Get Ready for Problem Solving

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    Publisher JAYS' EDUCATION704 Old Cleveland Rd EastWellington Point Queensland 4160phone 07 3822 [email protected]

    GETREADYFORPROBLEMSOLVING

    Author Hana Jay

    Cover design Dana Sundgren

    Illustrations Dana Sundgren

    Computer compilation Tom Jay

    1stedition (July 2010)

    Jays Education

    ISBN 978-1-921622-31-1

    Reproduction and communication for educational purposesThe Copyright Act 1968allows a maximum one chapter or 10% of the pages of this work,whichever is the greater, to be reproduced etc. by an educational institution for its ownpurposes, provided that the institution has given a notice to CAL Australia (in othercountries to the national Copyright Agency).

    However the publisher is here with granting the right to reproduce 100% of this book tothe original purchaserfor classroom or personal use. Commercial use is prohibited.

    Electronic copying, storage or transmission is permitted only for the use of the originalpurchaser. The pdf file must be left intact and in the original format and content.

    Jays' Education is reserved and must be kept displayed on each sheet copied.

    CAL Copyright Agency LimitedLevel 15233 Castlereagh StreetSydney 2000Phone 02 9394 7600 Fax 02 9394 [email protected]

    Reproduction and communication for other purposesExcept as permitted by the Copyright Act 1968 (for example a fair dealing for the purposesof study, research, criticism or review) no part of this book may be reproduced, stored in a

    retrieval system, communicated or transmitted in any form or by any means without priorwritten permission. Direct all inquiries to the publisher, see address at the top of this page.

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    II Getting Ready for Problem Solving Jays Education

    CONTENTCONTENTCONTENTCONTENTSSSSContentsContentsContentsContents

    IntroductionIntroductionIntroductionIntroduction

    Mini LUK Self Checking SystemMini LUK Self Checking SystemMini LUK Self Checking SystemMini LUK Self Checking System

    Progress ChartProgress ChartProgress ChartProgress Chart

    Addition activities expressed in wordsAddition activities expressed in wordsAddition activities expressed in wordsAddition activities expressed in wordsHow many altogether? ...three boys and two girls

    What is the total of ...three plus four

    How many do you have...? ...four and two make

    What is the... ...total of eight and four

    How many are... ...two more than five

    What is the... ...sum of four and three

    What do you get if you ...increase eight by three

    How big if you... ...enlarge nine by three

    How many if you... ...double three

    What is the total of... ...three and three and one

    Subtraction activities expressed in wordsSubtraction activities expressed in wordsSubtraction activities expressed in wordsSubtraction activities expressed in words

    What is left? ...from five take four

    What do get if you... ...take three from five

    What will you get if you... ...subtract two from seven

    What are the answers? ...six minus three

    Find the... ...difference between 2 and 9

    Find the answers... ...three less than seven

    What is left if you... ...decrease four by three

    How much more is... ...eleven than five

    Mixed activities... ...decrease or increase by...

    Mixed addition and mixed subtraction problems

    Multiplication activities expressed in wordsMultiplication activities expressed in wordsMultiplication activities expressed in wordsMultiplication activities expressed in words

    What is the product of... ...times three

    What is the... product of 1 and 3

    How many in... ...groups of 4

    Work out how many. lots of or times or double...

    Find the products. times... or groups of... or double...

    How many will you get? - all mixed -

    Division activitiesDivision activitiesDivision activitiesDivision activities

    What is... ...half of eighteen

    What will you have if... ...you divide ten by two

    What is... ...the quotient of six and three

    Divide... ...eight sticks among four childrenShare your... ...twelve jellybeans with dad and mum

    Mixed division problems

    IIIIIIIIIIII

    IVIVIVIV

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    IIIGetting Ready for Problem Solving Jays Education

    INTRODUCTION

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    () 12 , 12 . 12 .

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    2. ().

    3. 1 1. . . . . 1 2+2= 4 1 4. 2 2 . 2 4+3=7, 2 7. 12

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    IV Getting Ready for Problem Solving Jays Education

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    Page Pattern Date Page Pattern

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    Date Page

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    Pattern Date

    Progress Chart Students name: ....................................................................

    VGetting Ready for Problem Solving Jays Education

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    three boys and two girls

    a doctor

    eight runners and two swimmers

    one man and five boys

    two babies and two children

    a mother and a child

    nine football players andthree soccer players

    two teachers and five swimmers

    six men and three women

    five boys and six girls

    mother, father and a baby

    two boys, two girls, four babies

    1

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    How many altogether?

