CTET Solved Question Paper - 1 (07 July - 2019) | Mathematics & Pedagogy Paper 1 for CTET & TET Exams - CTET & State TET PDF Download

 Page 1


1. Which of the following isnot an effective strategy to assess primary level students learning in
Mathematics?
(1) Using primarily group administered tasks.
(2) Designing tasks to differentiate between rote memorisation and conceptual understanding.
(3) Analysing children’s errors to understand their reasoning.
(4) Designing tasks which elicit more than one level of response.
2. Which of the following isnot a characteristic of effective Mathematics pedagogy?
(1) Making connections with everyday experiences.
(2) Using various teaching-learning strategies for a single concept.
(3) Following strict time rules when introducing a new concept.
(4) Focussing patterns of students errors.
3. In a school, half of students play badminton, one-fourth (1/4th) play volleyball, one-eighth (1/8th)
play tennis, one-sixteenth (1/16th) play chess and remaining go for swimming. If the number of
students playing volleyball is 160, how many students play chess?
(1) 20 (2) 40 (3) 120 (4) 80
4.
How many quarters are there in 18
3
4
?
(1) 35 (2) 68 (3) 75 (4) 72
5. Digits 2, 3, 4, 6, 7, 8 are arranged in the following blanks :
______ ______ ______
+ ______ ______ ______
The largest possible number after addition is
(1) 1308 (2) 808 (3) 1605 (4) 1560
CTET SOLVED PAPER S
Paper - 1 (Mathe matics)
07 J uly, 201 9
Page 2


1. Which of the following isnot an effective strategy to assess primary level students learning in
Mathematics?
(1) Using primarily group administered tasks.
(2) Designing tasks to differentiate between rote memorisation and conceptual understanding.
(3) Analysing children’s errors to understand their reasoning.
(4) Designing tasks which elicit more than one level of response.
2. Which of the following isnot a characteristic of effective Mathematics pedagogy?
(1) Making connections with everyday experiences.
(2) Using various teaching-learning strategies for a single concept.
(3) Following strict time rules when introducing a new concept.
(4) Focussing patterns of students errors.
3. In a school, half of students play badminton, one-fourth (1/4th) play volleyball, one-eighth (1/8th)
play tennis, one-sixteenth (1/16th) play chess and remaining go for swimming. If the number of
students playing volleyball is 160, how many students play chess?
(1) 20 (2) 40 (3) 120 (4) 80
4.
How many quarters are there in 18
3
4
?
(1) 35 (2) 68 (3) 75 (4) 72
5. Digits 2, 3, 4, 6, 7, 8 are arranged in the following blanks :
______ ______ ______
+ ______ ______ ______
The largest possible number after addition is
(1) 1308 (2) 808 (3) 1605 (4) 1560
CTET SOLVED PAPER S
Paper - 1 (Mathe matics)
07 J uly, 201 9
6. Deepa goes to a post-office to post/mail
letters and parcels. The postal rates depicted
are as below :
Letter Weighing :
(i) 20 g or less - ` 5.00
(ii) Per every additional 20 g - ` 2.00
Parcel Weighing :
(i) 50 g or less - ` 5.00
(ii) For every additional 50 g - ` 3.00
Deepa wants to send two parcels weighing 250 g
and 300 g respectively and two letters each to 20 g
and 35 g respectively. How much postal charge
does she have to pay?
(1) ` 49 (2) ` 41 (3) ` 48 (4) ` 39
7. A whole number is added to 50 and the same
number is subtracted from 50. The sum of
the resulting numbers is
(1) 100 (2) 25 (3) 50 (4) 0
8. Read the following Railway timings of
New Delhi - Chennai Rajdhani Express and
answer the question:
Station Arrival Departure
New Delhi - 15 : 55
Bhopal 23 : 55 00 : 05
Nagpur 05 : 25 05 : 35
Vijaywada 14 : 15 14 : 30
Chennai 20 : 45 end
Which of the following statements is true?
(1) The duration of journey from Bhopal to
Chennai is 21 h 40 min.
(2) The duration of journey from Bhopal to
Vijaywada is 13 h 10 min.
(3) The duration of journey from Nagpur to
Chennai is 15 h 10 min.
(4) The duration of journey from New Delhi to
Nagpur is 11 h 30 min.
9.
A beaker is
3
7
th filled with water. Another 16
L of water is needed to fill the beaker to its
brim. What is the capacity of the beaker?
(1) 28 L (2) 14 L (3) 50 L (4) 100 L
10. Which of the following represents descending
order of numbers?
(1) 30.5, 3.05, 3.055, 3.50, 3.005, 0.355
(2) 3.05, 3.005, 3.50, 3.055, 30.5, 0.355
(3) 30.5, 3.50, 3.055, 3.05, 3.005, 0.355
(4) 30.5, 3.50, 3.05, 3.055, 3.005, 0.355
11. A shopkeeper mixed 5.3 kg of almonds, 2100
g of raisin, 2.2 kg of cashews and packed the
mixture equally into two dozen packets.
What is the weight to each packet?
(1) 500 g (2) 300 g (3) 400 g (4) 450 g
12. Asha plans to save some money from
household expenditure to buy a mobile
phone. Every week she saves ` 50 on
Monday, ` 100 on Wednesday and ` 80 on
Friday and spends ` 60 from this on Sunday.
