Mathematics - Unit Test - Exam Results
Mathematics - Unit TestModer PaperWeightage TablesTable : 1Weightage to Academic StandardsS. No.Academic StandardsWeightage %Marks1.Problem Solving40102.Reasoning & sentation & Visualisation123100%25TotalTable : 2Weightage to ContentS. No.ChapterWeightage %Marks1.Real numbers48%122.Sets20%53.Polynomials32%8100%25Table : 3Weightage to difficulty levelS. No.Difficulty levelWeightage 0%25Table : 4Weightage to type of questionsS. No.Type of Questions1.Objective2.3.Weightage %No. of QuestionsMarks28%0707Short Answer40%0510Essay32%0208100%14251
2Real NumbersSetsPolynominals2.3.Content1.S. No.-(1)102(2)1 (2)2 (1)4 10(1)4 05-(1)2-03(1)1-(1)1----01- (1)4 05--- (1)4 04---(1)2 --(1)1 (1)2 ---(1)103-0201--(2)1 (1)2(1)1-(1)1 (1)2Representation----0401-03--(1)2 ---(1)1 (1)2 ---(1)10302-0125080512E Total Obj SA E Total TotalConnectionE Total Obj SA E Total Obj SAReasoning & Proof CommunicationE Total Obj SA-SA(1)1 (1)2ObjProblem SolvingAcademic StandardsBlue PrintUnit: Containing Chapters Real Numbers, Sets & Polynominals
Mathematics - Unit Test(Real numbers, sets, Pohynomials)Class: XMax Marks: 25Time: 45 minInstructions:· The question paper consists of three sections.· All questions are compulsory.Section - I7 1 7 marksNote:1. Answer all the questions. Each question carries 1 mark.2. Choose the correct anwer from the four alternatives given for each question and write capital letters A, B, C or D in the brackets.1.2.The prime factorisation form of 156A) 2 3 13B) 22 32 13TheA)4.723716C)B) 1 and 238D)B) A Ç B ¹ qC) A - B AB)32C)-23B)C) x 2x 5D)31x)()()()()D) A- B f-32one of the following algebraic expression is not a polynomialA) - 2x 2(D) -1 and 1The zero of the polynomial 2x-323)7223lies between4C) 3 and 4(D) log2 x 8A {x / x is a boy} B {x / x is a girl} themA)7.B)Which of the following integers doesA) A È B f6.C) logx 2 8pform of the decimal 0.875qA) 0 and 15.B) log8 2 x)D) 2 32 13The logarithemic form of 8x 2A) logx 8 23.C) 22 3 13(D) 5 - 2x
Section - II5 2 10 marksNote:1. Answer all the questions.2. Each question carries 2 marks.8.Write the following rationals as decimals without actual divisioni)9.1325Expand logii)143110x3y210.If A {1, 2, 3}, B {2, 3, 4, 5} find A È B and A Ç B11.Write the following sets in roster form(i) A The set of natural numbers less than 7(ii) B {x : x is a letter in the word ‘School’}12.Draw the graph of P(x) x-2 and find where it interesects X-axis.Section - III2 4 8 marksNote:1. Answer all the questions, choosing one from each question.2. Each question carries 4 marks.13.Prove that 2 is irrational by the method of contradiction(or)Prove that 3 - 2 5 is irrational.14.Find the zeros of the quadratic polynomial x2 5x 6 and verify the relationshipbetween the zeroes and coefficients.Divide 3x3 x2 2x 5 by 3x-1 and verify the result with division algorithm.4
X class Mathematics(2014-15)Unit wise Division of SyllabusUnit - I:1.2.3.Real numbersSetsPolynomial1.2.Similar TrianglesLinear Equations in 2 variables1.2.ProgressionsTangents and secants to a circle1.2.Application of TrigonometryProbatrilityUnit - II:Unit - III:Unit - IV:5
X classMathematics (2014-15)Chapter wise Division of SyllabusUnder Paper I and Paper IIPaper - IPaper - II1. Real numbers1. Similar Triangles(y d eï d K«\T)(d sÖÁ çÜuó TC²\T)2. Sets(d TÔáT\T)2. Tangents and secants to a circle3. Polynomials( V Q T \T)3. Mensuration4. Pair of Linear equations in two variables(Âs & T #ássÁ Xø \ýË s¹ ¿¡jTá d MT¿ sDÁ ²\ ÈÔá)4. Trigonometry5. Quadratic Equations(esÁZ d MT¿ sÁD²\T)5. Applications of Trigonometry6. Progressions(çXâ&Tó \T)6. Probability7. Co-ordinate Geometry( sÁÖ ¿ ¹sU² ·DìÔ á )7. Statastics(e Ô ï ¿ì d ÎsÁôs¹ ¿ \T eT]jáTT #ó û q s¹ K\T)(¹¿ç Ôá TÜ)(çÜ¿ÃD TÜ)(çÜ¿ÃD TÜ nqTesÁHï \T)(d uó²e«Ôá)(kÍ K«¿ Xæçd ï )6
