CTET Solved Question Paper - 1 (21 Feb - 2016) | Mathematics & Pedagogy Paper 1 for CTET & TET Exams - CTET & State TET PDF Download

 Page 1


Directions (Q.Nos.1-30) Answerthefollowingquestionsbyselectingthecorrect/most
appropriateoption.
1. Ateacher isteaching 'addition' toClassII
students. Which oneofthefollowing isthe
mostsuitablestrategy tofollow?
(1) Word problems should not be done in Class II
(2) Word problems should be used only for the
purpose of assessment
(3) Addition should be introduced through word
problems
(4) Word problems should be done at the end of
the chapter
2. Ateacher ofClassIIgivesthefollowing
wordproblemon ‘addition’ tostudentsto
solve.
“Abasketcontains5applesand7more
applesareaddedtoit. How many applesare
now therein thebasket?”
This type ofword problembelongs towhich
ofthe following models/categories?
(1) Augmentation (2) Segregation
(3) Repeated addition (4) Aggregation
3. “Errorsplay an importantrolein
Mathematics.”Thisstatementis
(1) false,  as there  is  no  scope of errors in
Mathematics
(2) false, as errors indicate carelessness
(3) true, as they give ideas about how children
construct Mathematics concepts
(4) true, as they give feedback to students about
their marks
4. Which oneofthefollowing Teaching
Learning Materials(TLM)isbestsuitedto
explain ‘1/10isgreater than1/100’ toClass
IVstudents?
(1) Dienes block (2) Number chart
(3) Abacus (4) 10 10 × square grid
5. Which oneofthefollowing isbestsuitedfor
comparison ofsizes(areas)oftwoor more
two-dimensionalobjects?
(1) Using non-standard units
(2) Estimation
(3) Observation (4) Superposition
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
2 1 F ebruary, 20 16
Page 2


Directions (Q.Nos.1-30) Answerthefollowingquestionsbyselectingthecorrect/most
appropriateoption.
1. Ateacher isteaching 'addition' toClassII
students. Which oneofthefollowing isthe
mostsuitablestrategy tofollow?
(1) Word problems should not be done in Class II
(2) Word problems should be used only for the
purpose of assessment
(3) Addition should be introduced through word
problems
(4) Word problems should be done at the end of
the chapter
2. Ateacher ofClassIIgivesthefollowing
wordproblemon ‘addition’ tostudentsto
solve.
“Abasketcontains5applesand7more
applesareaddedtoit. How many applesare
now therein thebasket?”
This type ofword problembelongs towhich
ofthe following models/categories?
(1) Augmentation (2) Segregation
(3) Repeated addition (4) Aggregation
3. “Errorsplay an importantrolein
Mathematics.”Thisstatementis
(1) false,  as there  is  no  scope of errors in
Mathematics
(2) false, as errors indicate carelessness
(3) true, as they give ideas about how children
construct Mathematics concepts
(4) true, as they give feedback to students about
their marks
4. Which oneofthefollowing Teaching
Learning Materials(TLM)isbestsuitedto
explain ‘1/10isgreater than1/100’ toClass
IVstudents?
(1) Dienes block (2) Number chart
(3) Abacus (4) 10 10 × square grid
5. Which oneofthefollowing isbestsuitedfor
comparison ofsizes(areas)oftwoor more
two-dimensionalobjects?
(1) Using non-standard units
(2) Estimation
(3) Observation (4) Superposition
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
2 1 F ebruary, 20 16
6. ‘Mathematicspuzzles’ atprimary level
helpin
(1) identifying brilliant students of the class
(2) providing fun to students
(3) testing problem-solving skills
(4) promoting problem-solving skills
7. Mathematicalcommunication refersto
(1) ability to consolidate and organise
Mathematical thinking
(2) ability to solve problems
(3) skills to participate in Mathematics quiz
(4) ability to speak in Mathematics classroom
8. According totheNCF, 2005, which oneof
thefollowing isnotamajor aimof
Mathematicseducation in primary schools?
(1) To Mathematise the child’s thought process
(2) To relate Mathematics to the child’s context
(3) To enhance problem-solving skills
(4) To prepare for higher education in
Mathematics
9. Which oneofthefollowing shouldbethe
mostimportantfeatureofMathematics
textbooksatprimary level?
(1) Concepts should be linked to higher classes
(2) Concepts should be presented from complex
to simple
(3) Concepts should be presented in a strict
hierarchical manner
(4) Concepts should be presented from concrete
to abstract
10. Which oneofthefollowing representsthe
correctsequenceofdevelopmentof
geometricalunderstanding?
(1) Visualisation, formal deduction, analysis,
informal deduction
(2) Visualisation, analysis, informal deduction,
formal deduction
(3) Formal deduction, informal deduction,
visualisation, analysis
(4) Visualisation, analysis, formal deduction,
informal deduction
11. Whichoneofthefollowingstatementsistrue?
(1) Zero should be introduced after number 9
(2) Zero should be introduced at the time of
teaching place value
(3) Zero should be the first numeral to be taught
(4) Zero should be introduced after children
develop number sense
12. Ateacher plansthefollowing activitiesto
introducetheconceptof‘half’ toClassIII
students.
