CTET Solved Question Paper - 2 (09 Dec - 2018) | Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET PDF Download

 Page 1


Directions: Answer the following questions by selecting the correct/most appropriate
option(s).
1. If two quantities x and y vary inversely with each other, then which one of the following is true?
(1) Product of their corresponding values remains constant
(2) Summation of their corresponding values remains constant
(3) Difference of their corresponding values remains constant
(4) Ratio of their corresponding values remains constant
2. Given 7y
×6
yyy
Then, the value of y is
(1) 6 (2) 4
(3) 2 (4) 8
3. To fill a rectangular tank of area 700 m
2
, 140 m
3
of water is required. What will be the height of
the water level in the tank?
(1) 20 cm (2) 30 cm
(3) 40 cm (4) 10 cm
4. Which one of the following is the most suitable strategy to teach the skill of addition of money?
(1) Role play (2) Use of models
(3) Doing lots of problems (4) Use of ICT
Mathematics
CTET SOLVED PAPERS
Paper - 2 ( Mathem atics)
09 D ece mber, 201 8
Page 2


Directions: Answer the following questions by selecting the correct/most appropriate
option(s).
1. If two quantities x and y vary inversely with each other, then which one of the following is true?
(1) Product of their corresponding values remains constant
(2) Summation of their corresponding values remains constant
(3) Difference of their corresponding values remains constant
(4) Ratio of their corresponding values remains constant
2. Given 7y
×6
yyy
Then, the value of y is
(1) 6 (2) 4
(3) 2 (4) 8
3. To fill a rectangular tank of area 700 m
2
, 140 m
3
of water is required. What will be the height of
the water level in the tank?
(1) 20 cm (2) 30 cm
(3) 40 cm (4) 10 cm
4. Which one of the following is the most suitable strategy to teach the skill of addition of money?
(1) Role play (2) Use of models
(3) Doing lots of problems (4) Use of ICT
Mathematics
CTET SOLVED PAPERS
Paper - 2 ( Mathem atics)
09 D ece mber, 201 8
5. After teaching the concept of multiplication to
her class, a teacher asked her children to
multiply 48 by 4.
One of her students solved it orally as ‘‘To
multiply 48 by 4, we first add 48 to 48, which
makes 96 and then add another 96 to reach
192. So, the  answer is 192’’.
What can yo say about his/her strategy of
multiplication?
(1) He/She has not understood the concept of
multiplication.
(2) The given problem is a multiplication problem
and not addition problem.
(3) He/She understood multiplication as repeated
addition.
(4) The child used a wrong method to multiply.
He/She has to use the place value algorithm to
multiply the numbers.
6. Which one of the following should be taken up
as initial activity in introducing the concept of
‘time’ to young learners?
(1) Teaching children how to read time in clock
(2) Teaching children how to calculate elapsed time
(3) Conversion of time in different units
(4) Discussing about the prior experiences with
phrases related to time
7. Which one of the following is not the purpose
of assessment?
A. Monitoring student’s growth
B. Making instructional decision
C. Evaluating the effectiveness of curriculum
D. Ranking the children based on performance
Select the correct answer using the codes
given below
(1) D (2) B (3) C (4) A
8. Which one of the following methods is most
suitable for teaching mathematics  at upper
primary level?
(1) Lecture method
(2) Activity-based learning
(3) Problem-solving method
(4) Demonstration method
9. Which one of the following is most essential in
learning mathematics at upper primary level?
(1) Exploring different ways of solving a problem
(2) Memorising all formulas
(3) Copying correctly what teacher writes on the
board
(4) Solving a problem many times
10. The strategy of questioning used in the
mathematics class at upper primary level
(1) makes the classroom noisy as the children
would be taking too much
(2) could create stress among children and may
lead them to accept the teacher’s authority
(3) helps children to express their thoughts or
understanding and think critically
(4) should be discouraged as it demoralises the
child who is unable to answer
11. A teacher has taught measurement of
area to class VIII children, but many of
her students are confused between the
usage of different units of area and
volume. What could be the reason for such
a confusion in children?
(1) The children have not memorised different
units
(2) Different units have been introduced all
together without relating them with daily life
(3) The concept of measurement of area is a
difficult topic for a class VIII learner
(4) The children did not know the use of units
for area
12. Which one of the following can be the
most appropriate aim of encouraging
mathematical  communication in
classroom?
