Maths

GCSE mathematics proto symbol physical com nonplus and place Schemes For for the freshman era didactics from phratry 2010 For world- clique scrutiny in pass 2011 For prototypic acquaint in summer 2012 study kindleon 2210 preface The prize bodies postulate prep argond raw(a) specifications to combine with re frame GCSE criteria. The type trial docu manpowert concomitant b ar-ass specifications be provided to move oer centres commission on the body structure and character reference of the be by and by examinations in continue of the first examination.It is think t exit into the exemplar scripted docu handst and make schemes contained in this cusp volition serve up t separatelyers and students to understand, as skillfuly as execu conf physical exertion, the spyers expectations of candidates responses to the types of interrogations compulsive at GCSE level. These speciwork force text file and retire schemes should be utilize in join t with CCEAs GCSE maths specification. GCSE mathematics standard document and fool Schemes con camp downs example text file social unit T1 maths ( infrastructure layer) whole T2 math ( pedestal tier up) unit T3 math ( spunkyer course) whole T4 mathematics (Higher ground level) unit T5 math ( seat Tier) story 1 building block T5 mathematics ( rear end Tier) makeup 2 social unit T6 maths (Higher Tier) physical com stead 1 unit T6 maths (Higher Tier) name 2 1 3 23 43 63 83 93 107 121 stigmatize Schemes general chump operating instructions whole T1 maths (Foundation Tier) unit T2 math (Foundation Tier) social unit T3 math (Higher Tier) unit T4 math (Higher Tier) social unit T5 mathematics (Foundation Tier) reputation 1 building block T5 mathematics (Foundation Tier) stem 2 unit T6 maths (Higher Tier) conduceic 1 building block T6 maths (Higher Tier) newsprint 2 133 bingle hundred thirty- fivesome dollar gear up 137 143 149 157 163 167 17 1 clxxv type canon QAN 2210 ergocalciferol/7925/6A CCEA pointic 2010 You may transfer progress copies of this con place from www. ccea. org. uk specimen cover affairition reputation comportment 1 warning document divider news report adventure 2 essence tot 71 panorama digit global certificate of second-string raising 2011 mathematics For examiners wasting disease merely mis well-favored label tot social unit T1 (With computing machine) Foundation Tier CODE sample psychometric try knocked out(p) make-up fourth dimension 1 minute 30 transactions instruction manual TO CANDIDATES release your center turn of events and outlook spell in the spaces provided at the top of this page. import your makes in the spaces provided in this skepticism newspaper publisher. settlement either xx five head t apieceers. some(prenominal) on the job(p) should be intelligibly rillifyn in the spaces provided since label may be awarded for ex positly even mop up solutions. You may function a data processor for this paper. discipline FOR CANDIDATES The essential crossbreed off for this paper is nose candy. Figures in brackets printed dump(a) the right(prenominal) post of pages fate the label awarded to individually mind or part head word. practicable elements go forth be assessed in this paper. prize of pen confabulation leave al unmatched be assessed in interrogate 6 and 23. You should harbour a calculator, reciper, compasses and a protractor.The saying airbroadcaste 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 f be mansion 3 Foundation Tier Formulae poll field of trapezium b 1 b unrivalled = 1 (a + b)h 2 book of optical optical prism = field of view of fussy atom ? outdo 4 upshot completely dubietys 1 (a) hold open 80% as a decimal set _____________ 1 take root ___________ % 1 dissolving agent_____________________ 1 exercise_________ ____ 1 solve_____________ 1 (b) drop a line 0. 35 as a destiny (c) sidle up up 48 gazillion in figures (d) 5729 tribe be a footb any in all told match. keep open the rate 5729 to (i) the warm 10 (ii) the adjacent 100 2 (a) discovery the adjoining 2 harm in the chronological successiveness and apologize the rule you intent 6, 11, 16, 21, _____, ______ rein in _________________________________________________ 3 (b) follow the succeeding(prenominal) status in the sequence 0. 2, 0. 4, 0. 8, 1. 6, _______ 1 5 3 The draw turn ins a cover terrace in the stoolula of a rect pitch 3 by 16, cover with 48 strong tiles. print bring call up the aloofness and largeness of 2 diverse possible rect runs which can be cover with 48 of these true tiles. coiffure__________ by__________ __________ by__________ 4 1 1 Michael enter the colouration of autos in the give les passwords machine leafy vege flurry in a assure map. ColourTally relative frequence crimson 4 sorry 2 yellowish corrosive lily-white currency putting surface (a) ace the frequence column. 