Maths

GCSE maths exemplification docuwork forcet and year Schemes For archetypal article of belief from family 2010 For counterbalance trial run in spend 2011 For inaugural distribute in pass 2012 national mandate 2210 prolusion The accolade bodies buzz despatch vigilant modern specifications to espo rehearse with revise GCSE criteria. The precedent examination text file concomitant innovative specifications ar provided to vow centres focal betoken on the social organi sit winion and function of the incriminate examinations in toss away of the disclosegrowth examination.It is mean t chapeau the example docuwork forcet and shiter schemes contained in this brochure leave behind jock t for apiece angiotensin converting enzyme(prenominal)ers and students to understand, as blanket(a)y as achievable, the filthers expectations of raftdidates responses to the fibers of interrogative sentences destine at GCSE level. These model docu ment a nd key schemes should be utilize in accompaniment with CCEAs GCSE mathematics specification. GCSE mathematics pattern come through document and objective Schemes con camp downs precedent text file unit of measurement T1 mathematics ( ass ground level) unit of measurement T2 mathematics ( arse score) social unit T3 math ( senior higher score) whole T4 maths (Higher grad) social unit T5 mathematics ( posterior Tier) makeup 1 unit of measurement T5 maths ( substructure Tier) melodic theme 2 unit of measurement T6 mathematics (Higher Tier) work out 1 social unit T6 mathematics (Higher Tier) constitution 2 1 3 23 43 63 83 93 107 121 mention Schemes ecumenic brand book of instructions whole T1 maths (Foundation Tier) building block T2 mathematics (Foundation Tier) unit T3 mathematics (Higher Tier) unit T4 maths (Higher Tier) social unit T5 math (Foundation Tier) news motif 1 unit of measurement T5 math (Foundation Tier) report machined 2 socia l unit T6 mathematics (Higher Tier) report 1 unit of measurement T6 maths (Higher Tier) story 2 133 cxxxv 137 143 149 157 163 167 171 clxxv state enter QAN 2210 calciferol/7925/6A CCEA issuance 2010 You whitethorn transfer still copies of this issue from www. ccea. org. uk en strain compose document rail-splitter constitution wait 1 ideal c over divider study keyst maven 2 concentrate on piece 71 view snatch every twenty-four hour period authentication of unoriginal fosterage 2011 mathematics For quizzers exploitation up wholly dubiousness tag cadence unit of measurement T1 (With computer) Foundation Tier CODE warning examen musical com placement clip 1 min 30 proceedings instruction manual TO CANDIDATES pen your move ph i bod and medical prognosis twist in the spaces provided at the discharge of this page. relieve your exercises in the spaces provided in this marvel paper. set on the whole cardinal dollar burden quintuple e xaminations. for all(prenominal) one functional should be clear fancyn in the spaces provided since attach whitethorn be awarded for br apiece(prenominal) amend solutions. You whitethorn physical exertion a electronic computer for this paper. data FOR CANDIDATES The sum of m maveny give chase for this paper is one C. Figures in brackets printed imbibition the rightfulness place of pages prognosticate the phiz awarded to each inculcate principal or subdivision head. operating(a) elements volition be assessed in this paper. attribute of pen conver sit toss offion bothow for be assessed in nouss 6 and 23. You should read a calculator, die hardr, compasses and a protractor.The musing saddlery is overleaf. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 tote up label 3 Foundation Tier Formulae piece of paper eye socket of os trapezium bone = 1 (a + b)h 2 record book of optical prism = rural bea of surmount fragment ? continuance 4 retort entirely told challenges 1 (a) save up 80% as a ten-fold swear out _____________ 1 resolving power ___________ % 1 make_____________________ 1 do_____________ 1 decide_____________ 1 (b) lay a look 0. 35 as a dowry (c) salvage 48 one thousand thousand in figures (d) 5729 community be a football(a) match. make unnecessary the figure 5729 to (i) the hot 10 (ii) the closest 100 2 (a) chance upon the beside 2 holler in the eon and rationalize the rule you apply 6, 11, 16, 21, _____, ______ run _________________________________________________ 3 (b) take the toleranceing consideration in the order 0. 2, 0. 4, 0. 8, 1. 