CTET Mathematics Solved Question Paper - 1 (08 Dec - 2019) | Mathematics & Pedagogy Paper 1 for CTET & TET Exams - CTET & State TET PDF Download

 Page 1


Directions (Q.Nos. 1-30)Answerthe
followingquestionsbyselectingthe
correct/mostappropriateoptions.
1. Three brands of pens A, B and C are
available in packets of 10, 12 and 24
respectively. If a shopkeeper wants to buy
equal number of pens of each brand, what is
the minimum number of packets of each
brand, he should buy?
(1) A = 10,B = 12 ,C = 5 (2) A = 5 ,B = 12 ,C = 10
(3) A = 10,B = 5 ,C = 12 (4) A = 12 ,B = 10,C = 5
2. The side of a square is 4 cm. It is cut into 4
equal squares. What is the area of each
small square?
(1) 4cm
2
(2) 1cm
2
(3) 16cm
2
(4) 8cm
2
3. Which of the following statements is not
correct?
(1) All prime numbers are odd numbers
(2) There are infinitely many prime numbers
(3) A prime number has only two factors
(4) There are only four single digit prime numbers
4. A number that is divisible by all the
numbers from 1 to 10 (both inclusive) is
(1) 10 (2) 100
(3) 604 (4) 2520
5. Ayesha has only` 5 and` 10 coins with her.
If the total number of coins she has is 25
and the amount of money with her is` 160,
then the number of` 5 and
` 10 coins with her are
(1) 18 and 7 respectively
(2) 10 and 15 respectively
(3) 15 and 10 respectively
(4) 20 and 5 respectively
6. Evaluate 17 5 3 21 7 3 12 5 . . × - ÷ - ×
(1) 52.5 (2) 12 (3) 120 (4) 50
7. One-sixth of the trees in a garden are Neem
trees. Half of the trees are Ashoka trees and
the remaining are Eucalyptus trees. If the
number of Neem trees is five, how many
Eucalyptus trees are there in the garden?
(1) 5 (2) 10 (3) 15 (4) 20
8. A train leaves Delhi on 29th August, 2019
at 16:30 h and reaches its destination on
31st August at 08:45 h. The total travel
time of the journey is
(1) 36 h 15 min
(2) 38 h 45 min
(3) 39 h 45 min
(4) 40 h15 min
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
8 December, 2019
Page 2


Directions (Q.Nos. 1-30)Answerthe
followingquestionsbyselectingthe
correct/mostappropriateoptions.
1. Three brands of pens A, B and C are
available in packets of 10, 12 and 24
respectively. If a shopkeeper wants to buy
equal number of pens of each brand, what is
the minimum number of packets of each
brand, he should buy?
(1) A = 10,B = 12 ,C = 5 (2) A = 5 ,B = 12 ,C = 10
(3) A = 10,B = 5 ,C = 12 (4) A = 12 ,B = 10,C = 5
2. The side of a square is 4 cm. It is cut into 4
equal squares. What is the area of each
small square?
(1) 4cm
2
(2) 1cm
2
(3) 16cm
2
(4) 8cm
2
3. Which of the following statements is not
correct?
(1) All prime numbers are odd numbers
(2) There are infinitely many prime numbers
(3) A prime number has only two factors
(4) There are only four single digit prime numbers
4. A number that is divisible by all the
numbers from 1 to 10 (both inclusive) is
(1) 10 (2) 100
(3) 604 (4) 2520
5. Ayesha has only` 5 and` 10 coins with her.
If the total number of coins she has is 25
and the amount of money with her is` 160,
then the number of` 5 and
` 10 coins with her are
(1) 18 and 7 respectively
(2) 10 and 15 respectively
(3) 15 and 10 respectively
(4) 20 and 5 respectively
6. Evaluate 17 5 3 21 7 3 12 5 . . × - ÷ - ×
(1) 52.5 (2) 12 (3) 120 (4) 50
7. One-sixth of the trees in a garden are Neem
trees. Half of the trees are Ashoka trees and
the remaining are Eucalyptus trees. If the
number of Neem trees is five, how many
Eucalyptus trees are there in the garden?
(1) 5 (2) 10 (3) 15 (4) 20
8. A train leaves Delhi on 29th August, 2019
at 16:30 h and reaches its destination on
31st August at 08:45 h. The total travel
time of the journey is
(1) 36 h 15 min
(2) 38 h 45 min
(3) 39 h 45 min
(4) 40 h15 min
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
8 December, 2019
9. In which of the following, lengths have been
arranged in decreasing order?
(1) 8500 mm, 800 cm 8 mm, 80 dm 8 cm, 8 m
(2) 80 dm 8 cm, 8500 mm, 8 m, 800 cm, 8 mm
(3) 8 m, 80 dm 8 cm, 8500 mm, 800 cm, 8 mm
(4) 8500 mm, 80 dm, 8 cm 800 cm 8 mm, 8 m
10. A, 180 cm long wire is formed into a
rectangle. If the width of this rectangle is 30
cm, what is its length?
(1) 45 cm (2) 60 cm
(3) 90 cm (4) 120 cm
11. When asked to write 44, some students of
grade II wrote its as 404. As a teacher, how
will you address this?
(1) correct their answer in their copies
(2) explain principle of exchange using concrete
material
(3) group them with those who have done it
correctly
(4) tell them to find out correct answer
12. The main purpose of introducing ‘mapping’
in the primary Mathematics curriculum
is/are
A. to promote spatial thinking
B. to promote proportional reasoning
C. to make subject easy and interesting
D. to break the monotony of numbers
(1) A and C (2) A and D
(3) A and B (4) B and C
13. Which of the following topics are not part of
primary school Mathematics curriculum as
per NCF 2005?
