If x is the number of V 94 students who play all three games, then Fig. Each student offers at least one subject. Find the number of students who offer: a Chemistry only, b only one subject, c only two subject. Each of these members undertakes at least one of the activities. The number of people who go to school only is the same as the number who engages in Trading only. Use the information to find the number of people who a undertake all the three activities, b go to school only.
Thus, the number of members who undertake all the three activities is 8. The following table gives further details of the subjects studied. 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. Mathematics, English and Life Skills books were distributed to 50 students in a class.
Find the number of students who had: a all three books, b exactly two of the books, c only Life Skills books. June There are 30 students in a class. Find Q. A survey of traders in a market shows that 90 of them sell cassava, 70 sell maize and 80 sell yam.
Also, 26 sell cassava and maize, 30 sell cassava and yam and 40 sell yam and maize. Each of the traders sells at least one of these crops. There are boys in a sports club. Each boy plays at least one of the three games. In a class of 52 students, 34 offer Mathematics, 31 offer Chemistry and 36 offer Physics. Each student offers at least one of the three subjects. Illustrate the information on a Venn diagram. Find the number of students who offer: a Chemistry only, b only one subject, c only two subjects.
There are 22 players in a football team. In an athletic team, there are 20 sprinters, 12 hurdlers and 10 pole-vaulters. Each athlete does at least one of the three. Find the number of athletes in the team. 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: a the number of students who study all the three subjects, b the number of students who study only Mathematics and Chemistry.
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: a Joy, b Joy and Peace. In a class of 70 students, 45 offer Mathematics, 37 offer Chemistry and 43 offer Physics. Illustrate the information in a Venn diagram. Find the number of students who offer: i Chemistry only, ii only one subject, iii only two subjects. There are 65 pupils in a class. All the students do at least one of the three programs. 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: a only midfield, b attack, c only one position. In a class of 54 students, 22 offer Mathematics, 27 offer Chemistry and 26 offer Physics.
In an athletic team, there are 16 sprinters, 16 hurdlers and 15 pole-vaulters. Find: a the number of athletes in the team, b the probability of selecting from the team an athlete who does only one event. A class of 49 boys were each required to have certain textbooks in English, French and Mathematics. How many boys in the class possessed: i all the three books, ii one book only, iii English and French only. In a class of 36 students, 25 study Chemistry, 22 study Mathematics and 25 study Physics.
In a class, 39 study Physics, 35 study Chemistry and 33 study Biology. If 12 students study none of the three subjects, find: a i total number of students in the class; ii the number of students who study all the three subjects, b If a student is selected at random, what is the probability that he studies either all the three subjects nor none of the three?
There are 40 pupils in a class. Each student in the class studies at least one of the three subjects. Revision Exercises 1 1. State the relation between a and b. In a class of 40 students, 23 offer Biology and 27 offer Chemistry.
Each student offers at least one of the two subjects. How many students offer both subjects? Find the value of x. In a school, 27 students were asked their preferences for three brands of soft drinks: Fanta, Coca-Cola, and Sprite. In a group of 59 traders, 26 sell gari, 8 sell only rice, and 15 sell only maize. Each trader sells at least one of the three items. Find the number of traders who sell: i gari or maize, ii gari and maize, iii only two items.
There are 28 pupils in a class. If the number of pupils who do Business is twice that of those who do Arts and the number of pupils who do Business is equal to that of those who do Science, represent this information on a Venn diagram. There are 28 players in the national football team.
The number of players who play attack only is twice that of those who play defence only, and the number who play defence is equal to that of those who play attack. If 18 play midfield, represent this information on a Venn diagram.
How many players play: a defence, b attack and midfield, c only one position. In a class of 10 students, 4 offer Mathematics, and 1 offers Chemistry and Mathematics.
Find the number of students who offer: a Chemistry only, b only one subject, c only two subjects, d Physics, e Chemistry, f Chemistry and Physics only. All teachers liked at least one of the three papers. If the number of teachers who liked all the three newspapers was 3 times that of those who preferred Times and Chronicle only, and the number of teachers who liked Times exceed those who preferred Chronicle by 2, illustrate this information on a Venn diagram. Find the number of teachers who liked: a Times, b Chronicle, c Chronicle only, d Graphic and Chronicle only.
In a class, each student was required to have certain textbooks in French, History and Geography. If 5 had all the three, Illustrate the information in a Venn diagram. In an examination each of the 35 students sat for Biology, Chemistry and Physics. The number of students who passed Chemistry is equal to the number that passed Physics. Find the number of students who passed in a Physics, b Physics and Chemistry, c Physics or Chemistry. In a class, 11 study Physics, 15 study Chemistry and 16 study Biology.
If 6 students study none of the three subjects, find: a total number of students in the class, b the number of students who study all the three subjects. BOX M. Hesse, All rights reserved No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form by any means, electronic or mechanical, photocopying, recording or otherwise, without the prior permission of the Publishers. 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 core 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. Each example is carefully selected to illustrate the application of a particular mathematical technique and or interpretation of results.
Another feature is that each chapter has an extensive collection of exercises. It is important that students have several exercises to practice. This book is therefore designed to help students to: 1.
I have gone to great lengths to make this text both pedagogically sound and error- free. If you have any suggestions, or find potential errors, please contact the writer at akrongh yahoo. I am also grateful to Prof. I am also indebted to Dr. Nana Owusu Mensah Essel and Paapa Kwabena Aseda Essel who assisted me greatly by spending much time in editing every single chapter of this book. The publication of this book could not continue without the advice and persistent encouragement of Mr.
I would like to thank Mr. Salifu Addo and Mr. Adolf Hansen for reading through some parts of the draft of this book and for making valuable suggestions for its improvement.
Finally, my sincere gratitude goes to Mr. Ludwig Hesse Department of Urban Roads, Accra for their moral support, encouragement and for providing professional guidelines.
This book was typeset by Akrong Publications Ltd. Rules of logarithms and their application Afterwards, you could thank me. No need to fret anymore for all of you on the lookout for essential mathematics textbooks pdf Am guessing your search has been unsuccessful since you are here today searching for a comprehensive mathematics textbook for senior secondary school pdf to download online.
We can help you find the book you need. And still, show you how to buy it for the cheapest price on offer on the internet.
We have done that research for you and have made it possible for you to find an essential mathematics textbook pdf online. The course writers are experienced teachers and members of the Mathematical Association of Nigeria.
0コメント