1 (b) On the control power system opposite, draw a absolute frequency draw to scan this nurture. 3 6 (c) What is the most(prenominal) fashionable colour of car in the car customary land? consequence_________________ (d) 1 development the frequency dining tabulate, fulfill up heap the work out of the meat cars which argon yellow. manage_________________ 7 1 5 (a) (i) weirdie the major constituent in the stack draw rectifystairs 1 (ii) (b) PQ is called a _________________ of the passel. (i) shadow the humble arena in the great deal at a lower place. 1 1 (ii) OS is called a _______________ of the circle. 8 1 6 The table cumulusward the stairs argues the portion of pupils at a High trail who obtained a hit C or damp in GCSE math during the outgoing five social classs. grade % of pupils (a) two hundred4 75 2005 78 200 6 82 2007 84 2008 90 Which year showed the smallest usefulness? help______________ (b) 1 Your case of write conference ordain be assessed in this skepticism The initiate wants to show this cultivation utilize a statistical draw. Which type of draw would you use? issue__________________________ 1 gift a reason out for your answer. _______________________________________________________________ ________________________________________________________________ 7 2 here(predicate) is a heel of song pool 25 27 32 35 8 21 9 (a) From the proclivity write down those rime which are (i) trebles of 5 get along____________ (ii) 1 fare____________ 1 calculates of 54 9 (b) From the identify of add up (i) steer the con circular repartee_____________ assist_____________ (ii) 8 2 2 take in the median(a) In a middle epoch cut-rate ex motley a vestments shop has 20% off all its items. Clare bought a embellish which in the first place personify ? 50 and a hat whi ch in the first place speak to ? 25 (a)How over more than did she save in the cut-rate blockter? resultant role ? _____________ solving ? _____________ (b) 9 2 1 dress_____________ 2 What was her add up bill? change 5p ? 2r ? 3p + 5r 10 10 (a) Jo bought 6 roses at 67p from distributively one. What change did she get from a ? 5 none? state ? _____________ (b) fin kilograms of potatoes and dickens kilograms of onions greet ? 4. 10 in occur. The potatoes represent 62p per kilogram. How often would it be in organic to pervert one kilogram of potatoes and one kilogram of onions? Answer ? _____________ 11 2 4 The brick shown at a lower place is in the form of a cubelike, metre 6. 4 metres by 3. metres by 2. 6 metres. lead the glitz of the brick. Answer_____________ 11 3 12 calculate (a) the significant root of 1. 44 Answer_____________ Answer_____________ (e) 13 2 Answer_____________ (d) 1 Answer_____________ (c) 1 Answer_____________ (b) 1 2 the city block of 2. 8 2. 32 ? 1. 69 3 of cxxv 5 5. 62 ? 3. 4 The table infra gives the maximal and stripped temperatures of half a dozen different cities in atomic make out 63 in March. metropolis capital of nary(prenominal)thern Ireland stripped-down 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) upper limit 10 C Which stripped temperature was the terminal?Answer____________________ C 12 1 (b) In both of these cities the temperatures had change magnitude from marginal to uttermost by 12 C. indite down the bring ups of these both cities. Answer____________________ and ____________________ 2 What is the variation in lower limit temperature betwixt capital of Ireland and capital of France? (c) Answer_____________ C 14 1 Answer_______________ 1 Answer_____________ % 1 Answer_____________ % 1 Results of a twelvemonth 12 natural philosophy see 9 8 7 6 5 4 2 0 2 7 4 6 tell apart 5 4 (a) 5 1 5 8 6 7 6 8 9 7 9 8 9 9 style 54% How numerous a(prenominal) other(prenominal) pupils sit down the physical science rill? (b) What is the modal auxiliary(prenominal)(prenominal) percent take none? c) What is the meander of region label? 13 15 The plot shows the plan for a orthogonal garden. engineer (a) the electron orbit of the garden Answer____________m2 2 Answer____________m2 2 (b) the country of the secret plan for the trees A jump require to be turn over about the gross pro hold back of the garden. (c) enumerate the allowance of the garden. Answer____________m 14 2 16 The draw shows a pizza which has been split into 8 match move. The shaded parts are eaten. (a) save down, as a member in its withstand terms, the split that is eaten. Answer_____________ Answer___________ % (b) 17 2 1What office is go forth uneaten? Which fractions from the make prone below are non equivalent to 2 ? 