CCEA GCSE Specimen Assessment Materials For Mathematics

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GCSECCEA GCSE SpecimenAssessment Materials forMathematicsFor first teaching from September 2017For first assessment in Summer 2018For first award in Summer 2019Subject Code: 2210

ForewordCCEA has developed new specifications which comply with criteria for GCSE qualifications.The specimen assessment materials accompanying new specifications are provided to givecentres guidance on the structure and character of the planned assessments in advance ofthe first assessment. It is intended that the specimen assessment materials contained inthis booklet will help teachers and students to understand, as fully as possible, the markers’expectations of candidates’ responses to the types of tasks and questions set at GCSE level.These specimen assessment materials should be used in conjunction with CCEA’s GCSEMathematics specification.

GCSE MathematicsSpecimen Assessment MaterialsContentsSpecimen Papers3Unit M1: Calculator PaperUnit M5.1: Non-Calculator PaperUnit M5.2: Calculator Paper32943Unit M2: Calculator PaperUnit M6.1: Non-Calculator PaperUnit M6.2: Calculator Paper578193Unit M3: Calculator PaperUnit M7.1: Non-Calculator PaperUnit M7.2: Calculator Paper107127139Unit M4: Calculator PaperUnit M8.1: Non-Calculator PaperUnit M8.2: Calculator Paper151175185Mark Schemes199General Marking Instructions201Unit M1:Calculator PaperUnit M5.1: Non-Calculator PaperUnit M5.2: Calculator Paper205211215Unit M2:Calculator PaperUnit M6.1: Non-Calculator PaperUnit M6.2: Calculator Paper219225229Unit M3:Calculator PaperUnit M7.1: Non-Calculator PaperUnit M7.2: Calculator Paper233239243Unit M4:Calculator PaperUnit M8.1: Non-Calculator PaperUnit M8.2: Calculator Paper247253257

Subject CodeQAN2210603/1688/3A CCEA Publication 2017You may download further copies of this publication from www.ccea.org.uk

SPECIMEN PAPERS

Centre NumberCandidate NumberGeneral Certificate of Secondary Education2018MathematicsFor Examiner’suse onlyQuestionNumberM11Calculator Paper23Foundation Tier4[CODE]6SPECIMEN PAPER857910TIME111 hour 45 minutes.121314INSTRUCTIONS TO CANDIDATESWrite your Centre Number and Candidate Number in the spacesprovided at the top of this page.You must answer the questions in the spaces provided.Complete in blue or black ink only. Do not write with a gel pen.All working should be clearly shown since marks may be awarded forpartially correct solutions.Where rounding is necessary give answers correct to 2 decimal placesunless stated otherwise.Answer all thirty questions.15161718192021222324INFORMATION FOR CANDIDATES25Functional Mathematics is assessed in this unit.The total mark for this paper is 100Figures in brackets printed down the right-hand side of pages indicatethe marks awarded to each question or part question.You may use a calculator.The Formula Sheet is on page 4.32627282930TotalMarksMarks

FormulaFormulaSheetSheetArea of trapezium 1–2 (a b)hahbVolume of prism area of cross section lengthcrosssectionlength4

1Julie is a car-parking attendant.Examiner OnlyMarks Re-mark(a) Julie is paid 5.00 an hour.Last month she worked 36 hours.How much did Julie earn last month?Answer [1](b) Julie saves 15 each week towards a holiday.How many weeks will it take to save 300?Answer[1](c) Last week there were one thousand, three hundred and seven cars inthe car park.Write this number in figures.Answer[1](d) In June, 9271 people used the car park.What is this number rounded to the nearest hundred?Answer5[1]

2Ryan owns a shop in Dungannon.Examiner OnlyMarks Re-markRyan lives in Strabane.The table below shows distances in miles between towns.(a) How far does Ryan have to travel to his shop?AugherAugherDromore Dungannon Pomeroy eroy17249Strabane4023422222Answermiles [1](b) (i) On Friday, Ryan made a profit of one hundred and eight poundsand forty seven pence.Write this amount in figures.Answer [1](ii) On Saturday, Ryan increased his Friday profit by 10%.What profit did he make on Saturday?Answer 6[3]

