CTET Solved Question Paper - 1 (18 Sep - 2016) | 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 option.
1. The majority of Class IV learners think that
multiplication of two numbers always results in a
number which is bigger than both the numbers.
How will you show that it is always not the case?
(1) By showing the multiplication algorithm of one whole
number and a fraction on a number line
(2) By showing it through repeated addition of numbers
(3) By showing the multiplication algorithm of two
decimal numbers
(4) By showing on a grid paper the multiplication of two
decimal numbers
2. Which of the following statements is true in the
context of teaching ‘measurement’ to primary
class students?
(1) Standard measures should be followed by
non-standard measures
(2) Non-standard measures should be followed by
standard measures
(3) Only non-standard measures should be used
(4) Non-standard measures should not be
used
3. Which of the following assessment
strategies can be used to make
connections of Mathematics with real
life and promote inter-disciplinarity?
(1) Field trip, oral test, drill worksheet
(2) Survey, project, checklist
(3) Field trip, oral test, checklist
(4) Field trip, survey, project
4. Which of the following can be used as
learning resources for visually
challenged in a Mathematics
classroom?
(1) Taylor’s abacus, fraction kit, number chart
(2) Number chart, computer, geoboard
(3) Taylor’s abacus, computer, geoboard
(4) Computer, number chart, geoboard
CTET SOLVED PAPER S
Paper - 1 (Mathem atics)
1 8 S e p t ember, 2016
Page 2


Directions (Q. Nos. 1-30) Answer the following questions by selecting the correct/most
appropriate option.
1. The majority of Class IV learners think that
multiplication of two numbers always results in a
number which is bigger than both the numbers.
How will you show that it is always not the case?
(1) By showing the multiplication algorithm of one whole
number and a fraction on a number line
(2) By showing it through repeated addition of numbers
(3) By showing the multiplication algorithm of two
decimal numbers
(4) By showing on a grid paper the multiplication of two
decimal numbers
2. Which of the following statements is true in the
context of teaching ‘measurement’ to primary
class students?
(1) Standard measures should be followed by
non-standard measures
(2) Non-standard measures should be followed by
standard measures
(3) Only non-standard measures should be used
(4) Non-standard measures should not be
used
3. Which of the following assessment
strategies can be used to make
connections of Mathematics with real
life and promote inter-disciplinarity?
(1) Field trip, oral test, drill worksheet
(2) Survey, project, checklist
(3) Field trip, oral test, checklist
(4) Field trip, survey, project
4. Which of the following can be used as
learning resources for visually
challenged in a Mathematics
classroom?
(1) Taylor’s abacus, fraction kit, number chart
(2) Number chart, computer, geoboard
(3) Taylor’s abacus, computer, geoboard
(4) Computer, number chart, geoboard
CTET SOLVED PAPER S
Paper - 1 (Mathem atics)
1 8 S e p t ember, 2016
04 CTET&TETs~Mathematics&Pedagogy
5. In the context of ‘numbers’, primary class
children i.e. the children in age group 8-9
years, are able to accomplish which one of
the following sets?
(1) Classification, reversibility, proportional
reasoning
(2) Seriation, reversibility, proportional reasoning
(3) Seriation, classification, proportional reasoning
(4) Seriation, classification, reversibility
6. A teacher of Class I asks a student to count
the total number of objects in a collection of
pens, erasers and sharpners. The student
put all the objects in a line and starts
counting. He says that there are 2 pens, 5
erasers and 3 sharpners instead of 10
objects. In which principle/ principles of
counting do you think that the student is
facing difficulty?
(1) Abstraction and order irrelevance principles
(2) Stable order and abstraction principles
(3) One-to-one correspondence principle
(4) Abstraction principle
7. A teacher of Class II asks her students to
write 4 ones and 3 tens. Some students
write as 43 instead of 34. As a teacher, how
will you help the students in understanding
the concept?
(1) Always teach by column method of tens and
ones to avoid confusion
(2) Give a lot of questions to practise in column
method
(3) Ask the students to represent on abacus and
then write
(4) Tell them it is wrong and ask them to write the
correct answer 5 times
8. Which of the following statements is not
true about ‘mapping’ in Mathematics?
(1) Mapping strengthens spatial thinking
(2) Mapping promotes proportional reasoning
(3) Mapping is not part of Mathematics curriculum
(4) Mapping can be integrated in many topics of
Mathematics
9. Which of the following aspects of ‘shapes’ is
not dealt with at primary level?
(1) Pattern (2) Angle
(3) Symmetry (4) Tessellation
10. The Mathematical games and puzzles help in
A. developing a positive attitude towards
Mathematics.
B. making connection between
Mathematics and everyday thinking.
C. making Mathematics enjoyable.
D. promoting problem-solving skills
Select the correct option
(1) A, B and C (2) A, B, C and D
(3) A and B (4) A and D
11. A given rectangle and a parallelogram have
the same area. However, many Class IV
students respond that the parallelogram has
a larger area. How can a teacher help the
students to understand that their areas are
the same?