(1) Children who have fear about mathematics
should be able to interact in the class
(2) To organise debates in the class regarding
topics of mathematics
(3) Children should be able to recite theorems
and formulas in mathematics class
(4) Children should be able to use a precise
language while talking about mathematical
statements and using them
13. The purpose of a diagnostic test in
Mathematics is
(1) to give feedback to the parents
(2) to fill the progress report
(3) to plant the question paper for the end term
examination
(4) to know the gaps in children’s understanding
14. Remedial teaching is helpful for
(1) recapitulating the lesson
(2) teaching in play-way method
(3) removing learning difficulties of weak students
(4) teaching the whole class
2
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
Page 3


Directions: Answer the following questions by selecting the correct/most appropriate
option(s).
1. If two quantities x and y vary inversely with each other, then which one of the following is true?
(1) Product of their corresponding values remains constant
(2) Summation of their corresponding values remains constant
(3) Difference of their corresponding values remains constant
(4) Ratio of their corresponding values remains constant
2. Given 7y
×6
yyy
Then, the value of y is
(1) 6 (2) 4
(3) 2 (4) 8
3. To fill a rectangular tank of area 700 m
2
, 140 m
3
of water is required. What will be the height of
the water level in the tank?
(1) 20 cm (2) 30 cm
(3) 40 cm (4) 10 cm
4. Which one of the following is the most suitable strategy to teach the skill of addition of money?
(1) Role play (2) Use of models
(3) Doing lots of problems (4) Use of ICT
Mathematics
CTET SOLVED PAPERS
Paper - 2 ( Mathem atics)
09 D ece mber, 201 8
5. After teaching the concept of multiplication to
her class, a teacher asked her children to
multiply 48 by 4.
One of her students solved it orally as ‘‘To
multiply 48 by 4, we first add 48 to 48, which
makes 96 and then add another 96 to reach
192. So, the  answer is 192’’.
What can yo say about his/her strategy of
multiplication?
(1) He/She has not understood the concept of
multiplication.
(2) The given problem is a multiplication problem
and not addition problem.
(3) He/She understood multiplication as repeated
addition.
(4) The child used a wrong method to multiply.
He/She has to use the place value algorithm to
multiply the numbers.
6. Which one of the following should be taken up
as initial activity in introducing the concept of
‘time’ to young learners?
(1) Teaching children how to read time in clock
(2) Teaching children how to calculate elapsed time
(3) Conversion of time in different units
(4) Discussing about the prior experiences with
phrases related to time
7. Which one of the following is not the purpose
of assessment?
A. Monitoring student’s growth
B. Making instructional decision
C. Evaluating the effectiveness of curriculum
D. Ranking the children based on performance
Select the correct answer using the codes
given below
(1) D (2) B (3) C (4) A
8. Which one of the following methods is most
suitable for teaching mathematics  at upper
primary level?
(1) Lecture method
(2) Activity-based learning
(3) Problem-solving method
(4) Demonstration method
9. Which one of the following is most essential in
learning mathematics at upper primary level?
(1) Exploring different ways of solving a problem
(2) Memorising all formulas
(3) Copying correctly what teacher writes on the
board
(4) Solving a problem many times
10. The strategy of questioning used in the
mathematics class at upper primary level
(1) makes the classroom noisy as the children
would be taking too much
(2) could create stress among children and may
lead them to accept the teacher’s authority
(3) helps children to express their thoughts or
understanding and think critically
(4) should be discouraged as it demoralises the
child who is unable to answer
11. A teacher has taught measurement of
area to class VIII children, but many of
her students are confused between the
usage of different units of area and
volume. What could be the reason for such
a confusion in children?
(1) The children have not memorised different
units
(2) Different units have been introduced all
together without relating them with daily life
(3) The concept of measurement of area is a
difficult topic for a class VIII learner
(4) The children did not know the use of units
for area
12. Which one of the following can be the
most appropriate aim of encouraging
mathematical  communication in
classroom?
(1) Children who have fear about mathematics
should be able to interact in the class
(2) To organise debates in the class regarding
topics of mathematics
(3) Children should be able to recite theorems
and formulas in mathematics class
(4) Children should be able to use a precise
language while talking about mathematical
statements and using them
13. The purpose of a diagnostic test in
Mathematics is
(1) to give feedback to the parents
(2) to fill the progress report
(3) to plant the question paper for the end term
examination
(4) to know the gaps in children’s understanding
14. Remedial teaching is helpful for
(1) recapitulating the lesson
(2) teaching in play-way method
(3) removing learning difficulties of weak students
(4) teaching the whole class
2
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
15. Which one of the following is not a
mathematical process?