3Frank is going on a holiday.Examiner OnlyMarks Re-markFrank’s suitcase measures 120 cm 60 cm 35.5 cm.Write these measurements in metres.4Answer [2] Frank leaves home at 5.45 am and drives to the airport.He arrives at 7.00 am.How long did his journey take?5Answer[1]The chart below shows the number of cars arriving at Dublin airport,to the nearest 100Times of arrival600Number of ximately how many cars arrived between 7 am and 12 noon?Answer7[2]

6The bar chart below shows the number of stalls each week in June and Julyat a summer fair.Number of stalls in June and July60Number of Stalls50403020100Week 1Key:JuneWeek 2Week 3Week 4July(a) Which week in July had the lowest number of stalls?Answer[1](b) In June how many more stalls were there in Week 3 than in Week 4?Answer[2](c) What was the mean number of stalls in July?Answer8[3]Examiner OnlyMarks Re-mark

7Amy uses triangular tiles to tile her kitchen floor.She has two types of tile: light tiles and dark tiles.2Examiner OnlyMarks Re-mark(a)What fraction of the floor is covered in dark tiles?What fraction of the diagram is shaded?Write your answer in its simplest form.Give your answer in its simplest form.Answer(b) Write 5672 to the nearest 100 Answer[2][2]Answer[1](c) Write down in figures the number forty-nine thousand and twenty-five.Answer9310*28GMT1104*9[1]

8What type of triangle is this?Examiner OnlyMarks Re-markCircle your answerequilateralisoscelesright-angledscalene[1]10

9(a) Josh is designing a logo for a sports company.Examiner OnlyMarks Re-markHe draws the logo on a 1 cm grid.Calculate the perimeter of the logo.Answercm [2](b) This net is folded to make a cube.Which letter will be opposite X?B EA X CDAnswer11[1]

10 Mary is baking scones.She compares the amount of milk required in 4 recipes.Examiner OnlyMarks Re-markRecipeAmount of milk requiredRecipe A1 cup25 cup83 cup41 cup4Recipe BRecipe CRecipe DWrite the recipes in order, starting with the recipe that requires the leastamount of milk.RecipeRecipeRecipe12Recipe[2]

11 Lynn is drawing a pictogram to show the number of cakes she sells.Type of cakeExaminer OnlyMarks Re-markKeyNumber of cakes 4 cakesChocolateCarrotCoffeeSponge(a) How many chocolate cakes did Lynn sell?Answer[1](b) How many more carrot cakes than coffee cakes did Lynn sell?Answer(c) Lynn sold 12 sponge cakes.Complete the pictogram to show this information.[1][1](d) Give one advantage of using a circle to represent 4 cakes.[1]13

12 (a) Write down the value of 2.32Answer[1](b) Show that 5 is the highest common factor of 10 and 15[2](c) Show that 23 is not a square number.[2]13 Here is a sign in a car park.CAR PARKPay machine takes these coins 2 150p20p10p5pLucy paid exactly 2.85She used six coins.She did not use any 1 coins.Show three different ways she could have paid.[3]14Examiner OnlyMarks Re-mark

14 The Ulster Rugby Club ticket prices for their match against Munster are:Examiner OnlyMarks Re-markAdult 16Child 6Senior Citizen 9A family spends 53 on tickets.They buy at least one of each type of ticket.How many of each ticket do they buy?AnswerAdultAnswerChildAnswerSenior Citizen15[3]

15 Three friends buy a restaurant.Examiner OnlyMarks Re-markGordon’s share is 35%Jay’s share is 14Gino pays 36 000How much does the restaurant cost?Answer [4]16 Solve the equations(a) 6x 24Answer x [1]Answer y [1](b) y – 8 1216

17 Calculate the volume of this cereal box.Include the correct units in your answer.Examiner OnlyMarks Re-markCereal6 cm26 cm19 cmAnswer17[3]

18 The chart below shows the types of stalls at the fair.Examiner OnlyMarks Re-markSTALLSHouseholdFoodClothesNew goods(a) Which is the most common type of stall?Answer[1](b) Jane estimates that there are twice as many clothes stalls as food stalls.Explain why Jane is correct.[1]18

