UNIT 40.2 CSEC Revision Questions Sample Paper 02

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision QuestionsSample Paper 02The time allowed for this paper is 2 hours 40 minutes.Candidates are expected to have electronic calculators.SECTION I90 marks on the CORE syllabusSECTION II30 marks available; there are 3 structured or problem-solvingquestions based mainly on the Optional Objectives of thesyllabus, with 1 question from Algebra and Relations, Graphs and Functions Measurement and Geometry and Trigonometry Vectors and Matrices.Candidates are required to answer ANY TWO questions.Each question will be allocated 15 marks. CIMT and e-Learning Jamaica1

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision QuestionsSample Paper 02The time allowed for this paper is 2 hours 40 minutesCandidates are expected to have an electronic calculatorSection 190 marks on the CORE syllabusSection II30 marks availableSECTION I1.(a)Calculate the EXACT value of3(b)11 243516(3 marks)Write the value of 12.52(i)exactly(ii)to two significant figures(iii)in standard form.(3 marks)2.h Cas600Hire Purchase Plan:Pay down 60 55 monthly for 12 months(a)(b)Mr Jones purchases the TV advertised in the diagram by using the hirepurchase plan instead of paying cash. How much more than 600 doesMr Jones pay by using the hire purchase plan?(3 marks)Mr James works a basic week of 40 hours at a rate of 16 an hour.His overtime rate is 4 per hour MORE than his basic rate.Calculate(i)his total wage for a basic week,(ii)his wage for a week in which he worked 47 hours,(iii)the number of hours he worked during one week if he waspaid a wage of 860.(7 marks) CIMT and e-Learning Jamaica1

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision Questions3.(a)Sample Paper 02Draw a Venn diagram withU { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 }to illustrate the setsA { 0, 1, 3, 6, 10, 15 }B { 1, 2, 3, 5, 8, 13 }C { 3, 4, 7, 11 }What is(b)A B C(c)(A B C)'?(9 marks)4.The diagram below, not drawn to scale, shows a rectangle ABCE joinedalong the edge EC to a quarter circle ECD, so that AED is a straight line.AB 7 cm and BC 5 cm.DEC5 cmA(a)Write down the length of AD.(b)Use π 7 cmB22.7Calculate(c)(i)the length of the arc CD(ii)the perimeter of the figure ABCDE(iii)the area of the figure ABCDE.If the diagram is drawn to a scale of 1:100, find the actual area ofrectangle ABCE in square metres.(10 marks) CIMT and e-Learning Jamaica2

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision Questions5.Sample Paper 02The height, in centimetres, of seedlings were recorded and grouped as shown below.Height (cm)Number of Seedlings(a)3-78 - 1213 - 1718 - 2223 - 2751623124Calculate(i)the TOTAL number of seedlings in the sample.(ii)an estimate of the mean height of the seedlings in the sample.(5 marks)(b)Using a scale of 2 cm to represent a height of 5 cm on the x-axis, and2 cm to represent 5 seedlings on the y-axis, draw on graph paper thefrequency polygon to represent the data given in the table.(5 marks)(c)6.(a)Calculate the probability that a seedling, selected at random, measuresat most 12 cm in height.(2 marks)The cost, J C, of advertising in the local newspaper is worked out usingthe formulaC 20 n 30where n is the number of words in the advertisement.(i)Annelise puts in an advertisement of 15 words.Work out the cost.(ii)(2 marks)The cost of Debbie's advertisement is J 250.a)Use the formula to write down an equation in n.b) Solve the equation to find the number of words inDebbie's advertisement.(b)(i)(ii)(1 mark)(2 marks)Simplifya)3m 2( m 1)b)32 y y 2Solve the equation2( x 1) CIMT and e-Learning Jamaica52(8 marks)3

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision Questions7.(a)(i)Given that f ( x ) x 2 x 2 , copy and complete the table below. 3xf ( x)(ii)Sample Paper 02 2 10 24120Using 2 cm to represent 1 unit on both axes, draw the graph off ( x ) x 2 x 2 for 3 x 2 .(iii)(iv)(b)(2 marks)(4 marks)On the graph of f ( x ) x 2 x 2 , draw the graph of g ( x ) x 1using the values from the table shown below.x 23g( x ) 32(2 marks)Using the graphs, write down the coordinates for the points wherethe two graphs intersect.(2 marks)The speed-time graph below shows the movement of a cyclist.y504030201005 10 15 20 25 30 35xUsing the graph, calculate(i)the acceleration of the cyclist during the first 15 seconds.(ii)the distance travelled by the cyclist between the periodt 15 and t 35 seconds. CIMT and e-Learning Jamaica4(6 marks)

UNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsMEP Jamaica: REVISIONUNIT 40.2 CSEC Revision Questions8.(a)Sample Paper 02ABCDE is a regular pentagon.O is the centre of the pentagon.BCyDiagram notaccuratelydrawnxOADE(i)a)Write down the order of rotational symmetry of the regular pentagon.b) Write down the number of lines of symmetry of triangle OCD.(ii)Work out the value ofa)(b)(2 marks)xb) y.(3 marks)The diagram below shows a circle ABC with centre O. AC is a diameterand ACB 35 .Calculate the size of ABO .C35 OAB(3 marks) CIMT and e-Learning Jamaica5

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision Questions(c)Sample Paper 02In the figure below, not drawn to scale, BC 5 metres, angle BCD 40 and angle BDC is a right angle.B5m40 DC(i)Calculate the length, in metres, of BD.(2 marks)(ii)Calculate the length, in metres, of DC.(2 marks)(iii)Prove that the area in m 2 of the triangle BDC is 12.5 sin 40 cos 40 .(2 marks) CIMT and e-Learning Jamaica6

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision QuestionsSample Paper 02SECTION IIAnswer any TWO questionsAlgebra and Relations, Graphs and Functions1.(a)Factorise completely(i)4x2 9(i)m p mq n p nq(iii)2 x 2 3x y y2(6 marks)(b)Solve for x, given3x 2 7 x 2 0(c)(4 marks)Solve the pair of simultaneous equations:x2 4 yx y 2(5 marks)Measurement and Geometry and Trigonometry2.(a)Port M, is due south of a lighthouse, L. A ship leaves Port M and sails 200 kmon a bearing of 60 to Port K. Port K is directly east of the lighthouse.(i)Sketch a diagram to represent this information.At L and K, draw dotted lines to show the direction of north.(ii)Label CLEARLY on your diagram(i)the points L, M and K(ii)the angle of 60 , which shows the bearing of K from M(iii)the line segment representing 200 km.(4 marks)(iii)Calculate, to the NEAREST kilometre, the distance LK.(iv)Indicate on your diagram the angle, x, which shows the bearingof M from K. CIMT and e-Learning Jamaica7(3 marks)(1 mark)

UNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsMEP Jamaica: REVISIONUNIT 40.2 CSEC Revision Questions(b)Sample Paper 02The diagram shows the position of a parallelogram �3–2–10–1D123456A–2–3–4(i)The parallelogram ABCD is rotated through 180 about B to form anew parallelogram A1B C1D1. On a copy of the diagram, draw and labelthe parallelogram A1B C1D1.(2 marks)(ii)The parallelogram A1B C1D is enlarged by a scale factor of 3 to form anew parallelogram A2B2C2D2. The centre of the enlargement is (2, 0).Draw and label the parallelogram A2B2C2D2.(2 marks)(iii)Describe a single transformation which would take A 2 B2 C 2 D 2 backonto A1B C1D1.(3 marks) CIMT and e-Learning Jamaica8x

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Multiple Choice Items and Revision QuestionsUNIT 40.2 CSEC Revision QuestionsSample Paper 02Vectors and Matrices3.(a)ANot to scale2aB3a 2bO5a 6bC In the diagram, OA 2 a, OB 3a 2b and OC 5a 6b(i)(ii)(b)Express, in terms of a and b, as simply as possible, a)ABb)BC(2 marks) (2 marks)What do your answers to part (a) tell you about the points A, B and C?Give a reason for your answer.(2 marks) 1 4 1 3 Given that A and B , 1 2 2 5 evaluate A2 B .(c)(1 mark)(4 marks)3 7Find the inverse matrix for A . 5 2 Hence solve the equations7 x 3y 6 5x 2 y 5(6 marks) CIMT and e-Learning Jamaica9

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Papers and Revision QuestionsUNIT 40.2 CSEC Revision QuestionsMarks areSample Paper 02MARK SCHEME'B' marks -independent marks given for the answer'M' marks -method marks'A' marks -accuracy marks ('A' marks cannot be awarded unlessthe previous 'M' mark has been awarded.)SECTION I1.(a) 13 7 43 11 6 11112 11 26(b) (i) 156.252.(iii) 1.5625 10 2(ii) 160(a) Total payment 60 12 55(a)B1 B1 B1A1Extra payment 720 600 120B140 16 640B1(ii) 640 7 20 780M1 A1(iii) 640 x 20 860M1 A120 x 220 x 11 hours overtimeA1No. of hours worked 40 11 51B1BA01026154138951312(6 marks)M1 720(b) (i)3.M1 A1 A1(10 marks)U( 1 for each mistake)B514711C(b)A B C {3}B2(c)( A B C ) ' { 9, 12, 14 }B2 CIMT and e-Learning Jamaica10(9 marks)