SSC Public Examinations - March - 2015Model Paper - MathematicsWeightage TablesPaper - 1Table - 1:S. No.Weightage to Academic StandardsAcademic StandardsWeightage (%)Marks1.Problem Solving40%322.3.Reasoning and resentation15%11100%79TotalPaper-IPart A- 64 marksPart B- 15 marksIncluding choicequestionsTable : 2Weightage to ContentS. No.Cotent AreaWeightage %Marks1.Number System24%192.Algebra60%473.Co-ordinate Gemetry16%13100%79Weightage %MarksTotalTable : 3Weightage to difficulty levelS. No.Difficulty %79Total7
Table - 4:S. No.Weightage to type of QuestionsType of QuestionsWeightage (%)No. of QuestionsMarks1.Objective type(½)19%30152.3.4.5.Very short answer type (1)Short answer type(2)Essay 9TotalTable - 5: Area wise, Standard wise Division of Question paperQ.No.MarksAreaAe. StdQ.No.MarksAreaAe. oCOM41(17)½Co-GeoPS15.4Num. Sys42(18)½Co-GeoPS16.4Num. AlgebraR/P51(30)½AlgebraPSPART-APART-B8
9Total(1)2 (1)4(12)½ (2)1 (4)2 (4)4-Co-ordinateGeometry3(4)½Algebra(7)½ (1)1 (2)2 (2)4- Polynomials- Linear Equationintro variables- Quadratic Eqn.- Progression2(1)1 (1)2 (1)4Numbers System (1)½- Real numbers- SetsE1O VSA SA----(1)½32 (4)½816½ (2)½7½ (1)½------(2)4 --(1)2 (3)4 ---(1)2 (1)4E G(2)½ -E--(1)2 --16 (8)½ (2)1 (1)2½ (1)½ (1)196½ (5)½ (1)1Tot O VSA SA--Connection--G(1)2 ---- 08 (4)½ (2)1 (2)2 (1)4 --3 (2)½ (1)1 (1)2 (1)4 -- (1)1- 1½ (2)½-- 3½G Tot O VSA SA EStandardsCommunicationAcademic StandardsAcademic Reasoningand ProofG Tot O VSA SAProblem SolvingBlue Print - Maths Paper - ISl. Content AreaNo.Table - 6:12381(2)½-(1)½(1)½--------Tot O VSA SA----E½Tot19(GT)Total(2)5-11-7913(2)5 10½ 47-GRepresentation
Mathematics - Paper - I(English Version)Part A and BTime: 2½ hoursMax Marks: 50Instructions:1. Answer the questions under Part-A on a seperate answer book.2. Write the answerws to the questions under Part-B on the question paperitself and attach it to the answerbook of Part - APart-ASection - ITime: 2 hoursMarks: 35Note:1. Answer any five questions choosing at least two from each of the following two group, i.e., A and B.2. Each question carries 2 marks.Group - A(Real numbers, sets, polynomials, Quadratic Equations)1.Find H.C.F. and L.C.M. of 220 and 284 by Prime factorisation method.2.Check whether A {x: x2 25 and 6x 15} is an empty set or not? Justify your answer.3.The sum of zeroes of a quadratic polynomial Kx2 –3x 1is 1, find the value of K.4.Find two numbers where sum is 27 and product is 182.Group - B(Lineor Equations in two variables, Progressions, Co-ordinate Geometry)5.Formulate a pair of linear equations in two variables “3 pens and 4 books together costRs.50 where as 5 pens and 3 books together cost Rs. 54”.6.In a nursary, there are 17 rose plants in the first row, 14 in the second row, 11 in thethird row and so on. It there are 2 rose plants in the last two, find how many rows ofrose plants are there in the nursary.7.Find the point on the X-axis which is equidistant from (2 – 5) and (– 2, 9).8.Verify that the points (1, 5), (2, 3) and (– 2, – 1) are colinear are not?10
