SlideShare a Scribd company logo
Real Mathematics: Shapes Assessment
Name: ……………………………………………….
1.
a) Show on the diagram why the area of any square or rectangle can be found using
the formula:
Use the space below the diagram to write any comments which will help people
understand.

…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
b) Use your knowledge of area to find the missing length of the rectangle (on the
left) and the missing length of the square (on the right). Please show your
working out.

h = …………………. cm
x = ………………….. cm
2. Find the area and perimeter of the shape below:

Area = ………………………………. cm²
Perimeter = ……………………………….. cm
3.
a) Can you explain, using a diagram or writing or both, why the area of any triangle
can be found using the formula:

…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
b) Use the space below to make two different triangles which have an area of
12 cm². You DO NOT have to draw these shapes with a ruler.
4.
a) The formula for the area of a parallelogram is:

Explain why we use the perpendicular height and NOT the slanted height.
You can show this using the diagram or by writing or both.

…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........

b) Find the area of the parallelograms below:
Parallelogram 1

Parallelogram 2

Area of Parallelogram 1: ……………………………… cm²
Area of Parallelogram 2: ……………………………… cm²
5.
a) Circle all of the trapezia below.

b) Explain how the picture below helps to show that the formula for the area of a
trapezium is:

…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
…………………………………………………………………………………………………………………………….........
………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………….........
………………………………………………………………………………………………………………………………….
6.
a) Show three different ways that you could split up the hexagon to find its area.

b) By measuring any necessary parts of the hexagon, find itsarea in millimetres
squared (mm²).
Area of Hexagon = ………………………………mm²

More Related Content

Similar to Grade 6 shapes assessment

95763406 atoll-3-1-0-user-manual-lte
95763406 atoll-3-1-0-user-manual-lte95763406 atoll-3-1-0-user-manual-lte
95763406 atoll-3-1-0-user-manual-lte
arif budiman
 
Meen 442 Journal Final Pdf V2
Meen 442 Journal Final Pdf V2Meen 442 Journal Final Pdf V2
Meen 442 Journal Final Pdf V2
halfmann4
 
Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...
Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...
Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...
AmeryWalters
 
Fusegrade_FinalReport
Fusegrade_FinalReportFusegrade_FinalReport
Fusegrade_FinalReport
Dylan Moore
 
09a 5 mm1f_methods_unit_1f_-_november_2012
09a 5 mm1f_methods_unit_1f_-_november_201209a 5 mm1f_methods_unit_1f_-_november_2012
09a 5 mm1f_methods_unit_1f_-_november_2012
claire meadows-smith
 
Table
TableTable
intelligent Chess game
intelligent Chess gameintelligent Chess game
intelligent Chess game
MirOmranudinAbhar
 
Statement of intent archie blackburn
Statement of intent  archie blackburnStatement of intent  archie blackburn
Statement of intent archie blackburn
JohnSmith5494
 
Final Design Report
Final Design ReportFinal Design Report
Final Design Report
Jason Ro
 
La texsymbols a4
La texsymbols a4La texsymbols a4
La texsymbols a4
Mansoor Fayyaz
 
Sage Intelligence 101 Microsoft® Excel® tips and tricks
Sage Intelligence 101 Microsoft® Excel® tips and tricksSage Intelligence 101 Microsoft® Excel® tips and tricks
Sage Intelligence 101 Microsoft® Excel® tips and tricks
BurCom Consulting Ltd.
 
A Pcr 300 500 800 Om
A Pcr 300 500 800 OmA Pcr 300 500 800 Om
A Pcr 300 500 800 Om
guest261633
 
Midterm revision 2022 without answer.pdf
Midterm revision 2022  without answer.pdfMidterm revision 2022  without answer.pdf
Midterm revision 2022 without answer.pdf
AhmedSalah48055
 
A Pcr 300 500 800 Om
A Pcr 300 500 800 OmA Pcr 300 500 800 Om
A Pcr 300 500 800 Om
guest261633
 
Manual cs it
Manual cs itManual cs it
Manual cs it
zain Ul abadin
 
Chapter 2-beginning-spatial-with-sql-server-2008-pt-i
Chapter 2-beginning-spatial-with-sql-server-2008-pt-iChapter 2-beginning-spatial-with-sql-server-2008-pt-i
Chapter 2-beginning-spatial-with-sql-server-2008-pt-i
Juber Palomino Campos
 