19 Seven people spent the following amounts of money on their lunch.Examiner OnlyMarks Re-mark 5, 7, 4, 3, 9, 6, 7(a) Find the modal amount spent.Answer [1]Answer [2](b) Find the median amount spent.20 A clothes shop has a sale.Jeans – 1/3 offShirts – 20% off CCEAJohn buys a pair of jeans and a shirt in the sale.Before the sale the jeans were 54 and the shirt was 28How much in total did John pay?Answer 19[5]

21 Gareth has applied for a loan of 3,000 which has an APR of 6%.Examiner OnlyMarks Re-markOn application to the loan company, the APR he is offered is 8%.If Gareth pays back his loan at the end of one year, how much extra doesthe APR of 8% cost than the APR of 6%?Answer[3]22 The diagram shows two identical squares.Find the size of the angle x.x70 Diagram not drawn to scaleAnswer x 20[4]

23 Farrah’s mobile phone passcode is a four digit number.Examiner OnlyMarks Re-markAll four digits are different.The first digit is an even prime.The second and third digits have a sum of 8 and a product of 15The fourth digit is double the third digit.What is Farrah’s passcode?Answer[3]24 (a) Expand and simplify 7(2a 3) 3(4a – 2)Answer[2]Answer[1](b) Factorise 20d – 3521

25 The volumes of these boxes are the same.Examiner OnlyMarks Re-mark4 cm6 cm6 cm6 cmL cm6 cmCalculate the length of the side marked L.Answer L 22cm [3]

26 50 people take a driving test.Examiner OnlyMarks Re-markThe two-way table shows the results.PassFailMale1210Female20(a) Complete the two-way table.[1](b) Complete the frequency tree from the two-way table.PassFailMale50PassFailFemale[2]23

27 (a) James wants to install a swimming pool in his garden.Examiner OnlyMarks Re-markGcentreFFG is the diameter of the swimming pool. FG is 9 m.Calculate the area of the swimming pool.Give your answer correct to the nearest whole number.Answerm2 [4](b) Calculate the perimeter of the swimming pool.Give your answer correct to 1 decimal place.Answer24m [3]

28 The cost, C, of booking a party at a hotel can be calculated using theformulaC 45N 200N number of guests at the party.Rosie is planning to book a party at the hotel.She has a budget of 1,100Rosie wants to spend all her money.How many guests can she invite?Answer25guests [4]Examiner OnlyMarks Re-mark

29 25 pupils took part in a computer quiz.Examiner OnlyThe times, to the nearest minute, that the pupils took to complete the 26252821(a) Use this information to complete the grouped frequency table:Time taken (min)Tally (if �39[2](b) (i) Which type of diagram would you use to display this information?[1](ii) Give a reason for your answer.[1]26Marks Re-mark

30Examiner OnlyBMarks Re-markDiagram notdrawn accuratelyACDABCD is a kite.The length of AB is 2 cm less than the length of AD.The perimeter of the kite is 30 cm.Let the length of AD xWork out the length of AB.Answer AB 27cm [4]

THIS IS THE END OF THE QUESTION PAPER28

Centre NumberCandidate NumberGeneral Certificate of Secondary Education2019MathematicsM5.1Non-Calculator PaperFoundation TierFor Examiner’suse only[CODE]QuestionNumberSPECIMEN PAPER123TIME41 hour.5INSTRUCTIONS TO CANDIDATESWrite your Centre Number and Candidate Number in the spaces provided atthe top of this page.You must answer the questions in the spaces provided.Complete in blue or black ink only. Do not write with a gel pen.All working should be clearly shown since marks may be awarded forpartially correct solutions.Where rounding is necessary give answers correct to 2 decimal places unlessstated otherwise.Answer all twenty questions.6789101112131415INFORMATION FOR CANDIDATES16The total mark for this paper is 50Figures in brackets printed down the right-hand side of pages indicate themarks awarded to each question or part questionYou must not use a calculator for this paper.The Formula Sheet is on page 30.17181920TotalMarks29Marks

Formula SheetArea of trapezium 1–2 (a b)hahbVolume of prism area of cross section lengthcrosssectionlength 30[Turn over

