Prime
M a t h e m a t i c s Series
10
Approved by
Government of Nepal, Ministry of Education, Science and
Technology Curriculum Development Centre Sanothimi,
Bhaktapur as and additional learning materials.
Raj Kumar Mathema Authors
Dirgha Raj Mishra
Uma Raj Acharya Bhakta Bahadur Bholan
Naryan Prasad Shrestha Yam Bahadur Poudel
Bindu Kumar Shrestha
Editors
Anil Kumar Jha
Dhurba Narayan Chaudhary
Hari Krishna Shrestha
Language Editor
Mrs. Tara Pradhan
Pragya Books Pragya Books and Distributor Pvt. Ltd.
and
Distributors Pvt. Ltd.
Printing history
First Edition 2074 B.S.
Revised Edition 2077 B.S.
Layout and design
Pragya Desktop
© Publisher
All rights reserved. No part of this book, or designs and illustrations here
within, may be reproduced or transmitted in any form by any means without
prior written permission.
ISBN 978-9937-0-2181-4
Printed in Nepal
Pragya Books Published by
and
Pragya Books and Distributor Pvt. Ltd.
Distributors Pvt. Ltd. Kathmandu, Nepal
E-mail : pragyabooks100@gmail.com
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Specification grid – 2074
Time : 3:00 Hrs Compulsory Mathematics Full Marks : 100
S.N Cognitive domain Unit Knowledge Comprehensive Applicable Higher Total Remarks
Contain area Sets (Use of Venn-diagram) (K) (C) (A) ability Marks To be asked the
1 Sets VAT and money exchange 1x1 2x2 1x4 1x5 4 question from each
2 Arithmetic Compound Interest 1x1 3x2 1x4 1x5 14 unit at least 2
Population Growth and Compound marks.
3 Mensuration Depreciation. 1x1 5x2 1x4 1x5 16
Plane Surfaces To be asked the
4 Algebra Cylinder, sphere, cone, hemi sphere 2x1 3x2 2x4 24 question from each
Prism and Pyramid 1x1 1x2 unit at least 3
5 Geometry 1x2 marks.
6 Trigonometry H.C.F. and L.C.M. 6 2x2
7 Statistics Roots and Surds, Radical equation 6 To be asked the
Indices, Exponential Equation 17 question from each
8 Probability Simplification of Algebraic 34 unit at least 3
Fractions marks.
Number of Total Verbal problem of simultaneous
Questions and quadratic equations To be asked the
Total Wategos Area of triangle and quadrilateral
Construction of triangle and 3x4 1x5 25 question from each
quadrilaterals with equal area unit at least 4
Circle 1x4
Area of triangle and quadrilateral 1x4 marks.
Height and distance
Mean, Median and Quartiles of 6
grouped data
Addition law for mutually exclusive 7
events
Addition and multiplication law for 4
independent and dependent events
Simple problems of probability
from tree diagrams.
10 4
40 20 100
Preface
Prime Mathematics Series is a distinctly outstanding mathematics series
designed in compliance with Curriculum Development Centre (CDC) to meet
international standards. The innovative, lucid and logical arrangement of the
content makes each book in the series coherent. The presentation of ideas
in each volume makes the series not only unique, but also a pioneer in the
evolution of mathematics teaching.
The subject matter is set in an easy and child-friendly structure so that
students will discover learning mathematics a fun thing to do.A lot of research,
experimentation and careful gradation have gone into the making of the series
to ensure that the selection and presentation is systematic, innovative and both
horizontally and vertically integrated.
Prime Mathematics Series is based on child-centered teaching
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equally enjoyable. We are optimistic that this series shall bridge the existing
inconsistencies between the cognitive capacity of children and the course matter.
We owe an immense debt of gratitude to the publishers for their creative,
thoughtful and inspirational support in bringing about the series. Similarly, we
would like to acknowledge the tremendous support of teachers, educationists
and well-wishers for their contribution, assistance and encouragement in making
this series a success.
We hope the series will be another milestone in the advancement of teaching
and learning mathematics in Nepal. We solicit feedback and suggestions from
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series in the future editions.
Our team would like to express our special thanks to Mr. Nara Bahadur
Gurung, Mr. Ram Narayan Shah, Mr.Tulsi Kharel, Mr. Mani Ram Khabas, Mr. Umesh
Acharya, Mr. J. Phuldel, Mr. Kamal Raj Tripathee, Mr. Rudra Prasad Pokharel, Mr.
Uttam Prasad Panta, Mr. L.N. Upadhyaya, Mr. Shakti Prasad Acharya, Mr. Upendra
Subedi, Mr. Kul Narayan Chaudhary, Mr. Bishonath Lamichhane, Mr. Harilal
Lamichhane, Mr. Govinda Paudel, Mr. Krishna Aryal, Mr. Nim Bhujel, Mr. Santosh
Simkhada, Mr. Pashupati Upadhyaya, Mr. Dipak Adhikari, Mr. Mukti Adhikari,
Mr. Dipendra Upreti, Mr. Dipak Khatiwada, Mr. Narayan Nepal, Mr. Raj Kumar
Dahal, Mr. Bhim Raj Kandel, Mr. Prem Giri,Mr. Iswor Khanal, Mr. Balram Ghimire,
Mr. Om Kumar Chhetri, Mr. Ram Hari Bhandari, Mr. Krishna Kandel, Mr. Madhav
Atreya, Mr. Harihar Adhikari, Mr. Chura Gurung, Mr. Shiva Devkota, Mr. Chandra
Dev Tiwari, Jivan K.C., Raghu Kandel and Baikuntha Marhattha and Subash Bidari
for their Painstaking effort in peer reviewing of this book.
Contents
Chapter Topic Page
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Chapter
1 Sets
Objectives
At the end of this chapter, the Students will be able to
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• represents the sets in the Venn – diagram
• solve the word problems related to cardinality of sets by using a
Venn – diagrams
• solve the problems by using the properties related between the sets
Teaching materials:
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Chart of related formula, Geometry Box
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1. a) 3 b) 11 c) 10 d) i. 26 ii. 4
2. a. i) 10 ii) 15 b. ii) 34 iii) 85
c.i) 25 ii) 22 d. ii) 550 iii) 700
3. a. i) 20% ii) 60% b) 400, 80 c) i) 400 ii) 120
4. a. i) 22 ii) 8 b) ii) 200 c) i) 70, ii) 60
5. a. ii)15% b) ii) 40
6. a) 5 b) 40 c) 25,50,75 d) 7%
7. a) 10 b. i) 25% ii) 18% iii) 18%
iv) 16% c. i) x ii) 52 iii) 76
iv) 198 d. i. 17 ii.38 iii.3
8. a. i. 13 ii. 25 iii. 215 b. ii. 30%
iii. 28% iv. 24% c.i. 11 ii. 6
iii. 51 d.16
9. a. 1 b.ii. 8 iii. 28 c. 48
d i. 2 ii. 14
Miscellaneous Exercises:
1. a. 42 b. 400 c. 100 d. 5
c. 400 d. ii. 5
2. a. ii. 10 b. ii. 8 c. 11 d.i. 335
3. a. 120 b. 1800 ii. 10
Chapter
2 Arithmetic
Objectives
At the end of this chapter, the Students will be able to
• collect and solve the problems of VAT and money exchange.
• take the knowledge about the process to calculate the compound interest.
• solve the problems of compound interest.
• solve the simple problems related to population growth and compound
depreciation.
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Prime Mathematics 10
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