Worksheet2
Worksheet2Worksheet2
Worksheet2
Biscette InfoTech
 
FINAL PROJECT
FINAL PROJECTFINAL PROJECT
FINAL PROJECT
Matthew Hensley
 
Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...
Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...
Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...
Marvelous Echeng
 
WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...
WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...
WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...
iasaglobal
 

Similar to Grade 6 shapes assessment (20)

95763406 atoll-3-1-0-user-manual-lte
95763406 atoll-3-1-0-user-manual-lte95763406 atoll-3-1-0-user-manual-lte
95763406 atoll-3-1-0-user-manual-lte
 
Meen 442 Journal Final Pdf V2
Meen 442 Journal Final Pdf V2Meen 442 Journal Final Pdf V2
Meen 442 Journal Final Pdf V2
 
Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...
Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...
Introduction to MATLAB Programming and Numerical Methods for Engineers 1st Ed...
 
Fusegrade_FinalReport
Fusegrade_FinalReportFusegrade_FinalReport
Fusegrade_FinalReport
 
09a 5 mm1f_methods_unit_1f_-_november_2012
09a 5 mm1f_methods_unit_1f_-_november_201209a 5 mm1f_methods_unit_1f_-_november_2012
09a 5 mm1f_methods_unit_1f_-_november_2012
 
Table
TableTable
Table
 
intelligent Chess game
intelligent Chess gameintelligent Chess game
intelligent Chess game
 
Statement of intent archie blackburn
Statement of intent  archie blackburnStatement of intent  archie blackburn
Statement of intent archie blackburn
 
Final Design Report
Final Design ReportFinal Design Report
Final Design Report
 
La texsymbols a4
La texsymbols a4La texsymbols a4
La texsymbols a4
 
Sage Intelligence 101 Microsoft® Excel® tips and tricks
Sage Intelligence 101 Microsoft® Excel® tips and tricksSage Intelligence 101 Microsoft® Excel® tips and tricks
Sage Intelligence 101 Microsoft® Excel® tips and tricks
 
A Pcr 300 500 800 Om
A Pcr 300 500 800 OmA Pcr 300 500 800 Om
A Pcr 300 500 800 Om
 
Midterm revision 2022 without answer.pdf
Midterm revision 2022  without answer.pdfMidterm revision 2022  without answer.pdf
Midterm revision 2022 without answer.pdf
 
A Pcr 300 500 800 Om
A Pcr 300 500 800 OmA Pcr 300 500 800 Om
A Pcr 300 500 800 Om
 
Manual cs it
Manual cs itManual cs it
Manual cs it
 
Chapter 2-beginning-spatial-with-sql-server-2008-pt-i
Chapter 2-beginning-spatial-with-sql-server-2008-pt-iChapter 2-beginning-spatial-with-sql-server-2008-pt-i
Chapter 2-beginning-spatial-with-sql-server-2008-pt-i
 
Worksheet2
Worksheet2Worksheet2
Worksheet2
 
FINAL PROJECT
FINAL PROJECTFINAL PROJECT
FINAL PROJECT
 
Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...
Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...
Professional Report For Evaluation of Streets in Trinity Groves of West Dalla...
 
WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...
WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...
WHAT CONSTITUTES AN AGILE ORGANIZATION? ? DESCRIPTIVE RESULTS OF AN EMPIRICAL...
 

More from DanielPearcy

Geogebra Pedagogy
Geogebra PedagogyGeogebra Pedagogy
Geogebra Pedagogy
DanielPearcy
 
Prime factor dec and hcf and lcm
Prime factor dec and hcf and lcmPrime factor dec and hcf and lcm
Prime factor dec and hcf and lcm
DanielPearcy
 
Prime factor dec and hcf and lcm
Prime factor dec and hcf and lcmPrime factor dec and hcf and lcm
Prime factor dec and hcf and lcm
DanielPearcy
 
Stars investigation
Stars investigationStars investigation
Stars investigation
DanielPearcy
 
Reflecting on mathematics
Reflecting on mathematicsReflecting on mathematics
Reflecting on mathematics
DanielPearcy
 
Introduction to trig
Introduction to trigIntroduction to trig
Introduction to trig
DanielPearcy
 
Geogebra workshop
Geogebra workshopGeogebra workshop
Geogebra workshop
DanielPearcy
 