A. Showspicturesrepresenting‘half’.
B. Writessymbolfor‘half’.
C. Dividesmanytypesofconcretematerials
into‘halves’.
D. Usesstoryorwordstorepresent‘half’.
Which one ofthe following is the correct
sequence ofthe activities that the teacher
needs tofollow?
(1) C, A, D, B (2) C, D, A, B
(3) A, B, C, D (4) B, A, C, D
13. Whichoneofthefollowingistrueabout
teachingandlearning ofMathematicsin
ClassIandII?
(1) Lots of opportunities for practice should be
provided
(2) Only oral Mathematics problems should be
done in Class I and II
(3) Mathematics should be integrated with other
subjects like language, art etc.
(4) Mathematics should not be taught in Class I
and II
14. If1001 111 110000 11 × = + × ........, then the
number in theblankspaceis
(1) 121 (2) 211
(3) 101 (4) 111
15. If(theplacevalueof5in 15201) + (theplace
valueof6in 2659) = × 7 ......., then the
number in theblankspaceis
(1) 90 (2) 900
(3) 80 (4) 800
16. If(theproductofthecommonpositivefactors
of36and48) = + × 999 9 ........, then the
number which willcomein theblankspace
is
(1) 81 (2) 90
(3) 9 (4) 27
17. Ifthedifferenceofremainders, obtainedon
dividing 26679by 39and29405by 34, is
dividedby 18, then theremainder willbe
(1) 8 (2) 9 (3) 3 (4) 5
18. (Thesmallestcommon multipleof36, 54
and60) ÷90isequalto
(1) 10 (2) 12
(3) 5 (4) 6
Solved Paper 2016 11
Page 3


Directions (Q.Nos.1-30) Answerthefollowingquestionsbyselectingthecorrect/most
appropriateoption.
1. Ateacher isteaching 'addition' toClassII
students. Which oneofthefollowing isthe
mostsuitablestrategy tofollow?
(1) Word problems should not be done in Class II
(2) Word problems should be used only for the
purpose of assessment
(3) Addition should be introduced through word
problems
(4) Word problems should be done at the end of
the chapter
2. Ateacher ofClassIIgivesthefollowing
wordproblemon ‘addition’ tostudentsto
solve.
“Abasketcontains5applesand7more
applesareaddedtoit. How many applesare
now therein thebasket?”
This type ofword problembelongs towhich
ofthe following models/categories?
(1) Augmentation (2) Segregation
(3) Repeated addition (4) Aggregation
3. “Errorsplay an importantrolein
Mathematics.”Thisstatementis
(1) false,  as there  is  no  scope of errors in
Mathematics
(2) false, as errors indicate carelessness
(3) true, as they give ideas about how children
construct Mathematics concepts
(4) true, as they give feedback to students about
their marks
4. Which oneofthefollowing Teaching
Learning Materials(TLM)isbestsuitedto
explain ‘1/10isgreater than1/100’ toClass
IVstudents?
(1) Dienes block (2) Number chart
(3) Abacus (4) 10 10 × square grid
5. Which oneofthefollowing isbestsuitedfor
comparison ofsizes(areas)oftwoor more
two-dimensionalobjects?
(1) Using non-standard units
(2) Estimation
(3) Observation (4) Superposition
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
2 1 F ebruary, 20 16
6. ‘Mathematicspuzzles’ atprimary level
helpin
(1) identifying brilliant students of the class
(2) providing fun to students
(3) testing problem-solving skills
(4) promoting problem-solving skills
7. Mathematicalcommunication refersto
(1) ability to consolidate and organise
Mathematical thinking
(2) ability to solve problems
(3) skills to participate in Mathematics quiz
(4) ability to speak in Mathematics classroom
8. According totheNCF, 2005, which oneof
thefollowing isnotamajor aimof
Mathematicseducation in primary schools?
(1) To Mathematise the child’s thought process
(2) To relate Mathematics to the child’s context
(3) To enhance problem-solving skills
(4) To prepare for higher education in
Mathematics
9. Which oneofthefollowing shouldbethe
mostimportantfeatureofMathematics
textbooksatprimary level?
(1) Concepts should be linked to higher classes
(2) Concepts should be presented from complex
to simple
(3) Concepts should be presented in a strict
hierarchical manner
(4) Concepts should be presented from concrete
to abstract
10. Which oneofthefollowing representsthe
correctsequenceofdevelopmentof
geometricalunderstanding?
(1) Visualisation, formal deduction, analysis,
informal deduction
(2) Visualisation, analysis, informal deduction,
formal deduction
(3) Formal deduction, informal deduction,
visualisation, analysis
(4) Visualisation, analysis, formal deduction,
informal deduction
11. Whichoneofthefollowingstatementsistrue?
(1) Zero should be introduced after number 9
(2) Zero should be introduced at the time of
teaching place value
(3) Zero should be the first numeral to be taught
(4) Zero should be introduced after children
develop number sense
12. Ateacher plansthefollowing activitiesto
introducetheconceptof‘half’ toClassIII
students.
A. Showspicturesrepresenting‘half’.
B. Writessymbolfor‘half’.
C. Dividesmanytypesofconcretematerials
into‘halves’.