    1 Getting Ready for Problem Solving Jays Education

    Add (plus) the people and write the total number in the box.

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    three plus four

    two plus three

    one plus two

    one plus one

    five plus five

    six plus six

    five plus three

    five plus six

    two plus two

    one plus zero

    five plus four

    four plus two

    What is the total of ......... ?

    2Getting Ready for Problem Solving Jays Education

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    Plus (add) the two numbers and write the total number in the box.

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    three and two make

    zero and one make

    two and two make

    four and two make

    five and five make

    one and one make

    six and six make

    four and three make

    two and one make

    five and six make

    five and four make

    four and four make

    How many do you have ....... ?

    3 Getting Ready for Problem Solving

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    Add the two numbers and write the total number (the sum) in the box.

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    What is the ......... ?

    4Getting Ready for Problem Solving Jays Education

    total of two and one

    total of eight and four

    total of five and two

    total of three and one

    total of zero and one

    total of ten and one

    total of six and four

    total of four and two

    total of three and five

    total of six and three

    total of one and one

    total of three and two

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    Add (plus) the two numbers and write the total (number) in the box.

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    two more than five

    two more than three

    two more than eight

    one more than one

    one more than three

    four more than eight

    three more than five

    three more than eight

    two more than seven

    one more than zero

    one more than two

    two more than four

    How many are ....... ?

    5 Getting Ready for Problem Solving Jays Education

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    Add (plus) the two numbers and write the total number in the box.

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    sum of one and two

    sum of two and three

    sum of one and one

    sum of three and one

    sum of four and three

    sum of three and three

    sum of five and four

    sum of eight and four

    sum of zero and one

    sum of seven and three

    sum of six and two

    sum of six and five

    What is the ........ ?

    6Getting Ready for Problem Solving Jays Education

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    Add (plus) the two numbers and write the total (sum) in the box.

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    What do you get if you ........ ?

    7 Getting Ready for Problem Solving Jays Education

    increase eight by three.

    increase four by three.

    increase six by four.

    increase eight by four.

    increase one by three.

    increase five by three.

    increase four by two.

    increase zero by one.

    increase six by three.

    increase three by two.

    increase one by two.

    increase one by one.

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    Increase means add. Add (plus) the two numbers and write the new increased number in the box.

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    How big if you ...... ?

    8Getting Ready for Problem Solving Jays Education

    enlarge three by two

    enlarge three by one

    enlarge one by one

    enlarge three by three

    enlarge five by three

    enlarge one by two

    enlarge nine by three

    enlarge six by three

    enlarge zero by one

    enlarge eight by three

    enlarge five by two

    enlarge seven by three

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    Enlarge means add. Add the two numbers and write the new enlarged number in the box.

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    How many if you ......... ?

    9 Getting Ready for Problem Solving Jays Education

    double two plus one

    double zero plus one

    double six

    double five

    double three

    double four

    double two

    double three plus one

    double two plus one

    double four plus one

    double five plus one

    double one

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    To double a number multiply the number by 2 or add the two same numbers (twins)e.g. double six means 6 + 6.

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    five and five and one

    three and three and one

    two and two

    six and six

    five and five

    four and four

    three and three

    zero and one

    one and one and one

    two and two and one

    four and four and one

    one and one

    What is the total of ...... ?

    10Getting Ready for Problem Solving Jays Education

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    Add (plus) the numbers and write the total in the box.

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    What is left?

    11 Getting Ready for Problem Solving Jays Education

    From five take three.

    From twelve take two.

    From eight take three.

    From four take three.

    From fourteen take two.

    From twelve take three.

    From eleven take three.

    From six take two.

    From ten take four.

    From nine take two.

    From twelve take one.

    From six take three.

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    Take the second number from the first number.Count back e. g. 12 - 2 12 11 10 | 10 - 4 10 9 8 7 6

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    What do you get if you ........ ?

    12Getting Ready for Problem Solving Jays Education

    take three from five

    take two from six

    take two from seven

    take three from four

    take two from fourteen

    take three from six

    take four from twelve

    take one from ten

    take four from ten

    take two from nine

    take one from twelve

    take three from thirteen

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    Take the first number from the number after the word from,e. g. 1 5 - 3 | 2 6 - 2

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    What will you get if you ....... ?