Section - IIMarks: 4 1 4Note:1. Answer any four of the following six questions.2. Each question carries 1 mark.9.Determine the value of log3 24310.Let A {1, 3, 5, 7}, B {1, 2, 3, 4, 6} find A – B and B – A.11.Give any two examples of disjoint sets from your daily life.12.Find the zeroes of the polynomial P(y) y2–1.13.Do the irrational numberscommon difference.14.What do you mean by “slope” of a straight line?2,8,18 ,32 . from an A.P.? If so, findSection - IIIMarks: 4 4 16Note:1. Answer any four questions, choosing two from each of the followinggroups, i.e., A and B.2. Each question carries 4 mark.Group - A(Real numbers, Sets, Polynomials, Quadratic Equations)15.Prove that 3 is irrational by the method of contradiction.16.Let17.A {x : x is an even number}B {x : x is an odd number}C {x : x is a prime number}D {x : x is a multiple of 3}Find (i) A È B(ii) A Ç B(iii) C – Dset builder form.(iv) A Ç C and describe the sets inFind a quadratic polynominal whose sum of zeroes is-3and product is –1. How2many such polynomials you can find in this process?18.Find the roots of the equation 5x2 – 6x– 2 0 by the method of completing the square.11
Group - B(Linear Equations in two variables, Progressions and co-ordinate Geometry)2349 2 and -1.xyxy19.Solve the euqations20.Check whether the given pair of linear equations represent intersecting, parallel orco-incident lines. Find the solution if the equations are consistent.(i) 3x 2y 52x – 3y 7(ii) 2x – 3y 54x – 6y 1521.The number of bacteria in a certain culture triples every hour. If there were 50bacteria present in the culture originally, what would be the number of bacteria in3rd hour? 5th hour? 10th hour? 11th hour?22.Find the area of triangle formed by the points (8, –5) (–2, –7) and (5, 1) by usingHeron’s formula.Section - IV(Polynomials, Linear Equations in two variables)Marks: 5 2 10Note:1. Answer any one question from the following.2. This question carries 5 marks.23.Draw the graph of P(x) x2 – 6x 9 and find zeroes. Verify the zeroes of thepolynomial.24.Solve the pair of linear equations graphically2x – y 53x 2y 1112
Mathematics - Paper - I(English Version)Part A and BTime: 2½ hoursMax Marks: 50Part - BTime: 30 minutesMarks: 15Note:1.2.3.4.All questions are to be answered.Each question carries ½ markAnswer are to be written in the question paper only.Marks will not be given for over - writing, re-writing or erased answers.I. Write the Capital letters of the correct answer in the brackets provided againsteach question.10 ½ 5 marks1.One of the following is an irrational number.A)2.23B)1625C) 8B) 4C) –7)()D) 0.04The product of zeroes of the cubic polynomial 2 x3–5 x2–14 x 8 isA) – 4(D)523.A pair of Linear equations which satisfies dependent systemA) 2x y – 5 0 ; 3x – 2y – 4 0B) 3x 4y 2; 6x 8y 4C) x 2y 3; 2x 4y 5D) x 2y – 30 0 ; 3x 6y 60 0()4.The n term of G.P. is an arn-1 where ‘r’ representsA) Firs termsB) Common differenceC) Common ratioD) Radius()5.The number of two digit numbers which are divisible by 3A) 30B) 20C) 29D) 31()6.The euqation of the line which intersects X-axis at (3, 0) isA) x 3 0B) y 3 0C) x – 3 0D) y – 3 0()7.The coordinates of the centre of the circle if the ends of the diameter are()(2, – 5) and (–2, 9)A) (0, 0)B) (2, –2)C) (–5, 9)13D) (0, 2)
8.The point of intersection of the lines x 2014 and y 2015 isA) (2015, 2014)B) (2014, 2015)C) (0, 0) D) (1, 1)()9.Which of the following vertices form a triangle()()10.A) (1, 2), (1, 3), (1, 4)B) (5, 1), (6, 1), (7, 1)C) (0, 0), ( –1, 0), (2, 0)D) (1, 2), (2, 3), (3, 4)The slope of a ladder making an angle 300 with the floorA) 1B)1C) 33D)1290030010 ½ 5 marksII. Fill in the blanks with suitable answers2311.The decimal form of 2 3 5 2 is12.The shaded region in the diagram representsAB1is one zero of 3x2 5x– 2 then the other zero is313.If14.The value of ‘K’ for which a pair of linear equations 3x 4y 2 0 and 9x 12y K 0represent coincident lines is15.The quadratic equation having roots a and b is16.The sum of first 20 odd numbers is17.The distance between the origin to the point ( – 4, – 5) is units.18.The centroid of the triangle whose vertices are (3, –5), (–7, 4) and (10, –2) is19.The distance between two points (x1, y1) and (x2, y2) on the line parallel to X-axis is20.()ooThe mid point of the line joining the points log82 , log164 and (sin 90 , cos 0 ) is14
