1 - Australian Teacher

Smarten up in Maths (age 8-9)Intelligent Australia ProductionsFirst published in 2008 by Intelligent Australia Productions© Ron Shaw 2008ISBN 978-0-9805774-3-3IAP 037Intelligent Australia ProductionsPO Box 670Hillarys, WA 6923AustraliaTel: (08) 9307 8365Fax: (08) 9402 2339Email: intelligent.australia@yahoo.comCOPYING OF THIS BOOK BY EDUCATIONAL INSTITUTIONSA purchasing educational institution may only photocopy pages within this book in accordance withthe Australian Copyright Act 1968 (the Act) and provided the educational institution (or body thatadministers it) has given a remuneration notice to the Copyright Agency Limited (CAL) under the Act.AcknowledgementsIn this book Intelligent Australia Productions has used graphics that were obtained underlicence from Jupiter Images. IAP is indebted to rightful copyright holders of othergraphics and illustrations who kindly consented to their use here. Yet other images used inthis work are freely available in the Public Domain.In the few cases where attempts to gain permission for use from original copyright holders were not successful:If you believe in good faith that materials used by us infringe your copyright, you (or your agent) may send us a written notice that includesthe following information:• A clear identification of the copyrighted work you claim was infringed.• A clear identification of the material you claim is infringing the copyrighted work, and information that will allow us to locate that material,such as a link to the text or graphic.• Your contact information so that we can reply to you, preferably including an email address and telephone number.• A statement that you have a "good faith belief that the material that is claimed as copyright infringement is not authorized by the copyrightowner, its agent, or the law."• A statement that "the information in the notification is accurate, and under penalty of perjury, the complaining party is authorized to act onbehalf of the owner of an exclusive right that is allegedly infringed."The notice must be signed by the person authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.Notices should be sent to our address at the top of this page. We will review and address all notices that comply with the requirementsabove. We suggest that you consult your legal advisor before filing a notice or counter-notice.Also, be aware that you may be liable for damages if you make a false claim of copyright infringement.Dedicated to the students of Beaconsfield Primary School

Smarten up in Maths (age 8-9)Postal AddressIAPPO Box 670Hillarys, WAAustralia 6923Emailintelligent.australia@yahoo.comTelephone(08) 9307 8365 Int’l (618) 9307 8365Fax(08) 9402 2339 Int’l (618) 9402 2339Intelligent Australia Productions is committed to raising standardsin Literacy and Numeracy in Australian schools.www.intelligentaustralia.com© Intelligent Australia Productions2

Smarten up in Maths (age 8-9)ContentsTeachers Notes 4Addition Adding a three-digit number to a three-digit number: no carrying 5Addition Adding a three-digit number to a three-digit number: carrying 6Subtraction Subtracting a three-digit number from a three-digit number: no carrying 7Subtraction Subtracting a three-digit number from a three-digit number: carrying 8Multiplication Multiplying a two-digit number by a one-digit number (carrying)9Multiplication Times Tables Grids 10a one-digit number (no carrying)Division How to set out division problems (two ways) 11Number Sentences Insert a + or – sign to make the number sentence true (three-digit numbers) 12Doubling & Halving A quick way to double and halve many large numbers. 13Number Patterns Whole Numbers Increasing & Decreasing. Write the missing number. 14Number Patterns Whole Numbers Increasing & Decreasing. Write the missing numbers. 15Numbers to 999 Reading & Writing Numbers 16Numbers to 999 Ordering Smallest first; Largest first 17Place Value Thousands, Hundreds, Tens & Units 18Numbers to 9999 Ordering Smallest first; Largest first 19Fractions Halves, Quarters & Eighths 20Fractions Halves, Quarters & Eighths 21Fractions Tenths & Hundredths 22Decimals Tenths & Hundredths Decimal & Fractional equivalence 23Fractions & Decimals Tenths & Hundredths 24Ordering Decimal & Fractional Quantities Tenths & Hundredths 25Telling the Time Minutes to and past the hour: multiples of 5 minutes Writing times. 26Telling the Time Minutes to and past the hour: multiples of 5 minutes Drawing hands. 27Measuring with a Ruler Measuring lines to the nearest millimetre 28Plane Shapes Naming and drawing shapes 29Solid Shapes Name the shape and give a real-life example 30Problem Solving Money 31Problem Solving Measurement 32Problem Solving Time 33Problem Solving Real-life Situations 34Solutions 35© Intelligent Australia Productions3

