CTET Solved Question Paper - 1 (31 Jan - 2021) | Mathematics & Pedagogy Paper 1 for CTET & TET Exams - CTET & State TET PDF Download

 Page 1


Directions (Q. Nos. 1-30) Answer the
following questions by selecting the
correct/most appropriate options.
1. Which of the following is least likely to impact
teaching-learning in Mathematics?
(a) Knowingwaysinwhichassessmentaffectedthe
confidenceoflearners.
(b) Providingcompletesolutionstostudent’s
wronganswers.
(c) Enhancedqualityoffeedback
(d) Usingresultsofassessmenttomodifyteaching
2. Rohit realises that square is both a rhombus
and a rectangle. He is at what stage of Van
Hiele’s visual thinking?
(a) Level2(Relationships)
(b) Level3(Deduction)
(c) Level0(Recognition)
(d) Level1(Analysis)
3. “The sum of any two whole numbers is a
whole number.”
This property of whole numbers is referred
to as
(a) associativeproperty
(b) distributiveproperty
(c) closureproperty
(d) commutativeproperty
4. Which of the following statements regarding
Mathematics teaching learning is incorrect?
(a) Mathematicalknowledgecanbecreatedin
primaryclassstudentsthroughobservationof
patternandgeneralisations.
(b) Argumentationandnegotiationplayan
importantroleincreatingmathematical
knowledge.
(c) Mathematicallearningisasocialprocess
involvingdialogue.
(d) Cultureandcontexthasnoroleinconstructing
mathematicalknowledge.
5. Which of the following statements is/are true
regarding teaching ‘Numbers’ at primary
level?
A. Intuitive understanding of numbers
should be encouraged.
B. Writing numbers should be taught in
sequence.
C. Writing of numbers as Numerals should
preceed counting.
D. Order irrelevance of numbers should be
encouraged.
(a) AandD
(b) CandD
(c) AandB
(d) BandC
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
31 Janua r y, 2021
Page 2


Directions (Q. Nos. 1-30) Answer the
following questions by selecting the
correct/most appropriate options.
1. Which of the following is least likely to impact
teaching-learning in Mathematics?
(a) Knowingwaysinwhichassessmentaffectedthe
confidenceoflearners.
(b) Providingcompletesolutionstostudent’s
wronganswers.
(c) Enhancedqualityoffeedback
(d) Usingresultsofassessmenttomodifyteaching
2. Rohit realises that square is both a rhombus
and a rectangle. He is at what stage of Van
Hiele’s visual thinking?
(a) Level2(Relationships)
(b) Level3(Deduction)
(c) Level0(Recognition)
(d) Level1(Analysis)
3. “The sum of any two whole numbers is a
whole number.”
This property of whole numbers is referred
to as
(a) associativeproperty
(b) distributiveproperty
(c) closureproperty
(d) commutativeproperty
4. Which of the following statements regarding
Mathematics teaching learning is incorrect?
(a) Mathematicalknowledgecanbecreatedin
primaryclassstudentsthroughobservationof
patternandgeneralisations.
(b) Argumentationandnegotiationplayan
importantroleincreatingmathematical
knowledge.
(c) Mathematicallearningisasocialprocess
involvingdialogue.
(d) Cultureandcontexthasnoroleinconstructing
mathematicalknowledge.
5. Which of the following statements is/are true
regarding teaching ‘Numbers’ at primary
level?
A. Intuitive understanding of numbers
should be encouraged.
B. Writing numbers should be taught in
sequence.
C. Writing of numbers as Numerals should
preceed counting.
D. Order irrelevance of numbers should be
encouraged.
(a) AandD
(b) CandD
(c) AandB
(d) BandC
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
31 Janua r y, 2021
6. Which of the following is the most important
aspect of teaching of Mathematics at
primary level?
(a) Preparingforhighereducationand
employment.
(b) Promotingandpreparingfortechnology.
(c) MakingMathematicspartofchildren’slife
experiences.
(d) Developingrigourincalculations.
7. Which of the following statements is not
correct with regard to nature of
Mathematics?
(a) PrimarylevelMathematicsisconcreteanddoes
notrequireabstraction.
(b) Mathematicsusesspecialvocabularyto
communicateideasprecisely.
(c) Argumentationskillisimportantin
constructionofmathematicalknowledge.
(d) Mathematicalconceptsarehierarchicalin
nature.
8. Which of the following activities is most
likely to develop spatial reasoning among
students?
(a) Identifyingtessellatingfigures
(b) Drawingbargraphstorepresentdata
(c) Identifyingpatternsinanumberchart
(d) SolvingSudokupuzzles
9. Which of the following is most suitable for
teaching children the concept of fractions?
(a) Numbercharts (b) Cuisenairerods
(c) Abacus (d) Geoboards
10. In which of the following statements,
number ‘three’ is used in ordinal sense?
(a) Allgroupshavethreeteammembers.
(b) Thisboxcontainsmanysetsofthreepencils.
(c) Iliveonthethirdfloorofthisbuilding.
(d) Thishousehasthreerooms.
11. Identify the correct statement.
(a) Theunitsofperimeterandareaaresame.
(b) Theshapeoffiguredeterminestheperimeter.
(c) Iftwofigureshavesamearea,theirperimeters
areequal.
(d) Iftwofigureshavesameperimeter,theirareas
areequal.
12. Identify the correct statement with respect
to the Mathematics curriculum.
(a) Theconceptofnegativenumbersshouldbe
introducedatprimarylevelforbetter
understanding
(b) Theconceptofarea-measurementshouldbe
introducedonlyatupperprimarylevel.
(c) Thefoundationofalgebraicthinkingcanbelaid
atprimarylevel.
(d) Theconceptoffractionsshouldbeintroduced
onlyatupperprimarylevel.
13. Identify the correct statement with regard to
introducing the concept of triangles at
primary level.
