Reprinted in 2013 by · arrow, following the computational instructions that are provided along the...

Reprinted in 2013 byProfessional Development Service for Teachers (PDST)Junior Certificate School ProgrammeBlackrock Education CentreKill AvenueDún LaoghaireCo. DublinPhone: 01 236 5000Fax: 01 236 5071Email: jcsp@pdst.ieWeb: www.jcsp.ie

Copyright © PDST and JCSP, 2013

The Professional Development Service for Teachers (PDST) is funded by the Teacher Education Section of the Department of Education and Skills under theNational Development Plan 2007 - 2013

The Junior Certificate School Programme Literacy and Numeracy Strategy and the Demonstration Library Project are funded by the Early Literacy Initiative and the Delivering Equality of Opportunity in Schools (DEIS) Action Plan within the Teacher Education Section of the Department of Education and Skills.

Written by: Jerry McCarthy, JCSP Associate and Denise O’ Flanagan, JCSP Advisor

Junior Certificate School Programme Support Service 2

Published in 2009 byJunior Certificate School Programme Support ServiceCurriculum Development UnitCaptains RoadCrumlinDublin 12Phone: 01 453 5487Fax: 01 4020435Email: jcsp@iol.ie

Copyright © Junior Certificate School Programme Support Service

The Junior Certificate School Programme Support Service is funded by the Teacher Education Section, Department of Education and Skills and the European Social Fund.

The Junior Certificate School Programme Literacy and Numeracy Strategy and the Demonstration Library Project are funded by the Early Literacy Initiative and the Delivering Equality of Opportunity in Schools (DEIS) Action Plan within the Teacher Education Section of the Department of Education and Skills.

The Junior Certificate School Programme is a national programme sponsored by the Department of Education and Skills and the National Council for Curriculum and Assessment.

The Support Service for the Junior Certificate School Programme is based in theCDVEC Curriculum Development UnitCaptains RoadCrumlinDublin 12

Written by Jerry McCarthy

National Development Plan

Transforming Ireland

Copyright PDST & JCSP

ARROW SUMS STUDENT WORKBOOK

Junior Certificate School Programme Support Service 3

Introduction

“Arrow Sums, Student Workbook 1” contains a suite of forty arithmetical challenges. In each “Arrow Sum”, the student is provided with a gateway number and he /she has to work his / her way from the base to the tip of the arrow, following the computational instructions that are provided along the way, to discover the missing answer at the tip of the arrow.

Each “Arrow Sum” activity can be planned and implemented as a timed-activity where each participating student is given 40 seconds to complete the challenge. This time-frame can be extended or reduced to cater for the ability level and work-rate of the individual student.

These number challenges can be planned and implemented to incorporate a combination of mental activity and written activity. Alternatively, the challenges can be organised as activities involving the use of a calculator. A shorter time-frame may be allocated to a student who employs a calculator to perform all the calculations.

These timed number challenges are based on the following numerical concepts, skills and competencies:

• whole number computation (addition, subtraction, multiplication, division)

• computation involving fractions • computation involving decimals• computation involving percentages.

“Arrow Sums” are an exciting way to revise, practise and consolidate importantcomputational skills and to enhance numerical understanding in important conceptual domains.

Each “Arrow Sum” challenge can be implemented as an individual activity, where each student works independently. The number challenges can also be operated as collaborative assignments where two (or more) students work together to solve the puzzles.

Solutions to the number puzzles are provided in the appendix section (beginning on page 44).

Junior Certificate School Programme Support Service 4

My Answer:

Gateway Number: 5

Double it

Double it

Take away 4

Add 3

Get 50% of this number

Q1

Junior Certificate School Programme Support Service 5

My Answer:

Gateway Number: 6

Times 2

Treble it

Add 10

Add 9

Take away 16

Q2

Junior Certificate School Programme Support Service 6

My Answer:

Gateway Number: 7

Times 3

Double it

Take away 5

Add 11

Get 50% of this number

Q3

Junior Certificate School Programme Support Service 7

My Answer:

Gateway Number: 8

Times 3

Treble it

Take away 3

Add 17

Double it

Q4

Junior Certificate School Programme Support Service 8

My Answer:

Gateway Number: 11

Times 5

Double it

Take away 10

Add 8

Get 50% of this number

Q5

Junior Certificate School Programme Support Service 9

My Answer:

Gateway Number: 9

Times 2

Treble it

Take away 3

Add 11

Double it

Q6

Junior Certificate School Programme Support Service 10

My Answer:

Gateway Number: 12

Times 5

Double it

Take away 13

Add 5

Get 50% of this number

Q7

Junior Certificate School Programme Support Service 11

My Answer:

Gateway Number: 13

Times 3

Treble it

Take away 16

Add 4

Double it

Q8

Junior Certificate School Programme Support Service 12

My Answer:

Gateway Number: 19

Times 6

Double it

Take away 19

Add 9

Double it

Q9

My Answer:

Gateway Number: 16

Times 4

Double it

Take away 22

Add 10

Get 50% of this number

Q10

Junior Certificate School Programme Support Service 14

My Answer:

Gateway Number: 22

Times 8

Times 3

Halve this number

Take away 4

Divide by 4

Q11

Junior Certificate School Programme Support Service 15

My Answer:

Gateway Number: 17

Times 5

Double it

Add 9

Get 25% of this number

Q12 Add 5

Junior Certificate School Programme Support Service 16

My Answer:

Gateway Number: 25

Times 6

Times 4

Halve this number

Take away 5

Divide by 3

Q13

Junior Certificate School Programme Support Service 17

My Answer:

Gateway Number: 24

Times 5

Double it

Double it

Add 5

Get 20% of this number

Q14

Junior Certificate School Programme Support Service 18

My Answer:

Gateway Number: 35

Times 5

Times 5

Halve this number

Take away 7

Divide by 3

Q15

Junior Certificate School Programme Support Service 19

My Answer:

Gateway Number: 19

Times 5

Times 2

Add 11

Take away 11

Get 50% of this number

Q16

Junior Certificate School Programme Support Service 20

My Answer:

Gateway Number: 16

Times 5

Double it

Double it

Take away 7

Divide by 25

Q17

Junior Certificate School Programme Support Service 21

My Answer:

Gateway Number: 23

Times 5

Times 5

Halve this number

Add 9

Get 20% of this number

Q18

Junior Certificate School Programme Support Service 22

My Answer:

Gateway Number: 34

Times 5

Double it

Add double 6

Take away 8

Divide by 6

Q19

Junior Certificate School Programme Support Service 23

My Answer:

Gateway Number: 33

Times 5

Times 6

Add double 5

Add 15

Get 1/5 of this number

Q20

Junior Certificate School Programme Support Service 24

My Answer:

Gateway Number: 8

Reverse the digits

Double it

Subtract from 100

Times 6

Get 200% of this number

Q21

Junior Certificate School Programme Support Service 25

My Answer:

Gateway Number: 26

Times 5

Double it

Add double 7

Take away 8

Get 150% of this number

Q22

Junior Certificate School Programme Support Service 26

My Answer:

Gateway Number: 14

Times 5

Double it

Subtract from 500

Reverse the digits

Get ·5 of this number

Q23

Junior Certificate School Programme Support Service 27

My Answer:

Gateway Number: 12

Times 5

Double it

Add double 9

Take away 8

Get 50% of this number

Q24

Junior Certificate School Programme Support Service 28

My Answer:

Gateway Number: 21

Reverse the digits

Times 3

Subtract from 200

Add 19

Get ·5 of this number

Q25

Junior Certificate School Programme Support Service 29

My Answer:

Gateway Number: 11

Take away 11

Double it

Add treble 7

Times 3

Get 150% of this number

Q26

Junior Certificate School Programme Support Service 30

My Answer:

Gateway Number: 23

Times 5

Times 4

Subtract from 180

Reverse the digits

Get 2/5 of this number

Q27

Junior Certificate School Programme Support Service 31

My Answer:

Gateway Number: 35

Take away 15

Double it

Add double 25

Times 3

Get 20% of this number

Q28

Junior Certificate School Programme Support Service 32

My Answer:

Gateway Number: 22

Add double 10

Double it

Subtract from 164

Times 3

Get ·75 of this number

Q29

Junior Certificate School Programme Support Service 33

My Answer:

Gateway Number: 19

Times 7

Double it

Add double 4·5

Subtract from 201

Get 10% of this number

Q30

Junior Certificate School Programme Support Service 34

My Answer:

Gateway Number: 32

Times 9

Times 5

Get 1/3 of this number

Add double 5·5

Take away 13

Q31

Junior Certificate School Programme Support Service 35

My Answer:

Gateway Number: 16

Times 4

Treble it

Get 25% of this number

Subtract from 500

Double it

Q32

Junior Certificate School Programme Support Service 36

My Answer:

Gateway Number: 18

Times 8

Times 7

Get 75% of this number

Take double 9·5

Times 5

Q33

Junior Certificate School Programme Support Service 37

My Answer:

Gateway Number: 42

Times 6

Double it

Get 3/4 of this number

Subtract from 288

Take away 6 times 4

Q34

Junior Certificate School Programme Support Service 38

My Answer:

Gateway Number: 33

Times 2

Times 11

Get 10% of this number

Add double 8·5

Times 12

Q35

Junior Certificate School Programme Support Service 39

My Answer:

Gateway Number: 27

Times 5

Double it

Get 20% of this number

Subtract from 175

Take away 8 times 9

Q36

Junior Certificate School Programme Support Service 40

My Answer:

Gateway Number: 42

Times 6

Times 8

Get 4/3 of this number

Take double 9·5

Double it

Q37

Junior Certificate School Programme Support Service 41

My Answer:

Gateway Number: 19

Times 9

Times 9

Get 2/3 of this number

Subtract from 199

Get 50% of this number

Q38

Junior Certificate School Programme Support Service 42

My Answer:

Gateway Number: 45

Times 4

Double it

Get 50% of this number

Add double 15

Times 6

Q39

Junior Certificate School Programme Support Service 43

My Answer:

Gateway Number: 55

Times 10

Times 11

Get 125% of this number

Subtract from 643

Get 1/5 of this number

Q40

Question Number AnswerQ1 11Q2 48Q3 35Q4 240Q5 70Q6 146Q7 66Q8 226Q9 526Q10 73Q11 62Q12 51Q13 95Q14 106Q15 140Q16 73Q17 10Q18 62Q19 52Q20 215Q21 62Q22 351Q23 45Q24 49Q25 86Q26 114Q27 14Q28 49Q29 9Q30 115Q31 500Q32 904Q33 3210Q34 894Q35 912Q36 49Q37 5072

Answers to Arrow Sums

Junior Certificate School Programme Support Service 45

Q38 84Q39 1440Q40 95