Smarten up in Maths (age 8-9)Teachers NotesAboutThis book has been written to complement core Mathematics texts forAustralian students aged 8 and 9.In some States this equates to year three and in others to year four.In many classrooms there is an age range of twelve months or more; thismay mean there are students in the class who are barely 8 years old whileothers are well past their 9 th birthday.The pages that follow endeavour to address this anomaly by providingactivities that cater to ages across such a range.What this book offers* exercises in the most important concepts from the Mathematics syllabus* worksheets with easy-to-follow instructions and space for working-out* solutions at the back of the book, for ready reference* activities that are equally useful as in-class lessons or home assignmentsBenefits of UseTeachers who use these worksheets with their students will be pleased withthe results. There is plenty of scope for consolidation of previously-learnedconcepts and ample opportunities for accomplished maths students todemonstrate their skills.© Intelligent Australia Productions4

Smarten up in Maths (age 8-9)AdditionAdding a three-digit number to athree-digit number (no carrying)1)413+ 352____2)296+ 103____3)441+ 134____4)336+ 101____5)209+ 750____6)545+ 120____7)373+ 103____8)321+ 217____9)563+ 102____10)342+ 320____11)290+ 506____12)115+ 542____13)372+ 103____14)473+ 215____15)416+ 140____© Intelligent Australia Productions5

16)382+ 114____17)117+ 412____Smarten up in Maths (age 8-9)18)436+ 220____19)593+ 204____20)464+ 103____1)214+ 468____2)507+ 269____AdditionAdding a three-digit number to athree-digit number (carrying)3)381+ 409____4)172+ 418____5)227+ 118____6)326+ 480____7)456+ 192____8)287+ 682____9)691+ 192____10)448+ 370____11)467+ 379____12)553+ 287____13)487+ 248____14)198+ 198____15)356+ 465____© Intelligent Australia Productions6

16)479+ 332____17)458+ 199____Smarten up in Maths (age 8-9)18)723+ 189____19)658+ 158____20)379+ 296____1)346- 125____6)582- 152____11)557- 151____2)803- 601____7)139- 116____12)886- 324____SubtractionSubtracting a three-digit number from athree-digit number (no carrying)____3)495- 272____8)347- 201____13)290- 180________© Intelligent Australia Productions4)708- 307____9)642- 612________14)711- 501________5)771- 611____10)999- 346________15)852- 312________ 7

16)683- 640________1)436- 228____6)327- 229____17)701- 300____2)535- 119________7)877- 269____Smarten up in Maths (age 8-9)18)195- 115____Subtraction3)487- 268____8)446- 328____19)375- 261____Subtracting a three-digit number from athree-digit number (carrying)4)153- 119____9)510- 203____20)483- 121____5)654- 518____10)620- 118____11)466- 158____12)236- 229____13)478- 129____14)220- 101____15)347- 128____© Intelligent Australia Productions8

16)543- 267____17)640- 189____Smarten up in Maths (age 8-9)18)802- 447____19)600- 291____20)590- 394____Multiplication1) 23x 6Multiplying a two-digit number bya one-digit number (carrying)2) 65x 53) 37x 44) 28x 35) 42x 76) 58x 97) 36x 78) 29x 99) 84x 810) 26x 311) 19x 712) 38x 4© Intelligent Australia Productions9

13) 92x 614) 79x 3Smarten up in Maths (age 8-9)15) 25x 816) 54x 917) 63x 718) 18x 719) 86x 620) 67x 3MultiplicationTimes Tables GridsHow fast can you complete these grids?Your teacher will tell you when to start and stop.x 52 4 x 92 84 35 9x 06 7 x 57 88 32 4© Intelligent Australia Productions10

Smarten up in Maths (age 8-9)6 30 9x 52 4 x 97 06 60 7DivisionHow to setxxxxxxxxxxxxxxxxxxout division problems (two ways)Dividing is about finding how many groups.Example: How many 7s in 21? ?This may be written 21 ÷ 7 = ? or 7)21ooooooooooooooooooooo8 3I want to find how many lots of 7 fit into 21.I draw 7 circles, then another 7, then another 7, as shown here. (I stop because I now have 21).3 3Answer: 21 ÷ 7 = 3 or 7)21Use this method to find the answers to the following divisionquestions. Draw very small circles as above.Write your answers in the two ways shown here.1) How many 4s in 16? 2) How many 9s in 18? 3) How many 3s in 12? 4) How many 6s in 24?o o o oo o o oo o o o© Intelligent Australia Productions11

