GCSE数学试卷.pdf

SurnameCentre NumberCandidate SignatureCandidate NumberOther NamesLeave blankGeneral Certificate of Secondary EducationJune 2006MATHEMATICS(MODULAR)(SPECIFICATION B)43001/HAModule 1Higher Tier Section APractice Paper(Two-tier Specification)2008Time allowed for Section A:25 minutesInstructionsGUse blue or black ink or ball-point pen.Draw diagrams in pencil.GFill in the boxes at the top of this page.GAnswer all questions.GAnswer the questions in the spaces provided.GUse a calculator where appropriate.GDo all rough work in this book.GThis paper is divided into two sections:Section Aand Section B.GAfter the 25 minutes allowed for Section A,you must put yourcalculator on the floor under your seat.You will then be givenSection B.GWhen you have answered Section B you may work again onSection Abut you may not use your calculator.It must remain on thefloor under your seat.GAt the end of the examination tag Section Aand Section B togetherwith Section A on top.InformationGThe maximum mark for Section A is 20.GThe marks for questions are shown in brackets.GYou may ask for more answer paper and graph paper.These must betagged securely to this answer book.AdviceGIn all calculations,show clearly how you work out your answer.APW/PP08/43001/HAH43001/HAFor this paper you must have:Ga scientific calculatorGmathematical instrumentsGa treasury tagFor Examiner s Use123456789Section ASection BQuestionMarkQuestionMarkExaminer s InitialsTOTALTotal Section BTotal Section AAPW/PP08/43001/HA2LEAVEMARGINBLANKAnswer all questions in the spaces provided.1Beth records the time,in minutes,she spends doing homework each school night for threeweeks.473554506338497266625569694270Beth attempts to draw an ordered stem-and-leaf diagram to show these amounts.This is her diagram.Beth has made three mistakes in her diagram.Write down the mistakes she has made.Answer1.2.3.(3 marks)3Key 3 5 represents 35 minutes3584792504562369023LEAVEMARGINBLANKTurn over?APW/PP08/43001/HA32The number of magazines sold each day by a village shop is recorded for one month.Calculate the mean number of magazines sold each day.Answer.magazines(3 marks)Turn over for the next questionNumber of magazinesFrequency061729344351Total30APW/PP08/43001/HA4LEAVEMARGINBLANK53There are 475 girls in a school.The probability that a girl studies French is 0.6(a)How many girls study French?.Answer.(2 marks)(b)Altogether there are 900 pupils in the school.Every pupil studies either French or German.There are no pupils who study both.The probability that a boy studies German is 0.52Calculate the total number of pupils who study French.Answer.(3 marks)5LEAVEMARGINBLANKTurn over?APW/PP08/43001/HA4Jamie has a biased coin.The probability that it will land on heads isJamie throws the coin twice.(a)Complete the tree diagram to show all the probabilities.(3 marks)(b)Calculate the probability that the coin lands on heads at least once.Answer.(3 marks)Turn over for the next question625First throw Second throwHeadTailAPW/PP08/43001/HA6LEAVEMARGINBLANK3Copyright?2006 AQA and its licensors.All rights reserved.5The histogram shows the heights of a number of people who wanted to be dancers in a show.There were 17 people between the heights of 165 cm and 170cm.Those people above 185 cm were not accepted for the show.Calculate an estimate of the number of people who were not accepted.Answer.(3 marks)END OFSECTION A150155160165170175180185190195200Height(cm)Frequencydensity