Upload
others
View
16
Download
1
Embed Size (px)
Citation preview
Level 2 Answer Book v1.1
Functional Skills Maths
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 2
Understand and use positive and negative numbers of any size in practical contexts .......................... 4
Place Value .................................................................................................................................................... 5 Positive and Negative Numbers ..................................................................................................................... 6 Apply the Skill ................................................................................................................................................. 7
Carry out calculations with numbers of any size in practical contexts, to a given number of decimal places ................................................................................................................................................................ 8
Rounding ........................................................................................................................................................ 9 Multiples ....................................................................................................................................................... 10 Estimating and Checking ............................................................................................................................. 11 Levels of Accuracy ....................................................................................................................................... 11 Apply the Skill ............................................................................................................................................... 12
Understand, use and calculate ratio and proportion, including problems involving scale ................... 13
Ratio ............................................................................................................................................................. 14 Scale Diagrams ............................................................................................................................................ 14 Apply the Skill ............................................................................................................................................... 15
Understand and use equivalences between fractions, decimals and percentages ............................... 16
Equivalent Fractions and Simplest Form ..................................................................................................... 17 Finding a Fraction of an Amount .................................................................................................................. 17 Evaluate One Number as a Fraction of Another .......................................................................................... 18 Adding and Subtracting Fractions ................................................................................................................ 18 Rounding Decimals ...................................................................................................................................... 19 Add, Subtract, Multiply and Divide Decimals ............................................................................................... 20 Percentages ................................................................................................................................................. 21 Percentage Increase and Decrease ............................................................................................................ 22 Converting between Fractions, Decimals and Percentages ........................................................................ 23 Apply the Skill ............................................................................................................................................... 24
Understand and use simple formulae and equations involving one- or two-step operations .............. 25
Bidmas ......................................................................................................................................................... 26 Formulae ...................................................................................................................................................... 26 Substitution .................................................................................................................................................. 27 Apply the Skill ............................................................................................................................................... 28
Recognise and use 2D representations of 3D objects .............................................................................. 29
3D Shapes ................................................................................................................................................... 30 Nets .............................................................................................................................................................. 31 Plans ............................................................................................................................................................ 31 Parallel Lines ................................................................................................................................................ 31 Apply the Skill ............................................................................................................................................... 32
Find area and perimeter of common shapes .............................................................................................. 33
Perimeter ...................................................................................................................................................... 34 Circumference .............................................................................................................................................. 34 Area .............................................................................................................................................................. 35