Smarten up in Maths (age 8-9)5) How many 8s in 16? 6) How many 3s in 15? 7) How many 7s in 14? 8) How many 4s in 20?9) How many 5s in 25? 10) How many 2s in12?11) How many 3s in18?12) How many 4s in24?13) How many 6s in30?14) How many 8s in24?15) How many 7s in28?16) How many 9s in27?Number Sentences(three-digit numbers)Write a + or – sign in the circles to make the number sentences true.1)3)5)7)158 234 = 392 2) 188 155 = 343410 299 = 111703 434 = 269450 471 = 9214)6)8)742 477 = 265721 299 = 422800 564 = 236© Intelligent Australia Productions12

9)884 567 = 31711)567 412 = 15513)477 178 = 65515)755 432 = 32317)199 198 = 39719)578 156 = 422Smarten up in Maths (age 8-9)10)357 617 = 97412)693 213 = 90614)867 584 = 28316)255 278 = 53318)174 302 = 47620)844 632 = 212Many numbers may be doubled or halved by doubling orhalving their individual digits.Example 1 Doubling the individual digits in 30 results in 60Example 2 Doubling the individual digits in 124 results in 248Example 3 Halving the individual digits in 22 results in 11Example 4 Halving the individual digits in 486 results in 2431) Double 2.Doubling & HalvingThere is a quick way to double and halve many large numbers.- Doubling -2) Double 4. 3) Double 3.4) Double 5.…………….….5) Double 10.…………….….6) Double 20.…………….….7) Double 30.…………….….8) Double 40.…………….….…………….….…………….….…………….….© Intelligent Australia Productions13

9) Double 100.Smarten up in Maths (age 8-9)10) Double 200.11) Double 300.12) Double 400.…………….….13) Double 11.…………….….14) Double 22.…………….….15) Double 33.…………….….16) Double 44.…………….….17) Double 12.…………….….18) Double 23.…………….….19) Double 41.…………….….20) Double 123.…………….….21) Halve 4.…………….….- Halving -…………….….22) Halve 10. 23) Halve 6.…………….….24) Halve 20.…………….….25) Halve 8.…………….….26) Halve 12.…………….….27) Halve 40.…………….….28) Halve 60.…………….….29) Halve 80.…………….….30) Halve 22.…………….….31) Halve 44.…………….….32) Halve 200.…………….….33) Halve 400.…………….….34) Halve 600.…………….….35) Halve 800.…………….….36) Halve 842.…………….….…………….….…………….….…………….….1)14, 17, 20, 23, ____, 29, 32___3)71, 73, 75, ____, 79, 81, 83___Number PatternsWhole Numbers Increasing & DecreasingWrite the missing number5)11, 15, ____, 23, 27, 31, 35_______© Intelligent Australia Productions2)10, 13, 16, ____, 22, 25, 28___4)3, 5, ____, 9, 11, 13, 15, 17___6)43, 47, 51, ____, 59, 63, 67_______14

7)5, ____, 17, 23, 29, 35, 41____9)___ 4, ____, 14, 19, 24, 29, 34Smarten up in Maths (age 8-9)8)2, ____, 16, 23, 30, 37, 44___10)8, ____, 28, 38, 48, 58, 6811)22, ____, 16, 13, 10, 7, 4, 1 12)31, ____, 23, 19, 15, 11, 713)42, ____, 36, 33, 30, 27, 24____14)60, ____, 46, 39, 32, 25, 1815)54, ____, 42, 36, 30, 24, 18 16)100, ____, 94, 91, 88, 8517)____, 51, 43, 35, 27, 19, 11 18)____, 87, 83, 79, 75, 71, 6719)____, 46, 39, 32, 25, 18, 11 20)____, 88, 79, 70, 61, 52, 43Number PatternsWhole Numbers Increasing & DecreasingWrite the missing numbers1)56, 59, ____, 65, 68, _______3)5, 13, ____, 29, ____, 45____5)7, 16, 25, ____, 43, ____© Intelligent Australia Productions2)57, 63, ____, 75, 81, ____4)37, 44, ____, 58, 65, _______6)11, ____, 25, 32, ____, 46____15