D. Usesstoryorwordstorepresent‘half’.
Which one ofthe following is the correct
sequence ofthe activities that the teacher
needs tofollow?
(1) C, A, D, B (2) C, D, A, B
(3) A, B, C, D (4) B, A, C, D
13. Whichoneofthefollowingistrueabout
teachingandlearning ofMathematicsin
ClassIandII?
(1) Lots of opportunities for practice should be
provided
(2) Only oral Mathematics problems should be
done in Class I and II
(3) Mathematics should be integrated with other
subjects like language, art etc.
(4) Mathematics should not be taught in Class I
and II
14. If1001 111 110000 11 × = + × ........, then the
number in theblankspaceis
(1) 121 (2) 211
(3) 101 (4) 111
15. If(theplacevalueof5in 15201) + (theplace
valueof6in 2659) = × 7 ......., then the
number in theblankspaceis
(1) 90 (2) 900
(3) 80 (4) 800
16. If(theproductofthecommonpositivefactors
of36and48) = + × 999 9 ........, then the
number which willcomein theblankspace
is
(1) 81 (2) 90
(3) 9 (4) 27
17. Ifthedifferenceofremainders, obtainedon
dividing 26679by 39and29405by 34, is
dividedby 18, then theremainder willbe
(1) 8 (2) 9 (3) 3 (4) 5
18. (Thesmallestcommon multipleof36, 54
and60) ÷90isequalto
(1) 10 (2) 12
(3) 5 (4) 6
Solved Paper 2016 11
19.
Sonu has five dozen toffees. Hegave1/3
1
3
of
thesetoAmita,
2
5
ofthesetoAniland
1
12
of
these toHamida. Thenumber oftoffees
leftwith Sonu is
(1) 9 (2) 11 (3) 5 (4) 7
20. If 112ones + 12thousand = + 11012 ........
tens, then thenumber in theblankspaceis
(1) 111 (2) 112
(3) 101 (4) 110
21. 51Land750mLofmilkisfilledin
23bottles, each ofthesamesize. The
quantity ofmilkin 16such bottlesis
(1) 36 L (2) 37 L and 600 mL
(3) 34 L and 400 mL (4) 35 L
22. Adistanceof 1/2 cmon amaprepresents
200kmon theground. Iftwocitiesare1800
kmaparton theground, then their distance
on themapwillbe
(1) 6 cm (2) 9 cm
(3) 3 and 1/2 cm (4) 4 and 1/2 cm
23. Which oneofthefollowing isnotcorrect?
(1) One centimetre is one-hundredth of one
metre
(2) One millilitre is one-hundredth of one litre
(3) One lakh is equal to one hundred thousand
(4) One crore is equal to one hundred lakh
24. Acuboidalbox is13cmlong, 11cmbroad
and9cmhigh. Acubicalbox hasside12cm.
Tanu wantstopack3060cubesofside1cm
in theseboxes. Thenumber ofthecubesleft
unpackedin theseboxesis
(1) 30 (2) 45
(3) 15 (4) 28
25. Thelength andbreadth ofarectangleare
48cmand21cm, respectively. Thesideofa
squareistwo-thirdthelengthofthe
rectangle.Thesumoftheirareas
(insqcm)is
(1) 2032 (2) 2123
(3) 2028 (4) 2030
26. Theproduct672 36 25 × × equals
(1) the number of seconds in 5 days
(2) the number of seconds in 1 week
(3) the number of minutes in 7 weeks
(4) the number of hours in 60 days
27. When fresh fish isdried, itbecomes
one-thirdofitsweight. Savibought2709kg
offresh fish attherateof ` 27per kg and
when dried, she soldthemat ` 97.5per kg.
Sheearnedin all
(1) ` 14899.5 (2) ` 15874.5
(3) ` 14709.5 (4) ` 14789.5
28. Juhitravelledadistanceof16kmby bicycle
atthespeedof15km/h, 20kmby scooter at
thespeedof50km/h and50kmby car at
thespeedof60km/h. Thetotaltime
(in minutes)taken totravelthesedistances
was
(1) 144 (2) 138
(3) 88 (4) 114
29. Which oneofthefollowing isprerequisiteto
understanddecimalrepresentation ofa
number?
(1) Addition (2) Subtraction
(3) Place value (4) Multiplication
30. Thefour fundamentaloperationsin
arithmetic are
(1) addition, division, finding perimeter and area
(2) calculation, computation,  construction  and
forming equation
(3) addition, multiplication, converting fractions
into decimals and construction of regular
shapes
(4) addition, subtraction, multiplication and
division
12 CTET&TETs~Mathematics&Pedagogy
Page 4


Directions (Q.Nos.1-30) Answerthefollowingquestionsbyselectingthecorrect/most
appropriateoption.
1. Ateacher isteaching 'addition' toClassII
students. Which oneofthefollowing isthe
mostsuitablestrategy tofollow?
(1) Word problems should not be done in Class II
(2) Word problems should be used only for the
purpose of assessment
(3) Addition should be introduced through word
problems
(4) Word problems should be done at the end of
the chapter
2. Ateacher ofClassIIgivesthefollowing
wordproblemon ‘addition’ tostudentsto
solve.