1The probability that it will rain on Saturday is 0.7Examiner OnlyMarks Re-markWrite this as a fraction.2Answer[1]A roll of material is 15 metres long.Sally buys 8.5 metres of the material.How much material is left on the roll?3Answerm [2]Jack buys a pack of crisps for 1.50There are 6 bags of crisps in the pack.How much does each bag cost?Answer 31[2]

4Kate estimates that 120 is 12Examiner OnlyMarks Re-markIs she correct?Give a reason for your answer.Answer5because[2]The formula for calculating the perimeter of a rectangle can be written as:P 2(l b)where l is the length and b is the breadth of the rectangle.This formula can also be written as:P 2l 2bP 2l bP l l b bP 2 l bTick the correct answer or answers.[2]32

6Use the train timetable below to answer the questions that follow.Examiner OnlyMarks Re-markTrain TimetableBangor08160825084809070922Carnalea 08290852 0926Helen’s Bay 08330856 0930Seahill 08360859 0933Cultra 08390902 0936Marino 08410904 093808290844090709200941Holywood(a) Brian takes the 0930 train from Helen’s Bay.What time should he arrive in Holywood?Answer[1](b) Clare takes the 0848 train from Bangor.She is travelling to Holywood.How long should the journey take?Answer33min [2]

7John works in a multi-storey car park.Examiner Only(a) By 9.30 am, the car park was 75% full. What fraction of the car parkwas full?Answer(b) John says thatWhat is[1]1of the drivers had passengers.31of 1500?3Answer[1](c) One hundred cars (to the nearest 10), arrived between 11.00 and 12.00What is the smallest possible number of cars that arrived in this time?8DaySun:Answer123456Rain:[1]78910 CCEAJohn kept a record of the weather for ten days.It was either sunny or raining.What is the probability that it was raining?Answer34[1]Marks Re-mark

9The time is twenty-five past two in the afternoon.Examiner OnlyMarks Re-markWrite this time using the 24-hour clock.Answer[1]10 A normal six sided dice is rolled 240 times.It lands on six a total of 20 times.Do you think the dice is fair?Give a reason for your answer.Answerbecause[2]111 Given that a 5, b 10 and c , work out22a – b 4cAnswer35[2]

12 Jess has a large wooden chest in the shape of a cuboid.The inside of the chest is 130 cm long, 40 cm wide and 20 cm tall.Examiner OnlyMarks Re-mark Patrick Cleiren / Hemera /ThinkstockJess has a collection of one hundred 10 cm cubes.Can all of her cubes fit into the chest?Justify your answer.Answerbecause[3]36

13 Elsie travels to Belfast to go to St George’s Market.Examiner OnlyThe distance she travels is 105 miles each way.Elsie’s car goes 35 miles for every gallon of petrol it uses.Elsie says ‘To travel to Belfast and back, my car needs 6 gallons of petrol’.Is she correct?You must show your workingAnswer Elsie is[3]14 A recipe uses 6 eggs to make 12 buns.Eve only wants to make 4 buns.How many eggs does she need?Answer37eggs [2]Marks Re-mark

Examiner Only15 This is a plan of part of a field.Marks Re-mark27 m8mWhat is the maximum number of plots measuring 4 m 3 m that could fitinto this space?Answer[2]16 Mary ran 50 km last week.She ran 30 miles this week.She says she ran at least 100 km over the 2 weeks.Is she right?Explain your answerAnswerbecause[3]38

17 Pablo is an artist.Examiner OnlyHe paints on canvas.He uses different sizes of canvas but they all have their width and height inthe ratio 4:3(a) Which of the following canvas sizes could he use?32 cm by 24 cm60 cm by 45 cm100 cm by 70 cm120 cm by 90 cmCircle the correct answers[3](b) Write down another canvas size that he could use that is not given inthe list above.Answer[1]39Marks Re-mark

1810yExaminer OnlyMarks Re-mark9876A54321–10 –9 –8 –7 –6 –5 –4 –3 –2 –1–1x12345678910–2–3–4–5–6(a) How many lines of symmetry has shape A?Answer(b) Translate the shape A, 5 right, 4 down.Label it B.[1][1](c) Draw the image of shape A after a reflection in the y axis.Label it C.[2]40