(a) Childrenshouldbeexposedtotrianglesofall
typesbutexposuretootherfiguresshouldbe
avoided.
(b) Childrenshouldbeexposedtotrianglesofall
typesandalsotootherfigures.
(c) Definitionofatriangleshouldbeprovidedfirst.
(d) Childrenshouldonlybeexposedtoequilateral
trianglestoavoidconfusion.
14. In a division sum, the divisor is 5 times the
quotient and twice the remainder. If the
remainder is 5, what is the number?
(a) 25 (b) 48 (c) 52 (d) 15
15. The sum of five consecutive numbers is 20.
What is the sum of first three consecutive
numbers?
(a) 11 (b) 12
(c) 5 (d) 9
16. A wire in the form of a square encloses an
area of 144 cm
2
. How much area is enclosed
if the same wire is bent in the form of a
rectangle of length 16 cm?
(a) 128cm
2
(b) 96cm
2
(c) 124cm
2
(d) 48cm
2
17. Amongst the following fractions, the largest
and second largest fractions, respectively are
5
6
3
4
1
2
2
3
3
5 ,
, , ,
(a)
3
5
and
2
3
(b)
3
4
and
1
2
(c)
5
6
and
3
4
(d)
5
6
and
3
5
18. Asmita reaches school for a meeting 15 min
before 8 : 30 am. She reached half an hour
earlier than her colleague who is 40 min late
for meeting. What is the scheduled time of
the meeting?
(a) 8:45am (b) 8:05am
(c) 8:15am (d) 9:10am
19. In how many ways, 48 small squares of 1 cm
× 1 cm can be arranged so that the resulting
area is 48 cm
2
?
(a) 5 (b) 2 (c) 6 (d) 4
4
CTET 2021 January (CLASS I-V)Solved Paper
Page 3


Directions (Q. Nos. 1-30) Answer the
following questions by selecting the
correct/most appropriate options.
1. Which of the following is least likely to impact
teaching-learning in Mathematics?
(a) Knowingwaysinwhichassessmentaffectedthe
confidenceoflearners.
(b) Providingcompletesolutionstostudent’s
wronganswers.
(c) Enhancedqualityoffeedback
(d) Usingresultsofassessmenttomodifyteaching
2. Rohit realises that square is both a rhombus
and a rectangle. He is at what stage of Van
Hiele’s visual thinking?
(a) Level2(Relationships)
(b) Level3(Deduction)
(c) Level0(Recognition)
(d) Level1(Analysis)
3. “The sum of any two whole numbers is a
whole number.”
This property of whole numbers is referred
to as
(a) associativeproperty
(b) distributiveproperty
(c) closureproperty
(d) commutativeproperty
4. Which of the following statements regarding
Mathematics teaching learning is incorrect?
(a) Mathematicalknowledgecanbecreatedin
primaryclassstudentsthroughobservationof
patternandgeneralisations.
(b) Argumentationandnegotiationplayan
importantroleincreatingmathematical
knowledge.
(c) Mathematicallearningisasocialprocess
involvingdialogue.
(d) Cultureandcontexthasnoroleinconstructing
mathematicalknowledge.
5. Which of the following statements is/are true
regarding teaching ‘Numbers’ at primary
level?
A. Intuitive understanding of numbers
should be encouraged.
B. Writing numbers should be taught in
sequence.
C. Writing of numbers as Numerals should
preceed counting.
D. Order irrelevance of numbers should be
encouraged.
(a) AandD
(b) CandD
(c) AandB
(d) BandC
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
31 Janua r y, 2021
6. Which of the following is the most important
aspect of teaching of Mathematics at
primary level?
(a) Preparingforhighereducationand
employment.
(b) Promotingandpreparingfortechnology.
(c) MakingMathematicspartofchildren’slife
experiences.
(d) Developingrigourincalculations.
7. Which of the following statements is not
correct with regard to nature of
Mathematics?
(a) PrimarylevelMathematicsisconcreteanddoes
notrequireabstraction.
(b) Mathematicsusesspecialvocabularyto
communicateideasprecisely.
(c) Argumentationskillisimportantin
constructionofmathematicalknowledge.
(d) Mathematicalconceptsarehierarchicalin
nature.
8. Which of the following activities is most
likely to develop spatial reasoning among
students?
(a) Identifyingtessellatingfigures
(b) Drawingbargraphstorepresentdata
(c) Identifyingpatternsinanumberchart
(d) SolvingSudokupuzzles
9. Which of the following is most suitable for
teaching children the concept of fractions?
(a) Numbercharts (b) Cuisenairerods
(c) Abacus (d) Geoboards
10. In which of the following statements,
number ‘three’ is used in ordinal sense?
(a) Allgroupshavethreeteammembers.
(b) Thisboxcontainsmanysetsofthreepencils.
(c) Iliveonthethirdfloorofthisbuilding.
(d) Thishousehasthreerooms.
11. Identify the correct statement.
(a) Theunitsofperimeterandareaaresame.
(b) Theshapeoffiguredeterminestheperimeter.
(c) Iftwofigureshavesamearea,theirperimeters
areequal.
(d) Iftwofigureshavesameperimeter,theirareas
areequal.
12. Identify the correct statement with respect
to the Mathematics curriculum.
(a) Theconceptofnegativenumbersshouldbe
introducedatprimarylevelforbetter
understanding
(b) Theconceptofarea-measurementshouldbe
introducedonlyatupperprimarylevel.
(c) Thefoundationofalgebraicthinkingcanbelaid
atprimarylevel.
(d) Theconceptoffractionsshouldbeintroduced
onlyatupperprimarylevel.
13. Identify the correct statement with regard to
introducing the concept of triangles at
primary level.
(a) Childrenshouldbeexposedtotrianglesofall
typesbutexposuretootherfiguresshouldbe
avoided.
