Department of Education - Western Province
-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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