How many weeks would she take to save
enough to buy a mobile phone of ` 5950?
(1) 40 (2) 25 (3) 35 (4) 30
13. What number am I?
I am a 2 digit even number.
I am common multiple of 3, 4, 6.
I have total 9 factors.
(1) 36 (2) 48 (3) 56 (4) 24
14. If ( ) ( 11011
2
= __________)
10
, then number in
the blank space is
(1) 33 (2) 22
(3) 27 (4) 30
15. The side of a square is 10 cm. How many
times will the new perimeter become if the
side of the square is doubled?
(1) 2 times (2) Remains same
(3) 4 times (4) 3 times
16. Which of the following letters have both
horizontal and vertical lines of symmetry?
(1) Y (2) A
(3) X (4) C
17. What is the correct sequence a teacher of
Class-III needs to follow to explain the
concept of ‘Quarter’ (1/4) to the students?
(A)Write symbol of Quarter on black board.
(B)Provide concrete material and divides
into Quarters.
(C)Show pictures representing ‘Quarter’.
(1) (C), (A), (B) (2) (A), (B), (C)
(3) (A), (C), (B) (4) (B), (C), (A)
18. 72 28 36 4 × = × × ……… .The number in the
blank is
(A)multiple of 7 (B) a prime number
(C)less than 10 (D) an even number
(E)factor of 56
Which of the following is correct?
(1) (A), (D), (E) (2) (A), (B), (C)
(3) (A), (D), (B) (4) (C), (D), (E)
04
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)
Page 3


1. Which of the following isnot an effective strategy to assess primary level students learning in
Mathematics?
(1) Using primarily group administered tasks.
(2) Designing tasks to differentiate between rote memorisation and conceptual understanding.
(3) Analysing children’s errors to understand their reasoning.
(4) Designing tasks which elicit more than one level of response.
2. Which of the following isnot a characteristic of effective Mathematics pedagogy?
(1) Making connections with everyday experiences.
(2) Using various teaching-learning strategies for a single concept.
(3) Following strict time rules when introducing a new concept.
(4) Focussing patterns of students errors.
3. In a school, half of students play badminton, one-fourth (1/4th) play volleyball, one-eighth (1/8th)
play tennis, one-sixteenth (1/16th) play chess and remaining go for swimming. If the number of
students playing volleyball is 160, how many students play chess?
(1) 20 (2) 40 (3) 120 (4) 80
4.
How many quarters are there in 18
3
4
?
(1) 35 (2) 68 (3) 75 (4) 72
5. Digits 2, 3, 4, 6, 7, 8 are arranged in the following blanks :
______ ______ ______
+ ______ ______ ______
The largest possible number after addition is
(1) 1308 (2) 808 (3) 1605 (4) 1560
CTET SOLVED PAPER S
Paper - 1 (Mathe matics)
07 J uly, 201 9
6. Deepa goes to a post-office to post/mail
letters and parcels. The postal rates depicted
are as below :
Letter Weighing :
(i) 20 g or less - ` 5.00
(ii) Per every additional 20 g - ` 2.00
Parcel Weighing :
(i) 50 g or less - ` 5.00
(ii) For every additional 50 g - ` 3.00
Deepa wants to send two parcels weighing 250 g
and 300 g respectively and two letters each to 20 g
and 35 g respectively. How much postal charge
does she have to pay?
(1) ` 49 (2) ` 41 (3) ` 48 (4) ` 39
7. A whole number is added to 50 and the same
number is subtracted from 50. The sum of
the resulting numbers is
(1) 100 (2) 25 (3) 50 (4) 0
8. Read the following Railway timings of
New Delhi - Chennai Rajdhani Express and
answer the question:
Station Arrival Departure
New Delhi - 15 : 55
Bhopal 23 : 55 00 : 05
Nagpur 05 : 25 05 : 35
Vijaywada 14 : 15 14 : 30
Chennai 20 : 45 end
Which of the following statements is true?
(1) The duration of journey from Bhopal to
Chennai is 21 h 40 min.
(2) The duration of journey from Bhopal to
Vijaywada is 13 h 10 min.
(3) The duration of journey from Nagpur to
Chennai is 15 h 10 min.
(4) The duration of journey from New Delhi to
Nagpur is 11 h 30 min.
9.
A beaker is
3
7
th filled with water. Another 16
L of water is needed to fill the beaker to its
brim. What is the capacity of the beaker?
(1) 28 L (2) 14 L (3) 50 L (4) 100 L
10. Which of the following represents descending
order of numbers?
(1) 30.5, 3.05, 3.055, 3.50, 3.005, 0.355
(2) 3.05, 3.005, 3.50, 3.055, 30.5, 0.355
(3) 30.5, 3.50, 3.055, 3.05, 3.005, 0.355
(4) 30.5, 3.50, 3.05, 3.055, 3.005, 0.355
11. A shopkeeper mixed 5.3 kg of almonds, 2100
g of raisin, 2.2 kg of cashews and packed the
mixture equally into two dozen packets.
What is the weight to each packet?
(1) 500 g (2) 300 g (3) 400 g (4) 450 g
12. Asha plans to save some money from
household expenditure to buy a mobile
phone. Every week she saves ` 50 on
Monday, ` 100 on Wednesday and ` 80 on
Friday and spends ` 60 from this on Sunday.