(1) Using paper folding (2) Using scale
(3) Using a geoboard (4) Using a graph paper
12. Which of the following is not an objective of
teaching Mathematics at primary level
according to NCF, 2005?
(1) Preparing for learning higher and abstract
Mathematics
(2) Making Mathematics part of child’s life
experiences
(3) Promoting problem-solving and
problem-posing skills
(4) Promoting logical thinking
13. The difference between the place value of 5
in 29503 and the face value of 7 in 32071 is
(1) 430 (2) 493 (3) 2 (4) 43
14. If 30028 28 = ones + 28 thousand + ………
tens, then the number in the blank space is
(1) 200 (2) 280 (3) 28 (4) 128
15. When the remainder obtained on dividing
80808 by 108 is divided by the remainder
obtained on dividing 90909 by 109, then the
quotient is
(1) 8 (2) 12 (3) 3 (4) 6
16. If 603 28 63 4 × = × × ………, then the
number in the blank space is
(1) 63 (2) 67 (3) 21 (4) 28
17. (The smallest common multiple of 30, 45 and
60 between 200 and 400) ÷ (The largest
common factor of 15, 24 and 45) is equal to
(1) 120 (2) 180 (3) 60 (4) 90
18. A number is smaller than half of one
hundred and lies between 4 tens and 5 tens.
Ones digit is one less than tens digit. If the
sum of digits is 7, then the product of the
digits in the number is
(1) 20 (2) 24 (3) 12 (4) 16
Page 3


Directions (Q. Nos. 1-30) Answer the following questions by selecting the correct/most
appropriate option.
1. The majority of Class IV learners think that
multiplication of two numbers always results in a
number which is bigger than both the numbers.
How will you show that it is always not the case?
(1) By showing the multiplication algorithm of one whole
number and a fraction on a number line
(2) By showing it through repeated addition of numbers
(3) By showing the multiplication algorithm of two
decimal numbers
(4) By showing on a grid paper the multiplication of two
decimal numbers
2. Which of the following statements is true in the
context of teaching ‘measurement’ to primary
class students?
(1) Standard measures should be followed by
non-standard measures
(2) Non-standard measures should be followed by
standard measures
(3) Only non-standard measures should be used
(4) Non-standard measures should not be
used
3. Which of the following assessment
strategies can be used to make
connections of Mathematics with real
life and promote inter-disciplinarity?
(1) Field trip, oral test, drill worksheet
(2) Survey, project, checklist
(3) Field trip, oral test, checklist
(4) Field trip, survey, project
4. Which of the following can be used as
learning resources for visually
challenged in a Mathematics
classroom?
(1) Taylor’s abacus, fraction kit, number chart
(2) Number chart, computer, geoboard
(3) Taylor’s abacus, computer, geoboard
(4) Computer, number chart, geoboard
CTET SOLVED PAPER S
Paper - 1 (Mathem atics)
1 8 S e p t ember, 2016
04 CTET&TETs~Mathematics&Pedagogy
5. In the context of ‘numbers’, primary class
children i.e. the children in age group 8-9
years, are able to accomplish which one of
the following sets?
(1) Classification, reversibility, proportional
reasoning
(2) Seriation, reversibility, proportional reasoning
(3) Seriation, classification, proportional reasoning
(4) Seriation, classification, reversibility
6. A teacher of Class I asks a student to count
the total number of objects in a collection of
pens, erasers and sharpners. The student
put all the objects in a line and starts
counting. He says that there are 2 pens, 5
erasers and 3 sharpners instead of 10
objects. In which principle/ principles of
counting do you think that the student is
facing difficulty?
(1) Abstraction and order irrelevance principles
(2) Stable order and abstraction principles
(3) One-to-one correspondence principle
(4) Abstraction principle
7. A teacher of Class II asks her students to
write 4 ones and 3 tens. Some students
write as 43 instead of 34. As a teacher, how
will you help the students in understanding
the concept?
(1) Always teach by column method of tens and
ones to avoid confusion
(2) Give a lot of questions to practise in column
method
(3) Ask the students to represent on abacus and
then write
(4) Tell them it is wrong and ask them to write the
correct answer 5 times
8. Which of the following statements is not
true about ‘mapping’ in Mathematics?
(1) Mapping strengthens spatial thinking
(2) Mapping promotes proportional reasoning
(3) Mapping is not part of Mathematics curriculum
(4) Mapping can be integrated in many topics of
Mathematics
9. Which of the following aspects of ‘shapes’ is
not dealt with at primary level?
(1) Pattern (2) Angle
(3) Symmetry (4) Tessellation
10. The Mathematical games and puzzles help in
A. developing a positive attitude towards
Mathematics.
B. making connection between
Mathematics and everyday thinking.