(1) Memorisation (2) Estimation
(3) Measurement (4) Visualisation
16. ‘‘ Errors play a crucial role in learning of
Mathematics.’’ This statement is
(1) True, because errors reflect the thinking of child
(2) false, because mathematics is exact
(3) true, because errors provide feedback about the
marks they obtained
(4) false, because errors occur due to carelessness
17. While teaching ‘shapes’, a teacher can plan
a trip to historical places, as
A. it needs to provide leisure time as most of
the syllabus has been completed in time.
B. it would be an opportunity to improve
communication skill.
C. shapes are an integral part of every
architecture and such trips encourage
connections across disciplines.
D. Field trips are recommended by Education
Board, so must be organised.
Select the correct answer using the codes
given below.
(1) C (2) B and C
(3) A , C and D (4) A and B
18. A student was asked to calculate the
surface area of a cube.
He calculated the volume.
The reason (s) of error in calculation is/are
A. the student finds the class boring as he
does not like Mathematics class
B. the student is not fit to study in that class
C. the student is not able to understand the
concept of surface area and volume
D. The student has understood the concept of
surface area and volume
Select the correct answer using the codes
given below.
(1) B and C (2) D (3) A and B (4) C
19. In a meeting,
4
25
of the members were female.
What per cent of the members was this?
(1) 24% (2) 16% (3) 4% (4) 40%
20. A shop reduced its prices by 10%. What is
the new price of an item which was
previously sold for` 500?
(1)` 550 (2)` 450 (3)` 400 (4)` 510
21. Given below is a data set of temperatures
(in °C)
–6, –8, –2, 3, 2, 0, 5, 4, 8.
What is the range of the data?
(1) 16 °C (2) 18 °C
(3) 10 °C (4) 0 °C
22. A coin is tossed 10 times and the outcomes
are observed as
H, T, H, T, T, H, H, T, H, H
(H is Head; T is Tail)
What is the probability of getting Head?
(1)
4
5
(2)
2
5
(3)
1
5
(4)
3
5
23. The numerical expression
3
7
7
8
25
56
+
-
=
( )
shows that
(1) rational numbers are closed under subtraction
(2) rational numbers are closed under multiplication
(3) rational numbers are closed under division
(4) rational numbers are closed under addition
24. Which one of the following 3D shapes does
not have a vertex?
(1) Prism (2) Cone
(3) Sphere (4) Pyramid
25. If
5
7
5
7
5
7
4 3 5 2
?
?
?
?
?
? ×
?
?
?
?
?
? =
?
?
?
?
?
?
- - x
, then x is equal to
(1)
2
5
(2)
3
5
(3)
4
5
(4)
1
5
26. Let a b c , , be three rational numbers, where
a b = =
3
5
2
3
, and c =
-5
6
, which one of the
following is true?
(1)a b c b a c ÷ + = ÷ + ( ) ( )(2)
a b c c a b + + = + + ( ) ( )
(3)a b c c a b - - = - - ( ) ( )(4)a b c b a c × + = × + ( ) ( )
27. A geometric representation, showing the
relationship between a whole and its part, is
(1) pie chart (2) bar graph
(3) pictograph (4) histogram
28. The value of 91 70 121 + + is
(1) 10 (2) 11 (3) 12 (4) 9
3
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
Page 4


Directions: Answer the following questions by selecting the correct/most appropriate
option(s).
1. If two quantities x and y vary inversely with each other, then which one of the following is true?
(1) Product of their corresponding values remains constant
(2) Summation of their corresponding values remains constant
(3) Difference of their corresponding values remains constant
(4) Ratio of their corresponding values remains constant
2. Given 7y
×6
yyy
Then, the value of y is
(1) 6 (2) 4
(3) 2 (4) 8
3. To fill a rectangular tank of area 700 m
2
, 140 m
3
of water is required. What will be the height of
the water level in the tank?
(1) 20 cm (2) 30 cm
(3) 40 cm (4) 10 cm
4. Which one of the following is the most suitable strategy to teach the skill of addition of money?
(1) Role play (2) Use of models
(3) Doing lots of problems (4) Use of ICT
Mathematics
CTET SOLVED PAPERS
Paper - 2 ( Mathem atics)
09 D ece mber, 201 8
5. After teaching the concept of multiplication to
her class, a teacher asked her children to
multiply 48 by 4.
One of her students solved it orally as ‘‘To
multiply 48 by 4, we first add 48 to 48, which
makes 96 and then add another 96 to reach
192. So, the  answer is 192’’.
What can yo say about his/her strategy of
multiplication?
(1) He/She has not understood the concept of
multiplication.
(2) The given problem is a multiplication problem
and not addition problem.
(3) He/She understood multiplication as repeated
addition.
(4) The child used a wrong method to multiply.