“Abasketcontains5applesand7more
applesareaddedtoit. How many applesare
now therein thebasket?”
This type ofword problembelongs towhich
ofthe following models/categories?
(1) Augmentation (2) Segregation
(3) Repeated addition (4) Aggregation
3. “Errorsplay an importantrolein
Mathematics.”Thisstatementis
(1) false,  as there  is  no  scope of errors in
Mathematics
(2) false, as errors indicate carelessness
(3) true, as they give ideas about how children
construct Mathematics concepts
(4) true, as they give feedback to students about
their marks
4. Which oneofthefollowing Teaching
Learning Materials(TLM)isbestsuitedto
explain ‘1/10isgreater than1/100’ toClass
IVstudents?
(1) Dienes block (2) Number chart
(3) Abacus (4) 10 10 × square grid
5. Which oneofthefollowing isbestsuitedfor
comparison ofsizes(areas)oftwoor more
two-dimensionalobjects?
(1) Using non-standard units
(2) Estimation
(3) Observation (4) Superposition
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
2 1 F ebruary, 20 16
6. ‘Mathematicspuzzles’ atprimary level
helpin
(1) identifying brilliant students of the class
(2) providing fun to students
(3) testing problem-solving skills
(4) promoting problem-solving skills
7. Mathematicalcommunication refersto
(1) ability to consolidate and organise
Mathematical thinking
(2) ability to solve problems
(3) skills to participate in Mathematics quiz
(4) ability to speak in Mathematics classroom
8. According totheNCF, 2005, which oneof
thefollowing isnotamajor aimof
Mathematicseducation in primary schools?
(1) To Mathematise the child’s thought process
(2) To relate Mathematics to the child’s context
(3) To enhance problem-solving skills
(4) To prepare for higher education in
Mathematics
9. Which oneofthefollowing shouldbethe
mostimportantfeatureofMathematics
textbooksatprimary level?
(1) Concepts should be linked to higher classes
(2) Concepts should be presented from complex
to simple
(3) Concepts should be presented in a strict
hierarchical manner
(4) Concepts should be presented from concrete
to abstract
10. Which oneofthefollowing representsthe
correctsequenceofdevelopmentof
geometricalunderstanding?
(1) Visualisation, formal deduction, analysis,
informal deduction
(2) Visualisation, analysis, informal deduction,
formal deduction
(3) Formal deduction, informal deduction,
visualisation, analysis
(4) Visualisation, analysis, formal deduction,
informal deduction
11. Whichoneofthefollowingstatementsistrue?
(1) Zero should be introduced after number 9
(2) Zero should be introduced at the time of
teaching place value
(3) Zero should be the first numeral to be taught
(4) Zero should be introduced after children
develop number sense
12. Ateacher plansthefollowing activitiesto
introducetheconceptof‘half’ toClassIII
students.
A. Showspicturesrepresenting‘half’.
B. Writessymbolfor‘half’.
C. Dividesmanytypesofconcretematerials
into‘halves’.
D. Usesstoryorwordstorepresent‘half’.
Which one ofthe following is the correct
sequence ofthe activities that the teacher
needs tofollow?
(1) C, A, D, B (2) C, D, A, B
(3) A, B, C, D (4) B, A, C, D
13. Whichoneofthefollowingistrueabout
teachingandlearning ofMathematicsin
ClassIandII?
(1) Lots of opportunities for practice should be
provided
(2) Only oral Mathematics problems should be
done in Class I and II
(3) Mathematics should be integrated with other
subjects like language, art etc.
(4) Mathematics should not be taught in Class I
and II
14. If1001 111 110000 11 × = + × ........, then the
number in theblankspaceis
(1) 121 (2) 211
(3) 101 (4) 111
15. If(theplacevalueof5in 15201) + (theplace
valueof6in 2659) = × 7 ......., then the
number in theblankspaceis
(1) 90 (2) 900
(3) 80 (4) 800
16. If(theproductofthecommonpositivefactors
of36and48) = + × 999 9 ........, then the
number which willcomein theblankspace
is
(1) 81 (2) 90
(3) 9 (4) 27
17. Ifthedifferenceofremainders, obtainedon
dividing 26679by 39and29405by 34, is
dividedby 18, then theremainder willbe
(1) 8 (2) 9 (3) 3 (4) 5
18. (Thesmallestcommon multipleof36, 54
and60) ÷90isequalto
(1) 10 (2) 12
(3) 5 (4) 6
Solved Paper 2016 11
19.
Sonu has five dozen toffees. Hegave1/3
1
3
of
thesetoAmita,
2
5
ofthesetoAniland
1
12
of
these toHamida. Thenumber oftoffees
leftwith Sonu is
(1) 9 (2) 11 (3) 5 (4) 7
20. If 112ones + 12thousand = + 11012 ........
tens, then thenumber in theblankspaceis
(1) 111 (2) 112
(3) 101 (4) 110
21. 51Land750mLofmilkisfilledin
23bottles, each ofthesamesize. The
quantity ofmilkin 16such bottlesis
(1) 36 L (2) 37 L and 600 mL
(3) 34 L and 400 mL (4) 35 L
22. Adistanceof 1/2 cmon amaprepresents
200kmon theground. Iftwocitiesare1800
kmaparton theground, then their distance
on themapwillbe
(1) 6 cm (2) 9 cm
(3) 3 and 1/2 cm (4) 4 and 1/2 cm
23. Which oneofthefollowing isnotcorrect?
(1) One centimetre is one-hundredth of one
metre
(2) One millilitre is one-hundredth of one litre
(3) One lakh is equal to one hundred thousand
(4) One crore is equal to one hundred lakh
24. Acuboidalbox is13cmlong, 11cmbroad
and9cmhigh. Acubicalbox hasside12cm.
