Paper 2 · November 2017 (topical set) · Bearings and Scale Drawing
Use pencil, ruler and compasses only for all constructions and show clearly all construction lines and arcs. All constructions should be on a single diagram. (a) (i) Construct, in a single diagram, triangle AXB such that AX = 5 cm, BX = 7,5 cm and angle AXB = 60 degrees. [3] (ii) Construct the locus of points which are 1. equidistant from XA and XB, [2] 2. 3,5 cm from X. [1] (iii) Show by shading, the region R, in the triangle, such that R is closer to XA than XB and XR is less than or equal to 3,5 cm. [2] (b) Measure and write down the length of AB. [1]
Model answer
(a)(i) triangle AXB with AX = 5 cm, BX = 7,5 cm, angle AXB = 60 degrees; (ii)1. the bisector of angle AXB, 2. a circle of radius 3,5 cm with centre X; (iii) shade the region inside the triangle on the XA side of the bisector of angle AXB and inside the circle of radius 3,5 cm about X; (b) AB = 6,6 cm
Also accepted: 6.6, 6,6, 6.6 cm, 6,6 cm, 6.61, 6,61
ZIMSEC Mathematics 4030/2, November 2017, Q6, via the Topical Collection