    13 Getting Ready for Problem Solving

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    subtract two from seven

    subtract three from ten

    subtract two from six

    subtract two from fourteen

    subtract two from twelve

    subtract three from five

    subtract three from nine

    subtract two from three

    subtract three from six

    subtract one from twelve

    subtract three from twelve

    subtract three from eleven

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    Take the first number from the number after the word from,e.g. 1 7 - 2 | 2 10 - 3

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    six minus three

    four minus three

    fourteen minus two

    twelve minus two

    ten minus four

    twelve minus four

    seven minus three

    ten minus three

    eight minus three

    eleven minus two

    twelve minus one

    five minus three

    What are the answers?

    14Getting Ready for Problem Solving Jays Education

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    Take the second number from the first number.

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    Find the difference...

    15 Getting Ready for Problem Solving

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    between 2 and 10

    between 2 and 14

    between 2 and 11

    between 2 and 9

    between 2 and 5

    between 2 and 13

    between 2 and 3

    between 2 and 8

    between 2 and 12

    between 2 and 4

    between 2 and 6

    between 2 and 7

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    Difference means take. Take the smaller number from the bigger number.

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    between 3 and 13

    between 3 and 5

    between 3 and 8

    between 3 and 12

    between 3 and 14

    between 3 and 10

    between 3 and 6

    between 3 and 11

    between 3 and 15

    between 3 and 7

    between 3 and 9

    between 3 and 4

    Find the difference...

    16Getting Ready for Problem Solving Jays Education

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    Difference means take. Take the smaller number from the bigger number.

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    three less than seven

    four less than five

    four less than ten

    five less than eight

    three less than fifteen

    five less than seven

    two less than twelve

    three less than ten

    three less than eight

    two less than eleven

    three less than fourteen

    four less than twelve

    Find the answers.

    17 Getting Ready for Problem Solving Jays Education

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    Less means take. Take the first number from the second number.

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    decrease four by three

    decrease fourteen by three

    decrease seven by three

    decrease ten by two

    decrease twelve by two

    decrease nine by three

    decrease six by four

    decrease eight by three

    decrease six by three

    decrease eleven by four

    decrease twelve by three

    decrease fourteen by two

    What is left if you ........ ?

    18Getting Ready for Problem Solving Jays Education

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    Decrease means take. Take the second number from the first number.

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    eleven than five

    twelve than three

    five than four

    seven than two

    eleven than three

    twelve than two

    fourteen than two

    ten than seven

    five than three

    thirteen than two

    ten than three

    seven than three

    How much more is ........ ?

    19 Getting Ready for Problem Solving Jays Education

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    How much more is than means to take the smaller number from the larger number.

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    fourteen than three

    ten than three

    twelve than eight

    fifteen than three

    twelve than three

    ten than two

    eleven than five

    five than four

    nine than six

    eight than three

    fifteen than five

    six than four

    How much larger is ....... ?

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    How much larger is than means to take the smaller number from the larger number.

    Getting Ready for Problem Solving

    Jays Education

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    decrease twelve by three.

    increase eight by four.

    increase four by three.

    increase seven by three.

    decrease four by three.

    increase seven by four.

    increase one by three.

    increase three by three.

    decrease twelve by four.

    decrease six by three.

    decrease seven by five.

    increase one by four.

    What do you get if you ..... ?

    21 Getting Ready for Problem Solving

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    Increase means to add (plus), decrease means to take the smaller number from the larger number.

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    three plus four

    five and six

    seven minus four

    take three from eleven

    seven plus three

    the total of seven and five

    subtract four from six

    from nine take four

    take four from eight

    take three from four

    add four and five

    twelve minus six

    What are the answers?

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    Take notice, there are 5 addition (plus) problems and 7 subtraction (take) problems.

    Getting Ready for Problem Solving

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    Find the answers.

    23 Getting Ready for Problem Solving

    Jays Education

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    Notice, that there are 9 addition problems and 3 subtraction problems.Double five means 5 + 5, double three means 3 + 3.

    the total of six and three

    increase two by three

    decrease six by four

    double five

    double four

    double three

    double two

    increase seven by four

    the difference between four and three

    subtract three from six

    add four and three

    increase eight by four

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    two times one

    three times three

    five times one

    one time one

    four times three

    two times five

    four times two

    three times one

    two times three

    seven times one

    eleven times one

    two times two

    What is the product of ........ ?

    24Getting Ready for Problem Solving

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    Product or times means to skip count in multiples of 2, 3, 4 etc.4 x 2 2 4 6 8 | 4 x 3 3 6 9 12

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    product of 2 and 5

    product of 1 and 1

    product of 2 and 3

    product of 3 and 3

    product of 2 and 6

    product of 2 and 4

    product of 1 and 3

    product of 1 and 7

    product of 11 and 1

    product of 2 and 2

    product of 1 and 5

    product of 1 and 2

    What is the ........ ?