Tanu wantstopack3060cubesofside1cm
in theseboxes. Thenumber ofthecubesleft
unpackedin theseboxesis
(1) 30 (2) 45
(3) 15 (4) 28
25. Thelength andbreadth ofarectangleare
48cmand21cm, respectively. Thesideofa
squareistwo-thirdthelengthofthe
rectangle.Thesumoftheirareas
(insqcm)is
(1) 2032 (2) 2123
(3) 2028 (4) 2030
26. Theproduct672 36 25 × × equals
(1) the number of seconds in 5 days
(2) the number of seconds in 1 week
(3) the number of minutes in 7 weeks
(4) the number of hours in 60 days
27. When fresh fish isdried, itbecomes
one-thirdofitsweight. Savibought2709kg
offresh fish attherateof ` 27per kg and
when dried, she soldthemat ` 97.5per kg.
Sheearnedin all
(1) ` 14899.5 (2) ` 15874.5
(3) ` 14709.5 (4) ` 14789.5
28. Juhitravelledadistanceof16kmby bicycle
atthespeedof15km/h, 20kmby scooter at
thespeedof50km/h and50kmby car at
thespeedof60km/h. Thetotaltime
(in minutes)taken totravelthesedistances
was
(1) 144 (2) 138
(3) 88 (4) 114
29. Which oneofthefollowing isprerequisiteto
understanddecimalrepresentation ofa
number?
(1) Addition (2) Subtraction
(3) Place value (4) Multiplication
30. Thefour fundamentaloperationsin
arithmetic are
(1) addition, division, finding perimeter and area
(2) calculation, computation,  construction  and
forming equation
(3) addition, multiplication, converting fractions
into decimals and construction of regular
shapes
(4) addition, subtraction, multiplication and
division
12 CTET&TETs~Mathematics&Pedagogy
1. (3) Without word problem addition cannot be
explained to the Class II students. e.g. Suppose we
have to teach Class II student that 2 3 + is how much.
First, we asked the student that consider a basket having
two balls then place three more balls in the basket and
then count. The student will start counting and he/she
finds that there are 5 balls in the basket.
? 2 3 5 + =
2. (4) This types of problem belongs to Aggregation.
‘Aggregation’ means gathering of things together.
3. (3) Errors play an important role in Mathematics is a
true statement because the errors gives ideas about
how children construct Mathematical concepts.
4. (3) Abacus is a tool used for calculating numbers
through basic arithmetic system. It can carry out
operations such as counting upto decimal places.
5. (3) Initially, students directly compare lengths of
two objects by placing them side-by-side against
another object. So, observation is best suited method.
6. (4) Students enjoy working on grid puzzles as small,
quick challenges of their mathematical and logical
skills. They can be easily motivated to adopt learning
strategies.
7. (1) Organise and consolidate their Mathematical
thinking through Mathematical communication.
8. (4) According to the NCF, 2005 the chief aim of
Mathematics education is constructive learning. So, to
prepare for higher education in Mathematics is not
part of constructive learning at primary schools.
9. (4) In Mathematics textbooks concept at primary
level presented from concrete to abstract manner.
10. (2) The Van Hiele model have the five levels which
describe how children learn to reason in geometry.
This is in contrast to Piaget's theory of cognitive
development, which is age-dependent. The levels are as
follows
Level 0 : Visualisation
Level 1 : Analysis
Level 2 : Abstraction (Informal Deduction)
Level 3 : Deduction (Formal Deduction)
Level 4 : Rigor (informed deduction)
11. (4) Number sense means an amount of quantity
that could apply to anything. So, zero should be
introduced after children devlop Number sense.
12. (1) First, Teacher divides many types of concrete
materials into halves, then shows pictures representing
‘half ’, then uses story to represent half and then write
symbol for ‘half ’.
13. (3) Initially in class-I and II, Mathematics should
be integrated with other subjects like language, art, etc.
Children will take more interest when they learn
Maths by doing coloring, reading, conceptual stories
etc.
14. (3) Let the blanks space be x.
? 1001 111 110000 11 × = + x
Now, we have to find the value of x.
( ) 1000 1 111 110000 11 + × = + x
?111000 111 110000 11 + = + x
? 111111 110000 11 = + x
? 11 111111 110000 x = - ? 11 1111 x =
? x = =
1111
11
101
15. (4) The place value of 5 in 15201 5000 =
The Place value of 6 in 2659 = 600
Now, from question.