(1) Tessellation (2) Symmetry
(3) Patterns (4) Ratio
14. Which of the following resources/TLM can be
used by the teacher to show that two
rectangles of different dimensions can have
same area without using formula?
A. Scale B. Graph paper
C. Thread D. Tiles
(1) Only B (2) B and D
(3) Only C (4) A and D
15. Which of the following could be contributing
factor to under achievement in
Mathematics?
(1) Gender
(2) Socio-cultural background
(3) Nature of Mathematics
(4) Innate ability of person
16. Which of the following is the most
appropriate strategy to explain that
1
4
is less
than
1
3
?
(1) using LCM method (2) using paper strips
(3) using Dienes blocks (4) using number chart
17. Which of the following is the most
important aspect of making lesson plan
while teaching Mathematics to primary
school children?
(1) following the sequence of text book
(2) presenting mathematical concepts in structured
manner
(3) providing opportunities to students to allow
construction of concepts
(4) writing activities and questions for reference
18. Which of the following cannot be considered
a feature of a constructivist Mathematics
classroom?
(1) The role of language and dialogue in learning
Mathematics is given due attention
(2) The teacher acknowledges that students may
construct multiple understandings from a given
interaction
(3) Objective type test items are used as the
primary means of assessment.
(4) Connections between Mathematics and other
curricular areas are highlighted
19. Which of the following statements is in
agreement with the constructionist view of
mathematics?
(1) Mathematics is about learning facts
(2) Mathematicions are required to discover the
‘truths’
(3) Mathematics is entirely objective
(4) Visualisation is an important aspect of
Mathematics
20. Which of the following activities is best
suited for the development of spatial
understanding among children?
(1) Drawing the top view of a bottle
(2) Locating cities on a map
(3) Noting the time of moon rise
(4) Representing numbers on a number line
2
CTET 2019 DEC (CLASS I-V)SOLVED PAPER
Page 3


Directions (Q.Nos. 1-30)Answerthe
followingquestionsbyselectingthe
correct/mostappropriateoptions.
1. Three brands of pens A, B and C are
available in packets of 10, 12 and 24
respectively. If a shopkeeper wants to buy
equal number of pens of each brand, what is
the minimum number of packets of each
brand, he should buy?
(1) A = 10,B = 12 ,C = 5 (2) A = 5 ,B = 12 ,C = 10
(3) A = 10,B = 5 ,C = 12 (4) A = 12 ,B = 10,C = 5
2. The side of a square is 4 cm. It is cut into 4
equal squares. What is the area of each
small square?
(1) 4cm
2
(2) 1cm
2
(3) 16cm
2
(4) 8cm
2
3. Which of the following statements is not
correct?
(1) All prime numbers are odd numbers
(2) There are infinitely many prime numbers
(3) A prime number has only two factors
(4) There are only four single digit prime numbers
4. A number that is divisible by all the
numbers from 1 to 10 (both inclusive) is
(1) 10 (2) 100
(3) 604 (4) 2520
5. Ayesha has only` 5 and` 10 coins with her.
If the total number of coins she has is 25
and the amount of money with her is` 160,
then the number of` 5 and
` 10 coins with her are
(1) 18 and 7 respectively
(2) 10 and 15 respectively
(3) 15 and 10 respectively
(4) 20 and 5 respectively
6. Evaluate 17 5 3 21 7 3 12 5 . . × - ÷ - ×
(1) 52.5 (2) 12 (3) 120 (4) 50
7. One-sixth of the trees in a garden are Neem
trees. Half of the trees are Ashoka trees and
the remaining are Eucalyptus trees. If the
number of Neem trees is five, how many
Eucalyptus trees are there in the garden?
(1) 5 (2) 10 (3) 15 (4) 20
8. A train leaves Delhi on 29th August, 2019
at 16:30 h and reaches its destination on
31st August at 08:45 h. The total travel
time of the journey is
(1) 36 h 15 min
(2) 38 h 45 min
(3) 39 h 45 min
(4) 40 h15 min
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
8 December, 2019
9. In which of the following, lengths have been
arranged in decreasing order?
(1) 8500 mm, 800 cm 8 mm, 80 dm 8 cm, 8 m
(2) 80 dm 8 cm, 8500 mm, 8 m, 800 cm, 8 mm
(3) 8 m, 80 dm 8 cm, 8500 mm, 800 cm, 8 mm
(4) 8500 mm, 80 dm, 8 cm 800 cm 8 mm, 8 m
10. A, 180 cm long wire is formed into a
rectangle. If the width of this rectangle is 30
cm, what is its length?
(1) 45 cm (2) 60 cm
(3) 90 cm (4) 120 cm
11. When asked to write 44, some students of
grade II wrote its as 404. As a teacher, how
will you address this?
(1) correct their answer in their copies
(2) explain principle of exchange using concrete
material
(3) group them with those who have done it
correctly
(4) tell them to find out correct answer
12. The main purpose of introducing ‘mapping’
in the primary Mathematics curriculum
is/are
A. to promote spatial thinking
B. to promote proportional reasoning
C. to make subject easy and interesting
D. to break the monotony of numbers
(1) A and C (2) A and D
(3) A and B (4) B and C
13. Which of the following topics are not part of
primary school Mathematics curriculum as
per NCF 2005?
(1) Tessellation (2) Symmetry
(3) Patterns (4) Ratio
14. Which of the following resources/TLM can be
used by the teacher to show that two
rectangles of different dimensions can have
same area without using formula?
A. Scale B. Graph paper
C. Thread D. Tiles
(1) Only B (2) B and D
(3) Only C (4) A and D
15. Which of the following could be contributing
factor to under achievement in
Mathematics?
