GCSE Mathematics Specimen Papers and Mark Techniques For initially teaching via September 2010 For first examination in Summer 2011 For initially award in Summer 2012 Subject Code: 2210 Foreword The awarding bodies include prepared fresh specifications to comply with revised GCSE standards. The example of beauty examination papers accompanying new specifications are provided to give zones guidance on the structure and character with the planned assessments in advance of the first evaluation.
It is meant that the specimen papers and mark plans contained in this booklet will help teachers and students to understand, as completely as possible, the markers’ anticipations of candidates’ responses towards the types of questions collection at GCSE level.
These types of specimen papers and indicate schemes should be used in combination with CCEA’s GCSE Math concepts specification. GCSE Mathematics Example of beauty Papers and Mark Schemes Contents Specimen Papers Device T1 Math concepts (Foundation Tier) Unit T2 Mathematics (Foundation Tier) Unit T3 Mathematics (Higher Tier) Unit T4 Mathematics (Higher Tier) Device T5 Math (Foundation Tier) Paper one particular
Unit T5 Mathematics (Foundation Tier) Daily news 2 Product T6 Math concepts (Higher Tier) Paper 1 Unit T6 Mathematics (Higher Tier) Newspaper 2 you 3 3 43 63 83 93 107 121 Mark Schemes General Observing Instructions Product T1 Mathematics (Foundation Tier) Unit T2 Mathematics (Foundation Tier) Device T3 Math (Higher Tier) Unit T4 Mathematics (Higher Tier) Product T5 Mathematics (Foundation Tier) Paper one particular Unit T5 Mathematics (Foundation Tier) Daily news 2 Device T6 Math concepts (Higher Tier) Paper you Unit T6 Mathematics (Higher Tier) Paper 2 133 135 137 143 149 157 163 167 171 175 Subject matter Code QAN 2210 500/7925/6
A CCEA Publication 2010 You could download further more copies of this publication from www. ccea. org. uk SPECIMEN PAPERS DIVIDER CONVENTIONAL PAPER FRONT you SPECIMEN DOCUMENTS DIVIDER DAILY NEWS BACK two Centre Quantity 71 Applicant Number Standard Certificate of Secondary Education 2011 Math concepts For Examiner’s use only Issue Marks Number Unit T1 (With calculator) Foundation Rate [CODE] EXAMPLE OF BEAUTY EXAMINATION NEWSPAPER TIME 1 hour 30 minutes GUIDANCE TO PROSPECTS Write the Centre Amount and Prospect Number inside the spaces offered at the top of this site. Write the answers in the spaces supplied in this problem paper.
Answer all 25 questions. Any working must be clearly displayed in the places provided since marks can be awarded for partially correct solutions. You might use a calculator for this newspaper. INFORMATION FOR CANDIDATES The entire mark just for this paper can be 100. Figures in mounting brackets printed over the right-hand area of web pages indicate the marks honored to each issue or portion question. Efficient elements will be assessed through this paper. Top quality of created communication will be assessed in questions six and 23. You should have a calculator, leader, compasses and a protractor.
The method sheet can be overleaf. 1 2 several 4 a few 6 six 8 on the lookout for 10 eleven 12 13 14 15 16 18 18 19 20 21 years old 22 twenty three 24 25 Total Signifies 3 Base Tier Formulae Sheet Area of trapezium sama dengan 1 (a + b)h 2 Volume of prism = area of cross section? size 4 Response all questions you (a) Create 80% as a decimal Answer _____________ [1] Answer ___________ % [1] Answer_____________________ [1] Answer_____________ [1] Answer_____________ [1] (b) Write 0. 35 as a percentage (c) Compose 48 mil in figures (d) 5729 people attended a basketball match. Write the number 5729 to (i) the nearest 10 (ii) the closest 100 two (a)
Get the next two terms in the sequence and explain the rule you used: six, 11, of sixteen, 21, _____, ______ Guideline _________________________________________________ [3] (b) Get the next term in the series 0. two, 0. 5, 0. 8, 1 . 6, _______ [1] 5 three or more The diagram shows a tiled outdoor patio in the shape of a rectangular shape 3 simply by 16, covered with twenty four square tiles. Write down the length and width of 2 additional possible rectangles which can be covered with forty-eight of these sq tiles. Answer__________ by__________ __________ by__________ some [1] [1] Michael registered the colours of automobiles in the school car park within a tally graph and or chart. Colour
