Elective Maths - Download as Word Doc .doc /.docx), PDF File .pdf), Text File . txt) or read online. Mathematics is a core subject in the New Senior Secondary Curriculum and is a Instead of the provision of an elective subject in mathematics, an Elective Part. This book covers the entire syllabus for the Senior High School elective mathematics course. The material is presented in a relevant and easy to understand.

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PDF | This book is intended to encourage an understanding and appreciation of Elective Mathematics at the Senior High School level in West. AKRONG SERIES ELECTIVE MATHEMATICS CHAPTER ONE Sets Introduction If you want to prepare a cake, you need flour, eggs, margarine, baking. AKRONG SERIES ELECTIVE MATHEMATICS CHAPTER THREE Binary Operations Introduction In this section, we consider operations on a non- empty set.

A diagram like this is called a Venn diagram, after the English mathematician John Venn — Decimal numbers which neither terminate nor recur are irrational numbers. Show all the members of each set. Finally, my sincere gratitude goes to Mr. Joey Chow C A. Which of the following does not satisfy?

Definition 3. Example 3. Table 3. Three of these properties are commutative operation, associative operation and distributive operations. June Solution a Let Q denote the set of non-zero rational numbers. That is: Compute each of the following, leaving your answers in surd form: Stating the range of values of y for which x is defined.

Determine whether or not the operation is: Determine the inverses of 2 and 3. From Example 3. Hence the identity element is — Similarly the inverse of 0 is 0, the inverse of 1 is 1 and the inverse of 2 is 2.

Each element is the inverse of itself. Exercise 3 c 1. Stating the values of x for which there is no such y. Find the inverse of the real number y. Revision Exercises 3 1. Binary Operations Page BOX M. Providing appropriate solutions to examination problems is of particular importance in the study of mathematics. As a mathematics lecturer, the author has discovered the weaknesses and shortcomings of students in the handling of examination questions. Subsequently, to guide students in answering typical questions in Elective Mathematics as set out in recent examinations, the writer has paid particular attention to those areas of the syllabus, which many students find difficult.

A prominent feature of this book is the inclusion of many examples.

The shaded regions Fig. Show all the members of each set. A Example 1. C P f How many students like Physics or Chemistry?

That is 4. In a group of 50 traders, 30 sell gari, and 40 sell rice. Each trader sells at least one of the two items. How many traders sell both gari and rice? In a class of 42 students, 26 offer Mathematics and 28 offer Chemistry. If each student offers at least one of the two subjects, find the number of students who offer both subjects.

In a class of 42 students each student studies either Economics or Accounting or both. If 12 students study both subjects and the number of students who study Accounting only is twice that of those who study Economics only, find how many students study i Economics, ii Accounting. Accounting, Business management BM and Commerce. Represent by shading, on a Venn diagram, the region that represent the number of students who offer the following: The required shaded regions are as shown in the Venn diagrams below.

Each student in the class studies at least one of the three subjects. Mathematics, Economics and Accounting. Eight 8 students study none of them. The following table gives further details of the subjects studied.

Each student offers at least one of the three subjects.

Illustrate the information on a Venn diagram. Find the number of students who offer: If the number of students who study only Physics is equal to that of those who study only Chemistry, Illustrate the given information on a Venn diagram and find the number of students who study i Only Physics, ii Chemistry, iii Only one subject.

In a class of 80 students, 40 study Physics, 48 study Mathematics and 44 study Chemistry. If every student studies at least one of the three subjects, find: If the number of teachers who liked Unique only was double that of those who preferred all the three stations, illustrate this information on a Venn diagram. Find the number of teachers who liked: In a class of 70 students, 45 offer Mathematics, 37 offer Chemistry and 43 offer Physics.

Illustrate the information in a Venn diagram. There are 65 pupils in a class. All the students do at least one of the three programs. Ten 10 do all the three programs while 18 do Arts and Business. Represent this information on a Venn diagram i How many pupils do only two subjects ii If a pupil is selected at random, what is the probability that he studies either Arts or Science?

There are 40 players in Presec football team. If the number of students who play only midfield is equal to that of those who play only attack, represent this information on a Venn diagram.

How many play: In a class of 54 students, 22 offer Mathematics, 27 offer Chemistry and 26 offer Physics.

Four 4 offer all the three subjects, five 5 Physics and Chemistry only, 15 offer Physics only. In an athletic team, there are 16 sprinters, 16 hurdlers and 15 pole-vaulters. Six 6 are sprinters only, four 4 are hurdlers only, one 1 is a pole-vaulter only and five 5 are sprinters and pole-vaulters only. Each athlete does at least one of the three.

A class of 49 boys were each required to have certain textbooks in English, French and Mathematics. Ten 10 boys had both English and French books, 11 had French and Mathematics books 14 had the Mathematics and English books. How many boys in the class possessed: In a class of 36 students, 25 study Chemistry, 22 study Mathematics and 25 study Physics. In a class of 52 students, 34 offer Mathematics, 31 offer Chemistry and 36 offer Physics.

Five 5 offer all the three subjects, 15 Physics and Chemistry only, two 2 offer Physics only. There are 22 players in a football team. Nine 9 play defence, 10 play midfield and 11 play attack. Five 5 play defence only, four 4 play midfield only and six 6 play attack only. In an athletic team, there are 20 sprinters, 12 hurdlers and 10 pole-vaulters.

Find the number of athletes in the team. Revision Exercises 1 1. Five 5 offer all the three subjects, 20 Physics and Chemistry only, three 3 offer Physics only. There are 40 players in a football team. Six 6 are sprinters only, four 4 are hurdlers only, one 1 is pole-vaulters only and five 5 are sprinters and pole-vaulters only.

If every student study at least one of the three subjects, find: In a class, 39 study Physics, 35 study Chemistry and 33 study Biology. If 12 students study none of the three subjects, find: In a school, 27 students were asked their preference for three brands of soft drinks Fanta, Coca-Cola, and Sprite. In a group of 59 traders, 26 sell gari, eight 8 sell only rice, and 15 sell only maize. Ten 10 sell gari and rice, 16 sell rice and maize, and 42 sell maize.

Each trader sells at least one of the three items.

Find the number of traders who sell: There are 28 pupils in a class. Three 3 do all the three programs while five 5 do Arts and Business, and seven 7 do Arts and Science. Five 5 do Business only and all the students do at least one of the three programs. Two functions are defined on the set of real numbers by 4.

Find A. Find the inverse of the function A.

Find the solution of A. Express in the form A. Express in the form , where a and b are real numbers. Evaluate A. State the domain of the function A. Undefined If , find. Express in the form , and find the value of a. For what values of x are the expression undefined.

Inverse element of c. If the polynomial where p, q, and r are constants; is divided by , the remainder is 2 and if it is divided by , the remainder is 8. Divide by b Two functions f and g are defined by and Find a. Solve b.. Simplify c. Simplify , leaving your answer in the form. Documents Similar To Elective Maths. Tom Davis. Zain Ul Abideen. Bhaskar Reddy. Oteng Selasie.

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