Department of Education - Western Province

[Pages:6]-1-

Department of Education - Western Province

Year End Evaluation - 2020 Grade 11 - Mathematics I - Marking Scheme

(01) 2000 ? 7 100

Rs' 140

(02) 22x2 - 52

Part - A

1 (14) 5-10 drawing the rectangle with

12

the height 6 units 10-20 drawing the rectangle with

the height 8 units

1

(15) 1.6021

1 12 22

(2x - 5) (2x + 5)

(03) x + 2x + 750 = 1800 x = 350

(04) 7.2

(05) 80 ? 3 2

120kmh-1

(06) x = 600 y = 600

(07) V = 1 ? 4 ? 3 ? 10 3

= 60cm3

1 2 (16) (i) ?

1

(ii) ? 1

1

(17)

6 a

=

2

12 1

a = 3

12

2

2 (18)

x + 600 = 900 ^identifying 900

1

or 600&

x = 300

1 12

12

(19) DC arc length =11cm

1

1

ABCD perimeter = 47cm

12

(20)

25

?

3 5

1

= 15

12 1 12

12 (21) perpendicular

1

(08) identifying the coordinates of A and B

bisects

31 Gradient = =

62

1

(22) 2 - x = 3

12

x = -1

12

1 12

(09) x ? 2 Smallest value = 2

(10) BCF = 600 ^Corresponding angles& DAF = 1500

(11) 4x2y2

1

(23)

12 A

1

1 2 (24) 2400 60

22

40lmin-1

e B 22

1 12

(12) 12 ? 10 8

15 men

(13) x = 1000 y = 750

1

(25) Drawing perpendicular bisector of AB 1

12 1

Marking the point D

12

12

- 01 -

Mathematics Answers - Grade 11 - Western Province

B fldgi

(01) (i) 5 8

(ii) 5 of 3 or 5 ? 3 8 5 85 3 8

(iii) 3 ? 3 } 6 888 Remaining 2 or 1 84 1 of Salary = 20 000 4 Total Salary = Rs' 80 000

(03)(i) Num. of shares

90 000 =

1

60

11

= 1500

12

(ii) Income = 1500 ? 7 = 10500 2 2

1

(iii) Selling price of a share

12 1 1

13

=

4500 1500

= Rs. 63 (iv) 15 000 ? 12 or Rs' 1800

100 16 800 ? 12

100

= Rs' 2016

= Rs' 18 816

1

12 1 1 1 14

(iv) For Education = Rs' 3 ? 80 000 8 = Rs' 30 000

Loan instalment = Rs. 20 000

As a fraction of the salary 20 000

= 80 000 = 1

4

1

3600 - (900 + 300) (04) (i)

2

1

= 1200

(ii) 15 ? 1200 300

1

= 600

14 10

(iii) 15 ? 360 30

= 180

10 1 12 2 13

1 12

(02) (i) Area of the sector = 45 ? 22 ? 14 ? 14 360 7 = 77cm2

(ii) 1 ? AB ? 14 = 77 2 AB = 11cm

2 13 2

(iv) 60 ? 3600 150

^getting 150 -1mark&

= 1440

13 (05) (i)

2

13 10

(iii)

DC

=

45 ? 2 ? 360

22 ? 14 7

DC = 11cm

1 12

(iv) Perimeter = 14 + 11 + 11 + 17.8 1

= 53.8cm

12

10

second selection

5 ????

4 ???

?

3 ??

??

2?

???

1

????

22

12 34 5 first selection

- 02 -

Mathematics Answers - Grade 11 - Western Province

(ii)Circling the events

-3-

1

(02) (i) 4

11

2=1 20 10

12

(iii) first selection second selection

2

Being a

4

boy

3 5

Being a

boy

2

4

Being a girl

3

Being a

2

4 Being a

boy

5

girl

1

Being a

4

girl

Writing the probability 3 5

Drawing the other two

branches with the probabilities

1 1+1 3

(iv) 3 ? 2 ? 2 ? 3 5454 12 = 3 20 5

2 13

(ii) Correct axes

1

Marking at least 6 points correctly

Smooth curve ( Graph is on the back page) 1 13

(iii) -3 < x < 1

22

(iv) y = 4 - (x +1)2

22

(v) -1 ................
................

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