(1) Gender
(2) Socio-cultural background
(3) Nature of Mathematics
(4) Innate ability of person
16. Which of the following is the most
appropriate strategy to explain that
1
4
is less
than
1
3
?
(1) using LCM method (2) using paper strips
(3) using Dienes blocks (4) using number chart
17. Which of the following is the most
important aspect of making lesson plan
while teaching Mathematics to primary
school children?
(1) following the sequence of text book
(2) presenting mathematical concepts in structured
manner
(3) providing opportunities to students to allow
construction of concepts
(4) writing activities and questions for reference
18. Which of the following cannot be considered
a feature of a constructivist Mathematics
classroom?
(1) The role of language and dialogue in learning
Mathematics is given due attention
(2) The teacher acknowledges that students may
construct multiple understandings from a given
interaction
(3) Objective type test items are used as the
primary means of assessment.
(4) Connections between Mathematics and other
curricular areas are highlighted
19. Which of the following statements is in
agreement with the constructionist view of
mathematics?
(1) Mathematics is about learning facts
(2) Mathematicions are required to discover the
‘truths’
(3) Mathematics is entirely objective
(4) Visualisation is an important aspect of
Mathematics
20. Which of the following activities is best
suited for the development of spatial
understanding among children?
(1) Drawing the top view of a bottle
(2) Locating cities on a map
(3) Noting the time of moon rise
(4) Representing numbers on a number line
2
CTET 2019 DEC (CLASS I-V)SOLVED PAPER
21. Which of the following is not true with
respect to the learning of Mathematics?
(1) Ability to perform and excel in Mathematics
is innate
(2) Teachers’ beliefs about learners have
powerful impact on learning outcomes
(3) Students’ socio-economic background
impacts their performance in Mathematics
(4) School’s language of instruction can impact
a child’s performance in Mathematics
22. Identify the type of the following word
problem.
‘‘I have 6 pencils. Manish has two more
than me. How many pencils does Manish
have?’’
(1) Comparison addition
(2) Comparison subtraction
(3) Takeaway addition
(4) Takeaway subtraction
23. Which of the following is not true of the
Hindu-Arabic system of numeration?
(1) The position of a digit in a number dictates
its  value
(2) It is additive in nature
(3) It follows the base 2 system
(4) It is multiplicative in nature
24. Identify a desirable practice for teaching
Geometry at primary level?
(1) Geometry at primary level should be limited
to recognition of simple basic shapes
(2) The teacher should begin by giving clear
definitions of simple shapes and showing
examples
(3) Children should be given ample
opportunities to develop an intuitive
understanding of space
(4) Developing extensive geometric vocabulary
need not be an objective at primary level
25. Which of the following is an indicator of
mathematical reasoning?
(1) Ability to provide definitions of
mathematical concepts
(2) Ability to provide a justification for a
mathematical procedure
(3) Ability to calculate efficiently
(4) Ability to recall the correct formulae in
different situations
26. The price list of vegetables in a super market
is given as follows :
Item Quantity Price (`)
Tomato 1 kg 40
Potato 2 kg 25
Carrot 250 g 20
Bittergourd 1 kg 10
Chillies 100 g 10
Lemon 4 pieces 10
Sanjay buys
1
2
kg tomatoes, 1 kg potatoes,
1
2
kg
carrot, 250 g chillies and 6 lemons. He gives a
note of` 200 to the bill clerk at the counter.
How much money will he get back?
(1) ` 112.50 (2) ` 87.50
(3) ` 86.50 (4) ` 97.50
27. I am a 2 digit number.
The digit in tens place and the digit in units
place are consecutive prime numbers.
The sum of digits is multiple of 3 and 4.
The number is
(1) 57 (2) 23 (3) 35 (4) 13
28. The parking rates of car in a railway station
parking are depicted as follows.
A. Upto 2 h -` 50
B. More than 2 h and upto 5 h -` 75
C. After 5 hrs -` 10 per extra hour upto 8 h.
D. More than 8 h and upto 12 h -` 150
E. More than 12 h and upto 24 h` 250
Rajeev parks his car at 7.00 a.m. and comes
back to pick it up at 4.30 p.m. on the same
day. How much money does he have to pay?
(1) ` 135 (2) ` 150 (3)` 130 (4)` 100
29. Which of the following is at third place when
the numbers are arranged in ascending order?
7.07, 7.70, 7.707, 7.007, 0.77
(1) 7.70 (2) 7.007 (3) 7.07 (4) 7.707
30. In a five digit number, the digit at ten’s place
is 8, digit at units place in one-fourth of the
digit at ten’s place, the digit at thousands
place is 0 digit at hundreds place is twice that
of units place and the digit at ten thousands
place is thrice the digit at unit’s place. What is
the number?
(1) 64082 (2) 64028 (3) 46028 (4) 60482
3
CTET 2019 DEC (CLASS I-V)SOLVED PAPER
Page 4


Directions (Q.Nos. 1-30)Answerthe
followingquestionsbyselectingthe
correct/mostappropriateoptions.
1. Three brands of pens A, B and C are
available in packets of 10, 12 and 24
respectively. If a shopkeeper wants to buy
equal number of pens of each brand, what is
the minimum number of packets of each
brand, he should buy?
(1) A = 10,B = 12 ,C = 5 (2) A = 5 ,B = 12 ,C = 10
(3) A = 10,B = 5 ,C = 12 (4) A = 12 ,B = 10,C = 5
2. The side of a square is 4 cm. It is cut into 4
equal squares. What is the area of each
small square?