How fast do the planets move?
How fast do the planets move?How fast do the planets move?
How fast do the planets move?
DanielPearcy
 
Sine rule or cosine rule
Sine rule or cosine ruleSine rule or cosine rule
Sine rule or cosine rule
DanielPearcy
 
Jeopardy Revision
Jeopardy RevisionJeopardy Revision
Jeopardy Revision
DanielPearcy
 

More from DanielPearcy (10)

Geogebra Pedagogy
Geogebra PedagogyGeogebra Pedagogy
Geogebra Pedagogy
 
Prime factor dec and hcf and lcm
Prime factor dec and hcf and lcmPrime factor dec and hcf and lcm
Prime factor dec and hcf and lcm
 
Prime factor dec and hcf and lcm
Prime factor dec and hcf and lcmPrime factor dec and hcf and lcm
Prime factor dec and hcf and lcm
 
Stars investigation
Stars investigationStars investigation
Stars investigation
 
Reflecting on mathematics
Reflecting on mathematicsReflecting on mathematics
Reflecting on mathematics
 
Introduction to trig
Introduction to trigIntroduction to trig
Introduction to trig
 
Geogebra workshop
Geogebra workshopGeogebra workshop
Geogebra workshop
 
How fast do the planets move?
How fast do the planets move?How fast do the planets move?
How fast do the planets move?
 
Sine rule or cosine rule
Sine rule or cosine ruleSine rule or cosine rule
Sine rule or cosine rule
 
Jeopardy Revision
Jeopardy RevisionJeopardy Revision
Jeopardy Revision
 

Recently uploaded

ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
PECB
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
Priyankaranawat4
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Scholarhat
 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
adhitya5119
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2
 
Top five deadliest dog breeds in America
Top five deadliest dog breeds in AmericaTop five deadliest dog breeds in America
Top five deadliest dog breeds in America
Bisnar Chase Personal Injury Attorneys
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Akanksha trivedi rama nursing college kanpur.
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
Priyankaranawat4
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
tarandeep35
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
heathfieldcps1
 
Assessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptxAssessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptx
Kavitha Krishnan
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
taiba qazi
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Academy of Science of South Africa
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
amberjdewit93
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
NgcHiNguyn25
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 

Recently uploaded (20)

ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
 
Top five deadliest dog breeds in America
Top five deadliest dog breeds in AmericaTop five deadliest dog breeds in America
Top five deadliest dog breeds in America
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
 
Assessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptxAssessment and Planning in Educational technology.pptx
Assessment and Planning in Educational technology.pptx
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 

Grade 6 shapes assessment

  • 1. Real Mathematics: Shapes Assessment Name: ………………………………………………. 1. a) Show on the diagram why the area of any square or rectangle can be found using the formula: Use the space below the diagram to write any comments which will help people understand. ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... …………………………………………………………………………………………………………………………….........
  • 2. b) Use your knowledge of area to find the missing length of the rectangle (on the left) and the missing length of the square (on the right). Please show your working out. h = …………………. cm x = ………………….. cm 2. Find the area and perimeter of the shape below: Area = ………………………………. cm² Perimeter = ……………………………….. cm
  • 3. 3. a) Can you explain, using a diagram or writing or both, why the area of any triangle can be found using the formula: ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... b) Use the space below to make two different triangles which have an area of 12 cm². You DO NOT have to draw these shapes with a ruler.
  • 4. 4. a) The formula for the area of a parallelogram is: Explain why we use the perpendicular height and NOT the slanted height. You can show this using the diagram or by writing or both. ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... b) Find the area of the parallelograms below: Parallelogram 1 Parallelogram 2 Area of Parallelogram 1: ……………………………… cm²
  • 5. Area of Parallelogram 2: ……………………………… cm² 5. a) Circle all of the trapezia below. b) Explain how the picture below helps to show that the formula for the area of a trapezium is: ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... ……………………………………………………………………………………………………………………………......... …………………………………………………………………………………………………………………………………. …………………………………………………………………………………………………………………………….........
  • 6. …………………………………………………………………………………………………………………………………. 6. a) Show three different ways that you could split up the hexagon to find its area. b) By measuring any necessary parts of the hexagon, find itsarea in millimetres squared (mm²).
  • 7. Area of Hexagon = ………………………………mm²