C. making Mathematics enjoyable.
D. promoting problem-solving skills
Select the correct option
(1) A, B and C (2) A, B, C and D
(3) A and B (4) A and D
11. A given rectangle and a parallelogram have
the same area. However, many Class IV
students respond that the parallelogram has
a larger area. How can a teacher help the
students to understand that their areas are
the same?
(1) Using paper folding (2) Using scale
(3) Using a geoboard (4) Using a graph paper
12. Which of the following is not an objective of
teaching Mathematics at primary level
according to NCF, 2005?
(1) Preparing for learning higher and abstract
Mathematics
(2) Making Mathematics part of child’s life
experiences
(3) Promoting problem-solving and
problem-posing skills
(4) Promoting logical thinking
13. The difference between the place value of 5
in 29503 and the face value of 7 in 32071 is
(1) 430 (2) 493 (3) 2 (4) 43
14. If 30028 28 = ones + 28 thousand + ………
tens, then the number in the blank space is
(1) 200 (2) 280 (3) 28 (4) 128
15. When the remainder obtained on dividing
80808 by 108 is divided by the remainder
obtained on dividing 90909 by 109, then the
quotient is
(1) 8 (2) 12 (3) 3 (4) 6
16. If 603 28 63 4 × = × × ………, then the
number in the blank space is
(1) 63 (2) 67 (3) 21 (4) 28
17. (The smallest common multiple of 30, 45 and
60 between 200 and 400) ÷ (The largest
common factor of 15, 24 and 45) is equal to
(1) 120 (2) 180 (3) 60 (4) 90
18. A number is smaller than half of one
hundred and lies between 4 tens and 5 tens.
Ones digit is one less than tens digit. If the
sum of digits is 7, then the product of the
digits in the number is
(1) 20 (2) 24 (3) 12 (4) 16
19. In a school, there are 360 students out of
which two-thirds are girls and the rest are
boys. Three-fourths of the number of boys are
players. The number of boys who are not
players are
(1) 60 (2) 75
(3) 25 (4) 30
20. Harish bought a scooter for ` 49553. He paid
` 8076 in cash and agreed to pay the
remaining amount in 37 equal installments.
What is the amount of each installment?
(1) ` 1201 (2) ` 1339
(3) ` 1021 (4) ` 1121
21. A train left Hyderabad at 13 : 15 on Friday
and reached Bengaluru at 07 : 30 on
Saturday. The duration of the journey was
(1) 18 h 15 min (2) 19 h 45 min
(3) 5 h 35 min (4) 12 h 45 min
22. The number of minutes in 15 days is equal
to the number of seconds in
(1) 6 h (2) 8 h
(3) 4 h (4) 5 h
23. 15 L 286 mL of orange juice is mixed with
19 L 714 mL of carrot juice. 12 L 750 mL of
the mixture is used and the rest is filled in
bottles each containing 250 mL. The number
of bottles is
(1) 81 (2) 77 (3) 89 (4) 85
24. The prices of fruits per kg are given below
Watermelon : ` 18.50
Cherry : ` 72
Grapes : ` 120.60
Apple : ` 78.40
Reshma bought 4
1
2
kg watermelon, 1 kg
200 g cherries, 250 g grapes and 1
3
4
kg
apples. She gave a ` 500 note to the
shopkeeper. How much did she get back?
(1) ` 172 (2) ` 173
(3) ` 162 (4) ` 163
25. The size of a soap cake is 7 cm × 5 cm × 25 .
cm. The maximum number of soap cakes
which can be packed into two boxes each
having internal measurements as 56 cm
× 04 . m × 0 25 . m is
(1) 1280 (2) 2560
(3) 640 (4) 960
26. The length of a rectangle is three times its
breadth. The breadth is half the side of a
square whose perimeter is 72 cm. Then,
(1) the perimeters of both rectangle and square are
equal
(2) the perimeter of the rectangle is less than the
perimeter of the square
(3) the areas of the square and rectangle are equal
(4) the area of the rectangle is more than the area of
the square
27. Which one of the following is not correct?
(1) 2005 g = 2.005 kg
(2) The volume of a cuboid of length 45 cm,
breadth 15 cm and height 40 cm is equal to the
volume of a cube whose side is 0.3 m
(3) One hundredth of 10 is equal to 0.1
(4) 55 L 55 mL = 55.55 L
28. Which of the following is an essential
prerequisite to understand multiplication of
a two-digit number by a one-digit or a
two-digit number?
(1) Commutative property of addition
(2) Commutative property of multiplication
(3) Multiplication as distribution over addition
(4) Multiplication as inverse of division
29. Which of the following cannot be considered
as a reason for fear and failure in
Mathematics?
(1) Classroom experiences
(2) Symbolic notations
(3) Structure of Mathematics
(4) Gender differences
30. Which of the following teaching-learning
resources would be the most appropriate to
teach the concept of addition of two decimal
numbers?
(1) Geoboard
(2) Beads and string
(3) Graph paper
(4) Abacus
Solved Paper 2016 05
Page 4


Directions (Q. Nos. 1-30) Answer the following questions by selecting the correct/most
appropriate option.
