# CTET Paper 1 Maths Dec 2021 – 03-01-2022 Previous Year Question Paper English Explanation 30 MCQs

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Answer for the Question : 00:00 – CTET Paper 1-Maths Dec 2021 – 3rd Jan 2022 Previous Question Paper

Answer for the Question : 00:40 – The table shows the marks obtained of three students before and after studying mathematics in a group. Which is the approximate average marks obtained by all the three students together in each type of study?

Name – Marks obtained before studying in group (out of 100) – Marks obtained after studying in group (out of 100)
Mansi – 67 – 79
Harman – 54 – 60
Faisal – 63 – 74

– 73.2, 64.77
– 71, 61.33
– 64.77, 73.2
– 61.33, 71

Answer for the Question : 01:52 – Which of the following groups of letters have both horizontal and vertical lines of symmetry?

– C, X, T
– X, H, O
– X, Y, Z
– A, B, C

Answer for the Question : 02:41 – Rakesh and Sania are discussing with each other. Rakesh says ‘The radius is double of the diameter’ and Sania says ‘It is half of the diameter’. Which of the following is the correct option?

– Rakesh is correct and Sania is wrong.
– Sania is correct and Rakesh is wrong.
– Both are wrong because radius and diameter are equal.
– Both are wrong because there is no relationship between radius and diameter

Answer for the Question : 03:14 – Areeba finds angles in various English letters and numerical digits. In which of the following groups she will only find right angles?

– K, 7, T
– X, 4, N
– H, 5, E
– M, 3, L

Answer for the Question : 04:41 – The factors of any numbers are ____ the number.

– Equal to or less than
– Equal to or greater than
– Equal to
– Less than

Answer for the Question : 05:31 – Venu found his birth certificate while cleaning the home on 25th September 2021. He noted that the date of birth in the certificate was written as 5th December 1995. What was Venu’s approximate age when he found the certificate?

– 24 years 11 months
– 25 years 9½ months
– 25 years 3½ months
– 26 years and 3 months

Answer for the Question : 07:23 – The height of five persons is given below:

163 cm, 161 cm, 156 cm, 159 cm, 162 cm.

What is the sum of height in meters?

– 7 m 10 cm
– 8 m 1 cm
– 8 m 10 cm
– 9 m 1 cm

Answer for the Question : 07:51 – 1729 is called the Ramanujan number because it is the smallest number expressible as the sum of two cubes in two different ways. which of the following pairs of numbers will give cubes of these numbers?

– (1, 12) and (9, 8)
– (1, 12) and (10, 9)
– (2, 11) and (10, 9)
– (2, 11) and (9, 8)

Answer for the Question : 08:53 – Three friends receive message on their mobile phones at an interval of 20 minutes, 30 minutes and 45 minutes respectively.

They start receiving message together at a particular time. After how much time will they receive message again on their mobile phone altogether?

– 1.5 hours
– 2 hours
– 2.5 hours
– 3 hours

Answer for the Question : 11:15 – Amongst the following fractions, the largest and the smallest fractions, respectively are:

3/4, 6/7, 1/2, 2/3, 4/5, 5/6

– 6/7 and 1/2
– 2/3 and 3/4
– 4/5 and 3/4
– 1/2 and 6/7

Answer for the Question : 13:34 – Observe the pattern and write the numbers at _____

1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = _____

– 36
– 64
– 81
– 100

Answer for the Question : 14:05 – The rate of various Stationery items are given below:

A packet of pencils – Rs. 22.00
A packet of pen – Rs. 37.50
One eraser – Rs. 3.50
One sharpener – Rs. 4.50
A packet of pastel sheets – Rs. 48.00
One ruler – Rs. 10.00

Harpreet buys one packet of pencil, two packets of pens, three erasers, one sharpener, two packets of pastel sheets and one ruler. How much would be required to pay?

– Rs. 218.00
– Rs. 236.50
– Rs. 185.00
– Rs. 193.50

Answer for the Question : 14:43 – What will be the remainder when 10011 is divided by 101?

– 9
– 11
– 12
– 13

Answer for the Question : 15:13 – Select the least number which is a perfect square and divisible by each of the numbers 16, 20 and 24

– 1600
– 3600
– 6400
– 14400

Answer for the Question : 17:45 – The product of the place value of two sixes in 786364 is

– 36
– 36000
– 360000
– 6060

Answer for the Question : 18:11 – A mathematics teacher posed the following question to her class:

“Take four digits 7, 8, 4, 6. Make the smallest and the largest four-digit number such that no digit is repeated in them.”

After the various responses of the students, she asked the students, ” Think about the arrangement of the digits in both the numbers you have formed. Can you say how the largest and the smallest number is formed? Write down your procedure.”

Which of the following statements is most appropriate in the above context?

– the teacher is saving her time of assessing the students by asking the students to assess their answers themselves.
– the teacher is keeping the students engaged to maintain discipline in the class.
– the teacher wants to understand the students’ thinking process involved in the answers given by them.
– the teacher is confusing the students who have given the correct answer so that they check their answers again.

Answer for the Question : 20:23 – Which of the following is NOT used for Formative Assessment?

– Student Portfolios
– Anecdotal Records
– Term-End Examination
– Field Trips

Answer for the Question : 21:46 – A mathematics teacher posed the following word problem to his students: “One copy of a newspaper has 12 pages. Everyday 10,500 copies are printed. How many total pages are printed every day?