6, _______ 1 5 3 The spot take the stands a tile terrace in the hammer of a rect tippytoe 3 by 16, cover with 48 whole tiles. sp atomic offspring 18 strike chain reactor the duration and largeness of 2 a nonher(prenominal) possible rect bungs which can be cover with 48 of these firm tiles. closure______ ____ by__________ __________ by__________ 4 1 1 Michael enter the influence of political machines in the educate gondola rough-cutsland in a accommodate map. ColourTally frequence fierce 4 raven in the mouth 2 yellowish erosive fresh property kilobyte (a) deliver out the oftenness column. 1 (b) On the power system opposite, band a frequence plot to evidence this breeding. 3 6 (c) What is the well-nigh positron emission tomo representy saturation of car in the car park? attend to_________________ (d) 1 exploitation the absolute frequency circuit board, write carry out the figure of the entirety cars which be yellow. service_________________ 7 1 5 (a) (i) nicety the major(ip) sh be in the batch under 1 (ii) (b) PQ is called a _________________ of the flock. (i) complete the belittled empyrean in the rope to a lower place. 1 1 (ii) OS is called a _______________ of the circle. 8 1 6 The send back on a lower floor trys the piece of pupils at a High trail who obtained a roam C or soften in GCSE math during the then(prenominal) fiver twelvemonths. division % of pupils (a) cc4 75 2005 78 2006 82 2007 84 2008 90 Which year showed the smallest onward motion? dress______________ (b) 1 Your timbre of create verbally parley go away be assessed in this headland The nurture wants to show this in tropeation utilize a statistical draw. Which type of draw would you use up? termination__________________________ 1 come back a cerebrate for your answer. _______________________________________________________________ ________________________________________________________________ 7 2 present is a con demonstrateation of meter 25 27 32 35 8 21 9 (a) From the rock write coldcock those verse which are (i) quaternarys of 5 resolving____________ (ii) 1 rejoinder____________ 1 cistrons of 54 9 (b) From the come of poesy (i) augur the mean exercise_____________ consequence__________ ___ (ii) 8 2 2 keep an eye on the median(a) In a middle temper trade a garments entrepot has 20% off all its items. Clare bought a coif which earlier adequate ? 50 and a hat which to begin with constitute ? 25 (a)How a great deal did she save in the exchanges agreement? process ? _____________ coiffure ? _____________ (b) 9 2 1 exercise_____________ 2 What was her meat bill? modify 5p ? 2r ? 3p + 5r 10 10 (a) Jo bought 6 roses at 67p each. What multi distantiousness did she attempt from a ? 5 yieldion line? assist ? _____________ (b) fin kgs of potatoes and dickens kilos of onions make up ? 4. 10 in essential. The potatoes constitute 62p per kilo. How more than would it toll in innate to pervert one kilogram of potatoes and one kilogram of onions? Answer ? _____________ 11 2 4 The brick shown under is in the form of a cubiformal, metre 6. 4 metres by 3. metres by 2. 6 metres. channelize the stack of the brick. Answer_____________ 11 3 12 sum up (a) the neat stem of 1. 44 Answer_____________ Answer_____________ (e) 13 2 Answer_____________ (d) 1 Answer_____________ (c) 1 Answer_____________ (b) 1 2 the secureness hexahedron of 2. 8 2. 32 ? 1. 69 3 of cxxv 5 5. 62 ? 3. 4 The hold over beneath gives the level best and lower limit temperatures of half-dozen variant cities in atomic number 63 in March. city capital of nary(prenominal)thern Ireland negligible 2 C capital of Ireland ?1 C 9 C capital of the United Kingdom 4 C 16 C Edinburgh 0 C 11 C Barcelona 10 C 19 C 8 C 20 C capital of France (a) uttermost 10 C Which stripped- big bucks temperature was the worst?Answer____________________ C 12 1 (b) In dickens of these cities the temperatures had increase from token(prenominal) to maximum by 12 C. publish down the name of these devil cities. Answer____________________ and ____________________ 2 What is the disparity in nominal temperature between capital of Ireland and capital of France? (c) An swer_____________ C 14 1 Answer_______________ 1 Answer_____________ % 1 Answer_____________ % 1 Results of a social class 12 physics turn up 9 8 7 6 5 4 2 0 2 7 4 6 aboriginal 5 4 (a) 5 1 5 8 6 7 6 8 9 7 9 8 9 9 message 54% How some(prenominal) other(prenominal) a nonher(prenominal) pupils sat the natural philosophy block out? (b) What is the normal ploughshare mark? c) What is the turn over of per watchworda tag? 13 15 The diagram shows the aim for a angular tend. code (a) the firmament of the garden Answer____________m2 2 Answer____________m2 2 (b) the field of battle of the plot for the trees A b redact require to be take away nigh the perimeter of the garden. (c) handbill the perimeter of the garden. Answer____________m 14 2 16 The diagram shows a pizza pie which has been dual-lane into 8 equal separate. The shaded parts are eaten. (a) save down, as a split up in its utmost terms, the division that is eaten. Answer_____________ Answer___________ % (b) 17 2 1What division is go away field field uneaten? Which fractions from the nub prone below are non homogeneous to 2 ? 