1. The majority of Class IV learners think that
multiplication of two numbers always results in a
number which is bigger than both the numbers.
How will you show that it is always not the case?
(1) By showing the multiplication algorithm of one whole
number and a fraction on a number line
(2) By showing it through repeated addition of numbers
(3) By showing the multiplication algorithm of two
decimal numbers
(4) By showing on a grid paper the multiplication of two
decimal numbers
2. Which of the following statements is true in the
context of teaching ‘measurement’ to primary
class students?
(1) Standard measures should be followed by
non-standard measures
(2) Non-standard measures should be followed by
standard measures
(3) Only non-standard measures should be used
(4) Non-standard measures should not be
used
3. Which of the following assessment
strategies can be used to make
connections of Mathematics with real
life and promote inter-disciplinarity?
(1) Field trip, oral test, drill worksheet
(2) Survey, project, checklist
(3) Field trip, oral test, checklist
(4) Field trip, survey, project
4. Which of the following can be used as
learning resources for visually
challenged in a Mathematics
classroom?
(1) Taylor’s abacus, fraction kit, number chart
(2) Number chart, computer, geoboard
(3) Taylor’s abacus, computer, geoboard
(4) Computer, number chart, geoboard
CTET SOLVED PAPER S
Paper - 1 (Mathem atics)
1 8 S e p t ember, 2016
04 CTET&TETs~Mathematics&Pedagogy
5. In the context of ‘numbers’, primary class
children i.e. the children in age group 8-9
years, are able to accomplish which one of
the following sets?
(1) Classification, reversibility, proportional
reasoning
(2) Seriation, reversibility, proportional reasoning
(3) Seriation, classification, proportional reasoning
(4) Seriation, classification, reversibility
6. A teacher of Class I asks a student to count
the total number of objects in a collection of
pens, erasers and sharpners. The student
put all the objects in a line and starts
counting. He says that there are 2 pens, 5
erasers and 3 sharpners instead of 10
objects. In which principle/ principles of
counting do you think that the student is
facing difficulty?
(1) Abstraction and order irrelevance principles
(2) Stable order and abstraction principles
(3) One-to-one correspondence principle
(4) Abstraction principle
7. A teacher of Class II asks her students to
write 4 ones and 3 tens. Some students
write as 43 instead of 34. As a teacher, how
will you help the students in understanding
the concept?
(1) Always teach by column method of tens and
ones to avoid confusion
(2) Give a lot of questions to practise in column
method
(3) Ask the students to represent on abacus and
then write
(4) Tell them it is wrong and ask them to write the
correct answer 5 times
8. Which of the following statements is not
true about ‘mapping’ in Mathematics?
(1) Mapping strengthens spatial thinking
(2) Mapping promotes proportional reasoning
(3) Mapping is not part of Mathematics curriculum
(4) Mapping can be integrated in many topics of
Mathematics
9. Which of the following aspects of ‘shapes’ is
not dealt with at primary level?
(1) Pattern (2) Angle
(3) Symmetry (4) Tessellation
10. The Mathematical games and puzzles help in
A. developing a positive attitude towards
Mathematics.
B. making connection between
Mathematics and everyday thinking.
C. making Mathematics enjoyable.
D. promoting problem-solving skills
Select the correct option
(1) A, B and C (2) A, B, C and D
(3) A and B (4) A and D
11. A given rectangle and a parallelogram have
the same area. However, many Class IV
students respond that the parallelogram has
a larger area. How can a teacher help the
students to understand that their areas are
the same?
(1) Using paper folding (2) Using scale
(3) Using a geoboard (4) Using a graph paper
12. Which of the following is not an objective of
teaching Mathematics at primary level
according to NCF, 2005?
(1) Preparing for learning higher and abstract
Mathematics
(2) Making Mathematics part of child’s life
experiences
(3) Promoting problem-solving and
problem-posing skills
(4) Promoting logical thinking
13. The difference between the place value of 5
in 29503 and the face value of 7 in 32071 is
(1) 430 (2) 493 (3) 2 (4) 43
14. If 30028 28 = ones + 28 thousand + ………
tens, then the number in the blank space is
(1) 200 (2) 280 (3) 28 (4) 128
15. When the remainder obtained on dividing
80808 by 108 is divided by the remainder
obtained on dividing 90909 by 109, then the
quotient is
(1) 8 (2) 12 (3) 3 (4) 6
16. If 603 28 63 4 × = × × ………, then the
number in the blank space is
(1) 63 (2) 67 (3) 21 (4) 28
17. (The smallest common multiple of 30, 45 and
60 between 200 and 400) ÷ (The largest
common factor of 15, 24 and 45) is equal to
(1) 120 (2) 180 (3) 60 (4) 90
18. A number is smaller than half of one
hundred and lies between 4 tens and 5 tens.