Tally Frequency Red |||| 4 Blue || 2 Discolored ||| Dark-colored |||| || White |||| |||| Silver |||| Green |||| (a) Complete the frequency steering column. [1] (b) On the main grid opposite, draw a rate of recurrence diagram to exhibit this information. [3] 6 (c) What is the most famous colour of car in a vehicle park? Answer_________________ (d) [1] Using the regularity table, write down the cheaper total automobiles which are yellow-colored. Answer_________________ several [1] a few (a) (i) Shade the main segment inside the circle below [1] (ii) (b) PQ is called a _________________ of the circle. (i) Shade the minor sector in the group below. 1] [1] (ii) OS is called a _______________ of the circle. almost eight [1] 6 The stand below displays the percentage of pupils by a High University who obtained a class C or better in GCSE Math concepts during the past five years. 12 months % of pupils (a) 2004 75 2005 79 2006 82 2007 84 2008 90 Which yr showed the actual improvement? Answer______________ (b) [1] Your top quality of written communication will be assessed in this question The school wants to demonstrate this information utilizing a statistical diagram. Which type of diagram do you use? Answer__________________________ [1] Give a reason for your answer. _______________________________________________________________ ________________________________________________________________ 7 [2] Here is a list of figures 25 28 32 thirty five 8 twenty-one 9 (a) From the list write down individuals numbers which can be (i) multiples of a few Answer____________ (ii) [1] Answer____________ [1] elements of fifty four 9 (b) From the set of numbers (i) calculate the mean Answer_____________ Answer_____________ (ii) 8 [2] [2] get the typical In a the middle of season sale a garments shop offers 20% off all its items. Clare bought a costume which originally cost? 55 and a hat which in turn originally price? 25 (a)
How much do she preserve in the sales? Answer? _____________ Answer? _____________ (b) on the lookout for [2] [1] Answer_____________ [2] What was her total expenses? Simplify 5p? 2r? 3p + 5r 10 10 (a) Jo bought 6th roses at 67p each. What alter did she get from a? 5 notice? Answer? _____________ (b) Five kilograms of potatoes and two kilos of onions cost? 4. 10 in total. The potatoes cost 62p per kg. How much will it possibly cost altogether to buy 1 kilogram of potatoes and one kilogram of onions? Answer? _____________ 11 [2] [4] The brick proven below with the form of a cuboid, testing 6. 5 metres simply by 3. metres by installment payments on your 6 metres. Calculate the amount of the brick. Answer_____________ 14 [3] doze Calculate (a) the sq . root of 1 ) 44 Answer_____________ Answer_____________ (e) 13 [2] Answer_____________ (d) [1] Answer_____________ (c) [1] Answer_____________ (b) [1] [2] the dice of 2. almost 8 2 . thirty-two? 1 . 69 3 of 125 5 5. 62? 3. 5 The desk below gives the maximum and minimum temps of 6 different towns in European countries in March. City Belfast Minimum 2 C Dublin? 1 C 9 C London 4 C 16 C Edinburgh 0 C 11 C Barcelona 10 C 19 C 8 C 20 C Rome (a) Optimum 10 C Which minimal temperature was your lowest?
Answer____________________ C doze [1] (b) In two of these towns the conditions had elevated from bare minimum to maximum by 12 C. Take note of the names of those two cities. Answer____________________ and ____________________ [2] What is the difference in minimum temperature between Dublin and Paris? (c) Answer_____________ C 14 [1] Answer_______________ [1] Answer_____________ % [1] Answer_____________ % [1] Results of any Year 12 Physics evaluation 9 8 7 6th 5 4 2 zero 2 7 4 6th Key 5 4 (a) 5 one particular 5 almost 8 6 six 6 eight 9 several 9 8 9 9 means 54% How a large number of pupils seated the Physics test? (b) What is the modal percentage mark? c) What is the number of percentage marks? 13 15 The diagram displays the plan to get a rectangular back garden. Calculate (a) the area with the garden Answer____________m2 [2] Answer____________m2 [2] (b) the area from the plot to get the forest A line needs to be dug around the perimeter of the garden. (c) Calculate the perimeter of the back garden. Answer____________m 14 [2] 18 The diagram shows a pizza that can be divided into almost 8 equal parts. The tinted parts will be eaten. (a) Write down, like a fraction in its lowest terms, the portion that is eaten. Answer_____________ Answer___________ % (b) 17 [2] [1]
