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MATHEMATICALOLYMPIADTRAINING BOOK
LEVEL 1(7–8 years)
Terry ChewMaster trainer at Terry Chew Academy and Co-Founder/Academic Director of
Name:
Class:
Title Page_Mathematical Olympiad Training Book L1.pdf 1 31/1/2019 12:06:12 PM
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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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Mathematical Olympiad Training Book Level 1© Singapore Asia Publishers Pte Ltd and Terry Chew
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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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