How many weeks would she take to save
enough to buy a mobile phone of ` 5950?
(1) 40 (2) 25 (3) 35 (4) 30
13. What number am I?
I am a 2 digit even number.
I am common multiple of 3, 4, 6.
I have total 9 factors.
(1) 36 (2) 48 (3) 56 (4) 24
14. If ( ) ( 11011
2
= __________)
10
, then number in
the blank space is
(1) 33 (2) 22
(3) 27 (4) 30
15. The side of a square is 10 cm. How many
times will the new perimeter become if the
side of the square is doubled?
(1) 2 times (2) Remains same
(3) 4 times (4) 3 times
16. Which of the following letters have both
horizontal and vertical lines of symmetry?
(1) Y (2) A
(3) X (4) C
17. What is the correct sequence a teacher of
Class-III needs to follow to explain the
concept of ‘Quarter’ (1/4) to the students?
(A)Write symbol of Quarter on black board.
(B)Provide concrete material and divides
into Quarters.
(C)Show pictures representing ‘Quarter’.
(1) (C), (A), (B) (2) (A), (B), (C)
(3) (A), (C), (B) (4) (B), (C), (A)
18. 72 28 36 4 × = × × ……… .The number in the
blank is
(A)multiple of 7 (B) a prime number
(C)less than 10 (D) an even number
(E)factor of 56
Which of the following is correct?
(1) (A), (D), (E) (2) (A), (B), (C)
(3) (A), (D), (B) (4) (C), (D), (E)
04
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)
19. How will you cater to the needs of visually
challenged students of your classroom in an
inclusive school?
(1) Provide them extra time for practice.
(2) Make them sit with high achievers.
(3) Use alternate teaching-learning methods and
resources.
(4) Send them to special educator.
20. A Class-III student perform multiplication of
16 25 × as follows
16 25 8 2 5 5 × = × × ×
= × × × 8 5 2 5 = × 40 10 = 400
Which property of multiplication has the
student used in this question?
(1) Inverse multiplication law
(2) Distributive law
(3) Associative law
(4) Repeated addition
21. Which of the following isnot a Mathematical
process?
(1) Estimation (2) Transposition
(3) Visualisation (4) Memorisation
22. Which of the following isnot related to early
number concept?
(1) Measurement (2) Classification
(3) Class inclusion (4) Conservation
23. Which of the following statements is true
regarding ‘Numeral’ and ‘Number’ ?
(I) A numeral is a symbol used to represent
number.
(II) Same number can be represented by
different numerals.
(1) Both (I) and (II) are correct.
(2) Both (I) and (II) are incorrect.
(3) (I) is correct and (II) is incorrect.
(4) (II) is correct and (I) is incorrect
24. Read the following word problems on
addition
A. There are 15 oranges in one basket and
17 oranges in another basket. How many
oranges are there altogether?
B. The price of a mobile phone which is for
` 9950 is increased by ` 375 after budget.
What is the new price?
Which of the following statements is correct ?
(1) Both represents augmentation structure of
addition.
(2) ‘A’ represents augmentation structure of
addition whereas ‘B’ represents aggregation
structure of addition.
(3) ‘A’ represents aggregation structure of
addition whereas ‘B’ represents augmentation
structure of addition.
(4) Both represents aggregation structure of
addition.
25. Identify the correct statement about the
ability to conserve different physical
quantities in ‘measurement’ as proposed by
Piaget.
(1) Conservation of length is grasped before
conservation of number.
(2) Conservation of weight is grasped before
conservation of volume.
(3) Conservation of volume is grasped before
conservation of mass.
(4) Conservation of weight is grasped before
conservation of number.
26. A teacher gives the following task to the
students of class-IV :
‘‘Arrange 25 tiles in all possible rectangular
arrays.’’
Which of the following Mathematical
concepts can be addressed through this
task?
(1) Area, volume, length
(2) Volume, area, length
(3) Area, factors, perimeter
(4) Area, perimeter, volume
27. Which one of the following sets are problem
solving strategies in Mathematics?
(1) Memorisation, Guess & test, drawing
(2) Trial-error, drawing, memorisation
(3) Drawing, working back, rote learning
(4) Reasoning, using variable, look for a pattern
28. Van Hiele’s levels refers to stages in the
development of
(1) fractions (2) number concept
(3) place value (4) geometrical thinking
29. As per the recommendation of NCF 2005,
primary school mathematics curriculum
should
(1) prepare children for advanced Mathematics.
(2) relate to children’s everyday experiences.
(3) focus on procedural knowledge.
(4) provide rigour in mathematical concepts.
30. Which of the following teaching-learning
resources is best suited to explain the
concept of multiplication of two decimal
numbers say 03 0 2 006 . . . × = ?
(1) Graph paper (2) Dienes blocks
(3) Taylor’s abacus (4) Number chart
05
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)
Page 4


1. Which of the following isnot an effective strategy to assess primary level students learning in
Mathematics?
(1) Using primarily group administered tasks.
(2) Designing tasks to differentiate between rote memorisation and conceptual understanding.
(3) Analysing children’s errors to understand their reasoning.
(4) Designing tasks which elicit more than one level of response.