    25 Getting Ready for Problem Solving

    Jays Education

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    Product means times, skip count in multiples of 2 or 3.

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    eleven groups of 1

    one group of 7

    two groups of 5

    three groups of 4

    two groups of 2

    two groups of 4

    three groups of 2

    one group of 1

    three groups of 3

    one group of 5

    three groups of 1

    two groups of 1

    How many in ........ ?

    26Getting Ready for Problem Solving Jays Education

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    Groups of, means times (or lots of). 2 groups of 5 5 5

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    double five

    one time one

    the product of two and three

    three lots of threes

    double six

    two times one

    three times one

    double three plus one

    double two plus one

    double two

    two fives plus one

    double four

    Work out how many.

    27 Getting Ready for Problem Solving Jays Education

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    Double means count in 2s. Two fives means 5 and another 5. 5 5Product means times.

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    three times three

    seven ones

    the product of four and three

    five groups of two

    two groups of three

    two ones

    two lots of two

    one time one

    five groups of one

    three times one

    double five plus one

    four lots of two

    Find the products.

    28Getting Ready for Problem Solving Jays Education

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    It is a test. can you solve the problems?

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    take one from six lots of two

    take one from double four

    double two

    the product of two and three

    two groups of five

    two groups of one

    multiply four by three

    one time one

    three groups of three

    take one from double three

    three times one

    the product of four and two

    How many will you get?

    29 Getting Ready for Problem Solving Jays Education

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    1 Take one from six lots of two - first work out the lots of and then take one from the answer.

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    half of eight

    half of twelve

    half of two

    half of six

    half of fourteen

    half of ten

    half of eighteen

    half of twenty-four

    half of four

    half of twenty

    half of sixteen

    half of twenty-two

    What is ........?

    30Getting Ready for Problem Solving Jays Education

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    Half means divide the number by 2.

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    divide six by two

    divide ten by two

    divide four by two

    divide eight by two

    divide fourteen by two

    divide twelve by two

    divide twenty by two

    divide twenty-four by two

    divide two by two

    divide eighteen by two

    divide sixteen by two

    divide twenty-two by two

    What will you have if you ........ ?

    31 Getting Ready for Problem Solving Jays Education

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    Hint:Count by 2s; e. g. divide 12 by 2 = 6, count: 2, 4, 6, 8, 10, 121 2 3 4 5 6

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    quotient of 6 and 3

    quotient of 24 and 2

    quotient of 18 and 2

    quotient of 21 and 3

    quotient of 15 and 5

    quotient 10 and 2

    quotient of 6 and 6

    quotient of 18 and 3

    quotient 20 and 2

    quotient of 24 and 3

    quotient of 12 and 3

    quotient of 44 and 4

    What is the quotient of ........ ?

    32Getting Ready for Problem Solving Jays Education

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    Divide 8 sticks among 4 children.Each will have...

    Divide 18 smarties among 3 children.Each will have...

    Divide 16 jellybeans among 4 boys.Each will have...

    Divide 3 cupcakes among 3 people.Each will have...

    Divide $40 between 4 people evenly.Each will have...

    Divide 20 minties among 4 girls.Each will have...

    Divide 14 lollies between 2 children.Each will have...

    Divide $24 between 2 people.Each will have...

    Divide 12 snakes among 4 boys.Each will have...

    Divide 16 stickers between 2.Each will have...

    Divide $18 between 2 people.

    Each will have...

    Divide $33 among 3 people.Each will have...

    Would you, please ........ ?

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    your 24 smarties with a friend

    your 16 cookies with me

    your 20 crayons with me

    your 22 stickers with me

    your 12 jellybeans with dadand mum

    your 14 shells with your dad

    your 15 stamps with your 2 friends

    your 6 cookies with your mum

    and dad

    your 18 cars with your Peter

    your 12 cards with me

    your 9 tokens with your 2 friends

    your 3 cakes with mum and dad

    Please, share ........ ?

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    Dont forget to include yourself in the number of people sharing the items.

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    How many pairs in 24?

    Half of 16

    How many threes in 12?

    of 22

    How many fives in 50?

    Half of 14

    3 children share 15 apples.Each receives?

    Quotient of 14 and 7

    Divide 12 by 4

    Half of 12 hours

    Share 18 oranges between

    2 children, each receives

    2 shoes make how many pairs?

