Mathematics Grade 11 March Test 2020 Question Paper

Downloaded from hlayiso.com NATIONAL testpapers.co.za NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICS MARCH 2020 BCM EDUCATION DISTRICT TIME: 1 hour MARKS: 50 INSTRUCTIONS AND INFORMATION 1. Answer ALL the questions 2. Write neatly and legibly.

Downloaded from hlayiso.com QUESTION 1 1.1 Solve for 𝑥 correct to two decimal places where necessary: 1.1.1 𝑥 𝑥 − 9 + 14 = 0 (3) 1.1.2 𝑥 2 + 3𝑥 = 1 (4) 1.1.3. 𝑥 2 + 3𝑥 − 18 < 0 (4) 1.1.4. 4𝑥−6 = 32𝑥 (3) 1.2. Simplify , without using a calculator: 1.2.1. 9𝑛 −1 . 273−2𝑛 (5) 812−𝑛 1.2.2. 20 ( 125 − 64 + 16 ) (4) 1.3 Solve for 𝑥 and 𝑦 simultaneously: 𝑥 + 2𝑦 = 5 and 2𝑦 2 − 𝑥𝑦 − 4𝑥 2 = 8 (6) [29] QUESTION 2 2.1 Complete the statements below by filling in the missing word(s) to make the statements correct. 2.1.1. The line drawn from the centre of the circle perpendicular to the chord --- (1) --------------------- 2.1.2. The exterior angle of a cyclic quadrilateral is equal to-----------. (1)

Downloaded from hlayiso.com 2.2. In the figure below, AB and CD are chords of the circle with centre O. OE ⊥ AB. CF = FD. OE = 4cm, OF = 3cm and CD = 8cm. 2.2.1. Calculate the length of OD. (3) 2.2.2. Hence calculate the length of AB (4) [9] QUESTION 3 3.1 In the diagram O is the centre of the circle and A, B, C are points on the circle. Use the diagram to prove that :𝐴𝑂𝐵 = 2 𝐴𝐶 𝐵 (5)

Downloaded from hlayiso.com 3.2 In the figure below 𝐷𝐶 𝑂 = 25° and O is the centre of the circle. A,B,E,C and D are points on the circumference. Calculate giving reasons , the sizes of : 3.2.1. 𝐷1 (2) 3.2.2 O1 (1) 3.2.3. 𝐴1 (2) 3.2.4. 𝐸 (2) [12] TOTAL [50]