MATHEMATICS GRADE 11 PAPER 1 ... - St Stithians College

[Pages:7]Mathematics/P1

MATHEMATICS EXAMINER: SV

RBHS Gr 11 MEMO

GRADE 11 PAPER 1 MEMORANDUM

November 2016

NOVEMBER 2016 MODERATOR: PG

1.1.1 (3 - 4)(2 + 1) = 0

= 4

3

OR

= - 1

2

(2)R

1.1.2 122 - 7 - 6 = 0

= -(-7)?(-7)2-4(12)(-6)

2(12)

= 1,06

OR = -0,47

(3)R

1.1.3 2+1 + 2 = 48

2(2 + 1) = 48

2 = 24

= 4

(3)R

1.1.4

2 - 4 + = 6 2 - 4 = (6 - )2 2 - 4 = 36 - 12 + 2 0 = 2 - 14 + 40

0 = ( - 4)( - 10)

= 4

OR 10

(6)R

1.1.5 ( - 1) 6 2 - - 6 0 ( - 3)( + 2) 0

+- +

-2 3 1.2 - - 3 = 0

= + 3 ... (1)

-2 3

(4)R

and

2 - 32 = 13

( + 3)2 - 32 = 13

2 + 6 + 9 - 32 = 13

-22 + 6 - 4 = 0

2 - 3 + 2 = 0

( - 2)( - 1) = 0

= 2 OR = 1

= 5

= 4

(7)R

1.3 = (+)2 - 4(-)(0)

= (+)2 ,

(3)C

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Mathematics/P1

RBHS Gr 11 MEMO

2.1

2-1+2+1 5?10

=

2(2-1+21) 5.2.5

=

12+2 5.5

= 1 . 5-

2

= 1 . 10

2

=5

2.2

1 =1+ 1

12 -4

( - 4) = 12( - 4) + 12

2 - 4 = 12 - 48 + 12

2 - 28 + 48 = 0

= -(-28)?(-28)2-4(1)(48)

2(1)

= 26,17 OR 1,83 2.3 = 22 + 5 + 3

0 = 22 + 5 + 3 - = (5)2 - 4(2)(3 - )

< 0 (5)2 - 4(2)(3 - ) < 0

25 - 24 + 8 < 0 < - 1

8

< - 1

8

November 2016

(4)C (6)C

(5)P [15]

Mathematics/P1

RBHS Gr 11 MEMO

November 2016

3.1.1

0

3

10

21

3

7

11

4

4

2 = 4

3(2) + = 3 (2) + (-3) + = 0

3.1.2 3.1.3

= 2 = 22 - 3 + 1 82 = 2(82)2 - 3(82) + 1 82 = 13203 820 = 22 - 3 + 1

= -3

= 1 (4)R

(2)R

0 = 22 - 3 - 799

0 = ( - 21)(2 + 39)

= 21

OR

= - 39

2

, 21 .

(4)R

3.2

6

13

7

- 13

-

- 20 = 2

= 22 = 33

(4)C

3.3.1 -2 + 4 = -18

= -4

= -2 - 3(-4)

= 10

= -4 + 14

(4)C

3.3.2 -178 = 10 + ( - 1)(-4)

= 48

(2)C

3.4.1 0; 17

(2)R

3.4.2 100 = 0 + 50

1

2

3

5 13

24

4 38

8

11

14

2 = 3 = 3

2

3 (3) + = 8

2

= 7

2

(3) + (7) + = 5

2

2

= 0

3

3

=

3 2

2

+

7

2

=

3 2

(50)2

+

7 2

(50)

=

3925

(5)P

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Mathematics/P1

RBHS Gr 11 MEMO

4.1

1

+

=

(1

+

13,4%)12

12

= 0,1425

= 14,25%R

4.2 = 2(1 - )6

- (61 - 1) =

2

4.3.1 4.3.2

= 10,91%

=

2000[(1+81,22%)12?4-1]

8,2%

Fsub

12

= 113 163,28

135 000 - 113 163,28 = (1 + 8,2%)12?3

12

=

21836,72 (1+81,22%)12?3

= 17088,91

4.4

0

3

6

+27000

-

November 2016

(3)R

(3)R (3)R

(4)R 10 17614,76

5,4% 12

6,3%

17614,76 = 27000 (1 + 5,4%)12?6 (1 + 6,3%)4 - (1 + 5,4%)12?3 (1 + 6,3%)4

12

12

-

=

-

30016,56 (1+51,42%)12?3(1+6,3%)4

= 20 000,00

(5)C

[18]

Mathematics/P1

RBHS Gr 11 MEMO

5.1 = ( - 1)2 - 8

-6 = (0 - 1)2 - 8

= 2 = 2( - 1)2 - 8 OR = 22 - 4 - 6

5.2 (-1; 0)

5.3 = 4

5.4

= -8-0

1-3

= 4

5.5 = 4 +

-8 = 4(1) +

= 4 - 12

5.6 () = 2( - 1)2 - 8

= (-) = 2(- - 1)2 - 8 = 2(2 + 2 + 1) - 8 = 22 + 4 - 6

5.7 < -1 OR 2 < 3 5.8 = -21 + 4 = 2

= 10

5.9 4 = 2( - 1)2 - 8

= ?6 + 1

= 26 = 4,90

6.1.1

6.1.2 > 3

shape

November 2016

(4)R (2)R (1)R (2)R (2)R

(3)R (3)C (3)C

(4)C [24]

(3)R (2)P

Mathematics/P1

6.2.1

m

RBHS Gr 11 MEMO

6.2.2

TP

a

6.3.1 = -1

6.3.2

= -2 () = - 2

+1

3 = - 2

0+1

= 5

= 5 - 2

+1

6.3.3 = -( + 1) - 2

() = - - 3

6.4

a

November 2016

(2)R

(3)C (2)R (3)R (2)R

(4)P [21]

Mathematics/P1

RBHS Gr 11 MEMO

7.1.1

Age of driver:

35 years and younger () Older than 35 years Total

Number of accidents:

3 or fewer () More than 3

200

=

=

50

270

=

7.1.2

a)

150 420

=

5 14

=

0,36

b) 50 = 5 = 0,12

420 42

c)

50 120

=

5 12

=

0,42

November 2016

Total: 300

= 420 (4)R (2)R (2)R (2)C

7.2 ( ) = () + () - ( )

( ) = 0,65 ? 0,3 = 0,195

( ) = 0,65 + 0,3 - 0,195 = 0,755

(4)C

7.3 1 ? 2 = 1

(3)P

6

3

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