Ones digit is one less than tens digit. If the
sum of digits is 7, then the product of the
digits in the number is
(1) 20 (2) 24 (3) 12 (4) 16
19. In a school, there are 360 students out of
which two-thirds are girls and the rest are
boys. Three-fourths of the number of boys are
players. The number of boys who are not
players are
(1) 60 (2) 75
(3) 25 (4) 30
20. Harish bought a scooter for ` 49553. He paid
` 8076 in cash and agreed to pay the
remaining amount in 37 equal installments.
What is the amount of each installment?
(1) ` 1201 (2) ` 1339
(3) ` 1021 (4) ` 1121
21. A train left Hyderabad at 13 : 15 on Friday
and reached Bengaluru at 07 : 30 on
Saturday. The duration of the journey was
(1) 18 h 15 min (2) 19 h 45 min
(3) 5 h 35 min (4) 12 h 45 min
22. The number of minutes in 15 days is equal
to the number of seconds in
(1) 6 h (2) 8 h
(3) 4 h (4) 5 h
23. 15 L 286 mL of orange juice is mixed with
19 L 714 mL of carrot juice. 12 L 750 mL of
the mixture is used and the rest is filled in
bottles each containing 250 mL. The number
of bottles is
(1) 81 (2) 77 (3) 89 (4) 85
24. The prices of fruits per kg are given below
Watermelon : ` 18.50
Cherry : ` 72
Grapes : ` 120.60
Apple : ` 78.40
Reshma bought 4
1
2
kg watermelon, 1 kg
200 g cherries, 250 g grapes and 1
3
4
kg
apples. She gave a ` 500 note to the
shopkeeper. How much did she get back?
(1) ` 172 (2) ` 173
(3) ` 162 (4) ` 163
25. The size of a soap cake is 7 cm × 5 cm × 25 .
cm. The maximum number of soap cakes
which can be packed into two boxes each
having internal measurements as 56 cm
× 04 . m × 0 25 . m is
(1) 1280 (2) 2560
(3) 640 (4) 960
26. The length of a rectangle is three times its
breadth. The breadth is half the side of a
square whose perimeter is 72 cm. Then,
(1) the perimeters of both rectangle and square are
equal
(2) the perimeter of the rectangle is less than the
perimeter of the square
(3) the areas of the square and rectangle are equal
(4) the area of the rectangle is more than the area of
the square
27. Which one of the following is not correct?
(1) 2005 g = 2.005 kg
(2) The volume of a cuboid of length 45 cm,
breadth 15 cm and height 40 cm is equal to the
volume of a cube whose side is 0.3 m
(3) One hundredth of 10 is equal to 0.1
(4) 55 L 55 mL = 55.55 L
28. Which of the following is an essential
prerequisite to understand multiplication of
a two-digit number by a one-digit or a
two-digit number?
(1) Commutative property of addition
(2) Commutative property of multiplication
(3) Multiplication as distribution over addition
(4) Multiplication as inverse of division
29. Which of the following cannot be considered
as a reason for fear and failure in
Mathematics?
(1) Classroom experiences
(2) Symbolic notations
(3) Structure of Mathematics
(4) Gender differences
30. Which of the following teaching-learning
resources would be the most appropriate to
teach the concept of addition of two decimal
numbers?
(1) Geoboard
(2) Beads and string
(3) Graph paper
(4) Abacus
Solved Paper 2016 05
1. (4) Multiplication of two decimal numbers on
grid paper e.g. 0.4 and 0.2
Hundredthsgrid
(i) First show 0.2 on the grid paper
?
20
100
Colour 20 blocks out of 100 blocks.
(ii) Then, show 0.4 on the grid paper
?
40
100
Colour 40 blocks out of 100 blocks.
Now, the answer is 0 2 0 4 0 08 . . . × =
2. (2) As when the topic of measurement is
approached using non-standard units, learners can
develop a deep and meaningful understanding of
measurement. Hence, non standard measures
should be followed by standard measures.
3. (4) To connect the Mathematics with real life,
field trip, survey and projects are more helpful. By
involving students actively in learning interesting
Mathematics, they will be more successful than
more conventional courses in promoting positive
attitude about Mathematics.
4. (3)Taylor’sAbacus Once the child learn that
how to calculate the problems mentally or when
the child can done mental calculations i.e. addition,
subtraction, division, multiplication, etc. then the
child can verify his answer with the use of Abacus.
Geoboard It is a rectangular or square board in
shape with nails at equal distance. This can be used
for showing geometrical figures and graphs.
Rubber bands can be used to show various shapes.
Computer Audio has been one of the most
popular and successful output media for the blind
student and is employed in a wide variety of
computer-based interfaces.
5. (2)Seriation It means to arrange the objects in
order by size.
Reversibility It means child’s ability to think in two
directions at the same time.
e.g. 5 5 4 6 + = +
3 6 7 2 + = +
ProportionalReasoning It is ratio and proportion.
e.g. If 5 chocolates costs` 20, how much do 10 cost?
5 chocolates ? ` 20
10 chocolates ? `x
?
