MATHEMATICALOLYMPIADTRAINING BOOK

LEVEL 1(7–8 years)

Terry ChewMaster trainer at Terry Chew Academy and Co-Founder/Academic Director of

Name:

Class:

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ALL RIGHTS RESERVEDAll 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-13 978-981-32-1748-5ISBN-10 981-32-1748-0

Printed in Singapore

Mathematical Olympiad Training Book Level 1

First Edition 2019

© Singapore Asia Publishers Pte Ltd and Terry Chew

Published and Distributed by: Singapore Asia Publishers Pte Ltd219 Henderson Road #10-04 Henderson Industrial Park Singapore 159556 Tel : +65 6276 8280 Fax : +65 6276 8292 Email: info.sg@sapgrp.comWebsite: www.sapgrp.comFacebook: Singapore-Asia-Publishers

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00 Copyright_A Mathematical Olympiad Prep Book L1.indd 1 2019/7/10 9:57:20

Printed under licence in Australia by Five Senses Education Pty Ltd

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Mathematical Olympiad Training Book Level 1© Singapore Asia Publishers Pte Ltd and Terry Chew

�

1. Findthesumofeachseriesbypairingthefirst number with the last one, the second number with the second last one, and so on.

(a) �+2+3+4+5

(b) 2+4+6+8+�0+�2

(c) �+3+5+7+9+��

(d) �+2+3+4+5+6+7+8+9+�0

2. Complete each number pattern below.

(a) 1, 3, 5, 7, ( ), ( ), ...

(b) 1, 4, ( ), 10, 13, ( ), ...

(c) 3, 6, ( ), ( ), 15, 18, ...

(d) 1, 2, 4, 8, ( ), 32, ...

3. Write the correct time for each clock. (a)

(b)

(c)

4. Chloe is 4 years old. Her brother is12 years old. How many 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?

3m

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6. 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 altogether in the first six hours?

7. Complete each number pattern.

(a) 2, 3, 5, 8, 13, ( ), ...

(b) 1, 2, 4, 7, ( ), ( ), ...

(c) 1, 6, 7, 12, 13, ( ), ( ), ...

(d) 1, 1, 2, 3, 5, ( ), ( ), ...

8. Write the correct time for each clock.

(a)

(b)

(c)

9. Matthew’s mother is 34 years old.Matthew is 7 years old. How many years older is Matthew’s mother than he is?

10. Jeffrey’s house is on the 3rd floor of a block of flats. The staircase betweenevery floor has 12 steps. How many steps must Jeffrey climb in order to reach his house?

11. Findthesumofeachseriesbypairingtwo numbers that sum up to a multiple of�0.

(a) 2+3+4+5+6+7+8

(b) 2+3+4+5+�5+�6+�7+�8

(c) �+3+5+7+�3+�5+�7+�9+20

(d) �2+�4+�6+24+26+28

12.Findthemissingnumbers.

�5 5

�0

�� 7

4

9

4

�8

6

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13. Given the time below each clock, draw the hour and minute hands on the clock faces.

(a)

6.00

(b)

3.00

(c)

8.00

14. Sam is 7 years old. His sister is 10 years old. How many years younger is Sam than his sister in 5 years’ time?

15.Aseamanneedstotie6ropestogetherto make a long rope. How many knots are there altogether? Assume both ends of the long rope are not tied together.

16. Computethesumofeachseriesbyfinding the difference in each pair first.

(a) 24 – 22 + 20 – 18 + 16 – 14 + 12 – 10

(b) 24 – 21 + 18 – 15 + 12 – 9 + 6 – 3

(c) 2 + 4 + 6 + 8 + 10 – (1 + 3 + 5 + 7 + 9)

(d) 10 + 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8

17.Findthemissingnumbers.

23 35

25 33

�2 24

�4 22

�0 �8

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18. Given the time below each clock, draw the hour and minute hands on the clock faces.

(a)

6.30

(b)

9.15

(c)

8.40

19. Melissa is 6 years old. Mark is 9 years old. How old will Mark be when Melissa is

15 years old?

20. There are 15 lamp-posts along a road. There is a tree between every twolamp-posts. How many trees are there along the road?

