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Maths

Math Pedagogy Questions – MCQ Exercise Set-2 for TET

Math Pedagogy MCQ Exercise

In this following section of Math Pedagogy Questions – MCQ Exercise Set-2 for CTET, HTET, RTET, UPTET, and other TET exams, 30 questions (MCQ) with 4 choices are given. Choose the right answer for each question. Answer of these important Math Pedagogy questions are available in the last of this post. Check how many of your answers are correct.

Read – Math Pedagogy MCQ Exercise Set-1 for CTET & TET

Math Pedagogy Questions – MCQ Exercise Set-2

1- Which of the following can be used as learning resources for visually challenged in Mathematics classroom?
a) Taylor’s abacus, fraction kit, number chart
b) Number chart, computer, geoboard
c) Taylor’s abacus, computer, geoboard
d) Computer, number chart, geoboard

2- “Errors play an important role in Mathematics” This statement is
a) false, as there is no scope of errors in Mathematics
b) false, as errors indicate careless
c) true, as they give ideas about how children construct Mathematics concepts
d) true, as they give feedback to students about their marks

3- Which of the following method is based on principles of “Watch, listen and learn”?
a) Laboratory Method
b) Demonstration Method
c) Lecture Method
d) Research Method

4- The inductive method of Mathematics teaching is based on the principle
a) from unknown to unknown
b) from unknown to known
c) from general to particular
d) from particular to general

5- Manipulative models, static pictures, written symbols, spoken and written language, real world situations or context are five ways to represent
a) mathematical thinking and ideas
b) geometrical proof
c) mathematics curriculum
d) mathematical vocabulary

Read – Parts of Speech

6- The devices which are used to make teaching methods more effective are known as
a) objectives of teaching
b) principles of teaching
c) techniques of teaching
d) All of the above

7- Evaluation is closely related with
a) content
b) evaluation strategies
c) objectives
d) process of learning

8- Which type of evaluation has main purpose to give ‘feedback’ to the students?
a) Formative evaluation
b) Diagnostic evaluation
c) Summative evaluation
d) Prognostic evaluation

9- A child who is able to perform all number operations and is able to explain the concept of fractions is at
a) partition phase
b) operational phase
c) emergent phase
d) quantifying phase

10- Formative assessment in Mathematics at primary stage includes
a) identification of learning gaps and deficiencies in teaching
b) identification of common errors
c) testing of procedural knowledge and analytical abilities
d) grading and ranking of students

EVS MCQ Exercise Practice Set-1 for CTET & TETs

11- If Intelligence Quotient of a student is 100, it means that
a) the student is genius
b) intelligence level of the student is maximum
c) mental age of the student is more than chronological age
d) mental age of the student is same as the chronological age

12- Most appropriate formative task to assess the students’ understanding of data analysis is?
a) quiz
b) role play
c) crossword
d) survey based project

13- If student writes ‘five thousand fifty’ as ‘550’, it means
a) concept of place value is not clear
b) does not have knowledge of numbers
c) does not have knowledge of Mathematics
d) does not know addition

14- Which of the following statements is not true about ‘mapping’ in Mathematics?
a) Mapping strengthens spatial thinking
b) Mapping promotes proportional reasoning
c) Mapping is not a part of Mathematics curriculum
d) Mapping can be integrated in may topics of Mathematics

15- Mathematical communication refers to
a) ability to consolidate and organise mathematical thinking
b) ability to solve problems
c) skills to participate in Mathematics quiz
d) ability to speak in Mathematics classroom

16- Which of the following is not an objective of teaching Mathematics at primary level according to NCF, 2005?
a) Preparing for learning higher an abstract Mathematics
b) Making Mathematics part of child’s life experiences
c) Promoting problem-solving and problem posing skills
d) Promoting logical thinking

17- According to the NCF, 2005 which one of the following is not a major aim of Mathematics education in primary schools?
a) To Mathematise the child’s thought process
b) To relate Mathematics to the child’s context
c) To enhance problem-solving skills
d) To prepare for higher education in Mathematics

18- As per the NCF 2005, the narrow aim of teaching Mathematics at schools is to
a) teach daily life problems related to linear algebra
b) develop numeracy related skills
c) teach algebra
d) teach calculation and measurement

19- NCF 2005 emphasizes that
a) Maths shall be taught to selective students
b) succeeding in Mathematics should be mandatory for every child
c) students should be tested first for their logical mathematical ability
d) Maths curriculum shall be separate for low achievers

20- When faced with word problems, Rajan usually asks “should I add or subtract.” “Should I multiply or divide?” Such questions suggest
a) Rajan cannot add or multiply
b) Rajan seeks opportunities to disturb the class
c) Rajan has problem in comprehensing language
d) Rajan lacks understanding of number operations

