Mathematics Grade 10 P1 Gauteng June 2018 QP (Eng)

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2018 GRADE 10 MATHEMATICS (PAPER 1) TIME: 1 hour MARKS: 50 6 pages P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 2 GRADE 10 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (PAPER 1) Time: 1 hour Marks: 50 INSTRUCTIONS 1. Answer ALL the questions. 2. Clearly show ALL calculations, diagrams, graphs etc. that you have used in determining your answers. 3. Answers only will not necessarily be awarded full marks. 4. An approved scientific calculator (non-programmable and non-graphical) may be used, 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. It is in your interest to write legibly and to present your work neatly. P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 3 GRADE 10 QUESTION 1 1.1 The value of 33 lies between two integers. Find these integers without finding the exact value of 33. (2) 1.2 Convert the following recurring decimal fraction 0, 4 5 to a common fraction in its simplest form. (3) [5] QUESTION 2 2.1 Simplify: 2.1.1 (3x) 2 ( 2 xy ) 3 2x5 y 4 (3) 2.1.2 1  1  q 1 2   q   q   2   qp  p  p  p q  (3) 2.2 Factorise completely: 2.2.1 6 p  40  p 2 (3) 2.2.2  xy  ( y  x)b  b2 (4) [13] P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 4 GRADE 10 QUESTION 3 3.1 Solve for x : x2 3 1   x  3x  4 x  4 2  2 x 2 (5) 3.2 Solve for x if x IR, and illustrate your answer on a number line. x  2  1  3 2 (3) [8] QUESTION 4 4.1 The following pattern is given: 5 ; 8 ; 11 ; 14 ; … Determine the general term of the pattern. (3) 4.2 3x  7; 2 x; 3x  1;.... are the first three terms of a linear pattern. 4.2.1 If the pattern continues in this manner, determine the value of x. (4) 4.2.2 Which term in the sequence is the first to be greater than 31? (3) [10] P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 5 GRADE 10 QUESTION 5 5.1 The sketch below shows the graph of f ( x)  b x  q . A point A(2;5) appears on the graph. Calculate the values of b and q . (3) P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 6 GRADE 10 3 5.2 Given: f ( x)   x  2 and g ( x)  , which is not drawn to scale. x P and Q are points of intersection of the graphs. G P f E B 0 Q F g Determine: 5.2.1 The coordinates of P and Q. (6) 5.2.2 The coordinate of B. (2) 5.2.3 The length of GF if E(-6; 0). (3) [14] TOTAL: 50 END