costs £12.
Mr Brown has a Family Railcard.
Family Railcard gives
1
off adult tickets
3
60% off child tickets
Work out the total cost of the tickets when Mr Brown uses his Family Railcard.
£..........................................
(Total for Question 13 is 4 marks)
___________________________________________________________________________
14
AO3 Practice Papers – 1MA0/1F
*14.
Work out the value of y.
Give reasons for your answer.
(Total for Question 14 is 4 marks)
___________________________________________________________________________
15
AO3 Practice Papers – 1MA0/1F
*15.
Triangle ABC is a right-angled triangle.
ADB is a straight line.
DA = DC
Angle BCD = 20°
Work out the size of the angle marked x.
You must give reasons for each stage of your working.
(Total for Question 15 is 4 marks)
___________________________________________________________________________
16
AO3 Practice Papers – 1MA0/1F
16.
Harry is going to plant some bean plants in his garden.
The garden is in the shape of a rectangle 3 metres by 2 metres.
Harry will plant the first bean plant 20 cm from the edges of the garden, as shown in the
diagram.
Harry will plant the bean plants in rows.
In each row, the space between plants will be 20 cm.
The space between rows will be 20 cm.
Work out the greatest number of bean plants harry can plant in this garden.
..........................................
(Total for Question 16 is 4 marks)
___________________________________________________________________________
17
AO3 Practice Papers – 1MA0/1F
17.
The front elevation and the side elevation of a cuboid are drawn on the grid.
On the grid, draw the plan of the cuboid.
(Total for Question 17 is 2 marks)
___________________________________________________________________________
18
AO3 Practice Papers – 1MA0/1F
18.
Here is a map.
The map shows two towns, Burford and Hightown.
Scale: 1 cm represents 10 km
A company is going to build a warehouse.
The warehouse will be less than 30 km from Burford and less than 50 km from Hightown.
Shade the region on the map where the company can build the warehouse.
(Total for Question 18 is 3 marks)
___________________________________________________________________________
19
AO3 Practice Papers – 1MA0/1F
19.
Here is a scale drawing of a rectangular garden ABCD.
Scale: 1 cm represents 1 metre.
Jane wants to plant a tree in the garden
at least 5m from point C,
nearer to AB than to AD
and less than 3m from DC.
On the diagram, shade the region where Jane can plant the tree.
(Total for Question 19 is 4 marks)
___________________________________________________________________________
TOTAL FOR PAPER IS 66 MARKS
20
AO3 Practice Papers – 1MA0/1F
1MA0/1F – AO3 Practice Paper
Question
1
Working
Answer
157.50
Mark
3
Notes
M1 50 × 3 (=150) or 2.5 × 3 (=7.5) or 50 + 2.5 (=52.5)
M1 “150” + “7.50” or 3 × “52.5” oe (=157.5)
A1 cao
SC B1 for final answer of 152.5(0) if M0 awarded
2
*3
Tables-R-Us
120 + (120 + 2 × 40) = 320
4
2
M1 for correct order of operations +7 then ÷3
A1 cao
OR
M1 for forming the equation 3x – 7 = 5 and showing intention to add 7
to both sides or divide each term by 3 as a first step
A1 cao
NB Embedded solutions get M1 mark provided the equation or working
is complete.