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21- ‘Mathematics puzzles’ at primary level help in
a) identifying brilliant students of the class
b) providing fun to students
c) testing problem-solving skills
d) promoting problem-solving skills

22- To introduce the concept of fractions a teacher can begin with
a) identifying numerators and denominators of different
b) finding fractions on a numbers line
c) writing fractions in the form of a/b where b is not equal to 0
d) identifying the fractional part of things around them

23- The nature of Mathematics is
a) ornamental
b) logical
c) difficult
d) not for common

24- Most appropriate strategy that can be used to internalize the skill of addition of money is
a) use of models
b) role play
c) solving lots of problems
d) use of ICT

25- To be a “good” mathematician one must be able to
a) master the techniques of answering questions
b) memorize most of the formulae
c) solve the problem in no time
d) understand, apply and make connection across all the concepts

26- Oral examples help to develop which power in pupils?
a) Thought
b) Logic
c) Imaginations
d) All of the above

27- Success in developing values in mainly dependent upon
a) government
b) society
c) family
d) teacher

28- The main goal of Mathematics education is
a) to formulate theorems of Geometry and their proofs independently
b) to help the students to understand Mathematics
c) to develop useful capabilities
d) to develop children’s abilities for mathematization

29- Which work is not related with a teacher?
a) Planning
b) Guidance
c) Teaching
d) Budgeting

30- Most of use of Mathematics done in the activities of human life, that is?
a) cultural
b) psychological
c) social
d) economical

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Answers of above Math Pedagogy Questions – MCQ Exercise Set-2

1(a), 2(c), 3(b), 4(c), 5(a), 6(c), 7(c), 8(a), 9(b), 10(a), 11(d), 12(d), 13(a), 14(c), 15(a), 16(a), 17(d), 18(b), 19(b), 20(d), 21(d), 22(d), 23(b), 24(b), 25(d), 26(d), 27(d), 28(d), 29(d), 30(d)

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Maths Practice Set

Math Pedagogy MCQ Exercise Set-1 for CTET & TET

Math Pedagogy MCQ Exercise

In this following section of Math Pedagogy MCQ Exercise for CTET & TETs, 30 questions (MCQ) with 4 choices are given. Choose the right answer for each question. Answer of these important Math Pedagogy questions are available in the last of this post. Check how many of your answers are correct.

Maths Pedagogy MCQ Exercise

1- If a learner is having problem with numbers and calculations she/he maybe having disability known as
a) dysgraphia
b) dyscalculia
c) visual-spatial organisation disability
d) dyslexia

2- Mohan, a student of class IV, is able to answer all questions related to Number System orally but commits mistakes while writing the solutions of problems based on Number System. The best remedial strategy to remove errors in his writing is
a) to give him 10 practice tests
b) to relate real life experiences with mathematical concepts
c) to provide him a worksheet with partially solved problems to complete the missing gaps
d) to teach more than one way of solving problems of Number System

3- A teacher introduced multiplication in her class as repeated addition and then by grouping of same number of objects taken multiple times she introduced the ‘x’ symbol and further conducted a small activity of finding product using criss-cross lines or matchsticks. Here, the teacher is
a) providing remedial strategies for low achievers in Mathematics
b) using multiple representations to make the class interesting
c) developing a lesson and taking students from concrete to abstract concept
d) catering to learners with different learning styles

4- A teacher asks Rashmi of class V about the perimeter of a figure.
She also asked Rashmi to explain the solution in her words. Rashmi was able to solve the problem correctly but was not able to explain it. This reflects that Rashmi is having?

a) poor confidence level and poor mathematical skills
b) poor understanding of concept of perimeter but good verbal ability
c) lower language proficiency and lower order mathematical proficiency
d) lower language proficiency and higher order mathematical proficiency

5- Which of the following is not the objective of a diagnostic test in Mathematics?
a) To find out the weakness or deficiency of a child in learning
b) To fill progress report of children
c) To give feedback to the parents
d) None of the above

Read – Parts of Speech

6- When teaching addition of fractions, a teacher came across the following error?
1/2 + 1/3 = 2/5 what remedial action can the teacher take in such situation?

a) Help the child to understand the concept of LCM
b) Ask the child to practice as much as she can
c) No intervention is needed because she will understand as she grows
d) Help the child to understand the magnitude of each fraction

7- In an elementary class, a student commits mistake in multiplication of numbers in the way as 4×1=5, 5×1=6 etc. What type of remedial teaching programme should be planned?
a) Use visual presentation in shapes
b) More and more practice
c) Estimation
d) All of the above

8- To introduce the concept of fractions, a teacher can begin with
a) writing fractions in the form of a/b where b is not equal to 0
b) identifying fractional parts of things around them
c) identifying numerators and denominators of different fractions
d) finding fractions on a number line

