Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC)/Grade 10/ P2 6 ExemplarGrade 10 Mathematics: Question Paper 2MARKS: 100TIME: 2 hoursQUESTION 11.1 Give the co-coordinates of A′, the new co-ordinates of the point A(-2; 5) if:1.1.1 It is reflected about the x-axis (1)1.1.2 It is reflected about the y-axis (1)1.1.3 It is reflected about the line y = x (2)1.2Given the points A(-3; 2), B(5; -1) and C(2; p), calculate:1.2.1 The length of the line segment AB. (2)1.2.2 The co-ordinates of M, the midpoint of the line segment AB. (2)1.2.3 The value of p if the gradient of BC is 2.(3)1.3 In ΔABC below, Ĉ = 53,14° and AC = 20 metres.A20 mB 53,14°1.3.1 Calculate the value of AB. (2)1.3.2 Hence, express BC in terms of tan53,14°. (2)C1.4The base of the rectangular prism below has a length 18 cm a breadth x cm. Theheight of the prism is 5 cm.5 cm18 cmx cmCalculate the following in terms of x:1.4.1 The volume of the prism. (2)1.4.2 The new breadth of the prism, if the volume of the prism is doubled, butthe length and the height remain the same. (1)1.5 The ages of the people in the Jackson family are as follows:63; 32; 34; 64; 32; 27; 351.5.1 Determine the mean. (2)1.5.2 Determine the mode. (1)1.5.3 Determine the median. (2)1.5.4 Determine the upper quartile. (2)[25]Copyright reserved