(b) Childrenshouldbeexposedtotrianglesofall
typesandalsotootherfigures.
(c) Definitionofatriangleshouldbeprovidedfirst.
(d) Childrenshouldonlybeexposedtoequilateral
trianglestoavoidconfusion.
14. In a division sum, the divisor is 5 times the
quotient and twice the remainder. If the
remainder is 5, what is the number?
(a) 25 (b) 48 (c) 52 (d) 15
15. The sum of five consecutive numbers is 20.
What is the sum of first three consecutive
numbers?
(a) 11 (b) 12
(c) 5 (d) 9
16. A wire in the form of a square encloses an
area of 144 cm
2
. How much area is enclosed
if the same wire is bent in the form of a
rectangle of length 16 cm?
(a) 128cm
2
(b) 96cm
2
(c) 124cm
2
(d) 48cm
2
17. Amongst the following fractions, the largest
and second largest fractions, respectively are
5
6
3
4
1
2
2
3
3
5 ,
, , ,
(a)
3
5
and
2
3
(b)
3
4
and
1
2
(c)
5
6
and
3
4
(d)
5
6
and
3
5
18. Asmita reaches school for a meeting 15 min
before 8 : 30 am. She reached half an hour
earlier than her colleague who is 40 min late
for meeting. What is the scheduled time of
the meeting?
(a) 8:45am (b) 8:05am
(c) 8:15am (d) 9:10am
19. In how many ways, 48 small squares of 1 cm
× 1 cm can be arranged so that the resulting
area is 48 cm
2
?
(a) 5 (b) 2 (c) 6 (d) 4
4
CTET 2021 January (CLASS I-V)Solved Paper
20. In school assembly,students of a class are
standing in a line. Ruhi is 19th from both
ends. How many students are present in
that class?
(a) 36 (b) 40 (c) 38 (d) 37
21. A number is larger than half of 100. It is
more than 6 tens and less than 8 tens. The
sum of its digits is 9. The tens digit is the
double of the ones digit. What is the
number?
(a) 54 (b) 81
(c) 72 (d) 63
22. The rates of various stationery items are
given below :
A packet of crayons - ` 15.50
A packet of pencils - ` 14.00
A packet of sketch pens - ` 22.50
One scissors - ` 17.00
One eraser - ` 2.00
One sheet of glazed paper - ` 2.50
A pack of decorative stickers - ` 5.00
Sohail buys one packet of crayons, two
packets of pencils, one packet of sketch
pens, one scissors, 5 sheets of glazed papers
and one pack of decorative stickers. How
much would he be required to pay?
(a) `100.50 (b) `102.00
(c) `98.00 (d) `86.50
23. A train starts from Patna on 30th May, 2020
at 23 : 40 h and reaches Mumbai on 1st
June, 2020 at 5:15 h. What is the total travel
time of train?
(a) 29h15min
(b) 28h25min
(c) 28h20min
(d) 29h35min
24. In a five digit number the digit at the
hundreds place is three-fourth of the digit at
ten thousands place and the digit at tens
place is two-third of the digit at hundreds
place. The digit at tens place is square of
the smallest prime number and the digit at
thousands place is the largest single digit
prime number. If the digit at unit place is
the largest single digit odd number, then the
number is
(a) 83419 (b) 42937
(c) 87649 (d) 49327
25. What should be subtracted from the sum of
8008, 8088 and 8808 to obtain 17863?
(a) 7041 (b) 7141 (c) 6121 (d) 6131
26. A bucket of 16 L capacity is filled to the brim
with water.Water from this bucket is to be
transferred into smaller utensils. A mug
filled to capacity has to be dipped 50 times
to completely transfer the water in the
bucket into the utensils. What is the capacity
of the mug?
(a) 275mL (b) 320mL (c) 225mL (d) 250mL
27. A taxi meter shows charges of ` 50 for the
first two kilometres of journey and ` 16 for
every subsequent kilometre travelled. Manju
pays ` 258 as fare to travel from her house
to the railway station. How far is the railway
station from her home?
(a) 15km (b) 18km (c) 12km (d) 13km
28. The following table shows marks obtained
out of 100 by Maria and Shehnaz in five
subjects :
Maria Shehnaz
English 74 81
Maths 88 78
Social Science 65 77
Hindi 73 72
Science 90 82
Based on the table above identify the correct
statement from among the following :
(a) Shehnaz’saggregatemarksinMathsandScience
aremorethanMaria’saggregatemarksinthese
subjects.
(b) TheaggregatemarksofMariaandShehnazare
equal.
(c) MariahasscoredmoremarksthanShehnazin
allthesubjectsexceptthelanguages.
(d) MariahasscoredmoremarksthanShehnazin
onlytwosubjects.
29. Which of the following is a desirable
teaching-learning practice in the context of
Mathematics?
(a) Openbooktestsshouldbeavoided.
(b) Studentsshouldbetoldtofollowtheprescribed
stepsofsolvingproblems.
(c) Openendedquestionsshouldbeavoidedto
preventconfusion.
(d) Intuitiveunderstandingofconceptsshouldbe
encouraged.
5
CTET 2021 January (CLASS I-V)Solved Paper
Page 4


Directions (Q. Nos. 1-30) Answer the
following questions by selecting the
correct/most appropriate options.
1. Which of the following is least likely to impact
teaching-learning in Mathematics?
(a) Knowingwaysinwhichassessmentaffectedthe
confidenceoflearners.
(b) Providingcompletesolutionstostudent’s
wronganswers.
(c) Enhancedqualityoffeedback
(d) Usingresultsofassessmenttomodifyteaching
2. Rohit realises that square is both a rhombus
and a rectangle. He is at what stage of Van
Hiele’s visual thinking?
(a) Level2(Relationships)
(b) Level3(Deduction)
(c) Level0(Recognition)
(d) Level1(Analysis)
3. “The sum of any two whole numbers is a
whole number.”