(1) 4cm
2
(2) 1cm
2
(3) 16cm
2
(4) 8cm
2
3. Which of the following statements is not
correct?
(1) All prime numbers are odd numbers
(2) There are infinitely many prime numbers
(3) A prime number has only two factors
(4) There are only four single digit prime numbers
4. A number that is divisible by all the
numbers from 1 to 10 (both inclusive) is
(1) 10 (2) 100
(3) 604 (4) 2520
5. Ayesha has only` 5 and` 10 coins with her.
If the total number of coins she has is 25
and the amount of money with her is` 160,
then the number of` 5 and
` 10 coins with her are
(1) 18 and 7 respectively
(2) 10 and 15 respectively
(3) 15 and 10 respectively
(4) 20 and 5 respectively
6. Evaluate 17 5 3 21 7 3 12 5 . . × - ÷ - ×
(1) 52.5 (2) 12 (3) 120 (4) 50
7. One-sixth of the trees in a garden are Neem
trees. Half of the trees are Ashoka trees and
the remaining are Eucalyptus trees. If the
number of Neem trees is five, how many
Eucalyptus trees are there in the garden?
(1) 5 (2) 10 (3) 15 (4) 20
8. A train leaves Delhi on 29th August, 2019
at 16:30 h and reaches its destination on
31st August at 08:45 h. The total travel
time of the journey is
(1) 36 h 15 min
(2) 38 h 45 min
(3) 39 h 45 min
(4) 40 h15 min
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
8 December, 2019
9. In which of the following, lengths have been
arranged in decreasing order?
(1) 8500 mm, 800 cm 8 mm, 80 dm 8 cm, 8 m
(2) 80 dm 8 cm, 8500 mm, 8 m, 800 cm, 8 mm
(3) 8 m, 80 dm 8 cm, 8500 mm, 800 cm, 8 mm
(4) 8500 mm, 80 dm, 8 cm 800 cm 8 mm, 8 m
10. A, 180 cm long wire is formed into a
rectangle. If the width of this rectangle is 30
cm, what is its length?
(1) 45 cm (2) 60 cm
(3) 90 cm (4) 120 cm
11. When asked to write 44, some students of
grade II wrote its as 404. As a teacher, how
will you address this?
(1) correct their answer in their copies
(2) explain principle of exchange using concrete
material
(3) group them with those who have done it
correctly
(4) tell them to find out correct answer
12. The main purpose of introducing ‘mapping’
in the primary Mathematics curriculum
is/are
A. to promote spatial thinking
B. to promote proportional reasoning
C. to make subject easy and interesting
D. to break the monotony of numbers
(1) A and C (2) A and D
(3) A and B (4) B and C
13. Which of the following topics are not part of
primary school Mathematics curriculum as
per NCF 2005?
(1) Tessellation (2) Symmetry
(3) Patterns (4) Ratio
14. Which of the following resources/TLM can be
used by the teacher to show that two
rectangles of different dimensions can have
same area without using formula?
A. Scale B. Graph paper
C. Thread D. Tiles
(1) Only B (2) B and D
(3) Only C (4) A and D
15. Which of the following could be contributing
factor to under achievement in
Mathematics?
(1) Gender
(2) Socio-cultural background
(3) Nature of Mathematics
(4) Innate ability of person
16. Which of the following is the most
appropriate strategy to explain that
1
4
is less
than
1
3
?
(1) using LCM method (2) using paper strips
(3) using Dienes blocks (4) using number chart
17. Which of the following is the most
important aspect of making lesson plan
while teaching Mathematics to primary
school children?
(1) following the sequence of text book
(2) presenting mathematical concepts in structured
manner
(3) providing opportunities to students to allow
construction of concepts
(4) writing activities and questions for reference
18. Which of the following cannot be considered
a feature of a constructivist Mathematics
classroom?
(1) The role of language and dialogue in learning
Mathematics is given due attention
(2) The teacher acknowledges that students may
construct multiple understandings from a given
interaction
(3) Objective type test items are used as the
primary means of assessment.
(4) Connections between Mathematics and other
curricular areas are highlighted
19. Which of the following statements is in
agreement with the constructionist view of
mathematics?
(1) Mathematics is about learning facts
(2) Mathematicions are required to discover the
‘truths’
(3) Mathematics is entirely objective
(4) Visualisation is an important aspect of
Mathematics
20. Which of the following activities is best
suited for the development of spatial
understanding among children?
(1) Drawing the top view of a bottle
(2) Locating cities on a map
(3) Noting the time of moon rise
(4) Representing numbers on a number line
2
CTET 2019 DEC (CLASS I-V)SOLVED PAPER
21. Which of the following is not true with
respect to the learning of Mathematics?
(1) Ability to perform and excel in Mathematics
is innate
(2) Teachers’ beliefs about learners have
powerful impact on learning outcomes
(3) Students’ socio-economic background
impacts their performance in Mathematics
(4) School’s language of instruction can impact
a child’s performance in Mathematics
22. Identify the type of the following word
problem.
‘‘I have 6 pencils. Manish has two more
than me. How many pencils does Manish
have?’’
(1) Comparison addition
(2) Comparison subtraction
(3) Takeaway addition
(4) Takeaway subtraction
23. Which of the following is not true of the
Hindu-Arabic system of numeration?
(1) The position of a digit in a number dictates
its  value
(2) It is additive in nature
(3) It follows the base 2 system
(4) It is multiplicative in nature
24. Identify a desirable practice for teaching
Geometry at primary level?
(1) Geometry at primary level should be limited
to recognition of simple basic shapes
(2) The teacher should begin by giving clear
definitions of simple shapes and showing
examples
(3) Children should be given ample
opportunities to develop an intuitive
understanding of space
(4) Developing extensive geometric vocabulary
need not be an objective at primary level
25. Which of the following is an indicator of
mathematical reasoning?
