# CTET Paper 1 Maths Dec 2021 – 01-01-2022 Previous Year Question Paper English Explanation 30 MCQs

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Answer for the Question : 00:00 – CTET – Paper 1-Maths Dec 2021-1st Jan 2022 Previous Question Paper solved

Answer for the Question : 00:40 – In a school there are 96 teachers, out of which 3/8th teach High school classes. If 2/9th of the High school teachers are Maths teachers. Then the number of High school teachers who don’t teach Maths are :

– 36
– 30
– 28
– 60

Answer for the Question : 01:55 – 1/2 – (2/3 – 4/5) is:

– 13/30
– 3/10
– 39/30
– 19/30

Answer for the Question : 03:20 – What is the difference between the face value of the number 7 in the numbers 4782 and 32170 ?

– 630
– 712
– 0
– 770

Answer for the Question : 04:26 – Which of the following statements is not true for the set of whole numbers?

– a + b = b + a
– a – b = b – a
– a × b = b × a
– (a + b ) + c = a + (b + c)

Answer for the Question : 05:50 – When asked to divide a number by 6, Rani has divided it by 9 and she got the quotient as 21 and remainder as 3.

Realising her mistake, later she divided it by 6. What will be the quotient and remainder?

– Quotient – 31, remainder – 0
– Quotient – 31, remainder – 3
– Quotient – 32, remainder – 3
– Quotient – 32, remainder – 0

Answer for the Question : 07:46 – Which of the following is a pair of ‘like fractions’?

– 2/3 and 3/2
– 1/2 and 3/8
– 3/4 and 3/7
– 1/4 and 3/7

Answer for the Question : 08:14 – Which of the following numbers are not perfect cubes?

– 729
– 1000
– 333
– 216

Answer for the Question : 09:25 – Shikha went to a brick kiln to buy bricks. The rate of the bricks was 2500 rupees per one thousand bricks.

How many bricks can she buy if she has only 4000 rupees?

– 10000
– 1600
– 16000
– 4000

Answer for the Question : 10:24 – Mini told her teacher “I made a rectangle whose each side is 4 cm”.

Which of the following statement is correct?

– A rectangle cannot have all sides equal.
– All squares are rectangle
– All rectangles are square
– There is no link between a square and a rectangle.

Answer for the Question : 11:16 – The angles of a triangle are in the ratio 4 : 5 : 6 What will be the measure of the angles of the triangle?

– 50°, 60°, 70°
– 45°, 60°, 75°
– 48°, 60°, 72°
– 52°, 60°, 68°

Answer for the Question : 12:34 – Ragini reaches the station at 2:00 in the afternoon. She has to take a train to Aligarh.

There are four trains. Train A, Train B, Train C, Train D scheduled for departure at 17:05, 04:32, 18:30 and 19:15 respectively.

Which train must she take so that she spends minimum amount of time waiting for the train?

– Train A
– Train B
– Train C
– Train D

Answer for the Question : 14:04 – Rita is a ward-member of her area; she wishes to create a community room of size 12 feet × 16 feet.

To lay tiles on the floor she has four options: 1.5 feet × 1.5 feet, 2 feet × 2 feet, 2.5 feet × 2.5 feet, 3 feet × 3 feet.

Which size of tile should she buy for the community room, so that she can lay tiles without cutting?

– 1.5 feet × 1.5 feet
– 2 feet × 2 feet
– 2.5 feet × 2.5 feet
– 3 feet × 3 feet

Answer for the Question : 18:38 – Ms. Renu divided her students into groups of 8 each and asked them to record their weights. She further asked the groups to calculate the mean weight of their respective group.

Group A (which consists of 8 students) measured their weight and calculated the mean weight as 38.2 kg. Later on they realized that the weight of one of the student they recorded is incorrect. Instead of 25.9 kg, they recorded it as 29.5 kg. What will be the correct mean for the group?

– 37.75 kg
– 38.65 kg
– 37.2 kg
– 38.9 kg

Answer for the Question : 21:24 – Observe the following pattern and select the next term:

(9 – 1) ÷ 8 = 1
(98 – 2) ÷ 8 = 12
(987 – 3) ÷ 8 = 123
(9876 – 4) ÷ 8 = 1234
________ = ______

– (98765 – 5) ÷ 8 = 123456
– (9876 – 4) ÷ 8 = 12345
– (98765 – 4) ÷ 8 = 12345
– (98765 – 5) ÷ 8 = 12345

Answer for the Question : 22:24 – Priyanshu has currency notes of Rs. 10 and Rs. 20. She uses 2 notes of Rs. 20 and 1 note of Rs. 10 to form Rs. 50.

How many other combinations are possible to form the same amount using both the currency notes? You can ignore the spatial arrangements of the currency notes.

– 0
– 1
– 2
– 3

Answer for the Question : 23:38 – Following are four questions posed by mathematics teacher. Which of the following is an open-ended question?

– If sum of two numbers is 15 and one of them is 7, what will be the other number?
– If the age of Anil is 7 years and his father’s age is 5 times more than that of Anil’s age. What will be the age of father?
– If sum of two numbers is 17, then what are the numbers?
– What would be added to 17 to get 23?

Answer for the Question : 25:02 – A teacher uses the following riddle in the class while developing the concept of place value ‘I am less than 5 tens and 4 ones.

The objective of this riddle is to

– Do a summative assessment
– Break the monotony of a mathematics class
– Ask close ended questions on place value
– Reinforce the concept of Base 10 and place value

Answer for the Question : 26:29 – Which among the following is/are the objective/objectives of teaching ‘shapes’ at Primary class.
(a) To develop visualisation skill
(b) To memorise the names of geometrical shapes
(c) To enhance spatial reasoning ability

– (a) and (b)
– (a) and (c)
– (b) and (c)
– Only (b)

Answer for the Question : 27:46 – Which of the following teaching-learning resources in mathematics can be used for visually challenged students?