Fred's Furniture
with working
4
M1 for correct method to find total cost of chairs (and table)
for at least one shop
M1 for correct method to find total cost of chairs (and table)
for at least two shops
A1 for 3 comparable totals (eg. chairs £200, £192, £210
or table and chairs £320, £312, £330)
C1 (dep on M1) ft for correct statement with shop name from
comparable figures
1340
4
M1 for 500 × 4 (= 2000)
Fred's Furniture
120 + (32 × 6) = 312
Tables 'n Chairs
120 + (3 × 70) = 330
4
M1 for 960 – 300 (= 660) or “2000” + 300 (= 2300)
or “2000” – 960 (= 1040)
M1 (dep on M2) for a fully correct method
eg “2000” – “660” or “2300” – “960” or “1040” + 300
A1 cao
AO3 Practice Papers – 1MA0/1F
1MA0/1F – AO3 Practice Paper
Question
*5
Working
Answer
No and eg. £4.10,
£4
or 10p
Mark
3
Notes
M1 for adding at least 3 of 1.25, 1.15, 85, 85
A1 for 4.1(0) or 410
C1 ft (dep on M1) for correct statement comparing £4 and their total
(units must be given and correct) or for correct statement referring to
difference
eg. 10p short (units must be given and correct)
OR
M1 for finding at least one difference between coins and costs
eg 2 – 0.85 – 0.85 or 1.15 – 1 or 1.25 – 1
A1 for 0.10 or 10
C1 ft (dep on M1) for correct statement referring to total difference
units (must be given and correct)
(SC : B1 for correct figures with no working eg. £4.10 and £4 or 10p)
6
(a)(i)
23
(ii)
284
(b)(i)
(ii)
7
71+95 or 91+75
2
B1 cao
2
166
3 primes that total
20
B1 for showing addition of 71 and 95 or 91 and 75
B1ft for the sum of their two numbers given provided they used only
the digits 5, 1, 7 and 9 exactly once each
3
22
AO3 Practice Papers – 1MA0/1F
B1 cao
M1 for identifying at least 2 different prime numbers from the list,
could indicate on the list (not more than one incorrect)
M1 for any 3 numbers from the list that total 20
A1 for 2, 7, 11 or 2, 5, 13 or both (in any order)
1MA0/1F – AO3 Practice Paper
Question
8
(a)
Working
(b)
9
£1.18 + 94p = £2.12
Answer
12
Mark
2
250
3
B1 for 750
M1 for “750” ÷ 3 oe
A1 cao
1.29
3
M2 for (5 – 1.18 – 0.94 – 0.30) ÷ 2 oe
£5 – £2.12 – 30p
= £2.58
2 + 8 + 2 + 8 = 20
20 ÷ 4 =
M1 for 48 ÷ 4 or 48 × oe
A1 cao
(M1 for 1.18 + 0.94
or
or 1.18 + 0.94 + 0.30 oe
or
or 5 – 1.18 – 0.94 oe
or
or (5 – 1.18 – 0.94) ÷ 2
or
or 5 – 1.18 – 0.94 – 0.30 oe or
A1 cao
NOTE: Accept working in £ or pence
£2.58 ÷ 2 =
10
Notes
5
4
2400
3
2.12
2.42
2.88
1.44
2.58
seen
seen
seen
seen
seen )
M2 for 2 + 8 + 2 + 8 oe or 20 seen or (2 + 8) ÷ 2 oe
(M1 for the sum of 3 sides of the rectangle)
M1 (dep) for the sum of 3 or 4 sides of the rectangle ÷ 4
or an attempt to evaluate (2 + 8) ÷ 2 oe to get the length
of one side
A1 cao
SC: B1 for an answer of 4 coming from
11
or digits 129
2  8 oe
B1 for one of 20, 40, 3 or 300
M1 for “20”ד40”ד3” or “20”ד40”×"300") (values do not need to be
rounded)
A1 for answer in range 2280 − 2520
SC : Award B3 for an answer of 2400 if no working seen
NB. An answer of 2416.05 implies B0 M1 A1
23
AO3 Practice Papers – 1MA0/1F
1MA0/1F – AO3 Practice Paper
Question
12
(a)
Working
(b)
13
*14
360 – 200 – 90 (=70)
(180 – ‘70’) ÷2
angles at a point add to 360o,
angles in a triangle add to 180o,
base angles of an isosceles
triangle are equal
Answer
2
Mark
1
0,1,2
2
M1 for any two of 0, 1, 2 correct with no extras
or for showing 3,4,6,7 as consecutive numbers in an ordered list
(ignore numbers before or after 3,4,6,7 and allow an extra 4 written
within the list 3,4,4,6,7).