(1) Ability to provide definitions of
mathematical concepts
(2) Ability to provide a justification for a
mathematical procedure
(3) Ability to calculate efficiently
(4) Ability to recall the correct formulae in
different situations
26. The price list of vegetables in a super market
is given as follows :
Item Quantity Price (`)
Tomato 1 kg 40
Potato 2 kg 25
Carrot 250 g 20
Bittergourd 1 kg 10
Chillies 100 g 10
Lemon 4 pieces 10
Sanjay buys
1
2
kg tomatoes, 1 kg potatoes,
1
2
kg
carrot, 250 g chillies and 6 lemons. He gives a
note of` 200 to the bill clerk at the counter.
How much money will he get back?
(1) ` 112.50 (2) ` 87.50
(3) ` 86.50 (4) ` 97.50
27. I am a 2 digit number.
The digit in tens place and the digit in units
place are consecutive prime numbers.
The sum of digits is multiple of 3 and 4.
The number is
(1) 57 (2) 23 (3) 35 (4) 13
28. The parking rates of car in a railway station
parking are depicted as follows.
A. Upto 2 h -` 50
B. More than 2 h and upto 5 h -` 75
C. After 5 hrs -` 10 per extra hour upto 8 h.
D. More than 8 h and upto 12 h -` 150
E. More than 12 h and upto 24 h` 250
Rajeev parks his car at 7.00 a.m. and comes
back to pick it up at 4.30 p.m. on the same
day. How much money does he have to pay?
(1) ` 135 (2) ` 150 (3)` 130 (4)` 100
29. Which of the following is at third place when
the numbers are arranged in ascending order?
7.07, 7.70, 7.707, 7.007, 0.77
(1) 7.70 (2) 7.007 (3) 7.07 (4) 7.707
30. In a five digit number, the digit at ten’s place
is 8, digit at units place in one-fourth of the
digit at ten’s place, the digit at thousands
place is 0 digit at hundreds place is twice that
of units place and the digit at ten thousands
place is thrice the digit at unit’s place. What is
the number?
(1) 64082 (2) 64028 (3) 46028 (4) 60482
3
CTET 2019 DEC (CLASS I-V)SOLVED PAPER
ANSWERS
1. (4) Take the LCM of all the three packets to get the
required number of pens.
2 10, 12, 24
2 5,   6, 12
3 5,   3,   6
5,   1,   2
LCM = × × × × 2 2 3 5 2 = 120
Therefore, the minimum number of packets from each
brand
A =
120
10
= 12, B =
120
12
= 10, C =
120
24
= 5
Hence,A = 12,B = 10,C = 5
2. (1) Given, side of a square = 4 cm
Area of square = (side)
2
Area of square = × 4 4 = 16 cm
2
Square is divided into 4 equal parts.
Hence, area of each square =
16
4
= 4 cm
2
3. (1) ‘All prime numbers are odd numbers’ is not a
correct statements because 2 is a prime number but it is
not an odd number.
4. (4) Take LCM of all the numbers from 1 to 10
2 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
2 1, 1, 3, 2, 5, 3, 7, 4, 9, 5
3 1,1, 3, 1, 5, 3, 7, 2, 9, 5
5 1, 1, 1, 1, 5, 1, 7, 2, 3, 5
1, 1, 1, 1, 1, 1, 7, 2, 3, 1
LCM = × × × × × × 2 2 3 5 7 2 3 = 2520
Hence, 2520 is divisible by all the number of 1 to 10.
5. (1) Let the number of` 5 coins be ‘x’ and the number
of` 10 coins be ‘y’.
Total number of coins given,
x y + = 25 …(i)
Total amount of money
5 10 160 x y + = …(ii)
Now, on solving Eqs. (i) and (ii), we get
5 10 160 x y + =
5 5 125 x y + =
- - -
5 35 y =
y = 7
x = 18
Hence, number of` 5 coins = 18
and number of` 10 coins = 7
6. (2)17 5 3 21 7 3 125 . . × - ÷ - ×
By applying BODMAS rule,
17.5 12.5 × - - × 3 3 3
525 3 37 5 . . - - = - 49.5 37 5 . = 12.0
7. (2) Let the total number of trees be ‘x’
Number of Neem trees =
1
6
x
Number of Ashoka trees =
1
2
x
Therefore, number of Eucalyptus trees
= - +
?
?
?
?
?
?
x
x x
6 2
= - x
x 4
6
=
2
6
x
=
x
3
Number of Neem trees is given 5.
1
6
5 x = ? x = × 6 5 ? x = 30
Hence, total number of trees = 30
Hence, number of Eucalyptus trees =
30
3
= 10
8. (4) Given, Train leaves on 29th August, 2019 at 16 : 30
h and reaches destination at 08:45 h on 31st August, 2019
Total travel time = 36 h + 4.15 h = 40 h 15 min
9. (4) Converting all the measurements in ‘metre’.
8500 mm = 8 5 . m
80 dm 8 cm = 8 08 . m
800 cm 8 mm = 8 008 . m
Now, arranging all the values in decreasing orders
8.5 > 8.08 > 8.008 > 8
Hence, option (4) satisfies the answer.
10. (2) Given, length of the wire = 180 cm
When the wire is formed into a rectangle, its length is the
perimeter of the rectangle.