This property of whole numbers is referred
to as
(a) associativeproperty
(b) distributiveproperty
(c) closureproperty
(d) commutativeproperty
4. Which of the following statements regarding
Mathematics teaching learning is incorrect?
(a) Mathematicalknowledgecanbecreatedin
primaryclassstudentsthroughobservationof
patternandgeneralisations.
(b) Argumentationandnegotiationplayan
importantroleincreatingmathematical
knowledge.
(c) Mathematicallearningisasocialprocess
involvingdialogue.
(d) Cultureandcontexthasnoroleinconstructing
mathematicalknowledge.
5. Which of the following statements is/are true
regarding teaching ‘Numbers’ at primary
level?
A. Intuitive understanding of numbers
should be encouraged.
B. Writing numbers should be taught in
sequence.
C. Writing of numbers as Numerals should
preceed counting.
D. Order irrelevance of numbers should be
encouraged.
(a) AandD
(b) CandD
(c) AandB
(d) BandC
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
31 Janua r y, 2021
6. Which of the following is the most important
aspect of teaching of Mathematics at
primary level?
(a) Preparingforhighereducationand
employment.
(b) Promotingandpreparingfortechnology.
(c) MakingMathematicspartofchildren’slife
experiences.
(d) Developingrigourincalculations.
7. Which of the following statements is not
correct with regard to nature of
Mathematics?
(a) PrimarylevelMathematicsisconcreteanddoes
notrequireabstraction.
(b) Mathematicsusesspecialvocabularyto
communicateideasprecisely.
(c) Argumentationskillisimportantin
constructionofmathematicalknowledge.
(d) Mathematicalconceptsarehierarchicalin
nature.
8. Which of the following activities is most
likely to develop spatial reasoning among
students?
(a) Identifyingtessellatingfigures
(b) Drawingbargraphstorepresentdata
(c) Identifyingpatternsinanumberchart
(d) SolvingSudokupuzzles
9. Which of the following is most suitable for
teaching children the concept of fractions?
(a) Numbercharts (b) Cuisenairerods
(c) Abacus (d) Geoboards
10. In which of the following statements,
number ‘three’ is used in ordinal sense?
(a) Allgroupshavethreeteammembers.
(b) Thisboxcontainsmanysetsofthreepencils.
(c) Iliveonthethirdfloorofthisbuilding.
(d) Thishousehasthreerooms.
11. Identify the correct statement.
(a) Theunitsofperimeterandareaaresame.
(b) Theshapeoffiguredeterminestheperimeter.
(c) Iftwofigureshavesamearea,theirperimeters
areequal.
(d) Iftwofigureshavesameperimeter,theirareas
areequal.
12. Identify the correct statement with respect
to the Mathematics curriculum.
(a) Theconceptofnegativenumbersshouldbe
introducedatprimarylevelforbetter
understanding
(b) Theconceptofarea-measurementshouldbe
introducedonlyatupperprimarylevel.
(c) Thefoundationofalgebraicthinkingcanbelaid
atprimarylevel.
(d) Theconceptoffractionsshouldbeintroduced
onlyatupperprimarylevel.
13. Identify the correct statement with regard to
introducing the concept of triangles at
primary level.
(a) Childrenshouldbeexposedtotrianglesofall
typesbutexposuretootherfiguresshouldbe
avoided.
(b) Childrenshouldbeexposedtotrianglesofall
typesandalsotootherfigures.
(c) Definitionofatriangleshouldbeprovidedfirst.
(d) Childrenshouldonlybeexposedtoequilateral
trianglestoavoidconfusion.
14. In a division sum, the divisor is 5 times the
quotient and twice the remainder. If the
remainder is 5, what is the number?
(a) 25 (b) 48 (c) 52 (d) 15
15. The sum of five consecutive numbers is 20.
What is the sum of first three consecutive
numbers?
(a) 11 (b) 12
(c) 5 (d) 9
16. A wire in the form of a square encloses an
area of 144 cm
2
. How much area is enclosed
if the same wire is bent in the form of a
rectangle of length 16 cm?
(a) 128cm
2
(b) 96cm
2
(c) 124cm
2
(d) 48cm
2
17. Amongst the following fractions, the largest
and second largest fractions, respectively are
5
6
3
4
1
2
2
3
3
5 ,
, , ,
(a)
3
5
and
2
3
(b)
3
4
and
1
2
(c)
5
6
and
3
4
(d)
5
6
and
3
5
18. Asmita reaches school for a meeting 15 min
before 8 : 30 am. She reached half an hour
earlier than her colleague who is 40 min late
for meeting. What is the scheduled time of
the meeting?
(a) 8:45am (b) 8:05am
(c) 8:15am (d) 9:10am
19. In how many ways, 48 small squares of 1 cm
× 1 cm can be arranged so that the resulting
area is 48 cm
2
?
(a) 5 (b) 2 (c) 6 (d) 4
4
CTET 2021 January (CLASS I-V)Solved Paper
20. In school assembly,students of a class are
standing in a line. Ruhi is 19th from both
ends. How many students are present in
that class?
(a) 36 (b) 40 (c) 38 (d) 37
21. A number is larger than half of 100. It is
more than 6 tens and less than 8 tens. The
sum of its digits is 9. The tens digit is the
double of the ones digit. What is the
number?
(a) 54 (b) 81
(c) 72 (d) 63
22. The rates of various stationery items are
given below :
A packet of crayons - ` 15.50
A packet of pencils - ` 14.00
A packet of sketch pens - ` 22.50
One scissors - ` 17.00
One eraser - ` 2.00
One sheet of glazed paper - ` 2.50
A pack of decorative stickers - ` 5.00
Sohail buys one packet of crayons, two
packets of pencils, one packet of sketch
pens, one scissors, 5 sheets of glazed papers
and one pack of decorative stickers. How
much would he be required to pay?