2. Which of the following isnot a characteristic of effective Mathematics pedagogy?
(1) Making connections with everyday experiences.
(2) Using various teaching-learning strategies for a single concept.
(3) Following strict time rules when introducing a new concept.
(4) Focussing patterns of students errors.
3. In a school, half of students play badminton, one-fourth (1/4th) play volleyball, one-eighth (1/8th)
play tennis, one-sixteenth (1/16th) play chess and remaining go for swimming. If the number of
students playing volleyball is 160, how many students play chess?
(1) 20 (2) 40 (3) 120 (4) 80
4.
How many quarters are there in 18
3
4
?
(1) 35 (2) 68 (3) 75 (4) 72
5. Digits 2, 3, 4, 6, 7, 8 are arranged in the following blanks :
______ ______ ______
+ ______ ______ ______
The largest possible number after addition is
(1) 1308 (2) 808 (3) 1605 (4) 1560
CTET SOLVED PAPER S
Paper - 1 (Mathe matics)
07 J uly, 201 9
6. Deepa goes to a post-office to post/mail
letters and parcels. The postal rates depicted
are as below :
Letter Weighing :
(i) 20 g or less - ` 5.00
(ii) Per every additional 20 g - ` 2.00
Parcel Weighing :
(i) 50 g or less - ` 5.00
(ii) For every additional 50 g - ` 3.00
Deepa wants to send two parcels weighing 250 g
and 300 g respectively and two letters each to 20 g
and 35 g respectively. How much postal charge
does she have to pay?
(1) ` 49 (2) ` 41 (3) ` 48 (4) ` 39
7. A whole number is added to 50 and the same
number is subtracted from 50. The sum of
the resulting numbers is
(1) 100 (2) 25 (3) 50 (4) 0
8. Read the following Railway timings of
New Delhi - Chennai Rajdhani Express and
answer the question:
Station Arrival Departure
New Delhi - 15 : 55
Bhopal 23 : 55 00 : 05
Nagpur 05 : 25 05 : 35
Vijaywada 14 : 15 14 : 30
Chennai 20 : 45 end
Which of the following statements is true?
(1) The duration of journey from Bhopal to
Chennai is 21 h 40 min.
(2) The duration of journey from Bhopal to
Vijaywada is 13 h 10 min.
(3) The duration of journey from Nagpur to
Chennai is 15 h 10 min.
(4) The duration of journey from New Delhi to
Nagpur is 11 h 30 min.
9.
A beaker is
3
7
th filled with water. Another 16
L of water is needed to fill the beaker to its
brim. What is the capacity of the beaker?
(1) 28 L (2) 14 L (3) 50 L (4) 100 L
10. Which of the following represents descending
order of numbers?
(1) 30.5, 3.05, 3.055, 3.50, 3.005, 0.355
(2) 3.05, 3.005, 3.50, 3.055, 30.5, 0.355
(3) 30.5, 3.50, 3.055, 3.05, 3.005, 0.355
(4) 30.5, 3.50, 3.05, 3.055, 3.005, 0.355
11. A shopkeeper mixed 5.3 kg of almonds, 2100
g of raisin, 2.2 kg of cashews and packed the
mixture equally into two dozen packets.
What is the weight to each packet?
(1) 500 g (2) 300 g (3) 400 g (4) 450 g
12. Asha plans to save some money from
household expenditure to buy a mobile
phone. Every week she saves ` 50 on
Monday, ` 100 on Wednesday and ` 80 on
Friday and spends ` 60 from this on Sunday.
How many weeks would she take to save
enough to buy a mobile phone of ` 5950?
(1) 40 (2) 25 (3) 35 (4) 30
13. What number am I?
I am a 2 digit even number.
I am common multiple of 3, 4, 6.
I have total 9 factors.
(1) 36 (2) 48 (3) 56 (4) 24
14. If ( ) ( 11011
2
= __________)
10
, then number in
the blank space is
(1) 33 (2) 22
(3) 27 (4) 30
15. The side of a square is 10 cm. How many
times will the new perimeter become if the
side of the square is doubled?
(1) 2 times (2) Remains same
(3) 4 times (4) 3 times
16. Which of the following letters have both
horizontal and vertical lines of symmetry?
(1) Y (2) A
(3) X (4) C
17. What is the correct sequence a teacher of
Class-III needs to follow to explain the
concept of ‘Quarter’ (1/4) to the students?
(A)Write symbol of Quarter on black board.
(B)Provide concrete material and divides
into Quarters.
(C)Show pictures representing ‘Quarter’.
(1) (C), (A), (B) (2) (A), (B), (C)
(3) (A), (C), (B) (4) (B), (C), (A)
18. 72 28 36 4 × = × × ……… .The number in the
blank is
(A)multiple of 7 (B) a prime number
(C)less than 10 (D) an even number
(E)factor of 56
Which of the following is correct?
(1) (A), (D), (E) (2) (A), (B), (C)
(3) (A), (D), (B) (4) (C), (D), (E)
04
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)
19. How will you cater to the needs of visually
challenged students of your classroom in an
inclusive school?
(1) Provide them extra time for practice.
(2) Make them sit with high achievers.
(3) Use alternate teaching-learning methods and
resources.
(4) Send them to special educator.
