FREE-STANDINGMATHEMATICSQUALIFICATION
                         INTERMEDIATELEVEL
                         Foundations of Advanced Mathematics (MEI)                                                            6989
                          Candidates answer on the Answer Sheet                                           Friday 11 June 2010
                          OCRSuppliedMaterials:                                                                             Morning
                          –    AnswerSheet(MS4)
                                                                                                                   Duration: 2 hours
                          Other Materials Required:
                          –    Eraser
                          –    RoughPaper
                          –    Scientific calculator
                          –    Soft pencil                                                                       6989
                                                                                                            *                      *
                                                                                                             * 6 9 8 9 *
                      INSTRUCTIONSTOCANDIDATES
                      –     Write your name clearly in capital letters, your Centre Number and Candidate Number on the Answer Sheet
                            in the spaces provided unless this has already been done for you.
                      –     Readeachquestion carefully and make sure that you know what you have to do before starting your answer.
                      –     Donotwrite in the bar codes.
                      –     There are forty questions in this paper. Attempt as many questions as possible. For each question there are
                            four possible answers, A, B, C and D. Choose the one you consider correct and record your choice in soft
                            pencil on the separate Answer Sheet.
                      –     Readverycarefully the instructions on the Answer Sheet.
                      INFORMATIONFORCANDIDATES
                      –     Eachcorrect answer will score one mark. A mark will not be deducted for a wrong answer.
                      –     Paper is provided for rough work; this should not be handed in.
                      –     This document consists of 24 pages. Any blank pages are indicated.
                      ¬OCR2010[100/2604/6]                           OCRisanexemptCharity
                      3R–9E07                                                                                                    Turn over
                                                              2
                              FormulaeSheet: 6989 Foundations of Advanced Mathematics
                                                                                           a
                  Areaoftrapezium„ 1Àa€bÁh                                                h
                                        2
                                                                                              b
                  Volumeofprism„Àareaofcross-sectionÁ×length                           cross-
                                                                                       section
                                                                                                  length
                  In any triangle ABC
                                                                                                    C
                  Sine rule       a   „ b „ c
                                sinA    sinB    sinC                                      b            a
                  Cosine rule      a2 „ b2 €c2 −2bccosA
                  Areaoftriangle „ 1absinC                                         A          c           B
                                     2
                                                                                                 r
                  Volumeofsphere„ 4πr3
                                       3
                  Surface area of sphere „ 4πr2
                  Volumeofcone„ 1πr2h                                                     l
                                     3                                                                 h
                  Curvedsurfaceareaofcone„πrl                                                     r
                  TheQuadraticEquation
                  Thesolutions of ax2 €bx€c „ 0,
                  where a ≠ 0, are given by
                  x „ −b±pb2−4ac
                            2a
           ¬OCR2010                                        6989 Jun10
                                                                3
           1    Three of the following statements are true and one is false. Which one is false?
                A Thenumber2010hasexactly4primefactors.
                B Thesquareof103 is106.
                C Thehighestcommonfactor(HCF)of42and70is14.
                D Thelowestcommonmultiple(LCM)of24and40is240.
           2    Three of the following statements are true and one is false. Which one is false?
                A À−2Á×À€4Á„À−8Á
                B À−6Á€À−4Á„À−10Á
                C À−2Á−À−4Á„À−6Á
                          2
                D À−3Á „À€9Á
                                                                                              4
           3    Whichoneofthefollowing is the correct answer to the calculation 1.7×10 ?
                                                                                             −2
                                                                                     6.8×10
                             2                         2                        5                        −6
                A 2.5×10                 B 4.0×10                 C 2.5×10                  D 4.0×10
           4    Peter, Richard and Sequoia shared a lottery win in the ratio 5 : 4 : 3 respectively. Sequoia received
                £288.
                Three of the following statements are true and one is false. Which one is false?
                A Richardreceived25%ofthewin.
                B PeterandRichardtogether received three times as much as Sequoia.
                C Thetotalamountofthewinwas£1152.
                D Peterreceived£480.
           ¬OCR2010                                          6989 Jun10                                    Turnover
                                                                4
           5    Three of the following statements are true and one is false. Which one is false?
                A 0.3461kilometres, correct to the nearest metre, is 346 metres.
                B 3478grams,correcttothenearest kilogram, is 4 kilograms.
                C 10.48seconds,correct to the nearest second, is 10 seconds.
                D 1928millimetres,correct to the nearest centimetre, is 193 centimetres.
           6    Youaregiven that a „ −3, b „ 2 and c „ −1.
                Three of the following statements are true and one is false. Which one is false?
                A      b   „−1
                     a€c       2
                B ab2„36
                C abc−3b„0
                D ab€bc€ca„−5
           7    Three of the following statements are true and one is false. Which one is false?
                A Theliney„3x€2cutsthex-axiswhenx„−2.
                                                                    3
                B Theline3x€4y„5hasgradient−3.
                                                         4
                C Theline x € y €2„0passesthroughthepointÀ2, 3Á.
                              2    3
                D Thelines8x−3y€2„0andy„2meetat1, 2
.
                                                                  2
           ¬OCR2010                                          6989 Jun10