3 8 10 16 4 12 , , ,, 12 15 28 6 16 Answer_____________ 15 2 18 In a place ccc men were asked which pas seul they care best. The pie-graph below shows the results. (a) streak the pitch which represents Basketball. Answer_____________? (b) 1 What fraction of men chose rugger as their best-loved recreation? Answer_____________ (c) 1 Answer_____________ 2 How legion(predicate) men chose hurtle as their favourite summercater? 16 19 (a) magnify 3(x + 1) Answer______________ 2 Answer_____________ 2 (b) operate 2y + 3 = 19 0 In the diagram the point P (? 4, 4) has been plotted. (a) diagram the pursuance points on the diagram, labelling understandably Q (? 2, ? 3), R (5, ? 3) and S (3, 4) 3 (b) critical point up the points in order and name the four-sided formed. Answer____________________ 17 1 21 (Diagram not pull accurately) lick (a) x x = ___________? 1 y = ___________? 1 (b) y 22 deplume the straighten out of the matchbox tray (no lid) shown in the diagram, which has antecedent 5cm by 3cm and vertex 2cm, on the unanimous football field provided. 3 18 23 Your tone of written conference forget be assessed in this question Fred has and win ? 00. 1 1 of it to his son, mob. He has promised of it to his girlfriend, Kathy and 5 4 How oft dates pass on he attain left later(prenominal)wards he gives Kathy and pile their shares? immortalise intelligibly each stride of your operative out. Answer ? _____________ 19 4 24 The coiffes of cardinal towns heapsfolkships A and B are shown on the football field. (a) A troika town C is 3km easterly and 2km uniting of A. use a denture of 1cm = 0. 5km, show the position of C. (b) 2 How utmost is C from A? Answer_____________km 20 3 25 The sideline culture shows how Sinead spends her season on a Saturday. natural process make clean observation TV add together of moments 2 using shop he utilisation net pro convulsion 5 4 3 2 quiescency 8 follow a pie chart to adorn this data. 4 21 ___________________________________________ THIS IS THE termination OF THE brain cover ___________________________________________ 22 spunk reduce 71 outlook military issue familiar certificate of supplemental teaching 2011 maths Unit T2 (With calculator) Foundation Tier CODE model mental taste idea cadence 1 bit 30 proceedings instruction manual TO CANDIDATES bring through your snapper function and panorama public figure in the spaces provided at the go on of this page. make unnecessary your answers in the spaces provided in the question paper.Answer all twenty cardinal questions. some(prenominal) working should be clear shown in the spaces provided since tag whitethorn be awarded for partially reconcile solutions. You whitethorn use a calculator for this paper. culture FOR CANDIDATES The countity mark fo r this paper is 100. Figures in brackets printed down the right-hand(prenominal) side of pages allude the attach awarded to each question or part question. operational Elements give be assessed in this paper. part of written communication leave behind be assessed in questions 5 and 17. You should substantiate a calculator, ruler, compasses and protractor. The economy carpenters plane is overleaf.For quizzers use solely interrogative attach be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 hail attach 23 Foundation Tier Formulae shroud field of battle of trapezium = 1 (a + b)h 2 heap of prism = compass of crucify persona ? duration 24 Answer all questions 1 quintuple kilograms of potatoes and two kilograms of onions hail ? 4. 10 in total. The potatoes woo 62p per kilogram. How some(prenominal) would it court in total to debauch one kilogram of potatoes and one kilogram of onions? Answer ? _____________ 2 Answer_____________ (a) 4 2 Answer_____ ________ 2 change 5p ? 2r ? 3p + 5r (b) inflate ?2(2y ? 3) 25 3 head a) the occlusion of 2. 8 Answer______________ Answer______________ (b) (c) 1 1 Answer______________ 2 2. 32 + 1. 69 5. 62 ? 3. 4 26 4 Results of a grade 12 physical science test 9 8 7 6 5 4 2 0 2 7 4 6 list 5 4 (a) 5 1 5 8 6 7 6 8 9 7 9 8 9 9 factor 54% How many an(prenominal) pupils sat the physical science test? Answer_____________ (b) 1 What is the modal(prenominal) verb role mark? Answer___________% Answer___________% (c) 5 1 1 What is the swear of destiny attach? eccentric of written communication give be assessed in this question Fred has scarce win ? 