20. A Class-III student perform multiplication of
16 25 × as follows
16 25 8 2 5 5 × = × × ×
= × × × 8 5 2 5 = × 40 10 = 400
Which property of multiplication has the
student used in this question?
(1) Inverse multiplication law
(2) Distributive law
(3) Associative law
(4) Repeated addition
21. Which of the following isnot a Mathematical
process?
(1) Estimation (2) Transposition
(3) Visualisation (4) Memorisation
22. Which of the following isnot related to early
number concept?
(1) Measurement (2) Classification
(3) Class inclusion (4) Conservation
23. Which of the following statements is true
regarding ‘Numeral’ and ‘Number’ ?
(I) A numeral is a symbol used to represent
number.
(II) Same number can be represented by
different numerals.
(1) Both (I) and (II) are correct.
(2) Both (I) and (II) are incorrect.
(3) (I) is correct and (II) is incorrect.
(4) (II) is correct and (I) is incorrect
24. Read the following word problems on
addition
A. There are 15 oranges in one basket and
17 oranges in another basket. How many
oranges are there altogether?
B. The price of a mobile phone which is for
` 9950 is increased by ` 375 after budget.
What is the new price?
Which of the following statements is correct ?
(1) Both represents augmentation structure of
addition.
(2) ‘A’ represents augmentation structure of
addition whereas ‘B’ represents aggregation
structure of addition.
(3) ‘A’ represents aggregation structure of
addition whereas ‘B’ represents augmentation
structure of addition.
(4) Both represents aggregation structure of
addition.
25. Identify the correct statement about the
ability to conserve different physical
quantities in ‘measurement’ as proposed by
Piaget.
(1) Conservation of length is grasped before
conservation of number.
(2) Conservation of weight is grasped before
conservation of volume.
(3) Conservation of volume is grasped before
conservation of mass.
(4) Conservation of weight is grasped before
conservation of number.
26. A teacher gives the following task to the
students of class-IV :
‘‘Arrange 25 tiles in all possible rectangular
arrays.’’
Which of the following Mathematical
concepts can be addressed through this
task?
(1) Area, volume, length
(2) Volume, area, length
(3) Area, factors, perimeter
(4) Area, perimeter, volume
27. Which one of the following sets are problem
solving strategies in Mathematics?
(1) Memorisation, Guess & test, drawing
(2) Trial-error, drawing, memorisation
(3) Drawing, working back, rote learning
(4) Reasoning, using variable, look for a pattern
28. Van Hiele’s levels refers to stages in the
development of
(1) fractions (2) number concept
(3) place value (4) geometrical thinking
29. As per the recommendation of NCF 2005,
primary school mathematics curriculum
should
(1) prepare children for advanced Mathematics.
(2) relate to children’s everyday experiences.
(3) focus on procedural knowledge.
(4) provide rigour in mathematical concepts.
30. Which of the following teaching-learning
resources is best suited to explain the
concept of multiplication of two decimal
numbers say 03 0 2 006 . . . × = ?
(1) Graph paper (2) Dienes blocks
(3) Taylor’s abacus (4) Number chart
05
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)
Answers
1. (1) Option (1) is not effective strategy to assess
primary level students learning in Mathematics because
in this way, you will not be able to monitor each student.
2. (3) Option (3) is not a characteristic of effective
Mathematics pedagogy because making strict time rules
when introducing the new concept will not generate
interest in students instead it will rules their interest
away.
3. (2) Let in a school there are ‘x’ number of students.
Half of the students play badminton = × x
1
2
1
4
th students play volleyball = × x
1
4
1
8
th students play tennis = × x
1
8
1
16
th students play chess = × x
1
16
Students go for swimming
= Total students - (Number of students who play
different games)
= - + + +
?
?
?
?
?
?
x
x x x x
2 4 8 16
= - x
x 15
16
=
- 16 15
16
x x
Students go for swimming =
x
16
Number of students play volleyball = 160
From above, students play volleyball =
x
4
.
x
4
160 = ? x = × 160 4 ? x = 640
Number of students who play chess are
x
16
.
Put value ofx here =
640
16
= 40
Number of students who play chess are 40.
4. (3) We can write18
3
4
as18
3
4
+ .
By solving this, we get = + 18
3
4
=
+ 72 3
4
=
75
4
Quarters means
1
4
th of a number.
Here, 75 4 /
Just divide it by1 4 / and we get quarters are
=
75
4
1
4
= × =
75
4
4
1
75
5. (3) In order to get the largest number, we arranged the
digits in the descending order in the first and second
numbers continuously
8 6 3
+ 7 4 2
16 0 5
Therefore, the largest possible number after addition is
1605.
6. (1) Deepa has two parcels of 250 g and 300 g and two
letters of 20 g and 35 g.
For Letter,
? For, first letter which is 20 g in weight Deepa only has
to pay ` 5.
? For second letter which is of 35 g.
Deepa has to pay
? ` 5 ( for 20 g)
? ` 2 (for additional 15 g)
In total =` ( ) 5 2 + =` 7
For both letters Deepa has to pay
=` ( ) 5 7 + = ` 12
For Parcel,
? For first parcel which is of 250 g, Deepa has to pay ?
