NATIONAL SENIOR CERTIFICATE MATHEMATICS P2 GRADE 11 … · 2018. 1. 22. · Mathematics/P2 24...

24
Copyright reserved Please turn over LEARNER NAME NATIONAL SENIOR CERTIFICATE MATHEMATICS P2 GRADE 11 NOVEMBER 2014 SPECIAL ANSWER BOOK QUESTION MARK INITIAL MOD. 1 2 3 4 5 6 7 8 9 10 TOTAL This answer book consists of 24 pages.

Transcript of NATIONAL SENIOR CERTIFICATE MATHEMATICS P2 GRADE 11 … · 2018. 1. 22. · Mathematics/P2 24...

  • Copyright reserved Please turn over

    LEARNER NAME

    NATIONAL SENIOR CERTIFICATE

    MATHEMATICS P2

    GRADE 11

    NOVEMBER 2014

    SPECIAL ANSWER BOOK

    QUESTION MARK INITIAL MOD.

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    TOTAL

    This answer book consists of 24 pages.

  • Mathematics/P2 2 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 1

    1.1

    Solution Marks

    1.1.1

    (2)

    1.1.2

    (1)

    1.1.3

    (2)

    1.1.4

    (2)

    8 10 12 14 16 18 20 22 24 26 28 30 32 34 36

    4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36

    Supermarket

    B

    Supermarket

    A

  • Mathematics/P2 3 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    1.2

    10 15 20 x 30 35 15 31 32 21 x 27 28 29

    Solution Marks

    1.2

    (3)

    [10]

  • Mathematics/P2 4 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 2

    Solution Marks

    2.1

    (1)

    2.2

    (2)

    2.3

    Temperature, T, in

    degrees Celsius Frequency

    19 T < 21

    21 T < 23

    23 T < 25

    25 T < 27

    27 T < 29

    29 T < 31

    (3)

    0

    5

    10

    15

    20

    25

    30

    17 19 21 23 25 27 29 31 33 35

    Cu

    mu

    lati

    ve

    freq

    uen

    cy

    Average daily temperature (in degrees Celsius)

    Cumulative frequency graph of average daily temperature

    recorded

  • Mathematics/P2 5 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    Solution Marks

    2.4

    (4)

    [10]

    0

    2

    4

    6

    8

    10

    12

    17 19 21 23 25 27 29 31 33 35

    Fre

    qu

    ency

    Average daily temperature (in degrees Celsius)

    Frequency polygon of temperature recorded

  • Mathematics/P2 6 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 3

    x

    y

    Solution Marks

    3.1

    (2)

    3.2

    (2)

    A(–9 ; 12)

    B(9 ; 9)

    C(–3 ; –9)

    N(a ; 7)

    R

    O M P T

    S

    55

  • Mathematics/P2 7 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    Solution Marks

    3.3

    (4)

    3.4

    (5)

    [13]

  • Mathematics/P2 8 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 4

    Solution Marks

    4.1

    (3)

    A(–8 ; 6)

    D(3 ; 9)

    K

    B

    C

    O

  • Mathematics/P2 9 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    Solution Marks

    4.2

    (4)

    4.3

    (3)

  • Mathematics/P2 10 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    Solution Marks

    4.4

    (2)

    4.5

    (5)

    [17]

  • Mathematics/P2 11 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 5

    Solution Marks

    5.1.1

    (2)

    5.1.2

    (3)

    5.2

    (6)

  • Mathematics/P2 12 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    Solution Marks

    5.3.1

    (5)

    5.3.2

    (2)

    5.4

    (5)

  • Mathematics/P2 13 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    5.5

    Solution Marks

    5.5.1

    (2)

    5.5.2

    (3)

    O x

    P( )3;x

    Q(a ; b)

    2

    y

    20

    T

  • Mathematics/P2 14 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    Solution Marks

    5.5.3

    (5)

    [33]

  • Mathematics/P2 15 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 6

    Solution Marks

    6.1

    (3)

    6.2

    (2)

    6.3

    (2)

    6.4

    (2)

    6.5

    (2)

    [11]

    f g

    0

  • Mathematics/P2 16 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 7

    7.1

    Solution Marks

    7.1.1

    (3)

    7.1.2

    (2)

    7.1.3

    (3)

    A B

    C

    40° 110°

    6

    8

    T

  • Mathematics/P2 17 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    7.2

    Solution Marks

    (6)

    [14]

    A

    2

    r

    36°

    B C

  • Mathematics/P2 18 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    GIVE REASONS FOR YOUR STATEMENTS AND CALCULATIONS IN QUESTIONS 8,

    9 AND 10.

    QUESTION 8

    8.1

    Solution Marks

    8.1.1

    (2)

    8.1.2

    (2)

    M

    P

    S

    T

    O 2

    1

    1

    2 37°

  • Mathematics/P2 19 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    8.2

    Solution Marks

    8.2.1

    (3)

    8.2.2

    (3)

    8.2.3

    (3)

    8.2.4

    (2)

    [15]

    1 1

    K

    L

    M O T 2

    106°

  • Mathematics/P2 20 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 9

    Solution Marks

    9.1

    (2)

    9.2

    (1)

    9.3

    (2)

    1

    1

    1

    1

    2

    2

    2 2

    2

    1

    3

    4

    K

    L

    M

    N P

    20°

  • Mathematics/P2 21 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    Solution Marks

    9.4.1

    (4)

    9.4.2

    (3)

    [12]

  • Mathematics/P2 22 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    QUESTION 10

    Solution Marks

    10.1

    (6)

    P A T

    B C

    O

  • Mathematics/P2 23 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved Please turn over

    10.2

    Solution Marks

    10.2.1(a)

    (1)

    10.2.1(b)

    (1)

    10.2.2

    (4)

    P

    Q R

    S

    T

    1

    1 1

    1

    2

    2 2

    2 3

    3

  • Mathematics/P2 24 DBE/November 2014

    CAPS – Grade 11 – Answer Book

    Copyright reserved

    Solution Marks

    10.2.3

    (3)

    [15]

    TOTAL: 150