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Reprinted in 2013 byProfessional Development Service for Teachers (PDST)Junior Certificate School ProgrammeBlackrock Education CentreKill AvenueDún LaoghaireCo. DublinPhone: 01 236 5000Fax: 01 236 5071Email: [email protected]: 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: [email protected]
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