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    Work out the problems.

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    All problems are divisions.Hint:Count the multiples that make up the number that is being divided.

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    $50 10 =

    Half of 2

    Difference between 12 and 8

    2 lots of 3

    Quotient of 50 and 5

    4 shoes make how many pairs?

    How many shoes make 6 pairs?

    How many days in one week?

    Difference between 9 and 6

    Half of 22

    Three groups of three

    The product of 4 and 2

    Solve the problems.

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    What is the difference between 8 and 5?

    Out of 6 tadpoles 5 turned into frogs.How many tadpoles are left?

    What is the product of 6 and 2?

    2 lollies at 5c each would cost...

    Tim walks 3 km to school and back.How many km does he walk each day?

    How many shoes in 4 pairs?

    Jim ate half of his 8 apples.How many apples are left?

    Only half of 14 children came.

    How many stayed home?

    Share 15 jellybeans among 3 children.

    There are three groups of 3 swimmers.How many are swimming?

    What is the total of 3, 6 and 2?

    Half of four eggs hatched.How many chicks do you have?

    Solve the problems.

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    Peter sold 2 of his 5 puppies.How many are left?

    Half of 22 boys play soccer.How many do not play?

    Jim had 16 stickers, he gave half away.How many does he still have?

    Anna has two sets of twins.How many children does she have?

    Tom had $10, he bought a book for $8.How much has he now?

    Bob bought a dozen eggs.How many eggs does he have.

    Gina has two $5 dollar notes.She has $.......

    Share your 15 cards with 3 friends.

    Each has ... cards.

    14 birds, 7 flew away.There are ... birds left.

    Three lots of 3 make...

    6 eggs, 5 cracked.

    there are ... eggs left.

    Jenny sold half of her 12 lamingtons.How many are left?

    Solve the problems.

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    Jane had 10 chickens. She sold 7.How many are left?

    We made three lots of 4 cup cakes.How many is this?

    Give me half of your 14 fish and youwill have ... left.

    Divide 12 cupcakes among 3 children,each will have...

    There were 6 seagulls and then 5 flewaway. How many stayed?

    Half of 22 children went camping.How many did not go?

    3 sets of triplets = ... children

    3 groups of 2 helped at a show.

    How many helpers were there?

    We ordered 4 pizzas, but we haveto double the number...

    Half of 20 apples are rotten,how many are good?

    Divide 8 marshmallows among 4

    children. Each will have...

    Decrease 11 by 6.

    Solve the problems.

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    Resources fromJays Education Reproducible Books or pr intable CDs and Downloads

    Numeracy

    Basic Number Concepts

    Count and Write

    Find the Missing Number

    Starting to Add

    Mental Computation Addition to 10

    Subtraction Concept of 10

    The Concept of 20

    Money in CoinsThe Concept of Money - Coins

    Tens and Ones - Focus on Money

    What Time Is It?

    Let's Practice Subtractions

    Multiples of 2 & 20

    Concept of 100 Multiples of 10 & 5

    Multiply 2, 3, 4, 5

    Fractions 2

    Fractions 3

    Fractions 4

    All about Angles "A"

    All about Angles "B"

    Angles in Triangles

    Simple Steps to Algebra

    The Four Operations

    J a y s J a y s J a y s J a y s EducationEducationEducationEducationPhone/Fax: 07 3822 1813Phone/Fax: 07 3822 1813Phone/Fax: 07 3822 1813Phone/Fax: 07 3822 1813

    Email:Email:Email:Email: [email protected]@[email protected]@jayseducation.comwww.jayseducation.comwww.jayseducation.comwww.jayseducation.comwww.jayseducation.com

    Visual Literacy

    Basic Pencil Skills

    More Pencil Skills

    Reading Readiness

    Drawing Workshop -Learn to Draw in Few Steps

    LUK Self Checking Program

    Addition level 1

    Addition level 2

    Subtraction level 1

    Subtraction level 2

    Multiplication level 1

    Multiplication level 2

    DIVISION Halves and Quarters

    Get Ready for Problem Solving

    Concept of Money

    Fractions

    Reading & Spelling Essentials

    Reading and Spelling Single Words

    Literacy

    Reading Readiness

    Teaching Reading

    Let's Start Read and Write

    Using Phonics

    Read About Write About Dotty

    Read About Write About Spotty

    Adventures with Dotty and Spotty

    Magic eSounds are Simple

    Spell Well to Excel 1