For the following questions under Group-A choose the correct answer from themaster list Group-B and write the letter of the correct answer in the bracketsprovided against each item.10 ½ 5 marks(i)Group - AGroup - B21.The logirithmic form of 210 1024()A) 4 (log5 log2)22.The Exponential form of log100.01()B) 023.The Expansion of log 10000()C) log424.The short form of log16 – 2 log2()D) log 1024 10225.The value of log11000()E) log8F) log1000G) – 2H) log125 log800(ii)Group - AGroup - B3226.Product of zeroes of x2 – 3()I)27.Sum of zeroes of 2x3 – 3x2 – 14x 18()J) 328.The common root of 2x2 x –6 0and x2 – 3x – 10 0 is()K) 029.The value of the polynomialp(x) 3x2 – 5x – 2 at x 2()L) 3630.The discriment of quadratic equationx2 – 4x 5 0()M) – 2()N) – 3()O) – 7()P) – 415
Mathematics - Paper - IIModer PaperWeightage TablesTable : 1Weightage to Academic StandardsS. No.1.2.3.4.5.Table : 2Academic StandardsProblem SolvingReasoning & ProofCommunicationConnnectionsRepresentation & VisualisationTotalWeightage %4020101515100%Marks32168121179Weightage %27Marks22Weightage to AreasS. No.1.AreaGeometry(i) Similar Triangles(ii) Targents and Secauts to a circle2.Mensuration19153.Trigonametry(i) Trigonametry(ii) Apps of TrigonametryStatistics(i) Statistics(ii) Probability292325194100%Table : 379Weightage to difficulty levelS. No.123Table : 4TypeWeightage ghtage to type of questionsS. No.1.2.3.4Type of QuestionsLong AnswerShort AnswerVery Short AnswerObjectiveTotal1Weightage %Marks53%20%8%19%100%4216061579
2---(3)½(1)1 (2)½Trigonometry (1)5 (1)2(Trigonametry& (1)4Application orTrigonometryStatistics(Statistics &Probability)(1) 2(1)5 (4)2(4)3-(1)½(2)½--16---(2)1 (10)½ 32 (2)4 (2)2 (1)1 (6)½-(1) 2-(1)½-(1) 4---(1)1 (1)½--(1)1 (1)½(1)4 (1)2(1)4 (1)2MensurationGeometry(SimilarTriangles &CirclesSA VSA Obj TotReasoning & Proof(1) 4 (1)2SA VSA Obj Tot E-E(1)½ContentAreasProblem Solving(1)2----(1)1--(1)½--(1)½-----(1)4--SA VSA Obj Tot E--(1)2-(4)½(1)½(1)1 (2)½--(1) 1 (1)½----(1)4--(1) 5SA VSA Obj Tot EConnection(1)4 (1)2 (1)1 (2)½ 08 (1)4 (1)2 (2)1 (8)½ 12 (1)5(1)4--(1)4-ECommunicationBlue Print (Paper - II)79-(4)½ 11-1923-- (2)½ -1522---(1)½-(1)½------SA VSA Obj Tot TotRepresentation
SSC Model Question PaperMathematics - Paper - II(English Version)Part A and BTime: 2½ hoursMax Marks: 50Instructions:1. Answer the questions under Part-A on a seperate answer book.2. Write the answerws to the questions under Part-B on the question paperitself and attach it to the answerbook of Part - APart-ASection - ITime: 2 hoursMarks: 35Note:1. Answer any five questions choosing atleast two from each of thefollowing two groups i.e., A and B.2. Each question carries 2 marks.Group - A(Similar triangles, Tangents and secants to a circle, mensuration)1.Prove that the sum of the squares of the sides of a rhombus is equal to the sum of thesquares of its diagonals.2.A Tangent is drawn from a point which is 34 cms away from centre of a circle. If thediameter of the circle is 34 cms, then find the length of the tangent.3.Find the volume and the total surface area of a hemisphere of radius 3.5 cms.4.An oil drum is in the shape of a