Contents
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 3
Find volume of common shapes .................................................................................................................. 36
Volume ......................................................................................................................................................... 37 Apply the Skill ............................................................................................................................................... 38
Use, convert and calculate using metric and, where appropriate, imperial measures .......................... 39
Convert Currencies ...................................................................................................................................... 40 Dates ............................................................................................................................................................ 41 Time ............................................................................................................................................................. 41 Temperature ................................................................................................................................................. 42 Length .......................................................................................................................................................... 42 Weight .......................................................................................................................................................... 43 Capacity ....................................................................................................................................................... 44 Apply the Skill ............................................................................................................................................... 45
Collect and represent discrete and continuous data, using ICT where appropriate .............................. 46
Types of Data ............................................................................................................................................... 47 Gathering Discrete Data with Tally Charts ................................................................................................... 47 Gathering Continuous Data ......................................................................................................................... 48 Representing Data in a Bar Chart ................................................................................................................ 49 Representing Data in a Pie Chart ................................................................................................................ 49 Representing Data in a Line Graph ............................................................................................................. 50 Representing Data in a Scatter Graph ......................................................................................................... 51 Using ICT ..................................................................................................................................................... 51 Apply the Skill ............................................................................................................................................... 51
Use and interpret discrete and continuous data ........................................................................................ 52
Reading and Extracting Data from Tables ................................................................................................... 53 Reading and Extracting Data from Bar Charts ............................................................................................ 53 Reading and Extracting Data from Pie Charts ............................................................................................. 53 Reading and Extracting Data from Line Graphs .......................................................................................... 53 Reading and Extracting Data from Scatter Graphs ..................................................................................... 54 Reading Continuous Data ............................................................................................................................ 54 Apply the Skill ............................................................................................................................................... 55
Use statistical methods to investigate situations ...................................................................................... 56
Mean, Median and Mode ............................................................................................................................. 57 Range ........................................................................................................................................................... 57 Apply the Skill ............................................................................................................................................... 58
Use probability to assess the likelihood of an outcome ........................................................................... 59
Probability .................................................................................................................................................... 60 Tree Diagrams & Tables .............................................................................................................................. 61 Apply the Skill ............................................................................................................................................... 61
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 4
Functional Skills Maths
Level 2 Understand and use positive and negative numbers of any size in practical contexts
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 5