` 5 [for 50 g]
? ` ( ) 3 3 3 3 + + + [for additional 200 g]
Deepa paid for 1st parcel = ` [5 12 + ] =` 17
? For second parcel which is of 300 g, Deepa has to pay
? `5 (for 50 g) ? ` ( ) 3 3 3 3 3 + + + +
(for additional 250 g)
1 (1) 2 (3) 3 (2) 4 (3) 5 (3) 6 (1) 7 (1) 8 (3) 9 (1) 10 (3)
11 (3) 12 (3) 13 (1) 14 (3) 15 (1) 16 (3) 17 (4) 18 (1) 19 (3) 20 (3)
21 (4) 22 (4) 23 (3) 24 (3) 25 (2) 26 (3) 27 (4) 28 (4) 29 (2) 30 (1)
sOLVED PAPER 2019 Hints&Solutions
Page 5


1. Which of the following isnot an effective strategy to assess primary level students learning in
Mathematics?
(1) Using primarily group administered tasks.
(2) Designing tasks to differentiate between rote memorisation and conceptual understanding.
(3) Analysing children’s errors to understand their reasoning.
(4) Designing tasks which elicit more than one level of response.
2. Which of the following isnot a characteristic of effective Mathematics pedagogy?
(1) Making connections with everyday experiences.
(2) Using various teaching-learning strategies for a single concept.
(3) Following strict time rules when introducing a new concept.
(4) Focussing patterns of students errors.
3. In a school, half of students play badminton, one-fourth (1/4th) play volleyball, one-eighth (1/8th)
play tennis, one-sixteenth (1/16th) play chess and remaining go for swimming. If the number of
students playing volleyball is 160, how many students play chess?
(1) 20 (2) 40 (3) 120 (4) 80
4.
How many quarters are there in 18
3
4
?
(1) 35 (2) 68 (3) 75 (4) 72
5. Digits 2, 3, 4, 6, 7, 8 are arranged in the following blanks :
______ ______ ______
+ ______ ______ ______
The largest possible number after addition is
(1) 1308 (2) 808 (3) 1605 (4) 1560
CTET SOLVED PAPER S
Paper - 1 (Mathe matics)
07 J uly, 201 9
6. Deepa goes to a post-office to post/mail
letters and parcels. The postal rates depicted
are as below :
Letter Weighing :
(i) 20 g or less - ` 5.00
(ii) Per every additional 20 g - ` 2.00
Parcel Weighing :
(i) 50 g or less - ` 5.00
(ii) For every additional 50 g - ` 3.00
Deepa wants to send two parcels weighing 250 g
and 300 g respectively and two letters each to 20 g
and 35 g respectively. How much postal charge
does she have to pay?
(1) ` 49 (2) ` 41 (3) ` 48 (4) ` 39
7. A whole number is added to 50 and the same
number is subtracted from 50. The sum of
the resulting numbers is
(1) 100 (2) 25 (3) 50 (4) 0
8. Read the following Railway timings of
New Delhi - Chennai Rajdhani Express and
answer the question:
Station Arrival Departure
New Delhi - 15 : 55
Bhopal 23 : 55 00 : 05
Nagpur 05 : 25 05 : 35
Vijaywada 14 : 15 14 : 30
Chennai 20 : 45 end
Which of the following statements is true?
(1) The duration of journey from Bhopal to
Chennai is 21 h 40 min.
(2) The duration of journey from Bhopal to
Vijaywada is 13 h 10 min.
(3) The duration of journey from Nagpur to
Chennai is 15 h 10 min.
(4) The duration of journey from New Delhi to
Nagpur is 11 h 30 min.
9.
A beaker is
3
7
th filled with water. Another 16
L of water is needed to fill the beaker to its
brim. What is the capacity of the beaker?
(1) 28 L (2) 14 L (3) 50 L (4) 100 L
10. Which of the following represents descending
order of numbers?
(1) 30.5, 3.05, 3.055, 3.50, 3.005, 0.355
(2) 3.05, 3.005, 3.50, 3.055, 30.5, 0.355
(3) 30.5, 3.50, 3.055, 3.05, 3.005, 0.355
(4) 30.5, 3.50, 3.05, 3.055, 3.005, 0.355
11. A shopkeeper mixed 5.3 kg of almonds, 2100
g of raisin, 2.2 kg of cashews and packed the
mixture equally into two dozen packets.
What is the weight to each packet?
(1) 500 g (2) 300 g (3) 400 g (4) 450 g
12. Asha plans to save some money from
household expenditure to buy a mobile
phone. Every week she saves ` 50 on
Monday, ` 100 on Wednesday and ` 80 on
Friday and spends ` 60 from this on Sunday.
How many weeks would she take to save
enough to buy a mobile phone of ` 5950?
(1) 40 (2) 25 (3) 35 (4) 30
13. What number am I?
I am a 2 digit even number.
I am common multiple of 3, 4, 6.
I have total 9 factors.
(1) 36 (2) 48 (3) 56 (4) 24
14. If ( ) ( 11011
2
= __________)
10
, then number in
the blank space is
(1) 33 (2) 22
(3) 27 (4) 30
15. The side of a square is 10 cm. How many
times will the new perimeter become if the
side of the square is doubled?
(1) 2 times (2) Remains same
(3) 4 times (4) 3 times
16. Which of the following letters have both
horizontal and vertical lines of symmetry?