He/She has to use the place value algorithm to
multiply the numbers.
6. Which one of the following should be taken up
as initial activity in introducing the concept of
‘time’ to young learners?
(1) Teaching children how to read time in clock
(2) Teaching children how to calculate elapsed time
(3) Conversion of time in different units
(4) Discussing about the prior experiences with
phrases related to time
7. Which one of the following is not the purpose
of assessment?
A. Monitoring student’s growth
B. Making instructional decision
C. Evaluating the effectiveness of curriculum
D. Ranking the children based on performance
Select the correct answer using the codes
given below
(1) D (2) B (3) C (4) A
8. Which one of the following methods is most
suitable for teaching mathematics  at upper
primary level?
(1) Lecture method
(2) Activity-based learning
(3) Problem-solving method
(4) Demonstration method
9. Which one of the following is most essential in
learning mathematics at upper primary level?
(1) Exploring different ways of solving a problem
(2) Memorising all formulas
(3) Copying correctly what teacher writes on the
board
(4) Solving a problem many times
10. The strategy of questioning used in the
mathematics class at upper primary level
(1) makes the classroom noisy as the children
would be taking too much
(2) could create stress among children and may
lead them to accept the teacher’s authority
(3) helps children to express their thoughts or
understanding and think critically
(4) should be discouraged as it demoralises the
child who is unable to answer
11. A teacher has taught measurement of
area to class VIII children, but many of
her students are confused between the
usage of different units of area and
volume. What could be the reason for such
a confusion in children?
(1) The children have not memorised different
units
(2) Different units have been introduced all
together without relating them with daily life
(3) The concept of measurement of area is a
difficult topic for a class VIII learner
(4) The children did not know the use of units
for area
12. Which one of the following can be the
most appropriate aim of encouraging
mathematical  communication in
classroom?
(1) Children who have fear about mathematics
should be able to interact in the class
(2) To organise debates in the class regarding
topics of mathematics
(3) Children should be able to recite theorems
and formulas in mathematics class
(4) Children should be able to use a precise
language while talking about mathematical
statements and using them
13. The purpose of a diagnostic test in
Mathematics is
(1) to give feedback to the parents
(2) to fill the progress report
(3) to plant the question paper for the end term
examination
(4) to know the gaps in children’s understanding
14. Remedial teaching is helpful for
(1) recapitulating the lesson
(2) teaching in play-way method
(3) removing learning difficulties of weak students
(4) teaching the whole class
2
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
15. Which one of the following is not a
mathematical process?
(1) Memorisation (2) Estimation
(3) Measurement (4) Visualisation
16. ‘‘ Errors play a crucial role in learning of
Mathematics.’’ This statement is
(1) True, because errors reflect the thinking of child
(2) false, because mathematics is exact
(3) true, because errors provide feedback about the
marks they obtained
(4) false, because errors occur due to carelessness
17. While teaching ‘shapes’, a teacher can plan
a trip to historical places, as
A. it needs to provide leisure time as most of
the syllabus has been completed in time.
B. it would be an opportunity to improve
communication skill.
C. shapes are an integral part of every
architecture and such trips encourage
connections across disciplines.
D. Field trips are recommended by Education
Board, so must be organised.
Select the correct answer using the codes
given below.
(1) C (2) B and C
(3) A , C and D (4) A and B
18. A student was asked to calculate the
surface area of a cube.
He calculated the volume.
The reason (s) of error in calculation is/are
A. the student finds the class boring as he
does not like Mathematics class
B. the student is not fit to study in that class
C. the student is not able to understand the
concept of surface area and volume
D. The student has understood the concept of
surface area and volume
Select the correct answer using the codes
given below.
(1) B and C (2) D (3) A and B (4) C
19. In a meeting,
4
25
of the members were female.
What per cent of the members was this?
(1) 24% (2) 16% (3) 4% (4) 40%
20. A shop reduced its prices by 10%. What is
the new price of an item which was
previously sold for` 500?
(1)` 550 (2)` 450 (3)` 400 (4)` 510
21. Given below is a data set of temperatures
(in °C)
–6, –8, –2, 3, 2, 0, 5, 4, 8.
What is the range of the data?
(1) 16 °C (2) 18 °C
(3) 10 °C (4) 0 °C
22. A coin is tossed 10 times and the outcomes
are observed as
H, T, H, T, T, H, H, T, H, H
(H is Head; T is Tail)
What is the probability of getting Head?