Place Value
1) 30 000
2) Yes
3) Five thousand and twenty 1 000 510 000
One million five hundred and one thousand 52
Fifty one thousand and ten 1 501 000
One billion five hundred and ten thousand 51 010
Fifty two 5020
4) 200 miles
5) 2 320 502
6) 400 000
7) 7 Billion
8) 20 001 030 001
9) 6000
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 6
Positive and Negative Numbers 1) No
2) Tom
3) Coldest 25 °C 16 °C 11 °C 2 °C -6 °C -25 °C -33 °C
4) £22.98
5) -1 °C
6) Stockholm
7) - £39.67
8) 9 °C
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 7
Apply the Skill 1) a) Eve’s account
b) £34.34
2) £156.56 + £75
3) - £73.88
4) Yes
5) 17 °C
6) - £64.49
7) £1400
8) £417.00
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 8
Functional Skills Maths
Level 2 Carry out calculations with numbers of any size in practical contexts, to a given number of decimal places
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 9
Rounding 1) 895 472 = 900 000
5 352 369 = 5 400 000
651 2 004 = 651 700 000
2) 1 986 159 = 2 000 000
78 520 405 = 79 000 000
981 559 951 = 982 000 000
3) 2 045 000
4) 455 500
5) 400 000
6) 254 000 000
7) $ 2 billion
8) 454 billion
9) 64.5 million
10) 12.5 million
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 10
Multiples
1) a) 8, 16, 24, 32, 40
b) 9, 18, 27
2) 12
3) 1, 2, 4, 5, 10, 20
4) 1, 2, 3, 6, 9, 18
5) 2 x 32
6)
x
x x x 7) 22 x 3 x 5
8) 7, 14, 21, 28, 35
9) 1, 2, 3, 5, 6, 10, 15, 30
10) 6
11) 8, 16, 24, 32
12) 8
24 2
2 12
2 6
48
3 2
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 11
Estimating and Checking 1) 56 = 60 270 = 300
1836 = 2000 63 500 = 60 000 8.6 = 9 2) £1749.60 Inverse calculation: £1749.60/ 12 = £145.80
3) £17.50 Inverse calculation: £17.50 x 14= £245
4) 200 ~ 250 miles
5) $200
Levels of Accuracy
1) £45.77
2) €259.74
3) 11 glasses
4) 7
5) 333 mm
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 12
Apply the Skill 1) 177 600 000
2) 4 million
3) 600 000
4) 1, 2, 4, 8, 16, 32
5) 22 x 3 x 5
6) 3 billion
7) 6000 minutes
8) 757 jackets Inverse calculation: 757 X 25 = 18925
9) 15 miles Inverse calculation: 1460 x 15 = 21 900
10) 560 km
11) £43.23
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 13
Functional Skills Maths
Level 2 Understand, use and calculate ratio and proportion, including problems involving scale
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 14
Ratio 1) 90 kg
2) 240g
3) 1.75 litres
4) 3 lengths
5) 9 litres of blues paint
3 litres of white paint
6) £300
7) 15 cm
8) 3000 birds
Scale Diagrams
1) 60 cm
2) 21.75 m
3) 2.5 km
4) 14 cm
5) 8.5 cm
6) 1 cm : 2 m
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 15
Apply the Skill
1) 300
2) 1.5 kg
3) 300
4) 80 g
5) 19 : 15
6) £1.85
7) 520 loaves
8) 180
9) 320 miles
10) 87.5 km
11) £300
12) 34 cm
13) 1 : 20
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 16
Functional Skills Maths
Level 2 Understand and use equivalences between fractions, decimals and percentages
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 17
Equivalent Fractions and Simplest Form
1) 512
= 1536
314
= 942
824
= 13
1640
= 25
1421
= 23
35 =
3050
2) 1520
= 34
1166
= 16
624
= 14
2832
= 78
927
= 13
4864
= 34
Finding a Fraction of an Amount
1) 18 of 72 = 9
16 of 1272 = 212
17 of £1050 = £150
25 of 275 = 110
59 of 135 = 75
1112
of £576 = £528
2) 152 bricks
3) £42
4) 8 828 000 people
5) £1140.00
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 18
Evaluate One Number as a Fraction of Another
1) 710
2) 110
3) 23
4) 725
5) 1120
6) 225
Adding and Subtracting Fractions
1) 34 +
18 =
7
8
2 12 +
35 = 3
1
10
4 38 + 1
23 = 6
1
24
2) 3 12 +
56 = 2
2
3
4 34 - 1
38 = 3
1
8
3 35 - 1
910
= 1 7
10
3) 6 7
12
4) 524
5) 120
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 19
Rounding Decimals 1) 21.65 = 21.7 4.27 = 4.3
109.883 = 109.9 8.6749 = 8.7
2) 34.356 = 34.36 2.874 = 2.87
124.459 = 124.46 15.9857 = 15.99
3) 3.9856 = 3.986 69.1287 = 69.129
1.0408 = 1.041 456.9518 = 456.952
4) 1.5 cm
5) £30.85
6) 7.866 m
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 20
Add, Subtract, Multiply and Divide Decimals
1) 20.72 + 2.027 = 22.747
101.01 + 10.11 + 1.001 = 112.121 2) 3.8 – 1.09 = 2.71
21.7 – 4.106 = 17.594
3) 20.1 x 0.23 = 4.623
0.067 x 2.5 = 0.1675
4) 6.5 ÷ 0.2 = 32.5
0.475 ÷ 0.25 = 1.9
5) 7.775 m
6) £1.78
7) £17.85
8) €312.50
9) £98.00
10) £170.80
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 21
Percentages 1) 405
2) 8
3) £21
4) 30%
5) 20%
6) 2%
7) £192.50
8) 305.25
9) 75%
10) 70%
11) 32%
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 22
Percentage Increase and Decrease 1) 455
2) 228
3) 53.76
4) 655.20
5) £29.75
6) £10 500
7) £129.50
8) £320
9) 6%
10) 20%
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 23
Converting between Fractions, Decimals and Percentages
1) 0.875
2) 3340
3) 0.075
4) 57.8%
5) 1625
6) 15%
7) 0.125
8) 37.5%
9) 425
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 24
Apply the Skill
1) a) 20%
b) 3
20
2) a) £295.75
b) 4%
3) £252.48
4) £24.50
5) £202.10
6) £3.03
7) 6%
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 25
Functional Skills Maths
Level 2 Understand and use simple formulae and equations involving one- or two-step operations
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 26
Bidmas 1) 7 + 8 x 3 = 31 3 x 6 – 9 = 9
18 – 5 x 2 + 3 = 11 4 x 7 - 45 ÷ 5 = 19
(12 – 3) ÷ 3 + 5 = 8 15 x 2 – (8 + 4) = 18
(14 – 6) x (6 + 2) = 64 3 x 2² x 5 = 60
3 + (4² - 2³) = 11 8 x 5 – (5² - 9) = 24
Formulae
1) 40y
2) T = 25 + 50h
3) C = 4 + 1.25m
4) T = 35 + 0.04e
5) T = 50y + 270
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 27
Substitution
1) 3a + b = 18
4a + 2b = 26
5a + 3b – c = 25
6(a + b) = 48
5(b + c) = 12
a
2) 160 cm3
3) 2500 p
4) £61.00
5) C = 30°
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 28
Apply the Skill 1) £550.00
2) £19.00
3) 20 °C
4) 44 m2
5) €70
6) 1.5 hours
7) £39
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 29
Functional Skills Maths
Level 2 Recognise and use 2D representations of 3D objects
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 30
3D Shapes 1)
Shape Name Faces Edges Vertices
Cube 6 12 8
Cuboid 6 12 8
Cylinder 3 2 0
Pyramid 5 8 5
Triangular Prism
5 9 6
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 31
Nets 1) .