(a) Geoboard
(b) Geogebra
(c) Abacus
(d) Graphic calculator

Choose the correct option.

– (a) and (d)
– (a) and (c)
– (b) and (d)
– (a), (b) and (d)

Answer for the Question : 28:47 – While teaching ‘geometrical shapes’ a teacher thinks of planning a trip to historical places. It reflects

– Field trips have been recommended by CBSE, so they must be done
– A good break from routine mathematics class and an opportunity to visit the historical places.
– Shapes are an integral part of any architecture and such trips encourage mathematics beyond classroom.
– Teacher has completed most of the syllabus well in time and now needs to provide leisure.

Answer for the Question : 30:20 – A primary class mathematics teacher poses the following question to his students:

“Reena and Shama went to a shop to buy a bag. There were many bags with different price tags. They got confused by looking at so many price tags. Can you help them by arranging the price tags either in ascending or descending order”?

BAG – A – Rs. 4732
BAG – B – Rs. 2364
BAG – C – Rs. 1934
BAG – D – Rs. 3475
BAG – E – Rs. 2937
BAG – F – Rs. 3004

In the given context, which of the following statements is true?

– Only the concepts of ascending and descending order can be strengthened using the question.
– The teacher can use the question to go beyond comparison of numbers and introduce the concept of data handling and sorting of data.
– It is not a mathematical question as it does not involve basic operations on numbers.
– The teacher should avoid bringing contextual questions into the classroom.

Answer for the Question : 32:44 – According to National Curriculum Framework 2005, which of the following represents the vision of a mathematical classroom?

– Students memorizing the formulae
– Teacher as the only narrator in the class
– Students copying solved examples from the textbook
– Children posing and solving meaningful problems in the classroom

Answer for the Question : 34:21 – Which of the following statements is true for ‘Anecdotal Records’ as an assessment tool in mathematics?

– It includes the project and field work done by the child
– It is use to record and judge the quality of a child’s work against a specified criteria
– It records the presence or absence of a particular skill or process
– It includes written description of a child’s progress on a day to day basis and provides observational narrative records

Answer for the Question : 35:50 – A class III teacher introduces the multiplication in her class using repeated addition and rectangular arrays. She is

– Introducing multiplication through informal strategies by utilising the previous knowledge and experiences of students.
– Teaching multiple formal algorithms of multiplication.
– Wasting a lot of time and should focus on teaching formal algorithm only.
– Finding leisure time for herself by keeping the students engaged.

Answer for the Question : 37:41 – A child is counting the number of balls by putting a finger on the balls one by one and saying number names in order.

She has counted some balls twice.

Which pre number concept is yet to be strengthened in the child?

– One-to-one correspondence
– Seriation
– Classification
– Cardinality

Answer for the Question : 38:42 – Misconceptions in mathematics can be removed by

– Engaging children with examples and non-examples
– Framing similar questions and repeating them many times
– Lot of practice and drill of questions
– Demonstrating the algorithm again

Answer for the Question : 40:21 – Ms. Romi in her mathematics class asks her students to create appropriate situations for following computations:

(i) 10 + 2 (ii) 10 × 2 (iii) 10 – 3 (iv) 10 ÷ 2

Which of the following statements is correct about the pedagogy used by Ms. Romi?

– She is testing the problem solving skills of student by giving mixed set of problems
– She is testing the language proficiency of students
– She is trying to help students to develop mathematical statements and problem solving skills
– She is trying to maintain discipline in her by giving some task to the students

Answer for the Question : 42:25 – Which of the following statements are indicative of higher aims of teaching mathematics?
(a) Mathematics education should turn out employable adults who contribute to economic and social development.
(b) Mathematics education should develop child’s inner resources like abstract thinking and drawing logical conclusions
(c) Children should see mathematics as a way of life like communicating, discussing and developing attitude for problem solving
(d) Mathematics education should focus on factual knowledge and procedural fluency

– (a) and (c)
– (b) and (c)
– (c) and (d)
– (b) and (d)

Answer for the Question : 45:02 – According to Newman, there are five levels to be undertaken before a student is able to solve a word problem. They are listed below in a random order.

(b) Must be able to read the question.
(c) Undertake the necessary mathematical operations
(d) Need to translate the problems into mathematical demands.
(e) Represent the answer as a meaningful construct.

Which of the following represents the correct order of levels?

– (b), (a), (c), (d), (e)
– (b), (d), (a), (c), (e)
– (a), (b), (e), (c), (d)
– (b), (a), (d), (c), (e)

Answer for the Question : 47:49 – Which of the following is NOT desirable for the professional development of mathematics teachers?

– Attending workshops and seminars on mathematics
– Developing teaching-learning resources
– Minimum interaction with other mathematics teachers working in same school or in neighbourhood schools
– Participating in faculty development programmes

Click on the YouTube video link in the article above, to watch the entire video on YouTube. You can also click on the 'Chapter' link time-stamps to go directly to the specific question or part of the video.

Subscribe to MagicExam YouTube channel for free videos on CTET 2023 and 2024, KVS, TET, REET, DSSSB, UPTET, MPTET, MahaTET, APTET, TSTET, RTET, HTET, PSTET, KARTET, TNTET and other teaching exam preparation, solved question papers, syllabus analysis, result related news and other information videos.

If you have any questions, comments or feedback - please post them as YouTube comments under the specific videos and we will clarify or reply as soon as possible. 