5000 600 7 + = x [let the blank space bex]
? 7 5600 x = ? x = =
5600
7
800
16. (1) Factors of 36 1 2 3 4 6 9 12 18 36 = , , , , , , , ,
Factors of 48 1 2 3 4 3 6 8 12 16 24 48 = , , , , , , , , , ,
?Common factors of 36 and 48 are 1, 2, 3, 4, 6, 12.
From the questions,
1 2 3 4 6 12 999 9 × × × × × = + ×x [let blank space bex]
? 1728 999 9 = + x
? 9 1728 999 729 x = - =
? x = =
729
9
81
17. (1) 39) 26679(684
234
× 327
312
× 159
156
× 3
Remainder = 3
Now, 34) 29405 (864
272
× 220
204
× 165
136
29
sOLVED PAPER 2016 Hints&Solutions
Page 5


Directions (Q.Nos.1-30) Answerthefollowingquestionsbyselectingthecorrect/most
appropriateoption.
1. Ateacher isteaching 'addition' toClassII
students. Which oneofthefollowing isthe
mostsuitablestrategy tofollow?
(1) Word problems should not be done in Class II
(2) Word problems should be used only for the
purpose of assessment
(3) Addition should be introduced through word
problems
(4) Word problems should be done at the end of
the chapter
2. Ateacher ofClassIIgivesthefollowing
wordproblemon ‘addition’ tostudentsto
solve.
“Abasketcontains5applesand7more
applesareaddedtoit. How many applesare
now therein thebasket?”
This type ofword problembelongs towhich
ofthe following models/categories?
(1) Augmentation (2) Segregation
(3) Repeated addition (4) Aggregation
3. “Errorsplay an importantrolein
Mathematics.”Thisstatementis
(1) false,  as there  is  no  scope of errors in
Mathematics
(2) false, as errors indicate carelessness
(3) true, as they give ideas about how children
construct Mathematics concepts
(4) true, as they give feedback to students about
their marks
4. Which oneofthefollowing Teaching
Learning Materials(TLM)isbestsuitedto
explain ‘1/10isgreater than1/100’ toClass
IVstudents?
(1) Dienes block (2) Number chart
(3) Abacus (4) 10 10 × square grid
5. Which oneofthefollowing isbestsuitedfor
comparison ofsizes(areas)oftwoor more
two-dimensionalobjects?
(1) Using non-standard units
(2) Estimation
(3) Observation (4) Superposition
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
2 1 F ebruary, 20 16
6. ‘Mathematicspuzzles’ atprimary level
helpin
(1) identifying brilliant students of the class
(2) providing fun to students
(3) testing problem-solving skills
(4) promoting problem-solving skills
7. Mathematicalcommunication refersto
(1) ability to consolidate and organise
Mathematical thinking
(2) ability to solve problems
(3) skills to participate in Mathematics quiz
(4) ability to speak in Mathematics classroom
8. According totheNCF, 2005, which oneof
thefollowing isnotamajor aimof
Mathematicseducation in primary schools?
(1) To Mathematise the child’s thought process
(2) To relate Mathematics to the child’s context
(3) To enhance problem-solving skills
(4) To prepare for higher education in
Mathematics
9. Which oneofthefollowing shouldbethe
mostimportantfeatureofMathematics
textbooksatprimary level?
(1) Concepts should be linked to higher classes
(2) Concepts should be presented from complex
to simple
(3) Concepts should be presented in a strict
hierarchical manner
(4) Concepts should be presented from concrete
to abstract
10. Which oneofthefollowing representsthe
correctsequenceofdevelopmentof
geometricalunderstanding?
(1) Visualisation, formal deduction, analysis,
informal deduction
(2) Visualisation, analysis, informal deduction,
formal deduction
(3) Formal deduction, informal deduction,
visualisation, analysis
(4) Visualisation, analysis, formal deduction,
informal deduction
11. Whichoneofthefollowingstatementsistrue?
(1) Zero should be introduced after number 9
(2) Zero should be introduced at the time of
teaching place value
(3) Zero should be the first numeral to be taught
(4) Zero should be introduced after children
develop number sense
12. Ateacher plansthefollowing activitiesto
introducetheconceptof‘half’ toClassIII
students.
A. Showspicturesrepresenting‘half’.
B. Writessymbolfor‘half’.
C. Dividesmanytypesofconcretematerials
into‘halves’.
D. Usesstoryorwordstorepresent‘half’.
Which one ofthe following is the correct
sequence ofthe activities that the teacher
needs tofollow?
(1) C, A, D, B (2) C, D, A, B
(3) A, B, C, D (4) B, A, C, D
13. Whichoneofthefollowingistrueabout
teachingandlearning ofMathematicsin
ClassIandII?
(1) Lots of opportunities for practice should be
provided
(2) Only oral Mathematics problems should be
done in Class I and II
(3) Mathematics should be integrated with other
subjects like language, art etc.