7)23, 31, ____, 47, ____, 63____9)___ 9, ____, 21, 27, ____, 39Smarten up in Maths (age 8-9)8)6, 13, ____, 27, 34, _______10)14, 20, ____, 32, 38, ____11)44, 53, ____, 71, 80, ____ 12)19, 30, 41, ____, 63, ____13)56, 52, ____, 44, 40, ____ 14)71, 67, 63, ____, 55, ____15)37, 31, ____, 19, 13, ____17)50, 43, ____, 29, ____, 1519)80, 72, 64, 56, ____, ____16)49, 41, ____, 25, 17, ____18)63, 57, ____, 45, ____, 3320)60, 51, ____, 33, ____, 15Numbers to 999Reading & Writing NumbersB. Read the number to yourself (in your mind) & then write it in figures.1) Nine hundred and thirteen ………………….…….……2) Four hundred and twenty-one ……………….……….……The Eiffel Tower isthree hundred andtwenty-four metres tall.3) Six hundred and seventy-two …………………….….……4) Two hundred and four ……………….………….…5) Five hundred and ninety-nine ………………….…….……6) Eight hundred and sixteen ………………………..……© Intelligent Australia Productions16

Smarten up in Maths (age 8-9)7) One hundred and fifty-one ………………………..……8) Eight hundred and twenty-seven ………………….…….……9) Three hundred and eighty ………………………..……B. Say the number to yourself (in your mind) and then write it in words.1) 273 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….2) 447 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….3) 179 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….4) 668 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….5) 780 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….6) 593 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….7) 406 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….8) 993 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….9) 643 …………………………………………………………………………………………….…………………………………………………………………………………………………………...……………………………….Numbers to 999Ordering to 999 Smallest first; Largest firstPut these number cards in order, smallest first.543 623 1874541. 444 179 6424312. © Intelligent Australia Productions17

Smarten up in Maths (age 8-9)3. Put these number cards in order, largest first.677 742 8977994. 638 843 7506315. 599 633 1896026. 209 902 7886597. Place ValueThousands, Hundreds, Tens & UnitsMinutes to and past the hour: multiples of 5 minutesThousands place Hundreds place Tens place Units place4 576A. Write the place occupied by the 6. Example: 4 603 hundreds1) 8 764 ……….………………………………………….…… 2) 6 075 …………..………………………………………….…3) 5 216 ……….………………………………………………..… 4) 7 461 ……….…………..………………………………….…© Intelligent Australia Productions18

Smarten up in Maths (age 8-9)5) 2 679 ……….………………………………………….…….… 6) 2 063 ……….…….……………………………………….…7) 3 896 ……….……………………………………….……….… 8) 6 902 ……….………………………………..…………….…9) 9 602 ……….…………………………………………..…….… 10) 5 364 ……….…………………………………………….…B. Write the value of the underlined digit. Example: 7 253 7 0001) 8 104 ……….………….… 2) 1 075 ……….………….… 3) 5 218 ……….………….…4) 7 421 ……….………….… 5) 2 679 ……….………….… 6) 2 093 ……….………….…7) 3 896 ……….………….… 8) 4 906 ……….………….… 9) 9 102 ……….………….…C. Write the number made up of:Example: three tens, two thousands, zero hundreds, four units 2 0341) two tens, five thousands, seven hundreds, zero units ……….…………………….…2) one hundred, seven units, four tens, nine thousands ……….…………………….…3) one thousand, eight units, zero tens, six hundreds ……….…………………….…4) eight units, eight hundreds, nine tens, four thousands ……….…………………….…5) five tens, seven thousands, seven units, two hundreds ……….…………………….…6) zero units, seven hundreds, six tens, five thousands ……….…………………….…Numbers to 9999Ordering Smallest first; Largest firstPut these number cards in order, smallest first.6428 5837 59871. 3871 3854 40022. © Intelligent Australia Productions19

Smarten up in Maths (age 8-9)3. Put these number cards in order, largest first.5434 5221 53994. 9567 9576 94995. 8020 8018 81006. 2382 2299 23797. FractionsHalves, Quarters & EighthsMinutes to and past the hour: multiples of 5 minutesColour ½ red.Colour 2 / 4 red.** Colour from left to right, coloured pieces touching **Can you see that ½ is the same size as 2 / 4 ?2 / 4Colour 4 / 8 red.© Intelligent Australia ProductionsCan you see that 4 / 8, 2 / 4 and 1 / 2are all the same size?20

