OLYMPIAD MATHS TRAINER 7 8 AGE

Olympiad Maths Trainer là bộ sách bài tập Toán gồm 6 cuốn, dành cho học sinh từ 7 13 tuổi. Bộ sách được biên soạn bởi Terry Chew – thầy giáo có nhiều năm kinh nghiệm trong việc ôn luyện cho học sinh tham gia các kỳ thi Toán quốc tế và là tác giả nổi tiếng tại Singapore. Ông luôn hướng tới việc tìm kiếm giải pháp để giải quyết các bài toán khó một cách đơn giản và hiệu quả nhất. Các cuốn sách sẽ cung cấp bài tập thực hành cho các dạng toán khác nhau đã được giới thiệu trong bộ sách đầu tiên của tác giả là bộ “Đánh thức Tài năng Toán học” (Unleash the Maths Olympian in You). Trong hai cuốn đầu tiên của bộ sách này, học sinh sẽ được giới thiệu 5 dạng toán trong 12 tuần. Sau đó, các em có thể áp dụng các kỹ năng tư duy khác nhau để giải từng dạng toán. Bốn cuốn sách còn lại bao gồm 6 dạng toán. Theo đó, bộ sách sẽ mở ra trước mắt các em một thế giới toán học giúp kích thích khả năng sáng tạo để giải các bài toán thách thức tư duy. Ngoài ra, với 2 bài test trong mỗi cuốn sách còn giúp các em tự hệ thống lại toàn bộ kiến thức đã học, cũng như sử dụng chính kiến thức này để giải quyết các dạng toán hóc búa đó.

ALL RIGHTS RESERVED

Vietnam edition copyright © Sivina Education Joint stock Company, 2016.

All rights reserved No part of this publication may be reproduced, stored in a retrieval system or transmitted

in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the publishers.

ISBN: 978 - 604 - 77 - 2311 - 9

Printed in Viet Nam

Bản quyền tiếng Việt thuộc về Công ty Cổ phần Giáo dục Sivina, xuất bản theo hợp đồng chuyển nhượng bản quyền giữa Singapore Asia Publishers Pte Ltd và Công ty Cổ phần Giáo dục Sivina 2016.

Bản quyền tác phẩm đã được bảo hộ, mọi hình thức xuất bản, sao chụp, phân phối dưới dạng in ấn, văn bản điện tử, đặc biệt là phát tán trên mạng internet mà không được sự cho phép của đơn vị nắm giữ bản quyền

là hành vi vi phạm bản quyền và làm tổn hại tới lợi ích của tác giả và đơn vị đang nắm giữ bản quyền Không ủng hộ những hành vi vi phạm bản quyền Chỉ mua bán bản in hợp pháp.

ĐƠN VỊ PHÁT HÀNH:

Công ty Cổ phần Giáo dục Sivina

Địa chỉ: Số 1, Ngõ 814, Đường Láng, Phường Láng Thượng, Quận Đống Đa, TP Hà Nội

Olympiad Maths TraineR 1

FOREWORD

I first met Terry when he approached SAP to explore the possibility of publishing Mathematical Olympiad type questions that he had researched, wrote and compiled What struck me at our first meeting was not the elaborate work that he had consolidated over the years while teaching and training students, but his desire to make the materials accessible

to all students, including those who deem themselves “not so good” in

mathematics Hence the title of the original series was most appropriate:

Maths Olympiad – Unleash the Maths Olympian in You!

My understanding of his objective led us to endless discussions on how to make the book easy to understand and useful to students of various levels It was in these discussions that Terry demonstrated his passion and creativity in solving non-routine questions He was eager to share these techniques with his students and most importantly, he had also learned alternative methods of solving the same problems from his group of bright students.

This follow-up series is a result of his great enthusiasm to constantly sharpen his students’ mathematical problem-solving skills I am sure those

who have worked through the first series, Maths Olympiad – Unleash the Maths Olympian in You!, have experienced significant improvement

in their problem-solving skills Terry himself is encouraged by the positive feedback and delighted that more and more children are now able to work through non-routine questions.

And we have something new to add to the growing interest in

Mathematical Olympiad type questions — Olympiad Maths Trainer is now on Facebook! You can connect with Terry via this platform and share

interesting problem-solving techniques with other students, parents and teachers.

I am sure the second series will benefit not only those who are preparing for mathematical competitions, but also all who are constantly looking for additional resources to hone their problem-solving skills.