[l = length of the rectangle, b = width of the rectangle]
1 (4) 2 (1) 3 (1) 4 (4) 5 (1) 6 (2) 7 (2) 8 (4) 9 (4) 10 (2)
11 (2) 12 (3) 13 (4) 14 (2) 15 (2) 16 (2) 17 (3) 18 (3) 19 (4) 20 (1)
21 (1) 22 (1) 23 (3) 24 (3) 25 (2) 26 (2) 27 (1) 28 (2) 29 (3) 30 (4)
sOLVED PAPER 2019 Hints & Solutions
Page 5


Directions (Q.Nos. 1-30)Answerthe
followingquestionsbyselectingthe
correct/mostappropriateoptions.
1. Three brands of pens A, B and C are
available in packets of 10, 12 and 24
respectively. If a shopkeeper wants to buy
equal number of pens of each brand, what is
the minimum number of packets of each
brand, he should buy?
(1) A = 10,B = 12 ,C = 5 (2) A = 5 ,B = 12 ,C = 10
(3) A = 10,B = 5 ,C = 12 (4) A = 12 ,B = 10,C = 5
2. The side of a square is 4 cm. It is cut into 4
equal squares. What is the area of each
small square?
(1) 4cm
2
(2) 1cm
2
(3) 16cm
2
(4) 8cm
2
3. Which of the following statements is not
correct?
(1) All prime numbers are odd numbers
(2) There are infinitely many prime numbers
(3) A prime number has only two factors
(4) There are only four single digit prime numbers
4. A number that is divisible by all the
numbers from 1 to 10 (both inclusive) is
(1) 10 (2) 100
(3) 604 (4) 2520
5. Ayesha has only` 5 and` 10 coins with her.
If the total number of coins she has is 25
and the amount of money with her is` 160,
then the number of` 5 and
` 10 coins with her are
(1) 18 and 7 respectively
(2) 10 and 15 respectively
(3) 15 and 10 respectively
(4) 20 and 5 respectively
6. Evaluate 17 5 3 21 7 3 12 5 . . × - ÷ - ×
(1) 52.5 (2) 12 (3) 120 (4) 50
7. One-sixth of the trees in a garden are Neem
trees. Half of the trees are Ashoka trees and
the remaining are Eucalyptus trees. If the
number of Neem trees is five, how many
Eucalyptus trees are there in the garden?
(1) 5 (2) 10 (3) 15 (4) 20
8. A train leaves Delhi on 29th August, 2019
at 16:30 h and reaches its destination on
31st August at 08:45 h. The total travel
time of the journey is
(1) 36 h 15 min
(2) 38 h 45 min
(3) 39 h 45 min
(4) 40 h15 min
CTET SOLVED PAPERS
Paper - 1 (Mathemati cs)
8 December, 2019
9. In which of the following, lengths have been
arranged in decreasing order?
(1) 8500 mm, 800 cm 8 mm, 80 dm 8 cm, 8 m
(2) 80 dm 8 cm, 8500 mm, 8 m, 800 cm, 8 mm
(3) 8 m, 80 dm 8 cm, 8500 mm, 800 cm, 8 mm
(4) 8500 mm, 80 dm, 8 cm 800 cm 8 mm, 8 m
10. A, 180 cm long wire is formed into a
rectangle. If the width of this rectangle is 30
cm, what is its length?
(1) 45 cm (2) 60 cm
(3) 90 cm (4) 120 cm
11. When asked to write 44, some students of
grade II wrote its as 404. As a teacher, how
will you address this?
(1) correct their answer in their copies
(2) explain principle of exchange using concrete
material
(3) group them with those who have done it
correctly
(4) tell them to find out correct answer
12. The main purpose of introducing ‘mapping’
in the primary Mathematics curriculum
is/are
A. to promote spatial thinking
B. to promote proportional reasoning
C. to make subject easy and interesting
D. to break the monotony of numbers
(1) A and C (2) A and D
(3) A and B (4) B and C
13. Which of the following topics are not part of
primary school Mathematics curriculum as
per NCF 2005?
(1) Tessellation (2) Symmetry
(3) Patterns (4) Ratio
14. Which of the following resources/TLM can be
used by the teacher to show that two
rectangles of different dimensions can have
same area without using formula?
A. Scale B. Graph paper
C. Thread D. Tiles
(1) Only B (2) B and D
(3) Only C (4) A and D
15. Which of the following could be contributing
factor to under achievement in
Mathematics?
(1) Gender
(2) Socio-cultural background
(3) Nature of Mathematics
(4) Innate ability of person
16. Which of the following is the most
appropriate strategy to explain that
1
4
is less
than
1
3
?
(1) using LCM method (2) using paper strips
(3) using Dienes blocks (4) using number chart
17. Which of the following is the most
important aspect of making lesson plan
while teaching Mathematics to primary
school children?
(1) following the sequence of text book
(2) presenting mathematical concepts in structured
manner
(3) providing opportunities to students to allow
construction of concepts
(4) writing activities and questions for reference
18. Which of the following cannot be considered
a feature of a constructivist Mathematics
classroom?
(1) The role of language and dialogue in learning
Mathematics is given due attention
(2) The teacher acknowledges that students may
construct multiple understandings from a given
interaction
(3) Objective type test items are used as the
primary means of assessment.
(4) Connections between Mathematics and other
curricular areas are highlighted
19. Which of the following statements is in
agreement with the constructionist view of
mathematics?
(1) Mathematics is about learning facts
(2) Mathematicions are required to discover the
‘truths’
(3) Mathematics is entirely objective
(4) Visualisation is an important aspect of
Mathematics
20. Which of the following activities is best
suited for the development of spatial
understanding among children?
(1) Drawing the top view of a bottle
(2) Locating cities on a map
(3) Noting the time of moon rise
(4) Representing numbers on a number line
2
CTET 2019 DEC (CLASS I-V)SOLVED PAPER
21. Which of the following is not true with
respect to the learning of Mathematics?