(a) `100.50 (b) `102.00
(c) `98.00 (d) `86.50
23. A train starts from Patna on 30th May, 2020
at 23 : 40 h and reaches Mumbai on 1st
June, 2020 at 5:15 h. What is the total travel
time of train?
(a) 29h15min
(b) 28h25min
(c) 28h20min
(d) 29h35min
24. In a five digit number the digit at the
hundreds place is three-fourth of the digit at
ten thousands place and the digit at tens
place is two-third of the digit at hundreds
place. The digit at tens place is square of
the smallest prime number and the digit at
thousands place is the largest single digit
prime number. If the digit at unit place is
the largest single digit odd number, then the
number is
(a) 83419 (b) 42937
(c) 87649 (d) 49327
25. What should be subtracted from the sum of
8008, 8088 and 8808 to obtain 17863?
(a) 7041 (b) 7141 (c) 6121 (d) 6131
26. A bucket of 16 L capacity is filled to the brim
with water.Water from this bucket is to be
transferred into smaller utensils. A mug
filled to capacity has to be dipped 50 times
to completely transfer the water in the
bucket into the utensils. What is the capacity
of the mug?
(a) 275mL (b) 320mL (c) 225mL (d) 250mL
27. A taxi meter shows charges of ` 50 for the
first two kilometres of journey and ` 16 for
every subsequent kilometre travelled. Manju
pays ` 258 as fare to travel from her house
to the railway station. How far is the railway
station from her home?
(a) 15km (b) 18km (c) 12km (d) 13km
28. The following table shows marks obtained
out of 100 by Maria and Shehnaz in five
subjects :
Maria Shehnaz
English 74 81
Maths 88 78
Social Science 65 77
Hindi 73 72
Science 90 82
Based on the table above identify the correct
statement from among the following :
(a) Shehnaz’saggregatemarksinMathsandScience
aremorethanMaria’saggregatemarksinthese
subjects.
(b) TheaggregatemarksofMariaandShehnazare
equal.
(c) MariahasscoredmoremarksthanShehnazin
allthesubjectsexceptthelanguages.
(d) MariahasscoredmoremarksthanShehnazin
onlytwosubjects.
29. Which of the following is a desirable
teaching-learning practice in the context of
Mathematics?
(a) Openbooktestsshouldbeavoided.
(b) Studentsshouldbetoldtofollowtheprescribed
stepsofsolvingproblems.
(c) Openendedquestionsshouldbeavoidedto
preventconfusion.
(d) Intuitiveunderstandingofconceptsshouldbe
encouraged.
5
CTET 2021 January (CLASS I-V)Solved Paper
1.(b)Providingcompletesolutionstostudent’swrong
answersisleastlikelytoimpactteaching-learningin
Mathematics.
2.(a)Rohitcould’tdifferentiatebetweenalltheproperties
ofsquare,rhombusandrectanglewhichimpliesthatheis
onlevel2(relationship)stageofvisualthinking.
3.(c)Ifthesumofanytwowholenumbersisawhole
number,thenthisisaclosureproperty.
4.(b)‘‘Argumentationandnegotiationplayanimportant
roleincreatingmathematicalknowledge’’Thisstatement
isincorrect.
5.(a)BothIntuitiveunderstandingofandorder
irrelevanceofnumbersshouldbeencouraged.Hence,
bothstatements(A)and(D)aretrueregardingteaching
numbersatprimarylevel.
6.(c)IfMathematicsismadeapartofchildren’slife
experiences,thenitwillhelpinlearningMathematicsat
primarylevel.
7.(c)“Argumentationskillisimportantinconstructionof
mathematicalknowledge”.Thisstatementisnotcorrect
withregardtonatureofmathematics.
8.(a)Identifyingtessellatingfiguresismostlikelyto
developspatialreasoningamongstudents.
9.(b)CuisenairerodsareMathematicslearningaidsfor
studentsthatprovideinteractivewaytoexplore
mathematics,‘Cuisenairerods’ismostsuitablefor
teachingchildrentheconceptoffractions.
10.(c)Thenumberswhichgiveustheexactpositionofan
objectarecalledordinalnumbers.Inthestatement“Ilive
onthethirdfloorofthisbuilding”number‘three’isused
inordinalsense.
11.(b)Itistruethatshapeoffiguredeterminesits
perimeter.
12.(a)Thestatement‘‘Theconceptofnegativenumbers
shouldbeintroducedatprimarylevelforbetter
understanding’’iscorrectwithrespecttoMathematics
curriculum.
13.(b)Theconceptoftrianglesshouldbeintroducedat
primarylevelandchildrenshouldbeexposedtotriangles
ofalltypesandalsotootherfigures.
Hence,statementgiveninoption(b)iscorrect.
14.(a)Remainder =5
Divisor = × = 2 5 10,Quotient = =
10
5
2
Number=(divisor ×quotient)+Remainder
= × + ( ) 10 2 5= + = 20 5 25
15.(d)Letthefiveconsecutivenumbersbe
x -2,x -1,x,x +1,x + 2
Accordingtothequestion,
x x x x x - + - + + + + + = 2 1 1 2 20 ? 5 20 x =
x = =
20
5
4
Sumoffirstthreenumbers
= - + - + x x x 2 1
= - 3 3 x = × - 3 4 3
= - 12 3 = 9
16.(a)
CTET 2021 January (CLASS I-V)Solved Paper
30. Following are some questions posed by the
teacher in the Mathematics classroom.
A. What is the area of the rectangle whose
one side is 5 cm and perimeter is 30 cm?
B. Find a set of numbers whose median is 4.
C. List all prime numbers between 0-8.
D. Tell me anything mathematical
information you know about rectangles.
