5.1 In the diagram below, P(1;3) is a point on the Cartesian plane, OP = r and XÔP= θ. 5.1.1 Make use of the diagram to calculate the value of θ. (2) 5.1.2 Calculate the length of OP. Leave the answer in surd form. (2) 5.1.3 Determine the values of the following, without using a … Read more
4.1 Calculate the gradient of NQ. (1) 4.2 Calculate the gradient of MP. (1) 4.3 Calculate the angle of inclination of MP. (3) 4.4 Hence, determine the equation of the line MP. (4) 4.5 Hence, determine the coordinates of P. (4) 4.6 Determine the co-ordinates of R. (3) [16]
The points A(2a – 11; a +2), C(4; -1) and D(4p; p – 7) are the vertices of ∆ACD with B(-2; 3)on AC. 3.1 If points A, B and C are collinear, find the value of a. (4) 3.2 Determine the equation of the line AC. (3) 3.3 Hence, determine the co-ordinates of midpoint M … Read more
The following is a sample of weekly wages earned by ten people working for a smallprinting and design company. 2.1 Calculate the mean weekly wage. (2) 2.2 Calculate the standard deviation of the weekly wage. (1) 2.3 Determine the percentage of workers which lie within ONE standard deviation of the mean. (4) [7]
3.1 Solve for 𝑥 and 𝑦 in the following simultaneous equations. (6) 𝑥 + 𝑦 +2 = 0 and 𝑥2 + 𝑦2 = 4 3.2 Determine the nature of the roots of the quadratic equation a𝑥2 + b𝑥 + c = 0 if the following conditions are given: 3.2.1 a < 0, b > 0 and … 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
SECTION A: COMPREHENSION Read the passage below (TEXT A) and answer the set questions. TEXT A NOTE: 1.1 Refer to paragraph 1. 1.1.1 What disease did Nosiphiwo suffer from? (1) 1.1.2 State what Nosiphiwo’s ambition was as a child. (1) 1.1.3 What did Nosiphiwo’s father do for a living? (1) 1.1.4 In your OWN words … Read more
SECTION C: SHORTER TEXT – TRANSACTIONAL/REFERENTIAL/INFORMATIONAL Choose ONE of the following topics and write a short text. The body of your response should be between 80 and 100 words in length. Write the number and the heading of the text you have chosen, for example: 3.1 Advertisement Spend approximately 30 minutes on this section. 3.1 … Read more