(1) Ability to perform and excel in Mathematics
is innate
(2) Teachers’ beliefs about learners have
powerful impact on learning outcomes
(3) Students’ socio-economic background
impacts their performance in Mathematics
(4) School’s language of instruction can impact
a child’s performance in Mathematics
22. Identify the type of the following word
problem.
‘‘I have 6 pencils. Manish has two more
than me. How many pencils does Manish
have?’’
(1) Comparison addition
(2) Comparison subtraction
(3) Takeaway addition
(4) Takeaway subtraction
23. Which of the following is not true of the
Hindu-Arabic system of numeration?
(1) The position of a digit in a number dictates
its  value
(2) It is additive in nature
(3) It follows the base 2 system
(4) It is multiplicative in nature
24. Identify a desirable practice for teaching
Geometry at primary level?
(1) Geometry at primary level should be limited
to recognition of simple basic shapes
(2) The teacher should begin by giving clear
definitions of simple shapes and showing
examples
(3) Children should be given ample
opportunities to develop an intuitive
understanding of space
(4) Developing extensive geometric vocabulary
need not be an objective at primary level
25. Which of the following is an indicator of
mathematical reasoning?
(1) Ability to provide definitions of
mathematical concepts
(2) Ability to provide a justification for a
mathematical procedure
(3) Ability to calculate efficiently
(4) Ability to recall the correct formulae in
different situations
26. The price list of vegetables in a super market
is given as follows :
Item Quantity Price (`)
Tomato 1 kg 40
Potato 2 kg 25
Carrot 250 g 20
Bittergourd 1 kg 10
Chillies 100 g 10
Lemon 4 pieces 10
Sanjay buys
1
2
kg tomatoes, 1 kg potatoes,
1
2
kg
carrot, 250 g chillies and 6 lemons. He gives a
note of` 200 to the bill clerk at the counter.
How much money will he get back?
(1) ` 112.50 (2) ` 87.50
(3) ` 86.50 (4) ` 97.50
27. I am a 2 digit number.
The digit in tens place and the digit in units
place are consecutive prime numbers.
The sum of digits is multiple of 3 and 4.
The number is
(1) 57 (2) 23 (3) 35 (4) 13
28. The parking rates of car in a railway station
parking are depicted as follows.
A. Upto 2 h -` 50
B. More than 2 h and upto 5 h -` 75
C. After 5 hrs -` 10 per extra hour upto 8 h.
D. More than 8 h and upto 12 h -` 150
E. More than 12 h and upto 24 h` 250
Rajeev parks his car at 7.00 a.m. and comes
back to pick it up at 4.30 p.m. on the same
day. How much money does he have to pay?
(1) ` 135 (2) ` 150 (3)` 130 (4)` 100
29. Which of the following is at third place when
the numbers are arranged in ascending order?
7.07, 7.70, 7.707, 7.007, 0.77
(1) 7.70 (2) 7.007 (3) 7.07 (4) 7.707
30. In a five digit number, the digit at ten’s place
is 8, digit at units place in one-fourth of the
digit at ten’s place, the digit at thousands
place is 0 digit at hundreds place is twice that
of units place and the digit at ten thousands
place is thrice the digit at unit’s place. What is
the number?
(1) 64082 (2) 64028 (3) 46028 (4) 60482
3
CTET 2019 DEC (CLASS I-V)SOLVED PAPER
ANSWERS
1. (4) Take the LCM of all the three packets to get the
required number of pens.
2 10, 12, 24
2 5,   6, 12
3 5,   3,   6
5,   1,   2
LCM = × × × × 2 2 3 5 2 = 120
Therefore, the minimum number of packets from each
brand
A =
120
10
= 12, B =
120
12
= 10, C =
120
24
= 5
Hence,A = 12,B = 10,C = 5
2. (1) Given, side of a square = 4 cm
Area of square = (side)
2
Area of square = × 4 4 = 16 cm
2
Square is divided into 4 equal parts.
Hence, area of each square =
16
4
= 4 cm
2
3. (1) ‘All prime numbers are odd numbers’ is not a
correct statements because 2 is a prime number but it is
not an odd number.
4. (4) Take LCM of all the numbers from 1 to 10
2 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
2 1, 1, 3, 2, 5, 3, 7, 4, 9, 5
3 1,1, 3, 1, 5, 3, 7, 2, 9, 5
5 1, 1, 1, 1, 5, 1, 7, 2, 3, 5
1, 1, 1, 1, 1, 1, 7, 2, 3, 1
LCM = × × × × × × 2 2 3 5 7 2 3 = 2520
Hence, 2520 is divisible by all the number of 1 to 10.
5. (1) Let the number of` 5 coins be ‘x’ and the number
of` 10 coins be ‘y’.
Total number of coins given,
x y + = 25 …(i)
Total amount of money
5 10 160 x y + = …(ii)
Now, on solving Eqs. (i) and (ii), we get
5 10 160 x y + =
5 5 125 x y + =
- - -
5 35 y =
y = 7
x = 18
Hence, number of` 5 coins = 18
and number of` 10 coins = 7
6. (2)17 5 3 21 7 3 125 . . × - ÷ - ×
By applying BODMAS rule,
17.5 12.5 × - - × 3 3 3
525 3 37 5 . . - - = - 49.5 37 5 . = 12.0
7. (2) Let the total number of trees be ‘x’
Number of Neem trees =
1
6
x
Number of Ashoka trees =
1
2
x
Therefore, number of Eucalyptus trees
= - +
?
?
?
?
?