(1) Y (2) A
(3) X (4) C
17. What is the correct sequence a teacher of
Class-III needs to follow to explain the
concept of ‘Quarter’ (1/4) to the students?
(A)Write symbol of Quarter on black board.
(B)Provide concrete material and divides
into Quarters.
(C)Show pictures representing ‘Quarter’.
(1) (C), (A), (B) (2) (A), (B), (C)
(3) (A), (C), (B) (4) (B), (C), (A)
18. 72 28 36 4 × = × × ……… .The number in the
blank is
(A)multiple of 7 (B) a prime number
(C)less than 10 (D) an even number
(E)factor of 56
Which of the following is correct?
(1) (A), (D), (E) (2) (A), (B), (C)
(3) (A), (D), (B) (4) (C), (D), (E)
04
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)
19. How will you cater to the needs of visually
challenged students of your classroom in an
inclusive school?
(1) Provide them extra time for practice.
(2) Make them sit with high achievers.
(3) Use alternate teaching-learning methods and
resources.
(4) Send them to special educator.
20. A Class-III student perform multiplication of
16 25 × as follows
16 25 8 2 5 5 × = × × ×
= × × × 8 5 2 5 = × 40 10 = 400
Which property of multiplication has the
student used in this question?
(1) Inverse multiplication law
(2) Distributive law
(3) Associative law
(4) Repeated addition
21. Which of the following isnot a Mathematical
process?
(1) Estimation (2) Transposition
(3) Visualisation (4) Memorisation
22. Which of the following isnot related to early
number concept?
(1) Measurement (2) Classification
(3) Class inclusion (4) Conservation
23. Which of the following statements is true
regarding ‘Numeral’ and ‘Number’ ?
(I) A numeral is a symbol used to represent
number.
(II) Same number can be represented by
different numerals.
(1) Both (I) and (II) are correct.
(2) Both (I) and (II) are incorrect.
(3) (I) is correct and (II) is incorrect.
(4) (II) is correct and (I) is incorrect
24. Read the following word problems on
addition
A. There are 15 oranges in one basket and
17 oranges in another basket. How many
oranges are there altogether?
B. The price of a mobile phone which is for
` 9950 is increased by ` 375 after budget.
What is the new price?
Which of the following statements is correct ?
(1) Both represents augmentation structure of
addition.
(2) ‘A’ represents augmentation structure of
addition whereas ‘B’ represents aggregation
structure of addition.
(3) ‘A’ represents aggregation structure of
addition whereas ‘B’ represents augmentation
structure of addition.
(4) Both represents aggregation structure of
addition.
25. Identify the correct statement about the
ability to conserve different physical
quantities in ‘measurement’ as proposed by
Piaget.
(1) Conservation of length is grasped before
conservation of number.
(2) Conservation of weight is grasped before
conservation of volume.
(3) Conservation of volume is grasped before
conservation of mass.
(4) Conservation of weight is grasped before
conservation of number.
26. A teacher gives the following task to the
students of class-IV :
‘‘Arrange 25 tiles in all possible rectangular
arrays.’’
Which of the following Mathematical
concepts can be addressed through this
task?
(1) Area, volume, length
(2) Volume, area, length
(3) Area, factors, perimeter
(4) Area, perimeter, volume
27. Which one of the following sets are problem
solving strategies in Mathematics?
(1) Memorisation, Guess & test, drawing
(2) Trial-error, drawing, memorisation
(3) Drawing, working back, rote learning
(4) Reasoning, using variable, look for a pattern
28. Van Hiele’s levels refers to stages in the
development of
(1) fractions (2) number concept
(3) place value (4) geometrical thinking
29. As per the recommendation of NCF 2005,
primary school mathematics curriculum
should
(1) prepare children for advanced Mathematics.
(2) relate to children’s everyday experiences.
(3) focus on procedural knowledge.
(4) provide rigour in mathematical concepts.
30. Which of the following teaching-learning
resources is best suited to explain the
concept of multiplication of two decimal
numbers say 03 0 2 006 . . . × = ?
(1) Graph paper (2) Dienes blocks
(3) Taylor’s abacus (4) Number chart
05
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)
Answers
1. (1) Option (1) is not effective strategy to assess
primary level students learning in Mathematics because
in this way, you will not be able to monitor each student.
2. (3) Option (3) is not a characteristic of effective
Mathematics pedagogy because making strict time rules
when introducing the new concept will not generate
interest in students instead it will rules their interest
away.
3. (2) Let in a school there are ‘x’ number of students.
Half of the students play badminton = × x
1
2
1
4
th students play volleyball = × x
1
4
1
8
th students play tennis = × x
1
8
1
16
th students play chess = × x
1
16
Students go for swimming
= Total students - (Number of students who play
different games)
= - + + +
?
?
?
?
?
?
x
x x x x
2 4 8 16
= - x
x 15
16
=
- 16 15
16
x x
Students go for swimming =
x
16
Number of students play volleyball = 160
From above, students play volleyball =
x
4
.
x
4
160 = ? x = × 160 4 ? x = 640
Number of students who play chess are
x
16
.
Put value ofx here =
640
16
= 40
Number of students who play chess are 40.
4. (3) We can write18
3
4
as18
3
4
+ .