(a) AisclosedendedandB,C&Dareopenended
questions
(b) A&CareclosedendedandB&Dareopen
endedquestions
(c) A&BareclosedendedquestionsandC&D
areopenendedquestions
(d) A,B&CareclosedendedandDisopenended
question
sOLVED PAPER 2021 Hints & Solutions
Answers
1 (b) 2 (a) 3 (c) 4 (b) 5 (a) 6 (c) 7 (c) 8 (a) 9 (b) 10 (c)
11 (b) 12 (a) 13 (b) 14 (a) 15 (d) 16 (a) 17 (c) 18 (b) 19 (a) 20 (d)
21 (d) 22 (a) 23 (d) 24 (c) 25 (a) 26 (b) 27 (a) 28 (b) 29 (d) 30 (b)
a
Square
b
length
l=16 cm
Page 5


Directions (Q. Nos. 1-30) Answer the
following questions by selecting the
correct/most appropriate options.
1. Which of the following is least likely to impact
teaching-learning in Mathematics?
(a) Knowingwaysinwhichassessmentaffectedthe
confidenceoflearners.
(b) Providingcompletesolutionstostudent’s
wronganswers.
(c) Enhancedqualityoffeedback
(d) Usingresultsofassessmenttomodifyteaching
2. Rohit realises that square is both a rhombus
and a rectangle. He is at what stage of Van
Hiele’s visual thinking?
(a) Level2(Relationships)
(b) Level3(Deduction)
(c) Level0(Recognition)
(d) Level1(Analysis)
3. “The sum of any two whole numbers is a
whole number.”
This property of whole numbers is referred
to as
(a) associativeproperty
(b) distributiveproperty
(c) closureproperty
(d) commutativeproperty
4. Which of the following statements regarding
Mathematics teaching learning is incorrect?
(a) Mathematicalknowledgecanbecreatedin
primaryclassstudentsthroughobservationof
patternandgeneralisations.
(b) Argumentationandnegotiationplayan
importantroleincreatingmathematical
knowledge.
(c) Mathematicallearningisasocialprocess
involvingdialogue.
(d) Cultureandcontexthasnoroleinconstructing
mathematicalknowledge.
5. Which of the following statements is/are true
regarding teaching ‘Numbers’ at primary
level?
A. Intuitive understanding of numbers
should be encouraged.
B. Writing numbers should be taught in
sequence.
C. Writing of numbers as Numerals should
preceed counting.
D. Order irrelevance of numbers should be
encouraged.
(a) AandD
(b) CandD
(c) AandB
(d) BandC
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
31 Janua r y, 2021
6. Which of the following is the most important
aspect of teaching of Mathematics at
primary level?
(a) Preparingforhighereducationand
employment.
(b) Promotingandpreparingfortechnology.
(c) MakingMathematicspartofchildren’slife
experiences.
(d) Developingrigourincalculations.
7. Which of the following statements is not
correct with regard to nature of
Mathematics?
(a) PrimarylevelMathematicsisconcreteanddoes
notrequireabstraction.
(b) Mathematicsusesspecialvocabularyto
communicateideasprecisely.
(c) Argumentationskillisimportantin
constructionofmathematicalknowledge.
(d) Mathematicalconceptsarehierarchicalin
nature.
8. Which of the following activities is most
likely to develop spatial reasoning among
students?
(a) Identifyingtessellatingfigures
(b) Drawingbargraphstorepresentdata
(c) Identifyingpatternsinanumberchart
(d) SolvingSudokupuzzles
9. Which of the following is most suitable for
teaching children the concept of fractions?
(a) Numbercharts (b) Cuisenairerods
(c) Abacus (d) Geoboards
10. In which of the following statements,
number ‘three’ is used in ordinal sense?
(a) Allgroupshavethreeteammembers.
(b) Thisboxcontainsmanysetsofthreepencils.
(c) Iliveonthethirdfloorofthisbuilding.
(d) Thishousehasthreerooms.
11. Identify the correct statement.
(a) Theunitsofperimeterandareaaresame.
(b) Theshapeoffiguredeterminestheperimeter.
(c) Iftwofigureshavesamearea,theirperimeters
areequal.
(d) Iftwofigureshavesameperimeter,theirareas
areequal.
12. Identify the correct statement with respect
to the Mathematics curriculum.
(a) Theconceptofnegativenumbersshouldbe
introducedatprimarylevelforbetter
understanding
(b) Theconceptofarea-measurementshouldbe
introducedonlyatupperprimarylevel.
(c) Thefoundationofalgebraicthinkingcanbelaid
atprimarylevel.
(d) Theconceptoffractionsshouldbeintroduced
onlyatupperprimarylevel.
13. Identify the correct statement with regard to
introducing the concept of triangles at
primary level.
(a) Childrenshouldbeexposedtotrianglesofall
typesbutexposuretootherfiguresshouldbe
avoided.
(b) Childrenshouldbeexposedtotrianglesofall
typesandalsotootherfigures.
(c) Definitionofatriangleshouldbeprovidedfirst.
(d) Childrenshouldonlybeexposedtoequilateral
trianglestoavoidconfusion.
14. In a division sum, the divisor is 5 times the
quotient and twice the remainder. If the
remainder is 5, what is the number?
(a) 25 (b) 48 (c) 52 (d) 15
15. The sum of five consecutive numbers is 20.
What is the sum of first three consecutive
numbers?
(a) 11 (b) 12
(c) 5 (d) 9
16. A wire in the form of a square encloses an
area of 144 cm
2
. How much area is enclosed
if the same wire is bent in the form of a
rectangle of length 16 cm?
(a) 128cm
2
(b) 96cm
2
(c) 124cm
2
(d) 48cm
2
17. Amongst the following fractions, the largest
and second largest fractions, respectively are
5
6
3
4
1
2
2
3
3
5 ,
, , ,
(a)
3
5
and
2
3
(b)
3
4
and
1
2
(c)
5
6
and
3
4
(d)
5
6
and
3
5
18. Asmita reaches school for a meeting 15 min
before 8 : 30 am. She reached half an hour
earlier than her colleague who is 40 min late
for meeting. What is the scheduled time of
the meeting?
