S3_Mock0_13_E

In Figure 4, ABCE is a rectangle. The diagonals AC and BE intersects at M. D is a point outside ABCE such that triangleEMD is an equilateral triangle. CE and MD intersect at N. It is given that triangleEAC =54o.
https://www.flickr.com/photos/130230543@N06/15472170713/
(a)Find triangleEMC and triangleDCM.(4 marks)
(b)Is triangleDCM an equilateral triangle? Explain your answer.

In Figure 7, a ship travels 45 km from Port A to Port B in the direction of S32oW. Then it travels in the direction of S58oE and arrived at Port C. It is given that the bearing of Port C from Port A is S9oE.
https://www.flickr.com/photos/130230543@N06/16091954735/
(a)Find the distance between Port B and Port C.(3 marks)
(b)The ship is leaving Port C towards the north and will stop at the point closest to Port B. Find the bearing of the ship from Port A at that moment.

If a book is sold at a 30% discount on its marked price, the loss percentage is 12%. If the book is sold at the marked price, the profit is $36. The marked price of the book is
A.$140.
B.$152.
C.$176.
D.$200.

P, Q and R are three points on a map, where PQ = PR. If the bearings of Q and R from P are 125o and 215o respectively, then the bearing of Q from R is
A.045.
B.055.
C.080.
D.090.

In the figure, ABCD is a parallelogram. E is a point lying on AB such that AE : EB = 3 : 2. If EC and BD intersect at F, then the ratio of the area of triangleADE to the area of triangleBEF is
https://www.flickr.com/photos/130230543@N06/15471873984/
A.9 : 4.
B.5 : 2.
C.21 : 4.
D.15 : 2.

In the figure, the regular hexagon is divided into 24 equilateral triangles and 14 of them are shaded. The number of axes of reflectional symmetry of the hexagon is
https://www.flickr.com/photos/130230543@N06/15906772628/
A.1.
B.2.
C.3.
D.6.