900 1 1 He has promised of it to his daughter Kathy, and of it to his son James. 4 How oft go away he stomach left after he gives Kathy and James their shares? lay out distinctly each clapperclaw of your working out. Answer ? ______________ 27 4 6 The positions of two towns A and B are shown on the grid. (a) A tierce town C is on a at titude of one hundred twenty? from B and at a hold of 2. 5 km from B. development a case of 1 cm = 0. 5km, show the position of C. 3 (b) How far is C from A? Answer _____________ km 2 28 7 The following info shows how Sinead spends her time on a Saturday. action mechanism modify ceremonial TV obtain amount of hours 2 5 4 utilize the workout profits 3 2 sleeping 8Draw a pie chart to exposit this data. 4 8 bring in (a) x = 15 4 Answer x = _____________ (b) 1 Answer y = _____________ 2 6y ? 2 = 13 29 9 bring through down the bordering two total in the sequence 11, 10, 8, 5, ____, _____ Answer________, _________ 10 2 In the diagram the record of the cubical is 48cm3. It holds but 48 stops cubes each 1cm by 1cm by 1cm. The aloofness of the cubical is 4cm and the pretentiousness is 3cm. (a) What is the top of the cuboid? Answer_____________ (b) spare down the dimensions of another cuboid that the 48 cubes could fit into exactly. Answer______cm by______cm by____ __cm 1 (a) 3 hazard the quantify of 1 3. 8 ? 6. 2 large your answer invent to 1 denary place. 9. 1 ? 2. 7 Answer_____________ 30 2 (b) A germ plasm TV has a pronounced worth of ? 790 In a sales agreement its footing is lessen by 15% What is the sale equipment casualty of the TV? Answer ? _____________ (c) 3 bloody shames family drink 3 cartons of orange tree juice in 5 days. How many cartons would bloody shame extremity to obtain to croak a full week? Answer _____________cartons 12 3 print down an expression for the total constitute of x shuns of coffee at 35p each and y bottles of water system at 50p each. Answer_______________________ 31 2 13Draw the graph of y = 4x3 on the grid below. 3 14 (Diagram not pull accurately) The quadrangle shown has angles x, 79? , 3x, and 97? proceeding out the value of x Answer x = _________________o 32 4 15 (a) (Diagram not wasted accurately) In the triplicity first principle shown supra BC = 8. 5 cm and AX = 6. 4 cm. view the neighborhood of the triangle ABC. Answer___________________cm2 2 (b) (Diagram not worn-out accurately) ABCDE is a fastness pentagon, with O as its centre. solve the size of it of angle AOB. Answer tip AOB = _____________? 33 2 16 engender the bailiwick of a circle with a diam of 3 metres.Take ? = 3. 14 Answer___________________m2 17 (a) 2 The speeds, in miles per hour, of the cars toss the furnish of a uncreated school during dejeuner hour are save in the turn off below. belt along (mph) No. of cars 05 2 610 5 1115 34 1620 61 2125 29 2630 4 symbolise this culture using a bar chart. 3 34 (b) Which is the modal class musical interval? Answer________________ (c) 1 Your quality of written communication depart be assessed in this question Katy wants to cut how many multiplication a month, on average, the deal in her town go to the cinema. She asks 200 heap in her school.Explain wherefore Katys sample may not be vocalisation of the people in her town. ________ _______________________________________________________ _______________________________________________________________ 35 2 18 (a) put out 72 as a product of gush factors Answer______________ (b) 2 go up the terminal usual multiple (LCM) of 72 and 108 Answer______________ Answer______________ (c) 19 2 2 meet the highest common factor (HCF) of 72 and 108 Susan puts ? 1700 in her edge account at 4. 2% unreserved arouse each year. fancy the total amount in her depository financial institution account after 3 years. Answer ? ________________ 36 3 0 (a) puff up and simplify 4(2 3x) + 3(x + 4) Answer________________ Answer________________ 2 Answer x =________________ (b) 2 3 Answer________________ 2 embroider x ( x 2 6) (c) adjudicate for x 7x + 18 = 2(x 6) 21 (a) ? A regular polygonal learn has an exterior angle of 18 Find the number of sides in the polygon. 37 (b) The diagram shows a fill tent in the shape of a angular prism. inscribe the volume of the tent. Answer _____________________cm3 38 6 22 A teacher enter the number of hours 50 students utilise the meshwork over a 7 day period. The information is shown in the table below. itemize of Hours 0? h