Further Mathematics

SS 1 Third Term Examination Further Mathematics

THIRD TERM Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.    Subject:  FURTHER MATHEMATICS            Class: SS 1     DURATION ; 2Hrs    OBJECTIVES Answer all questions If the third term of a geometric progression (G.P) is 10 and the sixth term is 80. Find the common

ROOTS OF QUADRATIC EQUATION 1

SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1     WEEK SEVEN MID TERM BREAK. WEEK EIGHT TOPIC: ROOTS OF QUADRATIC EQUATION 1 SUB-TOPICS: Quadratic equation (finishing the sq. and method methodology). Sum and product of roots of quadratic equation. Discovering quadratic equation given sum and product of roots, x2 – (sum of roots) + (product) =

BINOMIAL EXPANSION 2

SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK SIX TOPIC: BINOMIAL EXPANSION 2 SUB-TOPICS: Discovering nth time period. Utility of binomial enlargement SUB-TOPIC 1 Discovering the nth time period The binomial enlargement of is given as: = This enlargement is true for any pure quantity worth of n, giant or small, however when n is a

BINOMIAL EXPANSION 1

SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1   WEEK FIVE TOPIC: BINOMIAL EXPANSION 1 SUB-TOPICS: Pascal triangle. Binomial growth of (a+b)n , the place n might be constructive integer, destructive integer or fractional worth. SUB-TOPIC ONE The Pascal’s triangle is a format for getting the coefficients of expansions. It applies to binomial and binomial fashioned from

COMBINATION

SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1   WEEK FOUR TOPIC: COMBINATION SUB-TOPICS: Combination (selection). Conditional arrangements and selection. Probability problems involving arrangement and selection. SUB-TOPIC 1 Combination (Selection) In many situations, we make selection without regard to the order. If a committee of 4 members is to be formed from 7 members of staff of

PERMUTATIONS

SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1     WEEK THREE TOPIC: PERMUTATIONS SUB-TOPICS: Permutation (association). Cyclic permutation. Association of equivalent objects. Association through which repetitions are allowed. SUB-TOPIC 1 Permutation (Association) Suppose we have an interest within the totally different association of two folks in a line. If these two individuals are labelled a and

SCHEME OF WORK FURTHER MATHEMATICS SSS 1 THIRD TERM

  SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 SCHEME OF WORK WEEK TOPICS Polynomials 1: (a) Definition of polynomials (b) Basic operations on polynomials. (c) Remainder and factor theorem. (d) Zeros of polynomials. Polynomials 2: (a) Roots of cubic equation: Sum of roots; Sum of products of two Roots; Products of roots. (b) Graphs of polynomial

Exam Questions Second Term SS 1 Further Mathematics

OBJECTIVE F/MATHS S.S.1 Given that x= – 3 and y= – 7 Evaluate (x2-y)/(y2-x) (a)-1/11 (b) 1/23 (c) 4/13 (d) 12/17. The solution of the equation x2-2x-8 is X=0 or 12 (b) x=-2 or 4 (c) x=2 (d) x=2 or 4 Express the conjugate of 2 + √3 2 (b) √3 (c) √3 +2 (d)

Further Mathematics Third Term SSS1 Revision

SSS 1 Further Mathematics Third Term     Revision Third Term   Here are links to various practice question on the following topics in Further Maths   TRIGONOMETRIC RATIOS OF GENERAL ANGLES   STANDARD DEVIATION   MEASURE OF DISPERSION   INEQUALITIES

OPERATIONS RESEARCH

WEEK 9 SUBJECT: FURTHER MATHEMATICS CLASS: SSS1 TOPIC: OPERATIONS RESEARCH CONTENT: Definition, History and nature of operations research Steps in operations research Models of operations research: i. Linear programming models ii. Transportation models (least cost and North Westcorner) iii. Assignment models Practical application of the models. Definition, History and nature of operations research Operations research

INEQUALITIES

WEEK 8 SUBJECT: FURTHER MATHEMATICS CLASS: SS 1 TOPIC: INEQUALITIES CONTENT: Notation and basic rules of inequalities Linear inequalities in one variable Absolute values Inequalities in two variables Graphs of linear inequalities in two variables. Notation and basic rules of inequalities Symbols commonly used for inequalities include; We use the word ‘inequal’ or ‘unequal’ when

TRIGONOMETRIC RATIOS AND IDENTITIES

WEEK 6 SUBJECT: FURTHER MATHEMATICS CLASS: SS1 TOPIC: TRIGONOMETRIC RATIOS AND IDENTITIES: CONTENT: GRAPHS OF TRIGONOMETRIC RATIOS TRIGONOMETRIC EQUATION GRAPHS OF TRIGONOMETRIC RATIOS Above are the graphs of the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. In the unit circle, the value of the hypotenuse is r = 1 so that sin