Mathematics Grade 10 P2 North West June 2017 Question Paper

NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS PAPER 2 MID-YEAR EXAMINATION 2017 MARKS: 75 JUNE EXAMINATION 2012 TIME: 1, 5 hours This question paper consists of 9 pages and a diagram sheet

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 6 questions. 2. Answer ALL the questions. 3. Clearly show ALL calculations, diagrams, graphs, et cetera which you have used in determining the answers. 4. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. 5. If necessary, answers should be rounded off to TWO decimal places, unless stated otherwise. 6. Diagrams are NOT necessarily drawn to scale. 7. Number the answers correctly according to the numbering system used in this question paper. 8. Write neatly and legibly. 2

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 QUESTION 1 1.1 Determine the value of by using a calculator. (2) 1.2 If , and . Calculate the numerical value of (2) 1.3 Determine the value of the following without using a calculator: (4) [08] QUESTION 2 2.1 Calculate the value of , where [ 2.1.1 (3) 2.2 Find the value of without using a calculator: (6) 2.3 If and determine with the aid of the diagram the value of: (5) [14] 3

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 QUESTION 3 3.1 In and Determine: P 3,2cm Q 33,45 R 3.1.1 (3) 3.1.2 (2) 3.1.3 (3) 3.2 A wall is 7,3 m high. B and C are two points in the same horizontal plane as D. The angles of elevation from B and C of A are and respectively. 4

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 A 7,3m B 22,3  C 48, 2  D Determine: 3.2.1 the distance between B and C? (5) 3.2.2 the angle of depression of B from A? (2) [15] QUESTION 4 4.1 Sketch graphs of and on the same set of axes for using the diagram sheet provided at the end of the question paper. (6) 4.1.1 Determine the range of . (1) [07] 5

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 QUESTION 5 5.1 is a kite such that the diagonals intersect in . and B O C A 20  2cm D 5.1.1 Write down the length of . (2) 5.1.2 What is the size of ? (2) 5.1.3 What is the size of ? (2) 5.2 is a parallelogram with and .Calculate the value of in the following diagram : A C E 130 85  1 2 B 1 1x D (6) [12] 6

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 QUESTION 6 6.1 In the following figure, . . P T Q S R 6.1.1 Prove that (4) 6.1.2 Prove that ||| (3) 6.2 In the diagram below: are the midpoints of respectively. bisects and bisects . P T y1y234x S x O U W Q R V 7

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 Prove that: 6.2.1 (4) 6.2.2 (4) 6.2.3 TUVW is a rectangle. (4) [18] TOTAL: 75 8

Mathematics /P2 NW / Mid-year 2017 NSC- Grade 10 Learner Name:__________________________ School Name:__________________________ Class:______ Question 4.1 9