What percentage can be left uneaten? Which jeu from the list given below aren’t equivalent to two? 3 almost eight 10 of sixteen 4 doze,, 12 12-15 28 six 16 Answer_____________ 15 [2] 18 In a survey three hundred men were asked which usually sport they will liked finest. The pie-chart below displays the results. (a) Measure the angle which in turn represents Golf ball. Answer_____________? (b) [1] What fraction of men decided to go with Rugby as their favourite sport? Answer_____________ (c) [1] Answer_____________ [2] How many men decided to go with Hurling as their favourite sport? 16 nineteen (a) Grow 3(x + 1) Answer______________ [2] Answer_____________ [2] (b) Solve 2y + several = nineteen 0 In the diagram the actual P (? 4, 4) has been drawn. (a) Plan the following points on the diagram, labelling evidently Q (? 2,? 3), R (5,? 3) and S (3, 4) [3] (b) Link up the factors in order and name the quadrilateral formed. Answer____________________ 18 [1] 21 years old (Diagram certainly not drawn accurately) Calculate (a) x back button = ___________? [1] sumado a = ___________? [1] (b) y twenty-two Draw the web of the mattel matchbox tray (no lid) proven in the diagram, which has foundation 5cm by simply 3cm and height 2cm, on the square grid supplied. [3] 18 23 The quality of written communication will be assessed in this problem Fred has just won? 00. 1 1 of it to his boy, James. This individual has promised of it to his little girl, Kathy and 5 4 How much will he have left after this individual gives Kathy and James their stocks? Show clearly each step of your working out. Answer? _____________ nineteen [4] twenty-four The positions of two towns A and W are proven on the main grid. (a) A 3rd town C is 3km east and 2km north of A. Using a scale of 1cm = 0. 5km, show the placement of C. (b) [2] How far is usually C by A? Answer_____________km 20 [3] 25 The next information shows how Sinead spends her time over a Saturday. Activity Cleaning Watching TV Number of hours 2 Employing Shopping this individual Exercising Net 5 four 3 two Sleeping almost 8 Draw a pie data to demonstrate this info. [4] 21 years old ___________________________________________ THIS IS ACTUALLY THE END WITH THE QUESTION DAILY NEWS ___________________________________________ twenty-two Centre Quantity 71 Applicant Number Basic Certificate of Secondary Education 2011 Math concepts Unit T2 (With calculator) Foundation Tier [CODE] SPECIMEN EXAMINATION NEWSPAPER TIME one hour 30 minutes GUIDELINES TO APPLICANTS Write the Centre Amount and Applicant Number inside the spaces provided at the top of this page. Write your answers inside the spaces supplied in the problem paper.
Answer all twenty three questions. Virtually any working needs to be clearly shown in the places provided seeing that marks can be awarded intended for partially accurate solutions. You might use a calculator for this newspaper. INFORMATION INTENDED FOR CANDIDATES The entire mark with this paper is 100. Numbers in mounting brackets printed down the right-hand side of internet pages indicate the marks honored to each query or portion question. Functional Elements will probably be assessed in this paper. Quality of drafted communication will probably be assessed in questions five and 18. You should have a calculator, leader, compasses and protractor. The formula sheet is overleaf.
For Examiner’s use only Problem Marks Best 2 several 4 five 6 several 8 on the lookout for 10 11 12 13 14 15 16 18 18 nineteen 20 21 22 twenty-three Total Marks 23 Foundation Tier Formulae Sheet Area of trapezium = 1 (a + b)h 2 Amount of prism = area of mix section? duration 24 Response all questions 1 Five kilograms of potatoes and two kilograms of onions price? 4. 10 in total. The potatoes cost 62p every kilogram. Just how much would it price in total to acquire one kg of potatoes and one kilogram of onions? Solution? _____________ two Answer_____________ (a) [4] [2] Answer_____________ [2] Simplify 5p? 2r? 3p + 5r (b) Expand? 2(2y? 3) 25 three or more Calculate a) the dice of 2. 8 Answer______________ Answer______________ (b) (c) [1] [1] Answer______________ [2] 2 . thirty-two + 1 . 69 five. 62? a few. 4 26 4 Results of a 12 months 12 Physics test 9 8 six 6 a few 4 two 0 two 7 some 6 Key 5 some (a) a few 1 5 8 six 7 6 8 on the lookout for 7 being unfaithful 8 on the lookout for 9 means 54% Just how many students sat the Physics evaluation? Answer_____________ (b) [1] Precisely what is the modal percentage draw? Answer___________% Answer___________% (c) five [1] [1] What is the number of percentage marks? Quality of drafted communication will probably be assessed with this question Sally has just won? 900 one particular 1 He has guaranteed of it to his child Kathy, associated with it to his boy James. 5 How much can he have remaining after this individual gives Kathy and James their shares? Show plainly each step of your working out. Solution? ______________ 27 [4] six The positions of two towns A and W are demonstrated on the main grid. (a) One third town C is on a bearing of 120? via B including a length of 2. your five km by B. By using a scale of just one cm sama dengan 0. 5km, show the location of C. [3] (b) How far can be C by A? Solution _____________ kilometres [2] twenty-eight 7 This information reveals how Sinead spends her time on a Saturday. Activity Cleaning Viewing television Shopping Quantity of hours a couple of 5 5 Using the Working out Internet three or more 2 Sleeping 8