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Papers and Revision QuestionsUNIT 40.2 CSEC Revision Questions4.(a)Sample Paper 02MARK SCHEMEAD 7 5 12 cmB11. (2 π 7) 11 cm4M1 A1(ii) Perimeter 35 cm (11 5 7 5 7)M1 A1(b) (i)CD 1 π 724771 35 73 cm 222((iii) Area (7 5) )M1 A1A1147 100 100 cm 22147 2 m2(c) Actual area 5.M1A1(a) (i) 5 16 23 12 4 60(10 marks)M1 A1(ii) Mean (5 5 10 16 15 23 20 12 25 4) 6087060 14.5M1 A1 (b)A13020Number ofseedlings100051015Height (cm)( 1 for each mistake)(c) probability 5 1621 0.356060 CIMT and e-Learning Jamaica2025B5M1 A11130(12 marks)

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Papers and Revision QuestionsUNIT 40.2 CSEC Revision Questions6.(ii) a) 250 20 n 30 b) 11(a) (i) J 330(b) (i)M1 A13 ( y 2) 2 yy 6 y ( y 2)y ( y 2)x M1 A1 A154M1 A159 1 44A1(ii) x 1 (a) (i)M1 A1 B1 M1 A1a) 3m 2 m 2 m 2b)7.Sample Paper 02MARK SCHEMEf ( 2) 0f (0) 2f (2 ) 4( 1 for each mistake)(ii)B2y4321—3—20—1123x—1—2—3( 1 for each mistake)(iii) graph(iv) (1, 0) and ( 1, 2 ) CIMT and e-Learning JamaicaaxesB1pointsB2shapeB1graphB2B1 B112(13 marks)

MEP Jamaica: REVISIONUNIT 40 Sample CSEC Papers and Revision QuestionsUNIT 40.2 CSEC Revision Questions(b) (i)Acceleration gradient 40 8 m/s215 3Sample Paper 02MARK SCHEMEM1 A1 A11(ii) Distance travelled 40 20 20 10 m 2 (800 100) m 900 m8.(a) (i)(b)a) 5b) 1(ii) a) 72 M1 A1 A1b) 54 ˆ 70 2 ABOˆ 180 70 ABOˆ 55 AOB(c) (i)BD 5 sin 40 ( 3.21 m ) B1 B1 M1 A1 B1B1 M1 A1M1 A1(ii) DC 5 cos 40 ( 3.83 m )(iii) Area (16 marks)M1 A11 BD DC2M125sin 40 cos 40 2A1(14 marks)(TOTAL MARKS 90) CIMT and e-Learning Jamaica13

UNIT 40.2 CSEC Revision QuestionsSample Paper 02MARK SCHEMESECTION IIAlgebra and Relations, Graphs and Functions1.(2 x 3)(2 x 3)M1 A1( m n) ( p q )M1 A1(iii) (2x y) ( x y)M1 A1(3 x 1) ( x 2) 0M1 A1(a) (i)(ii)(b) 3 x 1 0 or x 2 0A11or x 23A1 x (c) x 2 4 y 4 ( x 2)M1 A1x2 x 6 0( x 3) ( x 2) 0M1x 3, y 5, or x 2, y 0A1 A1Measurement and Geometry and Trigonometry2.(a)N(i)NLKx sketchB1200 km60 M(ii)(iii)(iv)Labela) points L, M, KB1b) angle 60 B1c) line representing 200 kmB1LK 200 sin 60 M1 173.205A1 173 km to the nearest kmA1Bearing, x , shown on sketchB1 CIMT and e-Learning Jamaica14(15 marks)

UNIT 40.2 CSEC Revision Questions(b)Sample Paper 02MARK SCHEMEyA2(i)D2B2A1C1BB2(ii) Shape A2B2C2D2B2Enlargement,B1C(iii)D1Shape A1D1C1BDxscale factorA1,3B1about (2, 0)B1(15 marks)C2Vectors and Matrices3.(a) (i) a)b)a 2b2 a 4b B1( 2 ( a 2 b) )B2 (ii) Since BC 2 AB , points A, B, C are collinear(b) A2 BB1 B1 1 4 1 4 1 3 1 2 1 2 2 5 M1 3 12 1 3 3 0 2 5 A2 4 15 1 5 A1(c) det A 1M1 A1 2 3 A 1 7 5A1 6 2 3 6 3 x x 6 A A 1 7 5 5 5 5 y y 5 M1 A1 A1 CIMT and e-Learning Jamaica15(15 marks)

MEP Jamaica: REVISION UNIT 40 Sample CSEC Papers and Revision Questions UNIT 40.2 CSEC Revision Questions Sample Paper 02 MARK SCHEME Marks are 'B' marks - independent marks given for the answer 'M' marks - method marks 'A' marks - accuracy marks ('A' marks cannot be awarded unless the previous 'M' mark has been awarded.) SECTION I 1. (a) 13 4 .