Michelle Yoo

Chief Publisher

SAP

Olympiad Maths TraineR 1

A word from the author

Dear students, teachers and parents,

Welcome once more to the paradise of Mathematical Olympiad where the enthusiastic young minds are challenged by the non-routine and exciting mathematical problems!

My purpose of writing this sequel is twofold.

The old adage that “to do is to understand” is very true of mathematical learning This series adopts a systematic approach to provide practice for the various types of mathematical problems introduced in my first series

of books

In the first two books of this new series, students are introduced to 5 different types of mathematical problems every 12 weeks They can then apply different thinking skills to each problem type and gradually break certain mindsets in problem-solving The remaining four books comprise 6 different types of mathematical problems in the same manner In essence, students are exposed to stimulating and interesting mathematical problems where they can work on creatively

Secondly, the depth of problems in the Mathematical Olympiad cannot be underestimated The series contains additional topics such as the Konigsberg Bridge Problem, Maximum and Minimum Problem, and

some others which are not covered in the first series, Maths Olympiad – Unleash the Maths Olympian in You!

Every student is unique, and so is his or her learning style Teachers and parents should wholly embrace the strengths and weaknesses of each student in their learning of mathematics and constantly seek improvements

I hope you will enjoy working on the mathematical problems in this series just as much as I enjoyed writing them.

Terry Chew

Olympiad Maths TraineR 1

Olympiad Maths Trainer - 1

Solve these questions Show your working clearly Each question carries

years older is her brother than Chloe in 10 years’ time?

5 Five trees are planted from end to end along a road The

distance between every two trees is 3 m How long is the road?

3 m

page 1

WEEK 1

Olympiad Maths Trainer - 1 Terry Chew

Solve these questions Show your working clearly Each question

carries 4 marks.

1 The clock chimes once at 1 o’clock,

twice at 2 o’clock, thrice at 3 o’clock

and so on How many times does the clock chime

page 1

WEEK 2

Olympiad Maths Trainer - 1 Terry Chew

Solve these questions Show your working clearly Each question

2 Find the missing numbers.

Name: Date:

page 2 WEEK 3

18 6

years younger is Sam than his sister in 5 years’ time?

5 A seaman needs to tie 6 ropes together to make a long

rope How many knots are there altogether? Assume both ends of the long rope are not tied together

page 1

WEEK 3

Olympiad Maths Trainer - 1 Terry Chew

Solve these questions Show your working clearly Each question

2 Find the missing numbers.

5 There are 15 lamp posts along a road There is a tree

between every two lamp posts How many trees are there along the road?

page 1

WEEK 4

Olympiad Maths Trainer - 1 Terry Chew

Solve these questions Show your working clearly Each question

Terry Chew 10

3 Can you tell the time for the 4th clock?

4 Nicholas will be 3 years younger than his sister in 5 years’

time Nicholas is 9 years old How old is his sister?

5 8 matchsticks are lying neatly on a table There are

2 marbles between every 2 matchsticks How many marbles are there altogether?

page 1

WEEK 5

Olympiad Maths Trainer - 1 Terry Chew

Solve these questions Show your working clearly Each question

2 Find the missing numbers.

Terry Chew 12

3 Which clock is not working properly?

Clock 1 Clock 2 Clock 3

4 Michael’s cousin is 18 years old Michael is 7 years old

Olympiad Maths Trainer - 1 Terry Chew

Solve these questions Show your working clearly Each question

carries 4 marks.

1 Use a simple method to find the sum of the following.

(a) 18 + 82 + 40

(b) 29 + 71 + 83 + 17

(c) 24 + 76 + 54 + 43 + 57 + 46

(d) 12 + 13 + 24 + 27 + 26 + 28

2 Find the missing numbers.

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 ( ) 10 ( ) 5 1

Olympiad Maths Trainer 1 WEEK 7 Name: Date:

Class: Marks: /20

page 2 WEEK 7

5 There are 9 trees from end to end along a road Each tree

is 3 m away from the other How long is the road?

3 m

page 1

WEEK 7

Olympiad Maths Trainer - 1 Terry Chew

Solve these questions Show your working clearly Each question

many times does the clock chime from 1 to 4 o’clock?

Name: Date:

6

2 7

20

10 5

2 9

page 2 WEEK 8

page 1

WEEK 8