(1)
4
5
(2)
2
5
(3)
1
5
(4)
3
5
23. The numerical expression
3
7
7
8
25
56
+
-
=
( )
shows that
(1) rational numbers are closed under subtraction
(2) rational numbers are closed under multiplication
(3) rational numbers are closed under division
(4) rational numbers are closed under addition
24. Which one of the following 3D shapes does
not have a vertex?
(1) Prism (2) Cone
(3) Sphere (4) Pyramid
25. If
5
7
5
7
5
7
4 3 5 2
?
?
?
?
?
? ×
?
?
?
?
?
? =
?
?
?
?
?
?
- - x
, then x is equal to
(1)
2
5
(2)
3
5
(3)
4
5
(4)
1
5
26. Let a b c , , be three rational numbers, where
a b = =
3
5
2
3
, and c =
-5
6
, which one of the
following is true?
(1)a b c b a c ÷ + = ÷ + ( ) ( )(2)
a b c c a b + + = + + ( ) ( )
(3)a b c c a b - - = - - ( ) ( )(4)a b c b a c × + = × + ( ) ( )
27. A geometric representation, showing the
relationship between a whole and its part, is
(1) pie chart (2) bar graph
(3) pictograph (4) histogram
28. The value of 91 70 121 + + is
(1) 10 (2) 11 (3) 12 (4) 9
3
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
29. If q is the square of a natural number p,
then p is
(1) the square root ofq
(2) equal toq
(3) greater thanq
(4) the square ofq
30. In a park, 784 plants are arranged, so that
number of plants in a row is same as the
number of rows. The number of plants in
each row is
(1) 28 (2) 38 (3) 48 (4) 18
ANSWERS
1. (1) Given,x
y
?
1
? x
k
y
= [Qk = constant]
? k xy = … (i)
Again, y
x
?
1
? y
m
x
= [Qm = constant]
? m xy = … (ii)
From Eqs. (i) and (ii), we getk m =
Hence, product of their corresponding values remains
constant.
2. (2) By option (1), if y = 6, than
7 6
6
456
×
By option (2), if y = 4, then
7 4
6
444
×
Hence, option (2) is correct.
3. (1) Given, volume of tank = 140 m
3
and area of tank = 700 m
2
Q Volume of tank = Area of tank × Height
? 140 700 = × Height
?Height = =
140
700
1
5
m = ×
1
5
100 cm = 20 cm
4. (1) Role play is a strategy that allows students to
explore realistic situations by interacting with other people
in a managed way in order to develop experience and trial
different strategies in a supported environment. So,
‘Role-play’ is the most suitable strategy to teach the skill
of addition of money.
5. (3) We know that, the answer obtained by multipling 48
to 4 ( ) 48 4 192 × = can also be obtained by adding 48, 4
times ( ) 48 48 48 48 192 + + + = . Hence, the student learn
the multiplication of numbers by repeated addition.
6. (4) Discussing about the prior experiences with phrases
related to time in the best initial activity in introducing the
concept of ‘time’ to young learners.
7. (1) Ranking the children based on performance is not
the purpose of assessment. Assessment has important place
in education system. Assessment shows us the capability
of a student to achieve his aim.
8. (3) Problem-solving method is most suitable for
teaching mathematics at upper primary level. In this,
students are inspired to solve the different problem by
their evolution capability.
9. (1) Exploring different ways of solving a problem is most
essential in learning mathematics at upper primary level.
10. (3) The strategy of questioning used in the mathematics
class at upper primary level helps children to express their
thought or understanding and think critically.
11. (2) A teacher has taught measurement of area to class
VIII children, but many of her students are confused
between the usage of different units of area and volume.
The reason for such a confusion in children are different
units have been introduced all together without relating
them with their daily life.
4
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
1 (1) 2 (2) 3 (1) 4 (1) 5 (3) 6 (4) 7 (1) 8 (3) 9 (1) 10 (3)
11 (2) 12 (4) 13 (4) 14 (3) 15 (1) 16 (3) 17 (1) 18 (4) 19 (2) 20 (2)
21 (1) 22 (4) 23 (4) 24 (3) 25 (2) 26 (2) 27 (1) 28 (1) 29 (1) 30 (1)
sOLVED PAPER 2018 Hints&Solutions
Page 5


Directions: Answer the following questions by selecting the correct/most appropriate
option(s).
1. If two quantities x and y vary inversely with each other, then which one of the following is true?
(1) Product of their corresponding values remains constant
(2) Summation of their corresponding values remains constant
(3) Difference of their corresponding values remains constant
(4) Ratio of their corresponding values remains constant
2. Given 7y
×6
yyy
Then, the value of y is
(1) 6 (2) 4
(3) 2 (4) 8
3. To fill a rectangular tank of area 700 m
2
, 140 m
3
of water is required. What will be the height of
the water level in the tank?
