Monfort Sec Sch P2 2020

1 3 Section A (52 marks) Answer all the questions in this section. (a) 64.5 Workout----0.0584x18.2 (b) y is directly proportional to the square of x. Given that y = 81 when x = 3, find y when x = 2. Answer ............................. [l] Answer y = ............. .......... [2]

4 2 The frequency table below shows the number of goals scored by a soccer team Colo-Colo in 25 matches. Number of ~oals 0 2 3 4 5 Number of matches 4 5 6 5 3 2 (a) Find the mode. Answer ...... ........ ........ ....... [!] (b) Find the mean. Answer ................. ...... ..... . [2] (c) One of the matches was selected at random. Find the probability that. on that day, the number of goals scored was 2 Answer ........................ .... . [!] 3 (a) Simplify q 4 xq5 J q Answer ... ..... .-... ........ ... ..... (2] 3 (b) Simplify (; y Answer ........ ...... . ............. [2]

5 4 (a) C B A D E ABC is an isosceles triangle. AB= AC and BADE is a straight line. AngleACB = 69° and angle CDE= 148°. Find angle x. Answer x = ................ .... .. [2] (b) The interior angle of a regular polygon is 135 ° . Find the number of sides of the polygon. Answer ............................ [2]

6 S The diagram shows a sketch of a field. (a) 90m Make an accurate scale drawing of the field. Use a scale of 1 cm to represent 10 m. (b) A pole, M, is placed in the field. It is on the perpendicular bisector of BC and also on the bisector of angle BAD. Construct and label the position of the pole on your scale drawing. [3] [2]

6 7 A mountain bike is marked · h . In a sale the p . . ed wit a pnce of$550 at a sports shop , nee 1s r uced to $440. · (a) Calculate the reduction as a percentage of the marked price. Answer ......................... %[3] (b) $440 is 300/o more than the amount the owner of the shop paid for the mountain bike. Calculate the amount the owner of the shop paid for the mountain bike. Answer $ .......................... (2]

8 7 The diagram shows the speed-time graph of a particle over a period of time. Speed (mis) 20 -----------------:x-------... .---------22c..__5 _____ 4!.....8 ---~66 _ __,. Time (s) (a) Describe the motion between t = 25 and t = 48. Answer ............................... . [l] . . ................................................. . (b) Calculate the retardation. Answer .......................... mis 2 [2] (c) The area under the graph represents the total distance travelled. Calculate the total distance travelled. Answer .......................... m [2]

8 (a) 9 Expand and simplify (3x-2y)(x+ 4y). (b) Factorise 8 y 2 - l 8x2 completely. (c) Rearrange this formula to make p the subject. 3u q=4(p-r) Answer ................ ......... .. . [2] Answer ........................ .... [2] Answer p = .................... ... [3]

10 [2] 9 (a) Complete the table of values for y = 3x. I X 2 1.5 I I -0.5 I 0 0.5 1 y 0.1 0.3 1 1.7 3 (b) On the grid, plot the graph of y = 3x for