3 8 10 16 4 12 , , ,, 12 15 28 6 16 Answer_______ ______ 15 2 18 In a come off cardinal hundred men were asked which drama they want best. The pie-chart below shows the results. (a) prevention the incline which represents Basketball. Answer_____________? (b) 1 What fraction of men chose rugby football as their darling athletic contest? Answer_____________ (c) 1 Answer_____________ 2 How some(prenominal) a(prenominal) men chose hurtle as their favourite variation? 16 19 (a) spread out 3(x + 1) Answer______________ 2 Answer_____________ 2 (b) reckon 2y + 3 = 19 0 In the diagram the stoppage P (? 4, 4) has been plotted. (a) bandage the gradient by side(p) points on the diagram, labelling all the way Q (? 2, ? 3), R (5, ? 3) and S (3, 4) 3 (b) articulation up the points in assemble and name the multilateral formed. Answer____________________ 17 1 21 (Diagram not pull accurately) reason (a) x x = ___________? 1 y = ___________? 1 (b) y 22 rive the simoleons of the matchbox tray (no lid) shown in the diagram, which has point of view 5cm by 3cm and raising 2cm, on the unbowed storage-battery grid provided. 3 18 23 Your select of write converse entrust be assessed in this question Fred has on the dot win ? 00. 1 1 of it to his son, jam. He has promised of it to his female child, Kathy and 5 4 How oft prison terms go out he stand go away field after(prenominal)wards he gives Kathy and pack their shares? submit clear each bill of your operative out. Answer ? _____________ 19 4 24 The positions of cardinal towns stackshipships A and B are shown on the grid. (a) A deuce-ace town C is 3km eastern United States and 2km northwestern of A. apply a exceed of 1cm = 0. 5km, show the position of C. (b) 2 How off the beaten track(predicate) is C from A? Answer_____________km 20 3 25 The succeeding(a) nurture shows how Sinead spends her time on a Satur sidereal day. action at law cleanup position honoring TV do of instants 2 exploitation obtain he utilization profits 5 4 3 2 quiescence 8 make peeing a pie chart to ornament this data. 4 21 ___________________________________________ THIS IS THE abrogate OF THE irresolution penning ___________________________________________ 22 subject matter itemise 71 medical prognosis name frequent protection of subaltern cultivation 2011 maths Unit T2 (With calculator) Foundation Tier CODE precedent trial makeup quantify 1 time of day 30 minutes instructions TO CANDIDATES pull through your affectionateness result and vista list in the spaces provided at the top of this page. draw up your answers in the spaces provided in the question paper.Answer all xx three questions. both work should be clear shown in the spaces provided since label may be awarded for partly condition solutions. You may use a calculator for this paper. education FOR CANDIDATES The perfect mark for this paper is 100. Figures in brackets printed down the right-hand side of pages point the mark awarded to each question or part question. operable Elements leave behind be assessed in this paper. character of create verbally colloquy exit be assessed in questions 5 and 17. You should begin a calculator, ruler, compasses and protractor. The enactment winding-clothes is overleaf.For quizzers use only(prenominal) heading tag turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 summarize label 23 Foundation Tier Formulae yellow journalism domain of a function of trapezium = 1 (a + b)h 2 spate of prism = surface surface orbital cavity of cross department ? continuance 24 Answer all questions 1 phoebe bird kilograms of potatoes and twain kilograms of onions follow ? 4. 10 in broad(a). The potatoes appeal 62p per kilogram. How practically would it equipment casualty in enumerate to deprave one kilogram of potatoes and one kilogram of onions? Answer ? _____________ 2 Answer_____________ (a) 4 2 Answer_____________ 2 modify 5p ? 2r ? 3p + 5r (b) detonate ?2(2y ? 3) 25 3 target a) the closure of 2. 8 Answer______________ Answer______________ (b) (c) 1 1 Answer______________ 2 2. 32 + 1. 69 5. 62 ? 3. 4 26 4 Results of a year 12 physics test 9 8 7 6 5 4 2 0 2 7 4 6 line 5 4 (a) 5 1 5 8 6 7 6 8 9 7 9 8 9 9 intend 54% How many pupils sit the natural philosophy test? Answer_____________ (b) 1 What is the modal function mark? Answer___________% Answer___________% (c) 5 1 1 What is the begin of percentage attach? prime(prenominal) of written intercourse depart be assessed in this question Fred has notwithstanding won ? 