(a) 8:45am (b) 8:05am
(c) 8:15am (d) 9:10am
19. In how many ways, 48 small squares of 1 cm
× 1 cm can be arranged so that the resulting
area is 48 cm
2
?
(a) 5 (b) 2 (c) 6 (d) 4
4
CTET 2021 January (CLASS I-V)Solved Paper
20. In school assembly,students of a class are
standing in a line. Ruhi is 19th from both
ends. How many students are present in
that class?
(a) 36 (b) 40 (c) 38 (d) 37
21. A number is larger than half of 100. It is
more than 6 tens and less than 8 tens. The
sum of its digits is 9. The tens digit is the
double of the ones digit. What is the
number?
(a) 54 (b) 81
(c) 72 (d) 63
22. The rates of various stationery items are
given below :
A packet of crayons - ` 15.50
A packet of pencils - ` 14.00
A packet of sketch pens - ` 22.50
One scissors - ` 17.00
One eraser - ` 2.00
One sheet of glazed paper - ` 2.50
A pack of decorative stickers - ` 5.00
Sohail buys one packet of crayons, two
packets of pencils, one packet of sketch
pens, one scissors, 5 sheets of glazed papers
and one pack of decorative stickers. How
much would he be required to pay?
(a) `100.50 (b) `102.00
(c) `98.00 (d) `86.50
23. A train starts from Patna on 30th May, 2020
at 23 : 40 h and reaches Mumbai on 1st
June, 2020 at 5:15 h. What is the total travel
time of train?
(a) 29h15min
(b) 28h25min
(c) 28h20min
(d) 29h35min
24. In a five digit number the digit at the
hundreds place is three-fourth of the digit at
ten thousands place and the digit at tens
place is two-third of the digit at hundreds
place. The digit at tens place is square of
the smallest prime number and the digit at
thousands place is the largest single digit
prime number. If the digit at unit place is
the largest single digit odd number, then the
number is
(a) 83419 (b) 42937
(c) 87649 (d) 49327
25. What should be subtracted from the sum of
8008, 8088 and 8808 to obtain 17863?
(a) 7041 (b) 7141 (c) 6121 (d) 6131
26. A bucket of 16 L capacity is filled to the brim
with water.Water from this bucket is to be
transferred into smaller utensils. A mug
filled to capacity has to be dipped 50 times
to completely transfer the water in the
bucket into the utensils. What is the capacity
of the mug?
(a) 275mL (b) 320mL (c) 225mL (d) 250mL
27. A taxi meter shows charges of ` 50 for the
first two kilometres of journey and ` 16 for
every subsequent kilometre travelled. Manju
pays ` 258 as fare to travel from her house
to the railway station. How far is the railway
station from her home?
(a) 15km (b) 18km (c) 12km (d) 13km
28. The following table shows marks obtained
out of 100 by Maria and Shehnaz in five
subjects :
Maria Shehnaz
English 74 81
Maths 88 78
Social Science 65 77
Hindi 73 72
Science 90 82
Based on the table above identify the correct
statement from among the following :
(a) Shehnaz’saggregatemarksinMathsandScience
aremorethanMaria’saggregatemarksinthese
subjects.
(b) TheaggregatemarksofMariaandShehnazare
equal.
(c) MariahasscoredmoremarksthanShehnazin
allthesubjectsexceptthelanguages.
(d) MariahasscoredmoremarksthanShehnazin
onlytwosubjects.
29. Which of the following is a desirable
teaching-learning practice in the context of
Mathematics?
(a) Openbooktestsshouldbeavoided.
(b) Studentsshouldbetoldtofollowtheprescribed
stepsofsolvingproblems.
(c) Openendedquestionsshouldbeavoidedto
preventconfusion.
(d) Intuitiveunderstandingofconceptsshouldbe
encouraged.
5
CTET 2021 January (CLASS I-V)Solved Paper
1.(b)Providingcompletesolutionstostudent’swrong
answersisleastlikelytoimpactteaching-learningin
Mathematics.
2.(a)Rohitcould’tdifferentiatebetweenalltheproperties
ofsquare,rhombusandrectanglewhichimpliesthatheis
onlevel2(relationship)stageofvisualthinking.
3.(c)Ifthesumofanytwowholenumbersisawhole
number,thenthisisaclosureproperty.
4.(b)‘‘Argumentationandnegotiationplayanimportant
roleincreatingmathematicalknowledge’’Thisstatement
isincorrect.
5.(a)BothIntuitiveunderstandingofandorder
irrelevanceofnumbersshouldbeencouraged.Hence,
bothstatements(A)and(D)aretrueregardingteaching
numbersatprimarylevel.
6.(c)IfMathematicsismadeapartofchildren’slife
experiences,thenitwillhelpinlearningMathematicsat
primarylevel.
7.(c)“Argumentationskillisimportantinconstructionof
mathematicalknowledge”.Thisstatementisnotcorrect
withregardtonatureofmathematics.
8.(a)Identifyingtessellatingfiguresismostlikelyto
developspatialreasoningamongstudents.
9.(b)CuisenairerodsareMathematicslearningaidsfor
studentsthatprovideinteractivewaytoexplore
mathematics,‘Cuisenairerods’ismostsuitablefor
teachingchildrentheconceptoffractions.
10.(c)Thenumberswhichgiveustheexactpositionofan
objectarecalledordinalnumbers.Inthestatement“Ilive
onthethirdfloorofthisbuilding”number‘three’isused
inordinalsense.
11.(b)Itistruethatshapeoffiguredeterminesits
perimeter.
12.(a)Thestatement‘‘Theconceptofnegativenumbers
shouldbeintroducedatprimarylevelforbetter
understanding’’iscorrectwithrespecttoMathematics
curriculum.