By solving this, we get = + 18
3
4
=
+ 72 3
4
=
75
4
Quarters means
1
4
th of a number.
Here, 75 4 /
Just divide it by1 4 / and we get quarters are
=
75
4
1
4
= × =
75
4
4
1
75
5. (3) In order to get the largest number, we arranged the
digits in the descending order in the first and second
numbers continuously
8 6 3
+ 7 4 2
16 0 5
Therefore, the largest possible number after addition is
1605.
6. (1) Deepa has two parcels of 250 g and 300 g and two
letters of 20 g and 35 g.
For Letter,
? For, first letter which is 20 g in weight Deepa only has
to pay ` 5.
? For second letter which is of 35 g.
Deepa has to pay
? ` 5 ( for 20 g)
? ` 2 (for additional 15 g)
In total =` ( ) 5 2 + =` 7
For both letters Deepa has to pay
=` ( ) 5 7 + = ` 12
For Parcel,
? For first parcel which is of 250 g, Deepa has to pay ?
` 5 [for 50 g]
? ` ( ) 3 3 3 3 + + + [for additional 200 g]
Deepa paid for 1st parcel = ` [5 12 + ] =` 17
? For second parcel which is of 300 g, Deepa has to pay
? `5 (for 50 g) ? ` ( ) 3 3 3 3 3 + + + +
(for additional 250 g)
1 (1) 2 (3) 3 (2) 4 (3) 5 (3) 6 (1) 7 (1) 8 (3) 9 (1) 10 (3)
11 (3) 12 (3) 13 (1) 14 (3) 15 (1) 16 (3) 17 (4) 18 (1) 19 (3) 20 (3)
21 (4) 22 (4) 23 (3) 24 (3) 25 (2) 26 (3) 27 (4) 28 (4) 29 (2) 30 (1)
sOLVED PAPER 2019 Hints&Solutions
Deepa paid for 2nd parcel
=` (5 15 + ) =` 20
In total paid for parcel = ` 20 17 + =` 37
Whole amount Deepa paid for letters and parcels
=` 37 + ` 12 =` 49
7. (1) Let the number be ‘x’.
‘x’ is added to 50, we get ?50 + x
‘x’ is subtracted from 50,
we get ?50 - x
The sum of resulting numbers
= 50 50 + + - x x = 100
8. (3) From option (1),
Duration of journey from Bhopal to Chennai.
Departure time from Bhopal = 00 05 :
Arrival time at Chennai = 20 45 :
Total time taken
= Arrival time - Departure time
= - 20 45 00 05 : :
= 20 h 45 min - 0 h 05 min
= 20 h 40 min
It was given in option (1) 21 h 40 min which is wrong.
From option (2), Departure time from Bhopal = 00 05 :
Arrival time at Vijaywada = 14 15 :
Total time taken
= Arrival time - Departure time
= - 14 15 00 05 : :
= 14 h 15 min – 0h 05 min
= 14 h 10 min
This option is also wrong.
From option (3), Departure time from Nagpur = 05 35 :
Arrival time at Chennai = 20 45 :
Total time taken
= Arrival time - Departure time
= - 20 45 05 35 : :
= 20 h 45 min - 05 h 35 min
= 15 h 10 min
This option is correct.
9. (1) Let the capacity of beaker is ‘x’ L.
3
7
th of beaker is filled with water = ×
3
7
x =
3
7
x
Beaker left empty = - x
x 3
7
=
- 7 3
7
x x
=
4
7
x
16 L water needed to fill the left beaker which must be
equal to
4
7
x
.
16 L =
4
7
x
? 4 16 7 x = ×
x =
× 16 7
4
? x = 28 L
Capacity of beaker = 28 L
10. (3) From the given options only (3) is correct.
30.5, 3.50, 3.055, 3.05, 3.005, 0.355
If we write every number to its third place decimal
30 5 . ? 30.500
3.50 ? 3.500
3.055 ? 3.055
3.05 ? 3.050
3.005 ? 3.005
0.355 ? 0.355
Now, we clearly see that descending order of this
expression is
30.500>3.500>3.055>3.050>3.005>0.355.
11. (3) Given, 5.3 kg almonds
2100 g raisin
2.2 kg cashews
? 5.3 kg of almonds = × = 53 1000 5300 . g
(Q1 kg =1000 g)
? 2.2 kg of cashews = × = 2 2 1000 2200 . g
Almonds, cashews and raisin are mixed
Total weight = + + 5300 2100 2200 = 9600 g
This is packed in 2 dozen packets
1 dozen = 12packets
2 dozen = 24 packets
Weight of each packet =
Total weight
Number of packets
=
9600
24
Weight of each packet = 400 g
12. (3) Asha saves on Monday =` 50
Asha saves on Wednesday =` 100
Asha saves on Friday =` 80
Total saved till now = + + 50 100 80 = `230
Asha spend on Sunday =` 60
Whole week saving =` ( ) 230 60 - =` 170
Every week Asha saves ` 170.
Let it takes ‘x’ weeks for Asha to collect ` 5950.
Now, week × every week saving = 5950
x × = 170 5950
x =
5950
170
x = 35
It takes 35 weeks for Asha to collect ` 5950.
07
CTET SOLVED PAPER(JULY2019)PAPERI (CLASS I-V)