2) Pyramid
3) Triangular Prism
Plans
1)
Parallel Lines 1)
2) Bookcase, Carpet Tile, Door
3) 60
4) No
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 32
Apply the Skill
1) A = 3 B = 7
C = 6 D = 1 E = 8 F = 4 G = 2 H = 5 2) a) Plan
b) 0.9 m by 3.5 m
3) a) A
b) 0.65 m
4) Tutor mark
5) Tutor Mark
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 33
Functional Skills Maths
Level 2 Find area and perimeter of common shapes
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 34
Perimeter
1) 72 m
2) 129 m
3) 13.1 m
4) 38.2 m
5) 127 m
6) 75 m
7) 8.3 m
Circumference
1) 62.8 cm
2) 345.4 cm
3) 423.9 m
4) 238.64
5) 13.4 m
6) 398.02 m
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 35
Area
1) 703 m2
2) 8.58 m2
3) 10.6 m2
4) 10 344.47 m2
5) 17 m
6) 4 tins
7) 36 tiles
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 36
Functional Skills Maths
Level 2 Find volume of common shapes
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 37
Volume
1) 105 cm3
2) 1.5 cm
3) 12 cm
4) 502.4 cm3
5) 12.9 m3
6) 288 cm3
7) 2.772 m3
8) 47 cm
9) 50 cm
10) 21.28 m3
11) 461.58 cm3
12) 20 cm
13) 18 840 cm3
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 38
Apply the Skill
1) 5132 m
2) 75.42 m2
3) 1.35 m3
4) a) 706.5 cm2
b) 28 260 cm3
5) 61.3 m
6) 163.28 m3
7) 5
8) Length = 15 cm
Width = 15 cm
Height = 16 cm
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 39
Functional Skills Maths
Level 2 Use, convert and calculate using metric and, where appropriate, imperial measures
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 40
Convert Currencies
1) £400 = €528
£350 = €462
£780 = €1029.60
2) £250 = $377.50
£475 = $717.25
3) $165 = £96.49
$770 = £450.29
4) a) $855
b) £168.98
5) 28 500 Indian Rupees
6) £121.05
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 41
Dates
1) 25 / 12 / 2017
01 / 04 / 1999
29 / 07 / 2010
2)
The meeting time in Birmingham will be 16:30.
3) a) 02 / 12 / 2015
b) Thursday
Time
1) 05:17
2) 6 minutes 33 seconds
3) 5 years 6 months
4) 16:52
5) 08:06
Dear Rob,
We are looking forward to you meeting you on 07 / 10 / 2015 at 14 : 00 at
your office in Liverpool.
Please confirm this is still convenient.