(1) 20 cm (2) 30 cm
(3) 40 cm (4) 10 cm
4. Which one of the following is the most suitable strategy to teach the skill of addition of money?
(1) Role play (2) Use of models
(3) Doing lots of problems (4) Use of ICT
Mathematics
CTET SOLVED PAPERS
Paper - 2 ( Mathem atics)
09 D ece mber, 201 8
5. After teaching the concept of multiplication to
her class, a teacher asked her children to
multiply 48 by 4.
One of her students solved it orally as ‘‘To
multiply 48 by 4, we first add 48 to 48, which
makes 96 and then add another 96 to reach
192. So, the  answer is 192’’.
What can yo say about his/her strategy of
multiplication?
(1) He/She has not understood the concept of
multiplication.
(2) The given problem is a multiplication problem
and not addition problem.
(3) He/She understood multiplication as repeated
addition.
(4) The child used a wrong method to multiply.
He/She has to use the place value algorithm to
multiply the numbers.
6. Which one of the following should be taken up
as initial activity in introducing the concept of
‘time’ to young learners?
(1) Teaching children how to read time in clock
(2) Teaching children how to calculate elapsed time
(3) Conversion of time in different units
(4) Discussing about the prior experiences with
phrases related to time
7. Which one of the following is not the purpose
of assessment?
A. Monitoring student’s growth
B. Making instructional decision
C. Evaluating the effectiveness of curriculum
D. Ranking the children based on performance
Select the correct answer using the codes
given below
(1) D (2) B (3) C (4) A
8. Which one of the following methods is most
suitable for teaching mathematics  at upper
primary level?
(1) Lecture method
(2) Activity-based learning
(3) Problem-solving method
(4) Demonstration method
9. Which one of the following is most essential in
learning mathematics at upper primary level?
(1) Exploring different ways of solving a problem
(2) Memorising all formulas
(3) Copying correctly what teacher writes on the
board
(4) Solving a problem many times
10. The strategy of questioning used in the
mathematics class at upper primary level
(1) makes the classroom noisy as the children
would be taking too much
(2) could create stress among children and may
lead them to accept the teacher’s authority
(3) helps children to express their thoughts or
understanding and think critically
(4) should be discouraged as it demoralises the
child who is unable to answer
11. A teacher has taught measurement of
area to class VIII children, but many of
her students are confused between the
usage of different units of area and
volume. What could be the reason for such
a confusion in children?
(1) The children have not memorised different
units
(2) Different units have been introduced all
together without relating them with daily life
(3) The concept of measurement of area is a
difficult topic for a class VIII learner
(4) The children did not know the use of units
for area
12. Which one of the following can be the
most appropriate aim of encouraging
mathematical  communication in
classroom?
(1) Children who have fear about mathematics
should be able to interact in the class
(2) To organise debates in the class regarding
topics of mathematics
(3) Children should be able to recite theorems
and formulas in mathematics class
(4) Children should be able to use a precise
language while talking about mathematical
statements and using them
13. The purpose of a diagnostic test in
Mathematics is
(1) to give feedback to the parents
(2) to fill the progress report
(3) to plant the question paper for the end term
examination
(4) to know the gaps in children’s understanding
14. Remedial teaching is helpful for
(1) recapitulating the lesson
(2) teaching in play-way method
(3) removing learning difficulties of weak students
(4) teaching the whole class
2
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
15. Which one of the following is not a
mathematical process?
(1) Memorisation (2) Estimation
(3) Measurement (4) Visualisation
16. ‘‘ Errors play a crucial role in learning of
Mathematics.’’ This statement is
(1) True, because errors reflect the thinking of child
(2) false, because mathematics is exact
(3) true, because errors provide feedback about the
marks they obtained
(4) false, because errors occur due to carelessness
17. While teaching ‘shapes’, a teacher can plan
a trip to historical places, as
A. it needs to provide leisure time as most of
the syllabus has been completed in time.
B. it would be an opportunity to improve
communication skill.
C. shapes are an integral part of every
architecture and such trips encourage
connections across disciplines.
D. Field trips are recommended by Education
Board, so must be organised.
Select the correct answer using the codes
given below.
(1) C (2) B and C
(3) A , C and D (4) A and B
18. A student was asked to calculate the
surface area of a cube.
He calculated the volume.
The reason (s) of error in calculation is/are
A. the student finds the class boring as he
does not like Mathematics class
B. the student is not fit to study in that class
C. the student is not able to understand the
concept of surface area and volume
D. The student has understood the concept of
surface area and volume
Select the correct answer using the codes
given below.
