5.2 A plot is made up of land and water. The shaded square in the diagram below shows the water. Four congruent right-angled triangles (each labelled A) represent the land. On the triangles, the sides that meet at right angles have lengths 3 m and 4 m. Calculate the area of the land.
A A A A [6]
Question 6 6
The cost of hiring a van is R700 per day and R20 for every kilometre travelled.
6.1 Write an equation of the cost, C, in rands, if the van is hired for d days and used for k kilometres.
6.3 Umar hired the van for three days and he had to pay a bill of R3 000. How many kilometres did he travel?
Question 7 7.1
(2)
6.2 Write an equation of the cost, C, in rands if the van is hired for two days and used for k kilometres.
(2)
(2) [6]
Some Grade 9 learners did the following factorisations. For each one, say whether or not it is correct. For each incorrect factorisation, do the factorisation correctly.
7.1.1 4x2y + 8xy − 12y2 = 4xy(x + 2 − 3y) 7.1.2 x2 − 16 = (x + 8)(x − 8) 7.1.3 x2 − 81 = (x + 3)2(x − 3)2
7.1.4 2x2 + 18x + 16 = 2(x + 8)(x + 1) 7.1.5 x2 − 5x + 6 = (x − 2)(x − 3) 7.2
7.2.1 242 − 2x2 = 0
7.2.2 x(x − 5) + 9(5 − x) = 0 7.2.3 x2 − x − 49 = −7
Solve for x in each of the following:
(2) (2) (2)
[16]
(2) (2) (2) (2) (2)
(3)
358 Section 4: Teaching Mathematics
Page 1 |
Page 2 |
Page 3 |
Page 4 |
Page 5 |
Page 6 |
Page 7 |
Page 8 |
Page 9 |
Page 10 |
Page 11 |
Page 12 |
Page 13 |
Page 14 |
Page 15 |
Page 16 |
Page 17 |
Page 18 |
Page 19 |
Page 20 |
Page 21 |
Page 22 |
Page 23 |
Page 24 |
Page 25 |
Page 26 |
Page 27 |
Page 28 |
Page 29 |
Page 30 |
Page 31 |
Page 32 |
Page 33 |
Page 34 |
Page 35 |
Page 36 |
Page 37 |
Page 38 |
Page 39 |
Page 40 |
Page 41 |
Page 42 |
Page 43 |
Page 44 |
Page 45 |
Page 46 |
Page 47 |
Page 48 |
Page 49 |
Page 50 |
Page 51 |
Page 52 |
Page 53 |
Page 54 |
Page 55 |
Page 56 |
Page 57 |
Page 58 |
Page 59 |
Page 60 |
Page 61 |
Page 62 |
Page 63 |
Page 64 |
Page 65 |
Page 66 |
Page 67 |
Page 68 |
Page 69 |
Page 70 |
Page 71