Smarten up in Maths (age 8-9)** Colour from left to right, coloured pieces touching **-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Now do the same with these circles. Use blue this time.-------------** Make sure coloured pieces are touching **Alongside each circle write the fraction you coloured blue.Can you again see that 4 / 8, 2 / 4 and 1 / 2 are all the same size?Challenge:You know that 1 / 2 = 2 / 4 = 4 / 8 . Notice that the numerators (the top part of each fraction)are doubling, and so are the denominators (the bottom part of each fraction).See if you can fill in the missing numerators and denominators below:1 / 2 = 2 / 4 = 4 / 8 = / 16 = 16 / = / 64 = / 128 = 128 /FractionsHalves, Quarters & EighthsFill in the blanks on the number lines.01 / 2 101 / 4 1 / 2 3 / 4 1 1 / 4 2© Intelligent Australia Productions21

Smarten up in Maths (age 8-9)2 2 1 / 4 401 / 8 2 / 8 6 / 8 11 1 1 / 8 1 5 / 8 2colour 1 / 4 colour 3 / 4 colour 5 / 8This is a “1” strip.1Now the “1” strip has been divided into 10 equal parts.Colour 3 / 10 red.FractionsTenths & HundredthsMinutes to and past the hour: multiples of 5 minutesWrite in the missing fraction: 3 / 10 +……………….= 1Write the fraction that is not shaded.It is 1 unitin length.Colour 6 / 10 blue.© Intelligent Australia Productions22

Smarten up in Maths (age 8-9)Write in the missing fraction: 6 / 10 +……………….= 1---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------This is a “1” slab.•The “1” slab hasbeen divided into10 equal parts.Now write the fraction that is not shaded.Now the “1” slab hasbeen divided into100 equal parts.1•Its size is 1 unit.If we divide the slab into10 equal parts, each partis called 1 / 10 .If we divide the slab into100 equal parts, eachpart is called 1 / 100 .Colour the first threecolumns red.Write the fraction that isshaded Write the fraction that isnot shaded Write the missing fractions….…………….….. + ……………….. = 1DecimalsTenths & HundredthsDecimal & Fractional equivalenceColour the first threecolumns blue.Do you agree that30 / 100 of the slab is blue?Can you see that30 / 100 + 70 / 100 = 1 ?Can you see that30 / 100 = 3 / 10 ?Do you agree that1 / 10 = 10 / 100 ?If we divide $1 evenly between ten people each person will receive 10c.That’s because 1 / 10 of $1 is 10c.We may write the fraction 1 / 10 as a decimal number.1 / 10 is 0.1 in decimal language. So we can say that 0.1 of $1 is 10c.What happens if we divide $1 evenly between 100 people?This time each person will receive only 1c. (that’s if we had 1c pieces!)We say 1 / 100 of $1 is 1c. OR we could say 0.01 of $1 is 1c.© Intelligent Australia Productions23

Smarten up in Maths (age 8-9)1c is such a tiny amount. How about we split up $100 rather than just $1?Can you can fill in the empty spaces in the table below?Fractions and Decimals of $100Amount Fraction Decimal$100100 / 100 1.0$9595 / 100 0.95$9090 / 100 We write 9 / 10 0.90 We write 0.9$8585 / 100 0.85$8080 / 100 We write 8 / 10 0.80 We write 0.8$7575 / 100$70 0.70 We write 0.765 / 100 0.65$6060 / 100 We write 6 / 10$55 0.55$50 0.50 We write 0.5$450.40 We write 0.435 / 100$25$20$15$10$530 / 100 We write 3 / 10Fractions & DecimalsTenths & Hundredths1. Write fractions to fill in the blanks on the number line.01 / 10 4 / 10 8 / 10 12. Write decimal numbers to fill in the blanks on the numberline.© Intelligent Australia Productions24

Smarten up in Maths (age 8-9)0 0.1 0.2 0.5 0.7 13. Write fractions to fill in the blanks on the number line.01 / 100 5 / 1004. Write decimal numbers to fill in the blanks on the numberline. NB The spaces along this line are the same size as those in 3 (above) because 1 / 100 = 0.01.0 0.01 0.055. Write decimal numbers to fill in the blanks on the numberline.1 1.1 1.3 1.6 26. Fill in the blanks on the number line.1 1 1 / 10 1 4 / 10 1 7 / 10 2Ordering Decimal &Fractional QuantitiesTenths & HundredthsPut these number cards in order, smallest first.0.98 / 10 0.41. 70 / 100 0.6595 / 100© Intelligent Australia Productions2. 25

Smarten up in Maths (age 8-9)0.23 / 10 1 / 103. Put these number cards in order, largest first.3 / 10 0.67 / 104. 75 / 100 0.9585 / 1005. 6 / 10 0.78 / 106. Telling the TimeWriting times shown on clocks.Minutes to and past the hour: multiples of 5 minutes© Intelligent Australia Productions26

