SET SET- this is a collection of things, object or numbers ELEMENT= This is a member of a set capital letters X,Y,Z etc are conventionally used to denote set why small letter,s x,y,z,etc are used to denote elements f a set FINITE SET: a set is finite if you can list all the members of ….  Read More

Mathematics Set Theory Symbols Let us see the different types of symbols used in Mathematics set theory with their meanings and Examples.  Consider a Universal set (U) = {1, 2, 7, 9, 13, 15, 21, 23, 28, 30} Symbol Symbol Name Meaning  Example { } set a collection of elements A = {1, 7, 9, ….  Read More

Answer all the questions A collection of things is known as __________ A set B union C intersect D Compliments given that : U={ all the days in the in a week}, B={all the days in the week  whose letters begin with S}. Which one is a subset? A element in U B element in ….  Read More

convert 2134 to standard form A 2.134*10^3 B 2.134*10^-3  C  2.134*10^4   D 2.134*10^5 A collection of things is known as __________ A set B union C intersect D Compliments given that : U={ all the days in the in a week}, B={all the days in the week  whose letters begin with S}. Which one is ….  Read More

convert 2134 to standard form A 2.134*10^3 B 2.134*10^-3  C  2.134*10^4   D 2.134*10^5 A collection of things is known as __________ A set B union C intersect D Compliments given that : U={ all the days in the in a week}, B={all the days in the week  whose letters begin with S}. Which one is ….  Read More

SUBJECT: FURTHER MATHEMATICS                                                                                                                                             CLASS: SS1 SCHEME OF WORK WEEK TOPIC 1 Arithmetic Progression (AP) 2 Geometric Progression (GP) 3 Linear inequalities in one variable 4 Inequalities in two variables (Graph of inequalities) 5 Introduction to the concept of functions. 6 Review of half term work. 7 Functions (one – to – one, onto, composite and ….  Read More

 Sum of n terms of a G.P The sum of n terms of a G.P whose first term is a and whose common ratio is r is given by Sn= a + ar + ar2 + ………………… arn-1                   ……………..(i) r Sn = ar + ar2 + ar3 + ………….. arn…………. (ii) Subtracting (2) from (1) Sn – rSn = a ….  Read More

Find T9of the sequence -1, 2, 5, 8 …………….    A.   21 B.  22 C.  23       D.  24 The 10thterm of an A.P is 68 and the common difference is 7, find the first term of the sequence.   3 B.   5 C.   7 D. 9 Find the sum of the first twelve term of the sequence ….  Read More

SECTION  A: objectives INSTRUCTION: Answer all the questions in this section A-________ is a pattern of numbers arranged in a particular order.   A sequence B  logic  C geometry D symmetry Tn=a+(n-1)d is formula for calculating _____  A  AP   B  GP   C AC   D  area of a circle Find T9 of the sequence -1, 2, ….  Read More

QUADRATIC INEQUALITIES IN ONE VARIABLE To find the solution sets, of the quadratic inequalities of the form, ax2 + bx + c ≥ 0 or ax2 + bx + c ≤0. Note the following 1) If a>0 and b>0 then a.b>0 or a<0 and b<0 then a.b>0 2) If a<0 and b>0 then a.b< 0 ….  Read More

SIMULTANEOUS INEQUALITIES The set of simultaneous inequalities in two variables can be found from the intersection of the areas representing the inequalities. Worked Examples 1) Show graphically the region R which satisfies the set of inequalities 2x + 2y ≤ 2, x + 2y≤ 16, x ≥ 0, y ≥ 0. Solution 2x + 2y ….  Read More

 LINEAR PROGRAMMING The linear function z = ax + by is called the objective function while the given set of the inequalities are called the constraint linear programming attempts to maximize or minimize an objective function under the set of given constraints. Example 1 A caterer can make two types of of drinks A and ….  Read More

Evaluation: The sum of the first ten term of a linear sequence is -60 and the sum of the first fifteen term of the sequence is -165. Find the 18th term of the sequence.   General Evaluation The sum of the first four terms of a linear sequence (A.P) is 26 and that of the next ….  Read More

Evaluation (1) Insert two geometric mean between  -3 and –8/9. (2) The 4th term of a G.P in 75 and the 6th term is 192. Find the common ratio and the first term of the G.P Evaluation (1) Find T9 of the G.P 5, 2½, 1¼, 5/8 ………….. (2) If 3, p, q, 24 are consecutive term of an ….  Read More

SECTION  A: objectives INSTRUCTION: Answer all the questions in this section A-________ is a pattern of numbers arranged in a particular order.   A sequence B  logic  C geometry D symmetry Tn=a+(n-1)d is formula for calculating _____  A  AP   B  GP   C AC   D  area of a circle Find T9 of the sequence -1, 2, ….  Read More