(1) B and C (2) D (3) A and B (4) C
19. In a meeting,
4
25
of the members were female.
What per cent of the members was this?
(1) 24% (2) 16% (3) 4% (4) 40%
20. A shop reduced its prices by 10%. What is
the new price of an item which was
previously sold for` 500?
(1)` 550 (2)` 450 (3)` 400 (4)` 510
21. Given below is a data set of temperatures
(in °C)
–6, –8, –2, 3, 2, 0, 5, 4, 8.
What is the range of the data?
(1) 16 °C (2) 18 °C
(3) 10 °C (4) 0 °C
22. A coin is tossed 10 times and the outcomes
are observed as
H, T, H, T, T, H, H, T, H, H
(H is Head; T is Tail)
What is the probability of getting Head?
(1)
4
5
(2)
2
5
(3)
1
5
(4)
3
5
23. The numerical expression
3
7
7
8
25
56
+
-
=
( )
shows that
(1) rational numbers are closed under subtraction
(2) rational numbers are closed under multiplication
(3) rational numbers are closed under division
(4) rational numbers are closed under addition
24. Which one of the following 3D shapes does
not have a vertex?
(1) Prism (2) Cone
(3) Sphere (4) Pyramid
25. If
5
7
5
7
5
7
4 3 5 2
?
?
?
?
?
? ×
?
?
?
?
?
? =
?
?
?
?
?
?
- - x
, then x is equal to
(1)
2
5
(2)
3
5
(3)
4
5
(4)
1
5
26. Let a b c , , be three rational numbers, where
a b = =
3
5
2
3
, and c =
-5
6
, which one of the
following is true?
(1)a b c b a c ÷ + = ÷ + ( ) ( )(2)
a b c c a b + + = + + ( ) ( )
(3)a b c c a b - - = - - ( ) ( )(4)a b c b a c × + = × + ( ) ( )
27. A geometric representation, showing the
relationship between a whole and its part, is
(1) pie chart (2) bar graph
(3) pictograph (4) histogram
28. The value of 91 70 121 + + is
(1) 10 (2) 11 (3) 12 (4) 9
3
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
29. If q is the square of a natural number p,
then p is
(1) the square root ofq
(2) equal toq
(3) greater thanq
(4) the square ofq
30. In a park, 784 plants are arranged, so that
number of plants in a row is same as the
number of rows. The number of plants in
each row is
(1) 28 (2) 38 (3) 48 (4) 18
ANSWERS
1. (1) Given,x
y
?
1
? x
k
y
= [Qk = constant]
? k xy = … (i)
Again, y
x
?
1
? y
m
x
= [Qm = constant]
? m xy = … (ii)
From Eqs. (i) and (ii), we getk m =
Hence, product of their corresponding values remains
constant.
2. (2) By option (1), if y = 6, than
7 6
6
456
×
By option (2), if y = 4, then
7 4
6
444
×
Hence, option (2) is correct.
3. (1) Given, volume of tank = 140 m
3
and area of tank = 700 m
2
Q Volume of tank = Area of tank × Height
? 140 700 = × Height
?Height = =
140
700
1
5
m = ×
1
5
100 cm = 20 cm
4. (1) Role play is a strategy that allows students to
explore realistic situations by interacting with other people
in a managed way in order to develop experience and trial
different strategies in a supported environment. So,
‘Role-play’ is the most suitable strategy to teach the skill
of addition of money.
5. (3) We know that, the answer obtained by multipling 48
to 4 ( ) 48 4 192 × = can also be obtained by adding 48, 4
times ( ) 48 48 48 48 192 + + + = . Hence, the student learn
the multiplication of numbers by repeated addition.
6. (4) Discussing about the prior experiences with phrases
related to time in the best initial activity in introducing the
concept of ‘time’ to young learners.
7. (1) Ranking the children based on performance is not
the purpose of assessment. Assessment has important place
in education system. Assessment shows us the capability
of a student to achieve his aim.
8. (3) Problem-solving method is most suitable for
teaching mathematics at upper primary level. In this,
students are inspired to solve the different problem by
their evolution capability.
9. (1) Exploring different ways of solving a problem is most
essential in learning mathematics at upper primary level.
10. (3) The strategy of questioning used in the mathematics
class at upper primary level helps children to express their
thought or understanding and think critically.
11. (2) A teacher has taught measurement of area to class
VIII children, but many of her students are confused
between the usage of different units of area and volume.
The reason for such a confusion in children are different
units have been introduced all together without relating
them with their daily life.