cylinder having the following dimensions: diameter is2m. and height is 7m. If the painter charges 3 per m2. To paint the drum find thecharges to be paid to the painter.Group - B355.If sin q , find the value of sec 2 q tan 2 q .6.Ravi is on the top of a 20m high building. Rahim is 20m. away from the bottom of thebuilding, Can Rahim able to see Ravi at 450 angle? Justify your answer.7.A bag contains 5 Red and 8 white balls. If a ball is drawn at Random from the bag whatis the probability that it will be (i) white ball (ii) not a white ball.8.Write the formula of median for a grouped data? Explain the symbols in words.3
Section - IIMarks: 4 1 4Note:1. Answer any four of the following six questions.2. Each question carries 1 mark.9.Write the properties of similar triangles.10.Find the area of required cloth to cover the heep of grain in conical shape, of whosediameter is 8m and slant height of 3m.11.A die is thrown at once. Find the probability of getting an even prime number.12.Find the mode of the data 5, 6, 9, 6, 12, 3 , 6. 11, 6 and 7.13.Express tan q in terms of sin q .14.A doctor observed that the pulse rate of 4 students is 72, 3 students is 78 and 2students is 80. Find the mean of the pulse rate of the above students.Section - IIIMarks: 4 4 16Note:1. Answer any four questions, choosing two from each of the followinggroups, i.e., A and B.2. Each question carries 4 mark.Group - A15.A chord makes a right angle at the centre of a circle having a radius 10 cms. find(i) Area of minor segment (ii) Area of major segment16.State and prove pythogorus theroem.17.Metallic spheres of radius 6 cm, 8cm and 10 cm. respectively are melted to form asingle solid sphere. Find the radius of the resulting sphere.18.Find the ratio of surface areas of sphere and cylinder having same radius and height.Comment on the result.Group - B19.If sec q tan q P then find the value of Sinq in terms of ‘P’.20.A boat has to cross a river. It crosses the river by making an angle of 600 with the bankof the river, due to the stream of the river and travels distance of 600 mts., to reach theanother side of the river. What is the width of the river?4
21.Two dice are rolled simultaneouly and counts are added (i) complete the table givenbelow.Event2(sum of 2 dice)Probability(ii)3456713689 10 1112536A student argues that there are 11 posible out comes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12.Therefore each of them as a probability1. Do you agree with this argument . Justify11your answer.22.Draw “OGIVE CURVE” of the following frequency distribution ency916241542Section - IVMarks: 5 2 10Note:1. Answer one question from the following.2. Each question carries five marks.23.Construct a triangle of sides 4 cm. 5 cm. and 6cm. Then construct a triangle similar toit. Whose slides are24.2of the corresponding sides of the first triangle.3The angle of elevation of a jet plane from a point A on the ground is 600 after a flightof 15 seconds, the angle of elevation changes to 300. If the jet plane is flying at aconstant height of 1500 3 meter, find the speed of a jet plane.5
Mathematics - Paper-IIPart - B(English Version)Time: 30 minMax Marks: 15Instructions:1. The question paper carries1mark.22. Answer are to be written is the question paper only.3. All questions are to be answered.4. Marks will not be awarded is case of any over writing or re-writing orerased answers.Part-B10 1 5 marks2I. Write the capital letters showing the answer in the brackets provided against eachquestion.BM1.from the diagram LM CB and LN CD the which ( )AC of the following is true.LNDA)2.AMAN MBND4.C)ANAM NLMLD)AMAN MBAD()The A.M. of 30 students is 42. Among them two got zero marks then A.M.of remaining studentsA) 40B) 42C) 45D) 28()The probability of getting kind or green card from the play cards (1 deek)()()A)5.ANAM NDABThe distance between the points ( cosq , 0 ) , (0, sin q )A) 13.B)152B) -1B)C) 0113C) 45æf - fö0The h indicates in Mode Z l çç 2 f - f - f h01 øèA) FrequencyB) Length of the CI6D)-1D) 28