A1 fully correct answer in any order
25.60
4
M1 for a correct method to find of 24 (=8) or of 24 (=16)
M1 for a correct method to find 60% (= 7.2) or 40% (= 4.8) of 12 or
60% (= 14.4) or 40% (= 9.6) of 24
M1 (dep on at least M1) for a method to find the sum of their
discounted adult ticket + 2 × their discounted child ticket
A1 25.6(0)
y = 55
reasons
4
M1 for 360 – 200 – 90 oe
M1 for (180 – ‘70’) ÷ 2
Reasons: angles at a point add up to 360°
angles in a triangle add up to 180°
base angles of an isosceles triangle are equal
C2 for y = 55° and all correct reasons
Note: An answer of 55o alone, is not enough; y = 55° must be explicitly
stated or clearly shown on the diagram
(C1 for one correct reason)
Note: the award of any C mark is dependant upon the award of at least
M1
24
AO3 Practice Papers – 1MA0/1F
Notes
B1 cao
1MA0/1F – AO3 Practice Paper
Question
*15
16
Working
Answer
35o
with reasons
Mark
4
126
or
176
4
Notes
M1 for correct method to find one angle eg 70 or 110 (angles could be
on the diagram)
M1 for a complete correct method to work out x
A1 (dep on M1) for 35o
C1 for complete geometric reasons for their chosen method without
extras eg
exterior angle = sum of interior opposite angles
and base angles of an isosceles triangle are equal
OR
angles in a triangle add up to 180 and angles on a straight line add up
to 180 and base angles of an isosceles triangle are equal
OR
M1 x + x + 20 + 90 = 180
M1 for a complete correct method to work out x
A1 (dep on M1) for 35˚
C1 for complete geometric reasons for their chosen method without
extras eg
angles in a triangle add up to 180 and base angles of an isosceles
triangle are equal
M1 for correct unit conversion of 2 m or 3 m or 20 cm
M1 for method to find number in width or number in length
or 14 or 9 or 16 or 11
M1 (dep on M1) for “number in length” × “number in width”
eg 14 × 9 eg 16 × 11
A1 for 126 or 176
17
4×6 rectangle
2
B2 for a single 4×6 rectangle drawn anywhere on the grid
(B1 for a single 4×n rectangle or a single m×6 rectangle drawn
anywhere on the grid)
Note: All nets and 3-D sketches get NO marks
25
AO3 Practice Papers – 1MA0/1F
1MA0/1F – AO3 Practice Paper
Question
18
19
Working
Answer
Region shaded
Mark
3
required region
4
26
AO3 Practice Papers – 1MA0/1F
Notes
B1 for circle arc of radius 3cm (± 2mm) centre Burford
B1 for circle arc of radius 5 cm (± 2mm) centre Hightown
B1 for overlapping regions of circle arcs shaded
M1
M1
M1
A1
arc radius 5 cm centre C
bisector of angle BAD
line 3 cm from DC
for correct region identified (see overlay)
Results Plus data for AO3 Practice Paper 1F:
Qu. No.
Series
Question
1
Nov-13
1
2
Nov-13
13
3
Nov-14
4
Spec ref
Score
Marks
Percent
Na
2.55
3
85.0
Nq
1.69
2
84.5
8
Na
3.31
4
82.8
Nov-14
19
Na
3.04
4
76.0
5
Jun-13
13
Na
2.22
3
74.0
6
Nov-13
5
Na,Nb
2.88
4
72.0
7
Mar-13
15
Nc
2.09
3
69.7
8
Jun-14
7
GMo, Na, o
3.14
5
62.8
9
Jun-12
4
Na
1.77
3
59.0
10
Jun-12
14
GMx
2.02
4
51.0
11
Jun-13
17
Nu
1.00
3
33.3
12
Nov-13
12
SPh
0.98
3
32.7
13
Jun-14
21
Nm, o, a
1.13
4
28.3
14
Nov-12
19
GMa,GMb
1.14
4
28.0
15
Mar-13
18
GMb
0.86
4
21.5
16
Nov-14
12
Na, GMp
0.66
4
16.5
17
Nov-12
22
GMk
0.29
2
14.0
18
Nov-12
28
GMw
0.41
3
14.0
19
Mar-13
21
GMw
0.33
4
8.3
31.51
66
47.7
AO3 Practice Papers – 1MA0/1F