?
x
x x
6 2
= - x
x 4
6
=
2
6
x
=
x
3
Number of Neem trees is given 5.
1
6
5 x = ? x = × 6 5 ? x = 30
Hence, total number of trees = 30
Hence, number of Eucalyptus trees =
30
3
= 10
8. (4) Given, Train leaves on 29th August, 2019 at 16 : 30
h and reaches destination at 08:45 h on 31st August, 2019
Total travel time = 36 h + 4.15 h = 40 h 15 min
9. (4) Converting all the measurements in ‘metre’.
8500 mm = 8 5 . m
80 dm 8 cm = 8 08 . m
800 cm 8 mm = 8 008 . m
Now, arranging all the values in decreasing orders
8.5 > 8.08 > 8.008 > 8
Hence, option (4) satisfies the answer.
10. (2) Given, length of the wire = 180 cm
When the wire is formed into a rectangle, its length is the
perimeter of the rectangle.
[l = length of the rectangle, b = width of the rectangle]
1 (4) 2 (1) 3 (1) 4 (4) 5 (1) 6 (2) 7 (2) 8 (4) 9 (4) 10 (2)
11 (2) 12 (3) 13 (4) 14 (2) 15 (2) 16 (2) 17 (3) 18 (3) 19 (4) 20 (1)
21 (1) 22 (1) 23 (3) 24 (3) 25 (2) 26 (2) 27 (1) 28 (2) 29 (3) 30 (4)
sOLVED PAPER 2019 Hints & Solutions
Therefore, 2 180 ( ) l b + =
Given, width (b) of the rectangle = 30 cm
2 180 ( ) l b + =
? 2 30 180 ( ) l + = ? l + = 30 90
? l = 60 cm
?Length of the rectangle is 60 cm
11. (2) To correct the mistake, students must be explained
the principle of exchange using concrete material.
12. (3) The main purpose of introducing mapping in the
primary Mathematics curriculum is to promote spatial
thinking and to promote proportional reasoning.
13. (4) Ratio is not the part of primary school Mathematics
curriculum as per NCF 2005.
14. (2) Graph paper and tiles can be used by the teacher
to show that two rectangles of different dimensions can
have same area without using formula.
15. (2) Socio-cultural background could be a contributing
factor to under achievement in Mathematics.
16. (2) Using paper strips is the most appropriate
strategy to explain that
1
4
is less than
1
3
·
17. (3) Providing opportunities to students to allow
construction of concepts is the most important aspect for
making lesson plan while teaching Mathematics to
primary school children.
18. (3) Objective type test items are used as the primary
means of assessment can not be considered a feature of a
constructivist Mathematics classroom.
19. (4) Visualisation is an important aspect of
Mathematics is in agreement with the constructional
view of Mathematics.
20. (1) Drawing the top view of a bottle is best suited for
the development of spatial understanding among
children.
21. (1) Ability to perform and excel in Mathematics is
innate not true with respect to the learning of
Mathematics.
22. (1) The problem given in question is an example of
comparison addition. In an additive comparison, we find
the relation between two amounts by asking how much
(more or less) is one compared to the other.
23. (3) Hindu-Arabic system of numeration doesn’t
follow base 2 system. The Hindu-Arabic numeral system
is an Indian positional decimal numeral system, and is the
most common system for the symbolic representation of
numbers in the world. The system is based upon ten
(originally nine) glyphs.
24. (3) Children should be given ample opportunities to
develop an intuitive understanding of space is a desirable
practice for teaching geometry at primary level.
25. (2) Ability to provide a justification for a
Mathematical procedure is an indicator of Mathematical
reasoning.
26. (2) Cost of 1 kg tomatoes =` 40
Therefore, cost of
1
2
kg tomatoes =` 20
Cost of 2 kg potatoes =` 25
Therefore, cost of 1 kg potatoes =` 12.5
Cost of 250 g carrot =` 20
i.e. Cost of1 4 / kg carrot =` 20
?Cost of 1 kg carrot =` 80
So, cost of1 2 / kg carrot =` 40
Cost of 100 g chillies =` 10
Therefore, cost of 250 g chillies =` 25
Cost of 4 lemons =` 10
Therefore, cost of 6 lemons = × 10 4 6 / =` 15
Hence, total cost of all the purchased items
= + + + + 20 125 40 25 15 . =` 112.5
Money that he will get back
=` 200 -` 112.5 =` 87.50
27. (1) Let tenth place digit = x
and unit place digit = y
Therefore, two digit number = + 10x y
The sum of digit is multiple of 3 and 4
Hence, the number must be 12.
Numbers must be consecutive prime numbers, hence the
numbers are 5 and 7 as 5 7 12 + = .
Hence, the two digit number = + 50 7 = 57
28. (2) Car is parked from 7.00 am to 4.30 pm
Total hours = 9
1
2
h
Charges for the first 2 h =` 50
Charges for the next 5 h =` 75
Charges for the extra 2
1
2
h = + + 10 10 5 =` 25
Hence, the total charged money for parking
=` 50 +` 75 +` 25 =` 150
29. (3) Given, 7.07, 7.70, 7.707, 7.007, 0.77
After arranging in ascending order
0.77, 7.007, 7.07, 7.70, 7.707
Hence, the number at the third place is 7.07.
30. (4) The digit at ten’s place = 8
Digit at unit’s place = ×
1
4
8 (digit at ten’s place) = 2
Digit at thousands place is 0.
Digit at hundreds place
= × 2 digit at units place = × 2 2 = 4
Digit at ten thousands place
= × 3 digit at unit’s place = × 3 2 = 6
Hence, the 5 digit number is 60482
5
CTET 2019 DEC (CLASS I-V)SOLVED PAPER