Math - Sec 2 - SA 2 - 2021 - North Vista Sec

NAME: NORTH VISTA SECONDARY SCHOOL END-OF-YEAR EXAMINATION 2021 _________ ( CLASS: BP-259 100 ------- SUBJECT : MATHEMATICS LEVEL/STREAM : SECONDARY 2 EXPRESS DATE: 4 OCTOBER 2021 TIME : 2 HOURS 30 MINUTES READ THESE INSTRUCTIONS FIRST Write your register number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all questions. If working is needed for any question it must be shown with the answer . Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures . Give answers in degrees to one decimal place. For Jr, use either your calculator value or 3.142, unless the question requires the answer in terms of Jr. The number of marks is given in brackets [ ] at the end of each question or part question . The total of the marks for this paper is 100. This paper consists of 29 printed pages. Partnerlnlearning 259 For Examiner's Use Category Question No. Accuracy Brackets Fractions Units Others Marks Deducted [Turn Over

Compound Interest Mensuration Trigonometry Statistics Mathematical Formulae Total amount= P(l + __c_)n 100 Curved surface area of a cone = 1rrl Surface area of a sphere = 41rr2 1 Volume of a cone = - 1rr 2 h 3 4 Volume of a sphere = - 1rr 3 3 Area of triangle ABC= _!__ ab sin C 2 Arc length = r0 , where 0 is in radians Sector area= I.r2 0 , where 0 is in radians 2 a b C sinA sinB sinC a2 =b2 +c2 -2bccosA Ifix Mean= -- L/ Standard Deviation = Partnerlnlearning 260 'I.Jx2 (I.fx)2 --- --'I.f "i.f BP-260 - - . ------ - ------------ - --- ------ ----------------- -

3 Section 1 (50 marks) Answer all the questions. 1 Write the following numbers in order of size, starting with the smallest. 0.255 , ( __ 21 )2 • 0.225, 2 5 Answer .... .. ........................ ... .. ....... ........ .. .... ....... ...... ......................... [1] 2 Write down the equation for the following graphs from the table below. (a) (b) y=2-x 2 y=2-x y y y=x-2 Partnerlnlearning 261 2 y=­ x y=2x Answer .... .. .......................... .. [1] Answer .. .. .... ................. ..... .... [1] [Turn Over

4 ,,.., ,. .. · l u1t1on 3 The graph shows the number of fruits sold by a fruit stalfin a weet \Vit 12 -1--------- --.- -----.- -------.,....HEcf-W+J,;- 10 +----- - Number 8 -,--- offruits 6 . 1--~-~---1 4 +-__,_ _ __._ __ __._ _ __.. __ __,_ _ ____, ___ _. Apple Banana Type of fruit (a) State one misleading feature of the graph. Watermelon Answer ................ ............. ........ ............................... ... .. ............................ .. . . .... . . .. . . ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. [1] (b) Explain how this feature affects the readers' interpretation of the graph. Answer .................... .. ....... ... ............................... .......... .. ........................... . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [ 1] 4 It is given that a is 25% of band bis 25% of c. Is a 50% of c? Explain your answer. Answer ................................. ... .......... ....................... .. ................................... ... [2] Partnerlnlearning 262 BP~262

5 5 Mrs Ng distributed a packet of sweets to Abigail, Benjamin and Cyrus in the ratio 2 : 3 : 4. However, if the packet of sweets had been distributed equally among the three of them, Abigail would have received 5 sweets more in comparison with the previous distribution. What is the total number of sweets in the packet? Answer .................................. [2] 6 An area of 2 cm2 on map A represents a land area of 50 m2. (i) Express the scale of the map in the form 1 : n. (ii) A bridge on map A is 3. 7 5 cm long. Find the actual length, in m of the bridge. Partnerlnlearning 263 Answer ............................... [2] Answer .............................. m [1] [Turn Over BP-263

6 r· Co .. Ultlc1 1-1 . . . . . . j ''t 7 The mformat10n on three trams, P, Q and Rat a tram station 1s as follows. · • First Train Frequency Train P 8.15 am Every 15 minutes Train Q 8.15 am Every 18 minutes Train R 8.15 am Every 25 minutes Find the next time that the train will leave the station together. Answer ... .............. ...... ........... [2] 8 a is inversely proportional to the square of b. When a= 16 , b = .!.. . 2 (a) Form an equation connecting a and b. (b) Find the value(s) of b when a= 81. Partnerlnlearning 264 Answer ...................... ............ [2] Answer ....... .... ........ ............. .. [l] BP-264

7 9 In the diagram , trapezium ABCD is congruent to trapezium EFGH. It is given that AB= 10 cm, AD= 14 cm, GH = 20 cm, LABC = 110°. Find (i) EH, (ii) angle FGH. C Partnerlnlearning 265 H E F Answer .... ..... ....... ... .......... cm [l] Answer .................................. [1] [Turn Over

10 Simplify (a) 3x 4(2-3x) 4 3 3ab 24a3 (b) ----5c2 · 30b2 c3 · 8 Partnerlnlearning 266 BP-266 Answer .... ....... ....................... [2] Answer ....... .. ......................... [2]

9 11 Factorise completely.Tu i ti O I1 (a) 6x-2.xy+5ay-l5a, • Wlt (b) 81x2 -36y 2 . Partnerlnlearning 267 BP-267 Answer ....... ........................... [2] Answer ..... .. ................ ........... [2] [Turn Over

12 ax-3x y= 1-a (a) Findy when x = 2 and a= -3. 10 (b) Rearrange the formula to make x the subject. Answer .... ..... .................. ...... [1] Answer x = ...... ........................ [2] 13 (a) S 1 h . 1. 4-5x 4x + 1 ovet emequa1ty--<-- . 2 4 Answer ......... .. ................ ...... [2] (b) H . d h 11 . b h' h . fy h . 1· 4-5x 4x+l ence wnte own t e sma est pnme num er w 1c sat1s t e mequa 1ty-- < --. 2 4 PartnerlnLearning 268 Answer ... ........................... ... [l] BP-268