Thanks,
Tom
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 42
Temperature
1) 90 °F
2) 50 °C
3) 8 °C
4) 104 °F
5) 10 °C
Length
1) a) 96 cm
b) 0.96 m
2) 3 yards = approximately 3 m
3 feet = approximately 90 cm
8 inches = approximately 20 cm
3) Largest 1 km 50 m 1100 cm 1875 mm 185 cm 200 mm
4) a) 5.05 m
b) 20.85 m
5) a) 3 ft 4 inches
b) No
6) 20 miles
7) 1.75 metres
8) 128 kilometres
9) 23 cm
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 43
Weight
1) 7050 grams
2) Largest 4 12 kg 4 kg 450 g 4.4 kg 4.04 kg 4004 kg
3) a) 2.547 kg
b) 2.97 kg
4) a) 300 g
b) 15 kg
5) 200 g
6) 5.5 lbs
7) a) 2.5 ~ 3 lbs
b) No
8) 4 kg 250 g
9) 9 kg
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 44
Capacity
1) 0.06 litres
2) 7 pints = approximately 4 litres
27 litres = approximately 6 gallons
3) Largest 222 cl 2.2 L 2022 ml 2.02 L 2002 ml
4) 8.9 litres
5) Smallest 2 gals 400 fluid ounces 24 pints
6) 35 fluid ounces
7) 2 containers
8) 16 gallons
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 45
Apply the Skill
1) £504.00
2) 09 : 25
3) 15 : 45
4) 1.63 m
5) 8 stone
6) 48 km
7) 2 litres
8) 8 glasses
9) 29 / 04 / 2015
10) €345
11) 59 °F
12) 80 miles
13) 6 gallons
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 46
Functional Skills Maths
Level 2 Collect and represent discrete and continuous data, using ICT where appropriate
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 47
Types of Data
1) Continous Data, Primary Data
2) Discrete Data, Secondary Data
Gathering Discrete Data with Tally Charts
1) |||| 4
|||| |||| |||| |||| 20
|||| |||| 9
|||| |||| |||| |||| ||| 23
2) 8 |||| |||
14 |||| |||| ||||
12 |||| |||| ||
22 |||| |||| |||| |||| ||
3)
Cities Tally Frequency
Paris |||| 4
Amsterdam || 2
Rome |||| 5
Berlin || 2
Budapest | 1
Madrid || 2
London |||| 4
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 48
Gathering Continuous Data
1) <
>
>
2)
3)
Distance (km)
Tally
Frequency
0 < distance < 3
|||
3
3 < distance < 6
||
2
6 < distance < 9
||||
5
9 < distance < 12
||||
5
5
1
8
7
2
0 < n < 2
2 < n < 4
6 < n < 8
4 < n < 6
8 < n < 9
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 49
Representing Data in a Bar Chart
1) There is no title.
The y-axis and x-axis are the wrong way round.
The scale is much too large to meaningfully represent the data.
There is no key.
2) Conservative
Lib Dems
Representing Data in a Pie Chart
1)
Film Genres
Number of people
Number of degrees
Western
20
80 °
Romance
10
40 °
War
15
60 °
Horror
25
100 °
Other
20
80 °
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 50
2)
Representing Data in a Line Graph
1)
2)
Month
Paula
Stuart
January
20 miles
20 miles
March
30 miles
30 miles
April
40 miles
40 miles
July
55 miles
30 miles
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 51
Representing Data in a Scatter Graph
1) Plot B is incorrect Plot F is incorrect Plot G is incorrect
Using ICT
1) Tutor Mark
Apply the Skill
1) a)
b) Pie Chart
c) Scatter Graph
2)
Department Number of People
Rocket 120
Logistics 80
Firefighting 10
Catering 50
Design and Engineering 75
Accounting 25
Time in Air (seconds) Tally Frequency
X AXIS
Y AXIS
TITLE
X AXIS VALUE
TEST LAUNCHES
HEIGHT (ft)
ROCKET TEST LAUNCH HEIGHTS
TEST 3
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 52
3)
4) a) Anne
b) Charlotte
0 < t < 5
I 1
5 < t < 10
II
2
10 < t < 15
I
1
15 < t < 20
III
3
20 < t < 25
II
2
25< t < 30
III
3
Functional Skills Maths
Level 2 Use and interpret discrete and continuous data
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 53
Reading and Extracting Data from Tables
1) a) Network: Mob4Me Model: The Brick
b) £22
2) a) Mint Chips
b) 53
Reading and Extracting Data from Bar Charts
1) a) 3-door
b) Sport
c) July
d) 230
e) No
Reading and Extracting Data from Pie Charts
1) a) Bills
b) 24%
c) 14%
d) £56
Reading and Extracting Data from Line Graphs
1) Real Runner Monthly
2) 2600
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 54
3) Snow Sports Magazine
4) Snow Sports are typically sports that take place during the winter.