Pull a curry chart to illustrate this data. [4] 8 Resolve (a) x = 12-15 4 Answer x = _____________ (b) [1] Response y sama dengan _____________ [2] 6y? two = 13 29 9 Write down another two amounts in the series 11, 10, 8, 5, ____, _____ Answer________, _________ 10 [2] In the picture the volume in the cuboid is 48cm3. It keeps exactly forty-eight sugar cubes each 1cm by 1cm by 1cm. The length of the cuboid is 4cm as well as the breadth is definitely 3cm. (a) What is the height of the cuboid? Answer_____________ (b) Write down the dimensions of another cuboid that the twenty four cubes may fit into precisely. Answer______cm by______cm by______cm you (a) [3] Find the significance of [1] 3. 8? 6th. 2 giving your response correct to at least one decimal place. 9. one particular? 2 . 7 Answer_____________ 31 [2] (b) A sang TV has a marked price of? 790 In a sales its price is reduced by simply 15% What is the sale price of the TV SET? Answer? _____________ (c) [3] Mary’s family drink three or more cartons of orange juice in five days. Just how many cartons would Mary need to buy to last a full week? Solution _____________cartons 12 [3] Write down an expression to get the total expense of x pubs of chocolate at 35p each and y wine bottles of water at 50p each. Answer_______________________ 31 [2] 13
Attract the chart of y = 4x”3 on the grid below. [3] 14 (Diagram not driven accurately) The quadrilateral displayed has angles x, seventy nine?, 3x, and 97? Exercise the value of x Answer times = _________________o 32 [4] 15 (a) (Diagram certainly not drawn accurately) In the triangle ABC demonstrated above BC = eight. 5 cm and AX = six. 4 cm. Calculate the area of the triangular ABC. Answer___________________cm2 [2] (b) (Diagram not really drawn accurately) ABCDE is a regular pentagon, with Um as its centre. Calculate the size of angle AOB. Answer Perspective AOB sama dengan _____________? thirty-three [2] of sixteen Find the spot of a group of friends with a diameter of 3 metres.
Take? = 3. 18 Answer___________________m2 18 (a) [2] The speeds, in miles per hour, with the cars moving the entrances of a principal school during lunch hour will be recorded in the table below. Speed (mph) No . of cars 0″5 2 6″10 5 11″15 34 16″20 61 21″25 29 26″30 4 Symbolize this information using a bar chart. [3] thirty four (b) Which can be the modal class interval? Answer________________ (c) [1] The quality of written interaction will be examined in this question Katy wants to know how often a month, usually, the people in her area go to the cinema. She requests 200 persons in her school.
Explain why Katy’s sample may not be representative of the people in her town. _______________________________________________________________ _______________________________________________________________ thirty-five [2] 18 (a) Write 72 as a product of prime factors Answer______________ (b) [2] Get the lowest common multiple (LCM) of 72 and 108 Answer______________ Answer______________ (c) nineteen [2] [2] Find the greatest common element (HCF) of 72 and 108 Leslie puts? 1700 in her bank account at 4. 2% simple interest each year. Calculate the total amount in her banking account after 3 years. Answer? ________________ 36 [3] 0 (a) Expand and simplify 4(2 ” 3x) + 3(x + 4) Answer________________ Answer________________ [2] Response x =________________ (b) [2] [3] Answer________________ [2] Broaden x ( x two ” 6) (c) Resolve for back button 7x & 18 sama dengan 2(x ” 6) twenty one (a)? A typical polygon has a exterior perspective of 18 Find the number of sides in the polygon. thirty seven (b) The diagram reveals a perform tent in the shape of a triangular prism. Calculate the quantity of the camping tent. Answer_____________________cm3 38 [6] twenty-two A tutor recorded the amount of hours 40 students applied the internet more than a 7 day period. The data is displayed in the desk below. Number of Hours 0? h
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