19 The word lengths of the first 60 words in a book were recorded.Examiner OnlyMarks Re-markThe table shows the probability of some of these word lengths.Number of .159 or moreThe first chapter contains 7500 words.How many words of 9 or more letters would you expect in the first chapter?Answer20words [4]VpZDiagram notdrawn accuratelyWYXVWXYZ is a regular pentagon.The angle p 36ºWork out the sum of the interior angles of this regular pentagon.Answer41 [4]

THIS IS THE END OF THE QUESTION PAPER42

Centre NumberCandidate NumberGeneral Certificate of Secondary Education2019MathematicsM5.2Calculator PaperFoundation TierFor Examiner’suse only[CODE]QuestionSPECIMEN PAPERNumber12TIME31 hour.45INSTRUCTIONS TO CANDIDATES6Write your Centre Number and Candidate Number in the spacesprovided at the top of this page.You must answer the questions in the spaces provided.Complete in blue or black ink only. Do not write with a gel pen.All working should be clearly shown since marks may be awarded forpartially correct solutions.Where rounding is necessary give answers correct to 2 decimal placesunless stated otherwise.Answer all nineteen questions.789101112131415INFORMATION FOR CANDIDATESThe total mark for this paper is 50Figures in brackets printed down the right-hand side of pages indicatethe marks awarded to each question or part question.You may use a calculator.The Formula Sheet is on page 44.16171819TotalMarks43Marks

FormulaFormulaSheetSheetArea of trapezium 1–2 (a b)hahbVolume of prism area of cross section lengthcrosssectionlength44

1This circle is drawn on a centimetre grid.Examiner OnlyMarks �3–4–5What is the length of the radius of the circle?Answer45cm [1]

2Ryan has a market stall.Examiner OnlyMarks Re-markLast Saturday he sold 126.60 worth of goods.From this amount he paid 8.00 to rent his stall and 8.50 for petrol.How much is left from the sale of the goods?3Answer [2]The fuel tank of a car holds 52 litres of petrol.The car goes 11 miles on each litre of petrol.How far can the car go on a full tank of petrol?Answermiles [2]46

4Some “U” shapes are made with matches.Examiner OnlyMarks Re-markShape 1Shape 2Shape 3Shape 4(a) Draw shape 4 in the space above.[1](b) Complete the table below for shapes 4 and 5[1]Shape Number123Number of Matches581145(c) What pattern do you notice in the ‘number of matches’ row?Answer[1]47

5(a) A bag contains cards numbered from 1 to 20Examiner OnlyMarks Re-markA card is taken at random from the bag.Which type of number, from odd, even or square, is least likely to betaken?Explain your nsLikelyCertainChoose a word from the box above which best describes the likelihoodof each of these events:(i) The next baby to be born in the world will be a girl.Answer[1](ii) February follows March in the same year.6Answer[1]Kevin buys 3 oranges priced at 75 pence each.How much change does he get from 5?Answer 48[2]

Examiner Only1 of all babies born in Northern Ireland last year can expect to live to37Marks Re-mark90 years of age.Last year, 24 393 babies were born in Northern Ireland.How many are expected to live to 90 years of age?8Answer[2]Answer[1](a) Write 1 1 million in figures.2(b) Write down a percentage between 1 and 2359Answer[1]A manager wishes to buy new uniforms for his 30 staff.A shirt costs 8.15 and trousers cost 19.95A uniform consists of a shirt and trousers.Estimate the total cost of the uniforms.Show all steps of your working clearly.Answer 49[2]

10 Tom buys three shirts.Examiner OnlyMarks Re-markEach shirt costs 5 correct to the nearest pound ( ).What is the most that Tom could have paid in total for three shirts?Answer [2]11 There are 60 pupils in Year 8.A pupil is chosen a

CCEA GCSE Specimen Assessment Materials for Mathematics GCSE . Non-Calculator Paper 175 Unit M8.2: Calculator Paper 185 Mark Schemes 199 General Marking Instructions 201 Unit M1: Calculator Paper 205 . Where rounding is necessary give answers correct to 2 decimal places unless stated otherwise. Answer all thirty questions.

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