(4) Mathematics should not be taught in Class I
and II
14. If1001 111 110000 11 × = + × ........, then the
number in theblankspaceis
(1) 121 (2) 211
(3) 101 (4) 111
15. If(theplacevalueof5in 15201) + (theplace
valueof6in 2659) = × 7 ......., then the
number in theblankspaceis
(1) 90 (2) 900
(3) 80 (4) 800
16. If(theproductofthecommonpositivefactors
of36and48) = + × 999 9 ........, then the
number which willcomein theblankspace
is
(1) 81 (2) 90
(3) 9 (4) 27
17. Ifthedifferenceofremainders, obtainedon
dividing 26679by 39and29405by 34, is
dividedby 18, then theremainder willbe
(1) 8 (2) 9 (3) 3 (4) 5
18. (Thesmallestcommon multipleof36, 54
and60) ÷90isequalto
(1) 10 (2) 12
(3) 5 (4) 6
Solved Paper 2016 11
19.
Sonu has five dozen toffees. Hegave1/3
1
3
of
thesetoAmita,
2
5
ofthesetoAniland
1
12
of
these toHamida. Thenumber oftoffees
leftwith Sonu is
(1) 9 (2) 11 (3) 5 (4) 7
20. If 112ones + 12thousand = + 11012 ........
tens, then thenumber in theblankspaceis
(1) 111 (2) 112
(3) 101 (4) 110
21. 51Land750mLofmilkisfilledin
23bottles, each ofthesamesize. The
quantity ofmilkin 16such bottlesis
(1) 36 L (2) 37 L and 600 mL
(3) 34 L and 400 mL (4) 35 L
22. Adistanceof 1/2 cmon amaprepresents
200kmon theground. Iftwocitiesare1800
kmaparton theground, then their distance
on themapwillbe
(1) 6 cm (2) 9 cm
(3) 3 and 1/2 cm (4) 4 and 1/2 cm
23. Which oneofthefollowing isnotcorrect?
(1) One centimetre is one-hundredth of one
metre
(2) One millilitre is one-hundredth of one litre
(3) One lakh is equal to one hundred thousand
(4) One crore is equal to one hundred lakh
24. Acuboidalbox is13cmlong, 11cmbroad
and9cmhigh. Acubicalbox hasside12cm.
Tanu wantstopack3060cubesofside1cm
in theseboxes. Thenumber ofthecubesleft
unpackedin theseboxesis
(1) 30 (2) 45
(3) 15 (4) 28
25. Thelength andbreadth ofarectangleare
48cmand21cm, respectively. Thesideofa
squareistwo-thirdthelengthofthe
rectangle.Thesumoftheirareas
(insqcm)is
(1) 2032 (2) 2123
(3) 2028 (4) 2030
26. Theproduct672 36 25 × × equals
(1) the number of seconds in 5 days
(2) the number of seconds in 1 week
(3) the number of minutes in 7 weeks
(4) the number of hours in 60 days
27. When fresh fish isdried, itbecomes
one-thirdofitsweight. Savibought2709kg
offresh fish attherateof ` 27per kg and
when dried, she soldthemat ` 97.5per kg.
Sheearnedin all
(1) ` 14899.5 (2) ` 15874.5
(3) ` 14709.5 (4) ` 14789.5
28. Juhitravelledadistanceof16kmby bicycle
atthespeedof15km/h, 20kmby scooter at
thespeedof50km/h and50kmby car at
thespeedof60km/h. Thetotaltime
(in minutes)taken totravelthesedistances
was
(1) 144 (2) 138
(3) 88 (4) 114
29. Which oneofthefollowing isprerequisiteto
understanddecimalrepresentation ofa
number?
(1) Addition (2) Subtraction
(3) Place value (4) Multiplication
30. Thefour fundamentaloperationsin
arithmetic are
(1) addition, division, finding perimeter and area
(2) calculation, computation,  construction  and
forming equation
(3) addition, multiplication, converting fractions
into decimals and construction of regular
shapes
(4) addition, subtraction, multiplication and
division
12 CTET&TETs~Mathematics&Pedagogy
1. (3) Without word problem addition cannot be
explained to the Class II students. e.g. Suppose we
have to teach Class II student that 2 3 + is how much.
First, we asked the student that consider a basket having
two balls then place three more balls in the basket and
then count. The student will start counting and he/she
finds that there are 5 balls in the basket.
? 2 3 5 + =
2. (4) This types of problem belongs to Aggregation.
‘Aggregation’ means gathering of things together.
3. (3) Errors play an important role in Mathematics is a
true statement because the errors gives ideas about
how children construct Mathematical concepts.
4. (3) Abacus is a tool used for calculating numbers
through basic arithmetic system. It can carry out
operations such as counting upto decimal places.
5. (3) Initially, students directly compare lengths of
two objects by placing them side-by-side against
another object. So, observation is best suited method.
6. (4) Students enjoy working on grid puzzles as small,
quick challenges of their mathematical and logical
skills. They can be easily motivated to adopt learning
strategies.
7. (1) Organise and consolidate their Mathematical
thinking through Mathematical communication.
8. (4) According to the NCF, 2005 the chief aim of
Mathematics education is constructive learning. So, to
prepare for higher education in Mathematics is not
part of constructive learning at primary schools.
9. (4) In Mathematics textbooks concept at primary
level presented from concrete to abstract manner.
10. (2) The Van Hiele model have the five levels which
describe how children learn to reason in geometry.