13.(b)Theconceptoftrianglesshouldbeintroducedat
primarylevelandchildrenshouldbeexposedtotriangles
ofalltypesandalsotootherfigures.
Hence,statementgiveninoption(b)iscorrect.
14.(a)Remainder =5
Divisor = × = 2 5 10,Quotient = =
10
5
2
Number=(divisor ×quotient)+Remainder
= × + ( ) 10 2 5= + = 20 5 25
15.(d)Letthefiveconsecutivenumbersbe
x -2,x -1,x,x +1,x + 2
Accordingtothequestion,
x x x x x - + - + + + + + = 2 1 1 2 20 ? 5 20 x =
x = =
20
5
4
Sumoffirstthreenumbers
= - + - + x x x 2 1
= - 3 3 x = × - 3 4 3
= - 12 3 = 9
16.(a)
CTET 2021 January (CLASS I-V)Solved Paper
30. Following are some questions posed by the
teacher in the Mathematics classroom.
A. What is the area of the rectangle whose
one side is 5 cm and perimeter is 30 cm?
B. Find a set of numbers whose median is 4.
C. List all prime numbers between 0-8.
D. Tell me anything mathematical
information you know about rectangles.
(a) AisclosedendedandB,C&Dareopenended
questions
(b) A&CareclosedendedandB&Dareopen
endedquestions
(c) A&BareclosedendedquestionsandC&D
areopenendedquestions
(d) A,B&CareclosedendedandDisopenended
question
sOLVED PAPER 2021 Hints & Solutions
Answers
1 (b) 2 (a) 3 (c) 4 (b) 5 (a) 6 (c) 7 (c) 8 (a) 9 (b) 10 (c)
11 (b) 12 (a) 13 (b) 14 (a) 15 (d) 16 (a) 17 (c) 18 (b) 19 (a) 20 (d)
21 (d) 22 (a) 23 (d) 24 (c) 25 (a) 26 (b) 27 (a) 28 (b) 29 (d) 30 (b)
a
Square
b
length
l=16 cm
Area =144cm
2
Areaofsquare =144cm
2
a
2
144 = ? a =12cm
Perimeterofsquare =Perimeterofrectangle
4 2 a l b = + ( )
4 12 2 16 × = + ( ) b
24 16 = + b ? b =8cm
?Areaofrectangle = × l b = × 16 8 =128cm
2
17.(c)
5
6
=0.83,
3
4
0 75 = . ,
1
2
0 50 = . ,
2
3
0 66 = .
3
5
0 60 = .
0 50 0 60 0 66 075 083 . . . . . < < < <
1
2
3
5
2
3
3
4
5
6
< < < <
Largestfraction =
5
6
Secondlargestfraction =
3
4
18.(b)Asmitaislateforthemeeting
= - 40 30 =10 min
TimeatwhichAsmitareachesschool
= - 8 30 15 : min
=8 15 : am
Scheduletimeofmeeting = - 8 15 10 : min
=8 05 : am
19.(a)Thesquarescanbearrangedinrows(r)and
columns(c).
Areaofsmallsquare = × = 1 1 1
2
cm
?Thenumberofways =5
[Q(1,48)(2,24)(3,16)(4,12)(6,8)]
20.(d)Totalnumberofstudentsintheclass
=Positionfromleftend+Positionfromrightend -1
= + - ( ) 19 19 1
= - 38 1= 37
21.(d)Letthenumberbe10x y + .
Halfof100 50 =
6tens = 60
8tens =80
Accordingtothequestion,
10 50 x y + >
10 60 x y + >
10 80 x y + <
?Thenumbercanbe61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79.
x y = 2 and x y + = 9
Here,onlyonenumbersatisfiestheaboveconditioni.e.
63.
22.(a)Totalpayment:costof(1packetofcrayons+two
packetsofpencils+1packetofsketchpens+1scissor+5
sheetofglazedpaper+1packofdecorativestickers.)
= `( . . ) 1550 2 14 2250 17 5 5 + × + + + × + 2.50
= `( ) 15.50 22.50 12.5 + + + + + 28 17 5 = `(100.5)
23.(d)Timefrom23:40h(30thMay)to23.40h
31May=24h
Timefrom23:40h(31may)to5:15am
(1June)=5:35h
Totaltime = + = 24 5.35 29.35= 29h35min
24.(c)Givenafivedigitnumber = ABCDE
Digitattensplace =(smallestprimenumber)
2
D = = ( ) 2 4
2
Digitatthousandplace =largestsingledigitprime
number,B =7
Digitatunitplace =largestsingledigitoddnumberE = 9
Digitathundredplace =
3
2
digitattensplace
C = × =
3
2
4 6
Digitattenthousandplace = ×
4
3
6 ? A =8
?Thenumberis87649.
25.(a)Letthenumbertobesubtractedisx.
Accordingtothequestion,
8008 8088 8808 17863 + + - = x
x = + + - 8008 8088 8808 17863
x =7041
26.(b)Capacityofbucket =16L =16000 mL
Capacityofmug =
16000
50
= 320 mL
27. (a)Lettherequireddistancebexkm.
Accordingtothequestion,
50 2 16 258 + - = ( ) x
50 16 32 258 + - = x ? 16 258 32 50 x = + -
16 240 x = ? x = =
240
16
15
? Totaldistance=15km
28.(b)AggregatemarksofMaria
= + + + + 74 88 65 73 90 = 390
AggregatemarksofShehnaz
= + + + + 81 78 77 72 82= 390
Hence,aggregatemarksofMariaandShehnazareequal.
29.(d)Theintroductionofintuitiveunderstandingof
conceptsisadesirableteachinglearningpracticeinthe
contextofMathematics.
30.(b)AandCarecloseendedandBandDareopen
endedquestions.
7
CTET 2021 January (CLASS I-V)Solved Paper