Or words to that effect.
Reading and Extracting Data from Scatter Graphs
1) The graph shows a negative correlation. The two pieces of data are caused by one another.
2) This graph shows no correlation. There is no causality between the two sets of data.
3) Does not imply causality / Implies causality
Does not imply causality / Implies causality Does not imply causality / Implies causality
Does not imply causality / Implies causality
Reading Continuous Data 1) a) 20 < age < 25
b) 8 kg
c) 31 kg
2) a) 6
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 55
b) 14.9 ̇ m
Apply the Skill
1) a) Design 2
b) Design 3
c) 100
2) The graph suggests causality The graph shows causality
The graph shows negative correlation The graph shows positive correlation The graph shows no correlation
The graph suggests that there is no change in sales as price is reduced The graph suggests that there is an increase in sales as price is reduced The graph suggests that there is a decrease in sales as the price is reduced
When the price is reduced by 60p, 100,000 drinks are sold When the price is reduced by 60p, 10,000 drinks are sold When the price is reduced by 60p, 100 drinks are sold
3) a) Driver A b) Driver B c) Driver A d) Driver B e) 70 km
4) a) Cola b) 18%
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 56
c) 70 000
Functional Skills Maths
Level 2 Use statistical methods to investigate situations
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 57
Mean, Median and Mode 1) a) 109.4 p
b) 109 p
c) 109 p
2) a) 24 °C
b) 23.5 °C
c) 24 °C and 23 °C
3) a) €1.17
b) €1.17
c) €1.17
4) 90
5) 92
6) a) 17 years
b) 17 years
c) 17 years
Range
1) 78
2) 24 °C
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 58
3) 5.2 m
4) a) £75
b) £50
c) No
d) £55.20
5) The median, because the mean is distorted by a high value
6) Less money was donated in Year 1 than Year 2
The amounts donated in Year 1 were more consistent than Year 2
Apply the Skill
1) a) £140
b) £174
c) £385
d) £226
2) Median, because the mean is distorted by a high wage
3) 97%
4) a) £125
b) 96
5) 3
6)
Number of apples (a) Frequency (f) af
28 2 56
29 4 116
30 8 240
31 4 124
32 2 64
Totals 20 600
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 59
a) 30
b) 30
c) 30
7) Farm Fresh
8) a) Brevi 12 mins
Snappy 9 mins
b) Brevi 6 mins Snappy 4 mins c) The range is lower so the times are more consistent
The mean is lower so buses are less minutes late
More Snappy buses run on time
Functional Skills Maths Level 2 Use probability to assess the likelihood of an outcome
v1.0
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 60
Probability
1) 23
2) a) 113
b) 126
3) a) 15
b) 710
4) 36%
5) 0.1
6) Daisy is more likely to land her spinner on red than pick a red ball
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 61
Tree Diagrams & Tables
1) 3 possible outcomes
2) 78
3) 59
4) a) 16 possible outcomes
b) 1316
c) 38
5) a) 14
b) 1112
Apply the Skill
1) 1
12
2) 14
3) 15
4) 80%
5) Bag 2
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 62
6) a) 0.1
b) 6
7) a)
b) 112
c) 518
8) a) 1 = Vanilla
2 = Strawberry
3 = Chocolate 4 = CS 5 = V V 6 = SS
b) 13
c) 59
9) No, Molly is not correct because they both have the same chance of winning.
Dice 1
1 2 3 4 5 6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
Dice 2 3
4
5
6
7
8
9
4
5
6
7
8
9
10
5
6
7
8
9
10
11
6
7
8
9
10
11
12
FS MATHS LEVEL 2 - ANSWERS
www.bksb.co.uk 63