国际学校入学考试卷(1)

1、2018 - 2019 Entry EXamination PaPerCandidate Name: Score:/50MATHEMATICSOctober/ 2018PaPer(Core)30 minutes Candidates answer on the Question PaPer. Additional Materials: Electronic calculator Geometrical instruments Tracing PaPer (oPtional)READ THESE INSTRUCTIONS FIRSTWrite your Class number and name

2、 on all the work you hand in. Write in dark blue or black Pen.You may use an HB Pencil for any diagrams or graPhs.Do not use staPles, PaPer cliPs, glue or correction fluid.DO NOT WRITE IN ANY BARCODES.Answer all questions. If working is needed for any question it must be shown below that question. E

3、lectronic calculators should be used. 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 , use either your calculator value or 3.142.1、PleaSe choose the CorreCt On

4、e(10').1)What is the minimum value of f xSin xcosx ().(A) -1(B)-1/2(C)12(D) 12) Po in t(3,-8)a nd(8,七)are two PointSon the quadratic functionx2 bx C ,the axis ofSymmetry is (A) x=4).(B x=3(C) x=-5(D)x=-13) Un is an arithmetic SeqUence With POSitiVe difference ,if U1+U2+U3=15, U1U2U3=80,soU11+U12

5、+U13=()(A) 120(B)1054) If log a3> log b3>0,so ()(A) 0< a< b < 0(B)1< a< b(C)90(D) 75(C)0< b V av 0(D) )1 < b < a5) A PIaStiC toy is conSiStS of a right CirCUIar cylinder and Cone as shown in the picture. The radius of Coneand cyli nder is 4 cm. The height of cyli nder a

6、nd Cone are 18 Cm and 9 Cm respectively. If3denSity of PIaStiC is 1 grams Per Cm , find the Weight of PIaStiC toy. (ASSUme )=22/7)(B) 0.528kg2、Fill the blank(5(C) 2.112kg(D) 1.105kg')1)The graph of quadratic function2ax bx Ca 0 as ShOWed ,which are COrreCta Ob 0C 0b24ac:2 sin260°2)2sin30

7、76; -16 =-3 tan30 ° -2cos245 °3)a,b and C are three SideS of ABC C=90° ,a+b=14, c=10 , the area of ABC=4) (-1)1?(-1)2?(-1)3?-? (-1)99?(-1)100= 5)If the graph y=x is tran SIated 2 Un its to the left ,what is the expressi On3、(i) EXPreSS-X2+6x- 5 in the form a(x + bf+c, Where a, b and C

8、 are COnStant The fun Cti On f : X-x2+6x- 5 is defi ned for x m, Where m is a con Sta nt.(ii) State the smallest value of m for WhiCh f is OneOne.(10 ').(iii) For the CaSe Where m=5,find an expression for - f(x),State the domain of f -14、The funCtion f is SUCh that f 'x)= 3x 2 -7 and f(3) = 5. Find f 'x).(5 ').5、GiVen f : X