5
10
20
=
x
? x =
× 20 10
5
=` 40
6. (1)Abstraction It means that children can count
different sized objects and treat them the same
numerically.
OrderIrrelevancePrinciple In this, the child understands
that the counting can begin with any object in a set and the
total will stay the same.
7. (3) Abacus is the basic tool used to learn the
Mathematics by students. Students easily identify the ones
and tens column in the Abacus and then write the number
easily.
8. (3) Mapping strengthens spatial thinking, promotes
proportional reasoning and can be integrated in many
topics of Mathematics. So, mapping is a part of
Mathematics curriculum.
9. (2) Pattern, Symmetry and Tessellation, all are aspects of
“shapes” in primary level. All are related to
geometry/spatial ideas. But, angle is a part of
measurement.
10. (2) Mathematical games and puzzles promotes problem
solving skills and relate the child with the everyday
thinking with enjoyable methods and thus inculcate them
positive attitude towards Maths.
11. (4) According to the options, option (3) and (4), both
are helpful. But Graph paper is more appropriate than the
geoboard as on graph paper children can calculate the exact
area.
12. (1) According to NCF, 2005 learning should be
enjoyable act where children should feel that they are
valued and their voices are heard. NCF focused on
—
learning without burden
—
to develop a sense of self-reliance and dignity
—
promote logical thinking
—
promote democracy and unity in students
0.2
0.08
0.4
s O L V ED P AP ER 2 0 16 Hints & Sol utions
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Directions (Q. Nos. 1-30) Answer the following questions by selecting the correct/most
appropriate option.
1. The majority of Class IV learners think that
multiplication of two numbers always results in a
number which is bigger than both the numbers.
How will you show that it is always not the case?
(1) By showing the multiplication algorithm of one whole
number and a fraction on a number line
(2) By showing it through repeated addition of numbers
(3) By showing the multiplication algorithm of two
decimal numbers
(4) By showing on a grid paper the multiplication of two
decimal numbers
2. Which of the following statements is true in the
context of teaching ‘measurement’ to primary
class students?
(1) Standard measures should be followed by
non-standard measures
(2) Non-standard measures should be followed by
standard measures
(3) Only non-standard measures should be used
(4) Non-standard measures should not be
used
3. Which of the following assessment
strategies can be used to make
connections of Mathematics with real
life and promote inter-disciplinarity?
(1) Field trip, oral test, drill worksheet
(2) Survey, project, checklist
(3) Field trip, oral test, checklist
(4) Field trip, survey, project
4. Which of the following can be used as
learning resources for visually
challenged in a Mathematics
classroom?
(1) Taylor’s abacus, fraction kit, number chart
(2) Number chart, computer, geoboard
(3) Taylor’s abacus, computer, geoboard
(4) Computer, number chart, geoboard
CTET SOLVED PAPER S
Paper - 1 (Mathem atics)
1 8 S e p t ember, 2016
04 CTET&TETs~Mathematics&Pedagogy
5. In the context of ‘numbers’, primary class
children i.e. the children in age group 8-9
years, are able to accomplish which one of
the following sets?
(1) Classification, reversibility, proportional
reasoning
(2) Seriation, reversibility, proportional reasoning
(3) Seriation, classification, proportional reasoning
(4) Seriation, classification, reversibility
6. A teacher of Class I asks a student to count
the total number of objects in a collection of
pens, erasers and sharpners. The student
put all the objects in a line and starts
counting. He says that there are 2 pens, 5
erasers and 3 sharpners instead of 10
objects. In which principle/ principles of
counting do you think that the student is
facing difficulty?
(1) Abstraction and order irrelevance principles
(2) Stable order and abstraction principles
(3) One-to-one correspondence principle
(4) Abstraction principle
7. A teacher of Class II asks her students to
write 4 ones and 3 tens. Some students
write as 43 instead of 34. As a teacher, how
will you help the students in understanding
the concept?
(1) Always teach by column method of tens and
ones to avoid confusion
(2) Give a lot of questions to practise in column
method
(3) Ask the students to represent on abacus and
then write
(4) Tell them it is wrong and ask them to write the
correct answer 5 times
8. Which of the following statements is not
true about ‘mapping’ in Mathematics?
(1) Mapping strengthens spatial thinking
(2) Mapping promotes proportional reasoning
(3) Mapping is not part of Mathematics curriculum
(4) Mapping can be integrated in many topics of
Mathematics
9. Which of the following aspects of ‘shapes’ is
not dealt with at primary level?
(1) Pattern (2) Angle
(3) Symmetry (4) Tessellation
10. The Mathematical games and puzzles help in
A. developing a positive attitude towards
Mathematics.
B. making connection between
Mathematics and everyday thinking.
C. making Mathematics enjoyable.
D. promoting problem-solving skills
Select the correct option
(1) A, B and C (2) A, B, C and D
(3) A and B (4) A and D
11. A given rectangle and a parallelogram have
the same area. However, many Class IV
students respond that the parallelogram has
a larger area. How can a teacher help the
students to understand that their areas are
the same?
