Math Puzzles

1 Intelligent Australia Productions 1 crossword Maths Vol 1 Intelligent Australia Productions First published in 2006 by Intelligent Australia Productions Ron Shaw 2006 ISBN 0-9756975-7-9 IAP 006 Intelligent Australia Productions PO Box 670 Hillarys, WA 6923 Australia Tel: (08) 9307 8365 Fax: (08) 9402 2339 Email: This book is dedicated to: Max Copying Instructions The contents of this publication may only be reproduced by the original purchaser for use within their own educational institution. The publisher prohibits the loaning or on-selling of this publication for the purposes of reproduction. Under the Australian Copyright Act 1968 a remuneration notice must be given to Copyright Agency Limited (CAL).

2 For details of the CAL license for educational institutions, contact CAL, 19/157 Liverpool St, Sydney NSW 2000, tel: (02) 9394 7600, fax: (02) 9394 7601, email: Intelligent Australia Productions is committed to raising standards in Literacy and Numeracy in Australian schools. Intelligent Australia Productions 2 Postal Address IAP PO Box 670 Hillarys, WA Australia 6923 Email Telephone (08) 9307 8365 Int l (618) 9307 8365 Fax (08) 9402 2339 Int l (618) 9402 2339 Intelligent Australia Productions is committed to raising standards in Literacy and Numeracy in Australian schools. Intelligent Australia Productions 3 Over hundreds of years, across many lands, Crosswords have combined successful learning with fun.

3 The sense of achievement in solving a clue is surpassed only by the successful completion of the crossword itself. The Puzzles in this book -designed to reinforce mathematical terms, concepts and skills- provide a fun alternative to traditional maths revision activities. The book provides students with a new, effective method of consolidating maths concepts that cover a broad spectrum of the curriculum. There is a crossword to consolidate almost every Maths concept. There are 16 Puzzles , designed to cater for students of all abilities. The Puzzles are of varying degrees of difficulty: easy medium challenging very challenging There are crosswords on Problem Solving where students are required to use their higher thinking skills (sequential and logical) in order to arrive at the correct solutions.

4 Fraction, Decimals and Percentages, with conversions between each, feature prominently. Other crosswords cover Order of Operations, Space, Time, Money and Measurement. Solutions to all Puzzles are included. Mathematical strands covered by the Crosswords in this book. PPrroobblleemm SSoollvviinngg FFrraaccttiioonnss,, DDeecciimmaallss aanndd PPeerrcceennttaaggeess MMoonneeyy TTiimmee RRoommaann NNuummeerraallss MMeeaassuurreemmeenntt SSppaaccee Plane Shapes OOrrddeerr ooff OOppeerraattiioonnss SSqquuaarreess aanndd SSqquuaarree RRoooottss TThhee FFoouurr OOppeerraattiioonnss G C R O S S W O R D S E F A C I L I T A T E T E L A Y R N I N G Learn well.

5 Have fun! The Editors, Intelligent Australia Productions Intelligent Australia Productions 4 Maths Strand Puzzle Title Page Problem Solving Some Real Testers 5-8 Fractions, Decimals & Percentages Fraction Fundamentals 9-12 Roman Numerals The Roman Number System 13-16 Money Money, Money, Money 17-20 Time About Time 21-24 Measurement Weights and Measures 25-28 Mixed A Bit of Everything 29-32 Problem Solving A Few Little Problems 33-36 Space Plane Shapes Ship Shape 37-40 Order of Operations All in Order 41-44 Squares and Square Roots Squares n Square Roots 45-48 Mixed Maths Super Puzzle 49-52 Fractions, Decimals & Percentages Same Quantities, Different Names 53-56 Measurement Length, Mass, Capacity 57-60 Problem Solving Work it Out 61-64 The Four Operations Operation Number 65-68 Student-created Maths crossword 69-70 Solutions 71-79 Intelligent Australia Productions 5 About Some Real Testers Description: Some Real Testers is a 44-clue problem-solving crossword covering many maths topics and concepts.

6 Some of the questions are very challenging and will test even the most able students. Many questions require the student to think logically. This crossword cannot be completed quickly; an entire maths lesson may be required for its completion. Which students will benefit most from doing this crossword ?: Students who have learned all the concepts shown on the following page. Also suitable for capable/ gifted students who may not have covered all these concepts. Excellent revision for older students. Level of Difficulty: Very challenging Intelligent Australia Productions 6 10 Concepts/Topics Covered in Some Real Testers Your students will encounter each of these concepts/topics in the crossword .

7 ---------- Fractions Ratio Money Time Linear Measure Mass Percent Cubed numbers Squared numbers Roman Numerals Intelligent Australia Productions 7 Level of difficulty 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 There are some weighty ones here! Intelligent Australia Productions 8 AAccrroossss DDoowwnn 1) Harry has half as many comics as Lisa who has a quarter as many as Tom.

8 Tom has 16 comics. How many comics does Harry have? 2) James, Peter and Danny caught 15 fish altogether. The fish that Peter caught were small. James caught twice as many fish as Danny who caught two large fish. Which of the three boys caught the most fish? 5) Three friends, Suzie, Annie and Julia competed in a 100m running race against six other girls. Annie finished ahead of three girls, Suzie came third in the race and Julia was two places behind Suzie. Which of the three friends had as many girls ahead of her as behind her at the end of the race? 10) There are sixteen people at Lucy s birthday party. Lucky Lucy has, not one, but two birthday cakes (same kind, same size). For each person at the party to receive the same amount of cake each cake will need to be cut into _ _ _ _ _ _ _?

9 11) 3 x 6 = 18 and 6 + 6 + 6 = 18. From this we can see that multiplication is simply repeated _ _ _ _ _ _ _ _? 13) A 1-litre jug is full of water. How many glasses each containing 250 ml water are needed to fill the jug? 14) The combined age of Deb, Liz and Eli is 36. Eli is twice as old as Liz who is 4 years older than Deb. Which girl s age is 1 more than of the girls combined age? 16) Roz, Fay and Ann were going to see a movie. Roz arrived at the cinema 10 minutes early, Fay arrived on time and Ann arrived 10 minutes late. If the girls had agreed to meet at 2pm who arrived 900 seconds after 17) Charles has saved $95 towards a new BMX bike. If the bike costs $335 and Charles is able to save $30 per month how many months must pass before Charles has enough money to purchase the bike?

10 20) What number is four times a quarter of its square? 22) How much is twice (52 42 32)? 24) If Trevor is twice as old as Robert, Walter is three times as old as Steven (who is 12), and Trevor is half Walter s age, whose age is of Walter s? 25) Ted, Bob and Dan all sat for the Astronaut Theory Test. Ted s score of 80% was the highest, Bob scored 75% and Dan scored 60%. Who had a score which was as much as Ted s? 26) Cherie and Wanda split $50 in the ratio 2:3. Who received $30? 27) Mike and Jeff caught 20 fish together. Jeff caught 60% of the fish. Who caught twelve fish? 28) If Josie is 30% of Nan s age and Josie is 15, how old is Nan? 30) 33 divide by 27. 31) If overweight Uncle Bill wishes to average exactly 2kg per week weight loss and he s lost 8kg in 3 weeks does he need to reduce or increase his rate of weight loss?