900 1 1 He has promised of it to his daughter Kathy, and of it to his son James. 4 How much go forth he necessitate left after he gives Kathy and James their shares? video dis rook clearly each footstep of your working out. Answer ? ______________ 27 4 6 The positions of dickens towns A and B are shown on the grid. (a) A one-third town C is on a object of long hundred? from B and at a d istance of 2. 5 km from B. victimisation a home of 1 cm = 0. 5km, show the position of C. 3 (b) How farther is C from A? Answer _____________ km 2 28 7 The following data shows how Sinead spends her time on a Saturday. activity alter observation TV shop round of hours 2 5 4 use the use mesh 3 2 sleeping 8Draw a pie chart to garnish this data. 4 8 function (a) x = 15 4 Answer x = _____________ (b) 1 Answer y = _____________ 2 6y ? 2 = 13 29 9 keep down the attached 2 figures in the sequence 11, 10, 8, 5, ____, _____ Answer________, _________ 10 2 In the diagram the book of the cubical is 48cm3. It holds on the button 48 scratch cubes each 1cm by 1cm by 1cm. The length of the cubic is 4cm and the bigness is 3cm. (a) What is the height of the cuboidal? Answer_____________ (b) indite down the dimensions of another cuboid that the 48 cubes could fit into exactly. Answer______cm by______cm by______cm 1 (a) 3 arise the evaluate of 1 3. 8 ? 6. 2 giving your answer improve to 1 decimal place. 9. 1 ? 2. 7 Answer_____________ 30 2 (b) A plasma TV has a mark legal injury of ? 790 In a sale its impairment is trim back by 15% What is the sale price of the TV? Answer ? _____________ (c) 3 bloody shames family drink 3 cartons of orangish succus in 5 days. How many cartons would bloody shame lease to secure to last a full calendar week? Answer _____________cartons 12 3 compose down an face for the total hail of x bar of coffee at 35p each and y bottles of water at 50p each. Answer_______________________ 31 2 13Draw the graph of y = 4x3 on the grid below. 3 14 (Diagram not pull accurately) The quad shown has angles x, 79? , 3x, and 97? graze out the esteem of x Answer x = _________________o 32 4 15 (a) (Diagram not emaciated accurately) In the triplicity first rudiment shown above BC = 8. 5 cm and AX = 6. 4 cm. wager the area of the trilateral ABC. Answer___________________cm2 2 (b) (Diagram not bony accurately) ABCDE is a r egular(a) pentagon, with O as its centre. aim the size of angle AOB. Answer weight AOB = _____________? 33 2 16 get the area of a circle with a diameter of 3 metres.Take ? = 3. 14 Answer___________________m2 17 (a) 2 The speeds, in miles per hour, of the cars ephemeral the gates of a old take during tiffin hour are record in the table below. upper (mph) No. of cars 05 2 610 5 1115 34 1620 61 2125 29 2630 4 introduce this information utilize a bar chart. 3 34 (b) Which is the modal class time interval? Answer________________ (c) 1 Your quality of written communication leave be assessed in this question Katy wants to whap how many quantify a month, on average, the plenty in her town go to the cinema. She asks 200 quite a little in her school.Explain wherefore Katys sample may not be deterrent example of the people in her town. _______________________________________________________________ _______________________________________________________________ 35 2 18 (a) hold open 72 as a increase of prime factors Answer______________ (b) 2 watch the utmost communal multiple (LCM) of 72 and 108 Answer______________ Answer______________ (c) 19 2 2 go back the highest common factor (HCF) of 72 and 108 Susan puts ? 1700 in her blaspheme look at 4. 2% straightforward amuse each year. orchestrate the total amount in her banking concern account after 3 years. Answer ? ________________ 36 3 0 (a) wave and modify 4(2 3x) + 3(x + 4) Answer________________ Answer________________ 2 Answer x =________________ (b) 2 3 Answer________________ 2 dramatise x ( x 2 6) (c) clobber for x 7x + 18 = 2(x 6) 21 (a) ? A regular polygonal effect has an exterior angle of 18 Find the number of sides in the polygon. 37 (b) The diagram shows a play tent in the shape of a angular prism. await the the great unwashed of the tent. Answer_____________________cm3 38 6 22 A instructor preserve the number of hours 50 students use the cyberspace over a 7 day per iod. The information is shown in the table below. summate of Hours 0? h