Smarten up in Maths (age 8-9)Write the time shown on each clock.101112121211 110 210111212987653498765349876543: ::Is pm before noonor after noon?Just remember…. pm ispast midday.9108117126152341112110 29384765910811712615243: ::Telling the TimeDrawing hands on clock faces.Minutes to and past the hour: multiples of 5 minutes© Intelligent Australia Productions27

Smarten up in Maths (age 8-9)Draw hands on the clocks to match the times below.101112121211 110 2101112129876534987653498765438:05 4:5511:05I like to eat at 6.25.Me too. And also at 6.30, 6.35. 6.40….9108117126152341112110 293847659108117126152433:20 9:1012:35Measuring witha RulerMeasuring lines to the nearest millimetre© Intelligent Australia Productions28

Smarten up in Maths (age 8-9)Write the length of each line to the nearest millimetre.a. ………………..…….b. ………………..…….d.………………..…….c. ………………..…….e. ………………..…….f. ………………..…….g. ………………..…….h. ………………..…….i. ………………..…….j. ………………..…….k. ………………..…….l. ………………..…….m. ………………..…….Plane ShapesNaming & Drawing 2-D shapesWrite the name of each shape. Then try to draw a shape similar© Intelligent Australia Productions29

Smarten up in Maths (age 8-9)to it (yours can be a different size) You may use a ruler or you may draw in freehand.Shapes 4 and 5 are difficult to draw…..good luck!1.This shape is a t _ _ _ _ _ _ _Here is mine 2.This shape is a s _ _ _ _ _Here is mine 3.4.This shape is a r _ _ _ _ _ _ _ _Here is mine This shape is a p _ _ _ _ _ _ _Here is mine 5.This shape is a h _ _ _ _ _ _Here is mine mSolid Shapes1.Name the shape and give a real-life exampleThis © Intelligent shape Australia is a Productions s p _ _ _ _30

Smarten up in Maths (age 8-9)2.This shape is a c y _ _ _ _ _ _A real-life example is3.This shape is a c o _ _A real-life example is4.This shape is a p y _ _ _ _ _A real-life example is5.This shape is a p r _ _ _A real-life example is6.This shape is a c u _ _A real-life example isProblem SolvingMoney© Intelligent Australia Productions31

Smarten up in Maths (age 8-9)1) Tammy wants to buy six stickers for her sticker collection. Each stickercosts 25c. How much money does Tammy need to buy the stickers?Do your working and writeyour answer here. 2) Jonathon is saving $1.50 a week. How much will he have after six weeks?Do your working and writeyour answer here. 3) Timothy paid $4.75 for his lunch on Monday. On Tuesday he spent $2.95on lunch. How much more did Timothy spend on lunch on Monday than onTuesday?Do your working and writeyour answer here. 4) Eliza’s mother spends $3.50 on a magazine and$1.75 on a newspaper. How much does she spendaltogether?Do your working and write your answer below.5) Bree bought an eraser for 95c and a ruler for $1.70. How much more didthe ruler cost than the eraser?Do your working and writeyour answer here. 6) Dad bought tools for $119 and a wheelbarrow that cost$183. How much more was the wheelbarrow than the tools?Do your working and write your answer below.Problem SolvingMeasurement© Intelligent Australia Productions32

Smarten up in Maths (age 8-9)1) Lennie has a bad cough and each day he has to take 5ml of coughmixture. The bottle of cough mixture holds 40ml. How many days will themedicine last?Do your working and writeyour answer here. 2) Rose-Marie has a 36cm piece of string. She cuts the string into pieces,each 60mm long. How many pieces will she have?Do your working and writeyour answer here. 3) Hannah is 135cm tall and her big sister Yvette is70mm taller. How tall (in cm) is Yvette?Do your working and write your answer below.4) Carlos weighs 84kg. Pedro weighs 7kg less.a) How much does Pedro weigh?b) How much do the two men weigh together?Do your working and write your answer below.5) Some children visited a licorice-making factory and, as a souvenir, wereeach given a long stick of licorice. Jason’s licorice stick measured 300mm andJohanna’s was 32cm. a) Who had the longest piece of licorice? b)Whatwas the difference in length between the two pieces?Do your working and writeyour answer here. Problem SolvingTime© Intelligent Australia Productions33

