Math - Sec 2 - SA 2 - 2021 - Greendale Sec

I Name: ______________ ( ) I Class: S2 __ Grp __ GREENDALE SECONDARY SCHOOL End-of-Year Examination 2021 60 MATHEMATICS Paper1 12 Oct 2021 Secondary Two Express 1 hour 30 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Target Before: Write your index number and name on all the work you hand in. Write in dark or blue pen. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Target After: Answer all questions. If working is needed for any question it must be shown with the answer. Omission of essential working may result in loss of marks. You are expected to use a scientific calculator to evaluate explicit numerical expressions. 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 1t, use either your calculator value or 3.142, unless the question required the answer in terms of 1t. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 60. Question Q1 Q2 Q3 Q4 QS(i), (iii) QS(ii) Q6 Q7 Strand N1 A? N1 AS S1 N3 AS N7 Marks Question Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Strand N2 AS A? S1 A? G5 G1 G4 Marks This document consists of 19 printed pages, including this cover page. Greendale Secondary School 2021 Partnerlnlearning 164 Q8 N1 Q17 G5 BP~ 164

Greendale Secondary School End of Year Examination 2021 2 Compound interest Mensuration Trigonometry Statistics Mathematical Formulae Total amount= P(l + _r_)" 100 Curve surface area of a cone = nrl Surface area of a sphere = 4nr2 1 Volume of a cone= -nr2h 3 4 Volume of a sphere = - nr3 3 Area of triangle ABC= _!_ ab sin C 2 Arc length = r0, where 0 is in radians Sector area= _!_ r20, where 0 is in radians 2 a b C --=--=-- sinA sinB sinC a2 = b2 + c2 - 2bc cos A '°' fx Mean = _L..J_ II Standard deviation = PartnerlnLearning 165 Secondary 2 Express Mathematics Paper 1

1 Greendale Secondary School End of Year Examination 2021 3 Answer all questions . E 1 ✓ 783.25 . . 2 d . l l va uate 2 , g1vmg your answer to ec1ma paces. 23x3.14 Secondary 2 Express Mathematics Paper 1 Answer ___________ [1] 2 2x 3x-l Solve -+--=8 . 5 2 Answer x = [2] ----- - - PartnerlnLearning 166 BP-166

Greendale Secondary School 4 Secondary 2 Express End of Year Examination 2021 Mathematics Paper 1 3 The numbers a, b, c and dare represented on the number line. I 0 a b 1 C d 2 Match the values below to the numbers a, b, c and d. 4 1r 5 s' 2 ' 0·3, 4 Answer a = b = c = d = [2] ---' ---' ---' --- 4 Make Tthe subject of the formula p = ✓ SR . 2T-l Answer T= [3] ------ Partnerlnlearning 167

5 Greendale Secondary School 5 Secondary 2 Express End of Year Examination 2021 Tt1itiori Mathematics Paper 1 The dot diagram shows the number of marks 0 obt~ned by 15 students in a test. w1tr~~-f~ • 65 66 • • • • • 67 (i) Find the median mark. • • 68 ~p • • 69 70 71 Marks • • • 72 73 • • 74 Answer ________ marks [1] (ii) The score for a distinction is at least 70 marks. Find the percentage of students who scored distinction. Answer __________ %[1] (iii) Linda joined the class and scored 35 marks. Without any calculation, describe how the mean would be affected and explain why. Answer ___________________ [1] Partner! n Learning 168 BP-168

6 Greendale Secondary School 6 Secondary 2 Express End of Year Examination 2021 Mathematics Paper 1 (i) Expand and simplify x 2 -(x+ 2y )(x-2y). Answer ___________ [2] (ii) Hence, find the value of 12002 -1204 x 1196 . Answer [1] -------- Partnerlnlearning 169

Greendale Secondary School End of Year Examination 2021 7 Secondary 2 Express Mathematics Paper 1 7 Solve the simultaneous equations. x-2y=-l 5x-4 y =16 Answer x = ___ andy = ____ [3] Partnerlnlearning 170 BP-170

Greendale Secondary School 8 Secondary 2 Express 8 End of Year Examination 2021 Tu it i O n Mathematics Paper 1 Written as a product of its prime fac~i;,s, 6h0 = 2x x 3 x SY . (i) Find the value ofx and ofy. W 1 t_, ~~ Answer x = ____ and y = ____ [2] (1·1·) p· d h 11 . . . h h 6000 · +'. b m t e sma est positive mteger n sue t at -- 1s a per1ect cu e. n Answer n = [1] ------- Partnerlnlearning 171 BP-171

Greendale Secondary School End of Year Examination 2021 9 9 Mis directly proportional to the square of d . Secondary 2 Express Mathematics Paper 1 (i) Given that M = 54 when d = 3 , form an equation connecting Mand d. (ii) (a) FindMwhen d = _!_. 4 S. 1·fy 3p zq5 . 15p3 Imp l ---:---2 . 4r 2q Answer [2] ------- Answer [1] ------- Answer [2] -------- (b) Factorise 4x-5y-12ax+l5ay. Answer [2] -------- Partnerlnlearning 172

Greendale Secondary School 10 Secondary 2 Express End of Year Examination 2021 Mathematics Paper 1 11 One solution of the equation kx2 -( k + 2) x - 2 = O is 2. (i) Show that the value of k is 3. Answer (ii) Find another solution of the equation. Partnerlnlearning 173 [2] Answer x = _________ [2]