This is in contrast to Piaget's theory of cognitive
development, which is age-dependent. The levels are as
follows
Level 0 : Visualisation
Level 1 : Analysis
Level 2 : Abstraction (Informal Deduction)
Level 3 : Deduction (Formal Deduction)
Level 4 : Rigor (informed deduction)
11. (4) Number sense means an amount of quantity
that could apply to anything. So, zero should be
introduced after children devlop Number sense.
12. (1) First, Teacher divides many types of concrete
materials into halves, then shows pictures representing
‘half ’, then uses story to represent half and then write
symbol for ‘half ’.
13. (3) Initially in class-I and II, Mathematics should
be integrated with other subjects like language, art, etc.
Children will take more interest when they learn
Maths by doing coloring, reading, conceptual stories
etc.
14. (3) Let the blanks space be x.
? 1001 111 110000 11 × = + x
Now, we have to find the value of x.
( ) 1000 1 111 110000 11 + × = + x
?111000 111 110000 11 + = + x
? 111111 110000 11 = + x
? 11 111111 110000 x = - ? 11 1111 x =
? x = =
1111
11
101
15. (4) The place value of 5 in 15201 5000 =
The Place value of 6 in 2659 = 600
Now, from question.
5000 600 7 + = x [let the blank space bex]
? 7 5600 x = ? x = =
5600
7
800
16. (1) Factors of 36 1 2 3 4 6 9 12 18 36 = , , , , , , , ,
Factors of 48 1 2 3 4 3 6 8 12 16 24 48 = , , , , , , , , , ,
?Common factors of 36 and 48 are 1, 2, 3, 4, 6, 12.
From the questions,
1 2 3 4 6 12 999 9 × × × × × = + ×x [let blank space bex]
? 1728 999 9 = + x
? 9 1728 999 729 x = - =
? x = =
729
9
81
17. (1) 39) 26679(684
234
× 327
312
× 159
156
× 3
Remainder = 3
Now, 34) 29405 (864
272
× 220
204
× 165
136
29
sOLVED PAPER 2016 Hints&Solutions
Remainder =29
Difference of above remainders = - = 29 3 26
Now, 18) 26 (1
18
8
18. (4) Smallest common multiple of 36, 54 and 60 is
2 36, 54, 60
2 18, 27, 30
3 9, 27, 15
3 3, 9, 5
1, 3, 5
= × × × × × 2 2 3 3 3 5
=540
Now, from question
90) 540(6
540
×
19. (2) Total number of toffees, Sonu have
= × = 5 12 60
Sonu gave
1
3
of these to Amita
?Number of toffees Sonu gave to Amita
= × =
1
3
60 20
Sonu gave
2
5
of these to Anil
?Number of toffees Sonu gave to Anil
= × =
2
5
60 24
Sonu gave
1
12
of these to Hamida.
?Number of toffees Sonu gave to Hamida
= × =
1
12
60 5
?Total number of toffees Sonu gave to Amita, Anil
and Hamida
= + + 20 24 5 = 49
The number of toffees left with Sonu
= - = 60 49 11
20. (4) According to the question, we can write
( ) ( ) ( ) 112 1 12 1000 11012 10 × + × = + × x Here, we have
to find the value ofx.
? 112 12000 11012 10 + = + x
? 12112 11012 10 = + x
? 10 12112 11012 1100 x = - =
? x = =
1100
10
110
21. (1) 51 L and 750 mL of milk
= × + ( ) 51 1000 750 =51750 mL
?23 bottles are filled with 51750 mL of milk.
?1 bottle is filled with =
51750
23
= 2250 mL
?16 bottles are filled with 2250 16 ×
= 36000 mL of milk = 36 L
22. (4) A distance of 200 km on ground is represented
by
1
2
cm on map.
? A distance of 1 km on ground is
represented by
1 2
200
1
400
/
= cm on map.
? A distance of 1800 km on ground is represented by
1
400
1800 45 × = . cm =4 and1 2 / cm
23. (2) We know, one millilitre is one-thousandth of
one litre.
24. (2) Given, Cuboidal box is 13 cm long, 11 cm
broad and 9 cm high and cubical box has side 12 cm.
Now, volume of cuboidal box = × × 13 11 9 =1287 cm
3
and volume of cubical box =( ) 12
3
=1728 cm
3
Total volume = + 1287 1728 = 3015 cm
3
According to the question,
Tanu wants to pack 3060 cubes of side 1 cm.
Total volume of cubes which Tanu wants to pack
= × = 1 3060 3060 cm
3
But we have only 3015 cm
3
volume to pack 3060 cubes.
?3060 3015 45 - = boxes left unpack
25. (1) Given, the length and breadth of a rectangle are
48 cm and 21 cm respectively.
? Area of rectangle = × 48 21 =1008 cm
2
Given, the side of the square is
2
3
length of rectangle.
Q Side of square = × = 48
2
3
32 cm
and area of square =( ) 32
2
=1024 cm
2
? Sum of areas of rectangle and square
= + 1008 1024 = 2032 cm
2
26. (2) 672 36 25 × ×
Inoneweek 3600 24 7 × × s
[as in 1 h = 3600 s]
= × × × 36 100 24 7
= × × × × 36 25 4 24 7 = × × 36 25 672
= × × 672 36 25 [given]
14 CTET&TETs~Mathematics&Pedagogy