C) Lower boundary of mode class6.7.Which of the following is incorrectA) The ratio of surface areas of cylinder and core is 1:1B) The ratio SA (Surface Area) of sphere and hemisphere is 2:1C) The ratio TSA (Total Surface Area) of sphere and hemisphere is 2:1D) The ratio of volumes of cylinder an
Model Paper - Mathematics Weightage Tables Paper - 1 Table - 1: Weightage to Academic Standards S. No. Academic Standards Weightage (%) Marks Paper-I 1. Problem Solving 40% 32 2. Reasoning and Proof 20% 16 Part A- 64 marks 3. Communication 10% 08 Part B- 15 marks 4. Connection 15% 12 5. Repre
Past exam papers from June 2019 GRADE 8 1. Afrikaans P2 Exam and Memo 2. Afrikaans P3 Exam 3. Creative Arts - Drama Exam 4. Creative Arts - Visual Arts Exam 5. English P1 Exam 6. English P3 Exam 7. EMS P1 Exam and Memo 8. EMS P2 Exam and Memo 9. Life Orientation Exam 10. Math P1 Exam 11. Social Science P1 Exam and Memo 12.
GRADE 9 1. Afrikaans P2 Exam and Memo 2. Afrikaans P3 Exam 3. Creative Arts: Practical 4. Creative Arts: Theory 5. English P1 Exam 6. English P2 Exam 7. English P3 Exam 8. Geography Exam 9. Life Orientation Exam 10. MathP1 Exam 11. Math P2 Exam 12. Physical Science: Natural Science Exam 13. Social Science: History 14. Technology Theory Exam
Final Exam Answers just a click away ECO 372 Final Exam ECO 561 Final Exam FIN 571 Final Exam FIN 571 Connect Problems FIN 575 Final Exam LAW 421 Final Exam ACC 291 Final Exam . LDR 531 Final Exam MKT 571 Final Exam QNT 561 Final Exam OPS 571
Note: If the score earned on the final exam is higher than the lowest unit exam score, then the lowest unit exam score will be replaced with the score earned on the final exam. If a student misses an exam, then that exam will be counted as the lowest exam score. Only one exam score can be replace
as HSC Year courses: (in increasing order of difficulty) Mathematics General 1 (CEC), Mathematics General 2, Mathematics (‘2 Unit’), Mathematics Extension 1, and Mathematics Extension 2. Students of the two Mathematics General pathways study the preliminary course, Preliminary Mathematics General, followed by either the HSC Mathematics .
Trigonometry Unit 4 Unit 4 WB Unit 4 Unit 4 5 Free Particle Interactions: Weight and Friction Unit 5 Unit 5 ZA-Chapter 3 pp. 39-57 pp. 103-106 WB Unit 5 Unit 5 6 Constant Force Particle: Acceleration Unit 6 Unit 6 and ZA-Chapter 3 pp. 57-72 WB Unit 6 Parts C&B 6 Constant Force Particle: Acceleration Unit 6 Unit 6 and WB Unit 6 Unit 6
Cabarrus County Schools 7th AMPS Mathematics Year-Long Curriculum Map Click here to access the Preamble for 7th Grade Math. 1 Last revised 7/3/17 North Carolina State Standards for Mathematics Unit 0 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9
IBDP MATHEMATICS: ANALYSIS AND APPROACHES SYLLABUS SL 1.1 11 General SL 1.2 11 Mathematics SL 1.3 11 Mathematics SL 1.4 11 General 11 Mathematics 12 General SL 1.5 11 Mathematics SL 1.6 11 Mathematic12 Specialist SL 1.7 11 Mathematic* Not change of base SL 1.8 11 Mathematics SL 1.9 11 Mathematics AHL 1.10 11 Mathematic* only partially AHL 1.11 Not covered AHL 1.12 11 Mathematics AHL 1.13 12 .