21. Use a simple method to solve the following.

(a) 63 – 61 + 59 – 57 + 55 – 53 + 4

(b) 53 + 28 – 23 – 48 + 36 – 31 + 5

(c) 40 + 52 – 48 + 46 – 42 + 40 – 36

(d) 50 + 12 – 10 + 16 – 14 + 20 – 18 + 24 – 22

22. Complete each number pattern.

(a) 6, 7, 9, 12, 16, ( ), ( ), 34, ...

(b) 2, 4, ( ), ( ), 10, 12, ...

(c) 10, 11, 13, ( ), 20, ( ), 31, ...

(d) 2, 3, 5, ( ), 13, 21, ( ), ...

23. Can you tell the time for the 4th clock?

1st clock

2nd clock

3rd clock

4th clock

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Mathematical Olympiad Training Book Level 1© Singapore Asia Publishers Pte Ltd and Terry Chew

1. (a) 2 pairs of 6, together with 3. 2×6=�2 �2+3=15 (b) 3pairsof�4. 3×�4=42 (c) 3pairsof�2. 3×�2=36 (d) 5pairsof��. 5×��=55

2. (a) 1, 3, 5, 7, (9), (11), ...

+2 +2 +2 +2 +2

(b) 1, 4, (7), 10, 13, (16), ...

+3+3 +3 +3 +3

(c) 3, 6, (9), (12), 15, 18, ...

+3 +3 +3 +3 +3

(d) 1, 2, 4, 8, (16), 32, ...

×2×2×2 ×2 ×2

3. (a) 3o’clock (b) 5o’clock (c) 8o’clock

4. The difference in age does not change. 12 – 4 = 8 Her brother is 8 years older than Chloe in 10

years’ time.

5. There are 4 intervals. Each interval is 3 m. 4×3=�2m The road is 12m long.

6.

�+2+3+4+5+6 =3×7 =2� The clock chimes 21 times altogether in the first

six hours.

7. (a) Add up the two preceding terms. 8+�3=2� 2, 3, 5, 8, 13, (21), ... (b) Increaseaddendby�. 1, 2, 4, 7, (11), (16), ... +�+2+3 +4 +5

(c) Add 5 to all odd terms. Add 1 to all even terms. 1, 6, 7, 12, 13, (18), (19), ...+5+� +5 +� +5 +� (d) Add up the two preceding terms. 3+5=8 5+8=�3 1, 1, 2, 3, 5, (8), (13), ...

8. (a) 30minutespast1/halfpast1/onethirty/1.30 (b) 10minutesto8/sevenfifty/7.50 (c) 15minutespast6/aquarterpast6/

sixfifteen/6.15

9. 34 – 7 = 27 Matthew’s mother is 27 years older than he is.

10. Jeffrey has to climb 2 staircases to reach his house. 2�2=24 Jeffrey must climb 24stepsinordertoreachhis

house.

11. (a) 3 pairs of 10, together with 5. 3×�0+5=35 (b) 4pairsof20. 4×20=80 (c) 4 pairs of 20, together with 20. 5×20=100 (d) 3pairsof40. 3×40=120

12.�0+5=�513 9

4

�8 12

6

4+7=�� 4+9=�3 18 – 6 = 12

13.(a) (b) (c)

14. The difference in age does not change. 10 – 7 = 3 Samis3 years younger than his sister in 5 years’ time.

15. There is a knot for every two ropes.

There are 5 knots altogether.

16.(a) 2+2+2+2=8 (b) 3+3+3+3=12(c) 2 + 4 + 6 + 8 + 10 – (1 + 3 + 5 + 7 + 9) = 2 + 4 + 6 + 8 + 10 – 1 – 3 – 5 – 7 – 9 = 2 – 1 + 4 – 3 + 6 – 5 + 8 – 7 + 10 – 9 =�+�+�+�+� =5 (d) 10 + 1 + 3 + 5 + 7 – 2 – 4 – 6 – 8 = 26 – 20 =6

17.23+2=25 23+�0=33 23+�2=35

8 20

�0 �8

�2+2=�4 �2+�0=22 �2+�2=24

8+2=�0 8+�0=�8 8+�2=20

18.(a) (b) (c)

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