Smarten up in Maths (age 8-9)1) Sonya’s bus was meant to arrive at 7:55am but it was 10 minutes late.At what time did the bus arrive?Do your working and writeyour answer here. 2) Jack has to be at football training at 4:15pm. It is now 3:35pm. Howmany minutes does Jack have before he is due at football training?Do your working and writeyour answer here. 3) The swimming race will start in 1½ minutes.How many seconds before the race begins?Do your working and write your answer below.4) Dad is due home from workin 2½ hours.How many minutes before dadis due home?Do your working and write your answer below.5) The clock on the wall shows the time as 5:05. We knowthat the clock is 15 minutes fast. What is the actual time?Do your working and write your answer below.6) Hanna finished at the dentist’s at 4:15.The bus arrived to take her home at 4:35.For how long did Hannah have to wait for the bus?Do your working and write your answer below.Problem SolvingReal-life Situations© Intelligent Australia Productions34

Smarten up in Maths (age 8-9)1) On Monday at Brolga Creek Primary School 53 children buy their lunch atthe school canteen and 9 children take their lunch from home.How many more children have a canteen lunch than a home-made lunch?Do your working and writeyour answer here. 2) Tim counts the spokes on the front wheel of his bicycle. There are 84spokes. Tim counts 78 spokes on the back wheel. How many spokes are theiraltogether on the two wheels?Do your working and writeyour answer here. 3) Tracey likes to read 6 pages each night in bed. In October she read everynight, always 6 pages. How many pages did Tracey read in October?Do your working and writeyour answer here. 4) Shep, my pet dog, has 4 shampoos a year. Each shampoolasts 30 minutes. How many minutes of shampooing doesShep have in a year? Do your working and write your answer below.5) Kaz did 84 hoop twirls and Shelley did 46. a) How many more hoop twirlsdid Kaz do than Shelley? b) How many hoop twirls did the girls doaltogether?Do your working and writeyour answer here. 6) Charlie and Oscar went fishing. Charlie used adifferent kind of bait from the bait that Oscar usedand with this bait he caught 3 times as many fishas did Oscar. Oscar caught 24 fish. How many fishdid Charlie catch?Do your working and writeyour answer here. Solutionspage 5 Addition Adding a three-digit number to a three-digit number: no carrying1) 765 2) 399 3) 575 4) 437 5) 959 6) 665 7) 476 8) 5389) 665 10) 662 11) 796 12) 657 13) 475 14) 688 15) 556 16) 49617) 529 18) 656 19) 797 20) 567© Intelligent Australia Productions35

Smarten up in Maths (age 8-9)page 6 Addition Adding a three-digit number to a three-digit number: carrying1) 682 2) 776 3) 790 4) 590 5) 345 6) 806 7) 648 8) 9699) 883 10) 818 11) 846 12) 840 13) 735 14) 396 15) 821 16) 81117) 657 18) 912 19) 816 20) 675page 7 Subtraction Subtracting a three-digit number from a three-digit number: no carrying1) 221 2) 202 3) 223 4) 401 5) 160 6) 430 7) 23 8) 1469) 30 10) 653 11) 406 12) 562 13) 110 14) 210 15) 540 16) 4317) 401 18) 80 19) 114 20) 362page 8 Subtraction Subtracting a three-digit number from a three-digit number: carrying1) 208 2) 416 3) 219 4) 34 5) 136 6) 98 7) 608 8) 1189) 307 10) 502 11) 308 12) 7 13) 349 14) 119 15) 219 16) 27617) 451 18) 355 19) 309 20) 196page 9 Multiplication Multiplying a two-digit number by a one-digit number (carrying)1) 138 2) 325 3) 148 4) 84 5) 294 6) 522 7) 252 8) 2619) 672 10) 78 11) 133 12) 152 13) 552 14) 237 15) 200 16) 48617) 441 18) 126 19) 516 20) 201page 10 Multiplication Times Tables Gridsteacher to checkpage 11 Division How to set out division problems (two ways)teacher to checkpage 12 Number Sentences Insert a + or – sign to make the number sentence true (three-digit numbers)1) + 2) + 3) - 4) - 5) - 6) - 7) + 8) - 9) - 10) + 11) - 12) +13) + 14) - 15) - 16) + 17) + 18) + 19) - 20) -page 13 Doubling & Halving A quick way to double and halve many large numbers.1. 4 2. 8 3. 6 4. 10 5. 20 6. 40 7. 60 8. 80 9. 200 10. 40011. 600 12. 800 13. 22 14. 44 15. 66 16. 88 17. 24 18. 46 19. 8220. 246 21. 2 22. 5 23. 3 24. 10 25. 4 26. 6 27. 20 28. 3029. 40 30. 11 31. 22 32. 100 33. 200 34. 300 35. 400 36. 421page 14 Number Patterns Whole Numbers Increasing & Decreasing. Write the missing number.1. 26 2. 19 3. 77 4. 7 5. 19 6. 55 7. 11 8. 9 9. 9 10. 1811. 19 12. 27 13. 39 14. 53 15. 48 16. 97 17. 59 18. 91 19. 53 20. 97page 15 Number Patterns Whole Numbers Increasing & Decreasing. Write the missing numbers.A. 1) 62, 71 2) 69, 87 3) 21, 37 4) 51, 72 5) 34, 52 6) 18, 39 7) 39, 55© Intelligent Australia Productions36