A student responded that the answer would be between 1,25,000 – 1,30,00.

Which of the following statements is correct in the above context?

– The teacher should discourage the student from giving inaccurate answers.
– Estimation is used in daily life mathematics hence the teacher should appreciate the student’s estimation of the answer to near accuracy.
– The teacher should ignore the response of the student and focus on teaching the algorithm of multiplication
– Mathematics require exact answers so estimation has no relevance in mathematics.

Answer for the Question : 24:10 – According to National Curriculum Framework, NCF(2005), which of the following represents a vision of a ‘classroom environment for doing mathematics’?

(a) Students working in groups and looking for different strategies to solve a problem while making connections with real-life situations
(b) Students solving textbook exercises based on examples solved by the teacher
(c) Teacher reflecting on the process of learning and seeing mistakes as opportunities for learning.
(d) Students copy the solution to questions from the blackboard.

Choose the correct option.

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

Answer for the Question : 26:33 – A primary school mathematics teacher wants her students to appreciate the use of Data Handling in daily life for organizing, representing, and interpreting information.

Which of the following would help the teacher to achieve the learning outcome?

– Discussing solved examples from the textbooks.
– Using various railway time-tables, surveys published in newspapers etc.
– Explaining various ways of data representation
– Teaching them various formal ways of representing the data

Answer for the Question : 28:36 – Which of the following strategies is most appropriate to introduce the concept of fractions in primary classes?

– Writing the fraction in the form of p/q where q ≠ 0 on the blackboard and explaining the symbols
– Writing an example of fraction and then marking a point on the number line to represent the fraction
– Using paper folding activities with symmetrical cut outs of circles and rectangular strips to represent fractions.
– Giving two examples of a fraction and asking the students to write ten similar examples of fractions in their notebooks

Answer for the Question : 30:20 – Mathematics has its own language of words and symbols which is far removed from the everyday speech of the students. Which of the following is most appropriate in the context of given statement?

– Teacher should help students memorise the vocabulary and symbols used in mathematics.
– Teacher should contextualise the mathematics problems and make mathematics a part of student’s life experiences.
– Teacher should focus only on solving word problems in mathematics to help students learn the language of mathematics.
– Teacher should display the chart of important mathematical symbols and formula in the classroom

Answer for the Question : 32:38 – A class V student is able to classify two-dimensional shapes into categories based on their properties.

According to Van Hiele’s theory of geometrical development, she is at ____ level of geometrical reasoning.

– Analysis
– Axiomatic
– Recognition
– Deduction

Answer for the Question : 33:24 – A primary class mathematics teacher poses the following word problems to his students:

“Samina goes to bed at 10 minutes at 9. Kirti goes to bed 20 minutes later than Samina. What time does Kirti go to bed?” One of the students gave 20 as the answer. He explains, “It says Kirti goes to bed 20 minutes later, so the answer must be 20.”

According to Newman, the answer given by the student is an example of :

– Comprehension Error
– Process skill Error
– Careless Error

Answer for the Question : 35:03 – National Curriculum Framework (2005) emphasizes that school mathematics must be activity-oriented. This is because:

(a) It helps students to develop skills to earn a livelihood.
(b) It motivates students to solve meaningful problems in mathematics.
(c) It provides concrete experiences to understand abstract concepts in mathematics.
(d) It provides recreation time to children in primary classes.

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

Answer for the Question : 37:10 – Which of the following tool/tools of assessment is/are appropriate for students facing mathematics anxiety?
(a) Norm Referenced Assessments
(b) Cooperative Learning Projects
(c) Summative Assessments
(d) Formative Assessments

Choose the correct option

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

Answer for the Question : 38:57 – In a mathematics classroom, a student counts on his fingers to solve the problems on addition in following ways:

3 + 9 = 4, 5, 6, 7, 8, 9, 10, 11, 12

9 + 3 = 10, 11, 12

Which of the following statements is most appropriate regarding the above process used by the student?

– This process should be ignored as it is not algorithmic
– The student is unable to use the commutative law of addition in solving problems on addition.
– The student should be discouraged to count on fingers as it is not a formal method to solve a problem
– It is an appropriate algorithm to solve the questions based on addition.

Answer for the Question : 41:06 – Which one of the following is NOT a problem – solving strategy in mathematics?

– Solving Backwards
– Graphic representation
– Rote Memorisation
– Trial and error

Answer for the Question : 41:59 – A mathematics teacher posed the following question to his students “Write a pair of Integers whose sum gives negative integers.”

The above question is an example of :

– Open ended question
– Closed-ended question
– Recall based question
– Multiple choice question

Answer for the Question : 43:12 – Read the following statement: “In mathematics, from concrete objects we abstract set of Natural Numbers. In this set, we include zero and get a set of Whole Numbers. We include negative numbers in this set to get a set of Integers. To Integers, we add positive and negative fractions to get a set of Rational Numbers”

The above statements reflect this:

– Linear arrangement of concepts in mathematics.
– Hierarchical nature of mathematics.
– Concrete nature of concepts in mathematics.
– Concepts in mathematics move from abstract to concrete.

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 2022 and 2023, KVS, TET, REET, DSSSB, UPTET, MPTET, MahaTET, APTET, TSTET, RTET, HTET, PSTET and other 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. 