5.1 On the same set of axes draw ƒ(𝑥) = -cos(45° – 𝑥) and g(𝑥) = tan(-𝑥) in the interval of -90° ≤ 𝑥 ≤ -180°. Make use of the grid provided in the SPECIAL ANSWER BOOK. 5.2 For which values of 𝑥 is ƒ(𝑥) – g(𝑥) ≤ 0 for 𝑥 ∈ [−90°; 90°] (2) … Read more
4.1 Given the sequence: 7 ; 12 ; 17 ; … … … 4.1.1 Write down the next two terms of the sequence. (2) 4.1.2 Determine the general term of the sequence in the form of Tn = an + b. (2) 4.1.3 Determine if 125 will be a term in above sequence. (3) 4.1.4 … Read more
The following table represents the heights, in centimetres, of 120 boys in a school. 1.1 Complete the cumulative frequency table in the SPECIAL ANSWER BOOK. (2) 1.2 Draw an ogive, using the diagram in the SPECIAL ANSWER BOOK, to representthe information in the table. (4) 1.3 Determine, using the ogive, the five number summary. (5) … Read more
3.1 For which value(s) of m will the equation 2x(x + 1) + m = x have non-real roots?(5) 3.2 If: For which value(s) of x is f(x) not defined?(5) [10]
4.1 Given: 𝑝.sin 𝛽 – 4 = 0 and 𝑝.cos 𝛽 + 3 = 0 where 𝑝 > 0 4.1.1 Explain why 𝛽 ∈ [900;1800] (3) 4.1.3 Determine the numerical value of 𝑝. 4.2 Simplify without using a calculator: sin1430.cos1270 – sin530.cos370 [24]
In the diagram below, ∆ PQS is drawn with vertices P (-2 ; 3), Q (3 ; 6) and S in a Cartesian plane. Line QS passes through the origin at O. PS║QR. PŜQ 20,230. 3.1 Calculate the gradient of QS. (2) 3.2 Calculate the size of 𝜃. (2) 3.3 Determine the: 3.3.1 gradient of … Read more
A group of learners wrote a standardised English test that was scored out of 60. The results were represented in a cumulative frequency graph below. 2.1 How many learners wrote the test? (1) 2.2 How many learners scored at least 20 out of 60? (2) 2.3 Using the graph, estimate the median test score. (2) … Read more
2.1 Simplify: 2.2 Find the value of: 10x+3 if 10x = 1,5 (2) 2.3 Solve for x:2.3.1 2x = 0,125 (2) [14]
Mr Ngwane is the sales manager for a furniture shop. Every month his 15 staff members report on the number of customers who visited during the previous month. The results were given as follows: 12 15 15 19 22 23 26 26 32 33 33 33 33 35 35 1.1 Determine the: 1.1.1 median of … Read more