Smarten up in Maths (age 8-9)8) 20, 41 9) 15, 33 10) 26, 44 11) 62, 89 12) 52, 74 13) 48, 3614) 59, 51 15) 25, 7 16) 33, 9 17) 36, 22 18) 51, 39 19) 48, 40 20) 42, 24page 16 Numbers to 999 Reading & Writing Numbersteacher to checkpage 17 Numbers to 999 Ordering Smallest first; Largest first1) 187, 454, 543, 623 2) 179, 431, 444, 642 3) 178, 299, 403, 7954) 897, 799, 742, 677 5) 843, 750, 638, 631 6) 633, 602, 599, 1897) 902, 788, 659, 209page 18 Place Value Thousands, Hundreds, Tens & UnitsA. 1) tens 2) thousands 3) units 4) tens 5) hundreds 6) tens 7) units8) thousands 9) hundreds 10) tensB. 1) 100 2) 70 3) 8 4) 7 000 5) 70 6) 3 7) 800 8) 4 000 9) 9 000C. 1) 5 720 2) 9 147 3) 1 608 4) 4 898 5) 7 2576) 5 760page 19 Numbers to 9999 Ordering Smallest first; Largest first1. 5837 5987 6428 2. 3854 3871 4002 3. 1099 1108 11104. 5434 5399 5221 5. 9576 9567 9499 6. 8100 8020 80187. 2382 2379 2299page 20 Fractions Halves, Quarters & Eighthsteacher to checkpage 21 Fractions Halves, Quarters & Eighthsteacher to checkpage 22 Fractions Tenths & Hundredthsteacher to checkpage 23 Decimals Tenths & Hundredths Decimal & Fractional equivalenceteacher to checkpage 24 Fractions & Decimals Tenths & Hundredthsteacher to checkpage 25 Ordering Decimal & Fractional Quantities Tenths & Hundredths1. 0.4 8 / 10 0.9 2. 0.65 70 / 95 100 / 100 3. 1 / 10 0.2 3 / 104. 7 / 10 0.63 / 10 5. 0.95 85 / 75 100 / 100 6. 8 / 10 0.76 / 10© Intelligent Australia Productions37

Smarten up in Maths (age 8-9)page 26 Telling the Time Minutes to and past the hour: multiples of 5 minutes Writing times.12:20 6:55 4:10 9:40 6:25 12:50page 27 Telling the Time Minutes to and past the hour: multiples of 5 minutes Drawing hands.teacher to checkpage 28 Measuring with a Ruler Measuring lines to the nearest millimetrea. 61mm b. 109mm c. 95mm d. 16mm e. 159mm f. 35mm g. 119mmh. 100mm i. 96mm j. 25mm k. 69mm l. 188mm m. 108mmpage 29 Plane Shapes Naming and drawing shapes1. triangle 2. square 3. rectangle 4. pentagon 5. hexagonpage 30 Solid Shapes Name the shape and give a real-life example1. sphere (ball) 2. cylinder (tube or pipe) 3. cone (ice cream)4. pyramid (Egyptian tombs) 5. prism (house roof) 6. cube (child’s building blocks)page 31 Problem Solving Money1) $1.50 2) $9.00 3) $1.80 4) $5.25 5) $0:75 6) $64page 32 Problem Solving Measurement1) 8 2) 6 3) 142 4) a. 77kg b. 161kg 5) a. Johanna b. 2cm (20mm)page 33 Problem Solving Time1) 8:05am 2) 40 3) 90 4) 150 5) 4:50 6) 20minspage 34 Problem Solving Real-life Situations1) 44 2) 162 3) 186 4) 120 5) a. 38 b. 130 6) 72--------------------------------------------------------------© Intelligent Australia Productions38