(1) Using paper folding (2) Using scale
(3) Using a geoboard (4) Using a graph paper
12. Which of the following is not an objective of
teaching Mathematics at primary level
according to NCF, 2005?
(1) Preparing for learning higher and abstract
Mathematics
(2) Making Mathematics part of child’s life
experiences
(3) Promoting problem-solving and
problem-posing skills
(4) Promoting logical thinking
13. The difference between the place value of 5
in 29503 and the face value of 7 in 32071 is
(1) 430 (2) 493 (3) 2 (4) 43
14. If 30028 28 = ones + 28 thousand + ………
tens, then the number in the blank space is
(1) 200 (2) 280 (3) 28 (4) 128
15. When the remainder obtained on dividing
80808 by 108 is divided by the remainder
obtained on dividing 90909 by 109, then the
quotient is
(1) 8 (2) 12 (3) 3 (4) 6
16. If 603 28 63 4 × = × × ………, then the
number in the blank space is
(1) 63 (2) 67 (3) 21 (4) 28
17. (The smallest common multiple of 30, 45 and
60 between 200 and 400) ÷ (The largest
common factor of 15, 24 and 45) is equal to
(1) 120 (2) 180 (3) 60 (4) 90
18. A number is smaller than half of one
hundred and lies between 4 tens and 5 tens.
Ones digit is one less than tens digit. If the
sum of digits is 7, then the product of the
digits in the number is
(1) 20 (2) 24 (3) 12 (4) 16
19. In a school, there are 360 students out of
which two-thirds are girls and the rest are
boys. Three-fourths of the number of boys are
players. The number of boys who are not
players are
(1) 60 (2) 75
(3) 25 (4) 30
20. Harish bought a scooter for ` 49553. He paid
` 8076 in cash and agreed to pay the
remaining amount in 37 equal installments.
What is the amount of each installment?
(1) ` 1201 (2) ` 1339
(3) ` 1021 (4) ` 1121
21. A train left Hyderabad at 13 : 15 on Friday
and reached Bengaluru at 07 : 30 on
Saturday. The duration of the journey was
(1) 18 h 15 min (2) 19 h 45 min
(3) 5 h 35 min (4) 12 h 45 min
22. The number of minutes in 15 days is equal
to the number of seconds in
(1) 6 h (2) 8 h
(3) 4 h (4) 5 h
23. 15 L 286 mL of orange juice is mixed with
19 L 714 mL of carrot juice. 12 L 750 mL of
the mixture is used and the rest is filled in
bottles each containing 250 mL. The number
of bottles is
(1) 81 (2) 77 (3) 89 (4) 85
24. The prices of fruits per kg are given below
Watermelon : ` 18.50
Cherry : ` 72
Grapes : ` 120.60
Apple : ` 78.40
Reshma bought 4
1
2
kg watermelon, 1 kg
200 g cherries, 250 g grapes and 1
3
4
kg
apples. She gave a ` 500 note to the
shopkeeper. How much did she get back?
(1) ` 172 (2) ` 173
(3) ` 162 (4) ` 163
25. The size of a soap cake is 7 cm × 5 cm × 25 .
cm. The maximum number of soap cakes
which can be packed into two boxes each
having internal measurements as 56 cm
× 04 . m × 0 25 . m is
(1) 1280 (2) 2560
(3) 640 (4) 960
26. The length of a rectangle is three times its
breadth. The breadth is half the side of a
square whose perimeter is 72 cm. Then,
(1) the perimeters of both rectangle and square are
equal
(2) the perimeter of the rectangle is less than the
perimeter of the square
(3) the areas of the square and rectangle are equal
(4) the area of the rectangle is more than the area of
the square
27. Which one of the following is not correct?
(1) 2005 g = 2.005 kg
(2) The volume of a cuboid of length 45 cm,
breadth 15 cm and height 40 cm is equal to the
volume of a cube whose side is 0.3 m
(3) One hundredth of 10 is equal to 0.1
(4) 55 L 55 mL = 55.55 L
28. Which of the following is an essential
prerequisite to understand multiplication of
a two-digit number by a one-digit or a
two-digit number?
(1) Commutative property of addition
(2) Commutative property of multiplication
(3) Multiplication as distribution over addition
(4) Multiplication as inverse of division
29. Which of the following cannot be considered
as a reason for fear and failure in
Mathematics?
(1) Classroom experiences
(2) Symbolic notations
(3) Structure of Mathematics
(4) Gender differences
30. Which of the following teaching-learning
resources would be the most appropriate to
teach the concept of addition of two decimal
numbers?
(1) Geoboard
(2) Beads and string
(3) Graph paper
(4) Abacus
Solved Paper 2016 05
1. (4) Multiplication of two decimal numbers on
grid paper e.g. 0.4 and 0.2
Hundredthsgrid
(i) First show 0.2 on the grid paper
?