4
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)
1 (1) 2 (2) 3 (1) 4 (1) 5 (3) 6 (4) 7 (1) 8 (3) 9 (1) 10 (3)
11 (2) 12 (4) 13 (4) 14 (3) 15 (1) 16 (3) 17 (1) 18 (4) 19 (2) 20 (2)
21 (1) 22 (4) 23 (4) 24 (3) 25 (2) 26 (2) 27 (1) 28 (1) 29 (1) 30 (1)
sOLVED PAPER 2018 Hints&Solutions
12. (4) Children should be able to use a precise language
while talking about mathematical statements and using
them is the most appropriate aim of encouraging
mathematical communication in classroom.
13. (4) The purpose of a diagnostic test in Mathematics
is to know the gaps in children’s understanding.
Diagnostic test is very helpful to solve mathematical
problem in class.
14. (3) Remedial teaching is helpful for removing
learning difficulties of weak students. Weaker students
in Mathematics can be taken with normal students by
remedial teaching.
15. (1) ‘Memorisation’ is not a mathematical process.
Mathematics subject based on practice because it has
concept.
16. (3) “Errors play a crucial role in learning of
Mathematics”. This statement is completely true, because
errors provide feedback about the marks they obtained.
17. (1) While teaching ‘shapes’, a teacher can plan a trip to
historical places, as shapes are an integral part of every
architecture and such trips encourage connections across
disciplines.
18. (4) The student is not able to understand the
concept of surface area and volume. So, the student find
volume besides of area.
19. (2) Let the total number of members in meeting = x
Then, the total number of females in meeting =
4
25
x
?Required percentage
= ×
Number of females
Total Number of members
100%
= ×
4
25
100
x
x
% = 16%
20. (2) Given, original price of an item =` 500
and reduced percentage = 10%
?New price of item = Original price
× - ( ) 100
100
Reduced percentage
= ×
-
500
100 10
100
( )
= × = 500
90
100
450 `
21. (1) Required range
= Maximum value - Minimum value
= - - 8 8 ( ) = + = 8 8 16ºC
22. (4) Given, out comes are
H T H T T H H T H H , , , , , , , , ,
Number of favourable outcomes,n E ( ) = 6
Total number of possible outcomes,n S ( ) = 10
?Required probability = = =
n E
n S
( )
( )
6
10
3
5
23. (4) The numerical expression
3
7
7
8
25
56
+
-
=
( )
shows
that rational numbers are closed under addition.
24. (3) In 3D shapes, sphere does not have a vertex.
25. (2)
5
7
5
7
5
7
4 3 5 2
?
?
?
?
?
? ×
?
?
?
?
?
? =
?
?
?
?
?
?
- - x
?
5
7
5
7
4 3 5 2
?
?
?
?
?
? =
?
?
?
?
?
?
- - x
[ ] Qa a a
m n m n
× =
+
On comparing, we set
1 5 2 = - x ? 5 3 x = ? x =
3
5
26. (2) By option (1),a b c b a c ÷ + = ÷ + ( ) ( )
?
3
5
2
3
5
6
2
3
3
5
5
6
÷ -
?
?
?
?
?
? = ÷ -
?
?
?
?
?
?
?
3
5
12 15
18
2
3
18 25
30
÷
- ?
?
?
?
?
? = ÷
- ?
?
?
?
?
?
?
3
5
3
18
2
3
7
30
÷ -
?
?
?
?
?
? = ÷ -
?
?
?
?
?
?
?
3
5
18
3
2
3
30
7
× -
?
?
?
?
?
? = × -
?
?
?
?
?
? ? - ? -
18
5
20
7
By option (2),a b c c a b + + = + + ( ) ( )
?
3
5
2
3
5
6
5
6
3
5
2
3
+ -
?
?
?
?
?
? = - + +
?
?
?
?
?
?
?
3
5
4 5
6
5
6
9 10
15
+
- ?
?
?
?
?
? = - +
+ ?
?
?
?
?
?
?
3
5
1
6
5
6
19
15
- = - +
?
18 5
30
25 38
30
-
=
- +
? 13 13 =
27. (1) A geometric representation, showing the relationship
between a whole and its part is known as pie chart.
28. (1) 91 70 121 + + = + + 91 70 11
= + 91 81= + 91 9 = 100 = 10
29. (1) According to the question, p q
2
= ?p q =
Hence, p is square root ofq.
30. (1) Required number of plants in each row
= 784 = × × × × × 2 2 2 2 7 7 = × × 2 2 7 = 28
5
CTET SOLVED PAPER(DEC2018)PAPERII (CLASS VI-VIII)