Mathematics Grade 10 KwaZulu Natal June 2021 Question Paper

Downloaded from hlayiso.com Education REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE GRADE 10 : MATHEMATICS " COMMON TEST i JUNE 2021 This question paper consists of 4 pages. Copyright Reserved KwaZulu-Natal Department of Education Please turn over

Iviauiciiaucs Downloaded from hlayiso.com Ne yulE 2ue1 NSC INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. c This question paper consists of 3 questions. Answer ALL the questions. Clearly show ALL calculations, diagrams, graphs, etc. which you have used in determining your answers. Answers only will NOT necessarily be awarded full marks. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. If necessary, round off answers correct to TWO decimal places, unless stated otherwise. Diagrams are NOT necessarily drawn to scale. Write neatly and legibly. Copyright Reserved Please turn over

Downloaded from hlayiso.com Mathematics 3 KZN/June 2021 NSC QUESTION 1 1 Consider the following number sequences: -14;—17;—20;-235... 1.1.1 | Write down the next TWO terms in the sequence. (Q) 1.1.2 Complete the table below, by determining the values of a, b and c. n 1 : 3 a 14 50 Tn -14 -17 -20 -32 b c (3) 1.1.3. Write down the general term, 7, , of the sequence. (2) 1.2 A sequence of patterns is made from square tiles and triangular tiles. Below are the first three patterns in the sequence. Pattern 1 Pattern 2 Pattern 3 1.2.1. Determine how many square tiles are required for pattern 10. (2) 1.2.2. Calculate how many triangular tiles are required for pattern 24. (3) [12] QUESTION 2 a1 If A=40° and B=19°, use a calculator to evaluate, correct to TWO decimal : places, the following: cot B-sec A. (2) 22 Given: 17sin9+8=0 and 90°<@<270° , determine with the aid of a diagram, : and without the use of a calculator, the value of: 221 cos’ (4) 2.2.2 2tan@—cosecO (3) Solve for x (correct to TWO decimal places) ift 2.3 4 3cos(3x+10°)-1=0 , xe[0°;90°]. ® 2.4 Without the use of a calculator, showing all working, determine the value of: sin90°+ tan? 45° +/2 cos 45° (3) [16] | Copyright Reserved Please turn over

VLAUUC LAE Downloaded from hlayiso.com NSC QUESTION 3 The graphs of (x)= se -8 and g(x)=—x-4 are given. A and B are x- intercepts of the graph of f, and D is the turning point of f. The graph of g meets f at B and E. C is the y-intercept of g. 3.1 32 y f A O B x Cc & D Determine: 3.1.1 the coordinates of A, B, C and D. 3.1.2 the length of CD. 3.1.3. the equation of k (x) , if k(x) =—f(x) The following functions are given: f(x)= 2 +2 and h(x)=2*+2. 3 3.2.1 Sketch the graphs of f and A on the same set of axes, clearly showing all intercepts with the axes and asymptotes where applicable. 3.2.2 Write down the domain of f. TOTAL: Copyright Reserved KzINJUuMe ZUZ1 (8) (2) (2) (8) (2) [22] 50