20
100
Colour 20 blocks out of 100 blocks.
(ii) Then, show 0.4 on the grid paper
?
40
100
Colour 40 blocks out of 100 blocks.
Now, the answer is 0 2 0 4 0 08 . . . × =
2. (2) As when the topic of measurement is
approached using non-standard units, learners can
develop a deep and meaningful understanding of
measurement. Hence, non standard measures
should be followed by standard measures.
3. (4) To connect the Mathematics with real life,
field trip, survey and projects are more helpful. By
involving students actively in learning interesting
Mathematics, they will be more successful than
more conventional courses in promoting positive
attitude about Mathematics.
4. (3)Taylor’sAbacus Once the child learn that
how to calculate the problems mentally or when
the child can done mental calculations i.e. addition,
subtraction, division, multiplication, etc. then the
child can verify his answer with the use of Abacus.
Geoboard It is a rectangular or square board in
shape with nails at equal distance. This can be used
for showing geometrical figures and graphs.
Rubber bands can be used to show various shapes.
Computer Audio has been one of the most
popular and successful output media for the blind
student and is employed in a wide variety of
computer-based interfaces.
5. (2)Seriation It means to arrange the objects in
order by size.
Reversibility It means child’s ability to think in two
directions at the same time.
e.g. 5 5 4 6 + = +
3 6 7 2 + = +
ProportionalReasoning It is ratio and proportion.
e.g. If 5 chocolates costs` 20, how much do 10 cost?
5 chocolates ? ` 20
10 chocolates ? `x
?
5
10
20
=
x
? x =
× 20 10
5
=` 40
6. (1)Abstraction It means that children can count
different sized objects and treat them the same
numerically.
OrderIrrelevancePrinciple In this, the child understands
that the counting can begin with any object in a set and the
total will stay the same.
7. (3) Abacus is the basic tool used to learn the
Mathematics by students. Students easily identify the ones
and tens column in the Abacus and then write the number
easily.
8. (3) Mapping strengthens spatial thinking, promotes
proportional reasoning and can be integrated in many
topics of Mathematics. So, mapping is a part of
Mathematics curriculum.
9. (2) Pattern, Symmetry and Tessellation, all are aspects of
“shapes” in primary level. All are related to
geometry/spatial ideas. But, angle is a part of
measurement.
10. (2) Mathematical games and puzzles promotes problem
solving skills and relate the child with the everyday
thinking with enjoyable methods and thus inculcate them
positive attitude towards Maths.
11. (4) According to the options, option (3) and (4), both
are helpful. But Graph paper is more appropriate than the
geoboard as on graph paper children can calculate the exact
area.
12. (1) According to NCF, 2005 learning should be
enjoyable act where children should feel that they are
valued and their voices are heard. NCF focused on
—
learning without burden
—
to develop a sense of self-reliance and dignity
—
promote logical thinking
—
promote democracy and unity in students
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s O L V ED P AP ER 2 0 16 Hints & Sol utions
13. (2) Place value of 5 in 29503 is 500
Face value of 7 in 32071 is 7
Now, difference is 500 7 493 - =
14. (1) 30028 = 28 ones + 28 thousand
+... tens = + + 28 28000 K tens
? 30028 28028 - = ... tens
? 2000 = ... tens
? 2000 200 = tens
15. (1)
108) 80808 (748
756
520
432
888
864
24
Remainder = 24
and,
109) 90909 (834
872
370
327
439
436
3
Remainder = 3
Hence,
24
3
8 = (Quotient)
16. (2) 603 28 63 4 × = × × x
Let the black space bex
? x =
×
×
603 28
63 4
? x = 67
17. (1) Smallest common multiple of 30, 45, 60
between 200 and 400
2 30, 45, 60
2 15, 45, 30
3 15, 45, 15
3 5, 15, 5
5 5, 5, 5
1, 1, 1
? 2 2 3 3 5 180 × × × × =
But value lies between 200 and 400
? 180 2 360 × =
LCM = 360
Highest common factor of 15, 24 and 45
15)24(1
15
9)15(1
9
6)9(1
6
3)6(2
6
×
3)45(15
45
×
HCF = 3
According to the question,
?
LCM
HCF
= =
360
3
120
18. (3) Let the number be ‘x’. Now, 40 50 < < x
Let the ones digit be y.
Then, tens digit be y +1
Then, y y + + = 1 7
? 2 1 7 y + =
? 2 6 y =
y = 3
and ten’s digit = + = y 1 4
Hence, number is 43.
Product of the digits = × = 4 3 12
19. (4) Total number of students = 360
and
2
3
are girls = × = 360
2
3
240 girls
Total number of boys = - 360 240
=120 boys
Number of boys who are players
= ×
3
4
120
= 90 boys are players
Number of boys who are not players
= - = 120 90 30
20. (4) Harish paid cash =` 8076
Harish bought a scooter
=` 49553
Solved Paper 2016 07