9- When faced with word problems, Raghu usually asks “Should I add or subtract?”, “Should I multiply or divide?” Such questions suggest
a) Raghu lacks understanding of number operations
b) Raghu can not add and multiply
c) Raghu seeks opportunities to disturb the class
d) Raghu has problems in comprehending language

10- The purpose of diagnostic test in Mathematics is
a) to fill the progress report
b) to plan the question paper for the end-term examination
c) to know the gaps in children’s understanding
d) to give feedback to the parents

EVS MCQ Exercise Practice Set-1 for CTET & TETs

11- In a class, a teacher asked the students to define a quadrilateral in different ways – using sides, using angles, using diagonals etc. The teacher’s objective is to
a) help the students to explore various definitions
b) help the students to understand quadrilateral from different perspective
c) help the students to memorize all definitions by heart
d) help the students to solve all problems of quadrilateral based on definitions

12- Which of the following teaching-learning resources would be the most appropriate to teach the concept of addition of two decimal numbers?
a) Geo board
b) Beads and string
c) Graph paper
d) Abacus

13- A given rectangle and a parallelogram have the same area. However, many class IV student respond that the parallelogram has the larger area. How can a teacher help the students to understand that their area are the same?
a) Using paper folding
b) Using scale
c) Using a geo board
d) Using a graph paper

14- Manipulative tools are important for learners at primary level as they help them most to
a) speedup oral and mental calculations
b) perform better in examinations
c) understand basic mathematical concepts
d) solve word problems

15- Which one of the following manipulative tools is required to develop geometrical concepts of ‘symmetry’ and’ reflection’ in class IV?
a) Beads string
b) Dot paper
c) Abacus
d) Two sided counter

Read – Math Pedagogy Questions – MCQ Exercise Set-2 for TET

16- Some students of class II, faced difficulty in the addition of two-digit numbers involving ‘carry over’. Reason behind this problem is lack of
a) interest in Mathematics
b) understanding of difference between place value and face value
c) understanding the importance of zero
d) understanding of regrouping process

17- ‘Vedic Mathematics’ is becoming popular now-a-days especially among primary school children and is used to enhance
a) the algorithmic understanding of students in Mathematics
b) the problem solving skills of students in Mathematics
c) the concentration of students in Mathematics
d) the calculation skill and speed in Mathematics

18- At primary level use of tangram, dot games, patterns etc., helps the students to
a) understand basic operations
b) enhance spatial understanding ability
c) develop sense of comparing numbers
d) strengthen calculation skills

19- Geo-board is an effective tool to teach
a) basic geometrical concepts like rays, lines and angles
b) geometrical shapes and their properties
c) difference between 2D and 3D shapes
d) concept of symmetry

20- A student was asked to read the following numbers 306, 408, 4008, 4010. He reads as follows:
Thirty six, forty eight, four hundred eight, forty ten. The reason for error in reading is that

a) the student does not like Maths class and finds the class boring
b) the student has understood the concept of place value but does not know how to use it
c) the student is not fit for study of Maths
d) the student is not able to understand the concept of place value and feels comfortable using two digit numbers only

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21- The most appropriate tool to expose the students of Class II to plane figures, its vertices and edges is
a) blackboard surface
b) geo board
c) nets of 3D solids
d) cubes

22- A child displays difficulty in differentiating between numbers, operations and symbols, two clock hands, different cins etc. This implies that the specific barrier affecting his learning is
a) poor motor skills, reading and writing skills
b) poor verbal, visual, auditory and working memory
c) poor visual processing ability i.e. visual discrimination, spatial organisation and visual coordination
d) poor language processing ability i.e. expression, vocabulary ad auditory processing

23- Use of Abacus in Class-II does not help the students to
a) understand the significance of place value
b) read the numbers without error
c) write the numeral equivalent of numbers given in words
d) attain perfection in counting

24- The concept of areas of plane figures can be introduced to the students of Class-V by
a) measuring the area of any figure with the help of different objects like palm, leaf, pencil, etc.
b) calculating the area of a rectangle by finding length and breadth of a rectangle and using the formula for area of a rectangle
c) stating the formula for area of rectangle and square
d) calculating the area of figures with the help of counting unit squares

25- “Problem solving” as a strategy of doing Mathematics involves
a) activity based approach
b) estimation
c) extensive practice
d) using clues to arrive at a solution

26- Which of the following can not be considered as a reason for fear and failure in Mathematics?
a) Classroom experiences
b) Symbolic notations
c) Structure of Mathematics
d) Gender difference

27- Which of the following problems from the textbook of Class IV refers to “multidisciplinary problem”
a) Draw the flag of India and identify the number of lines of symmetry in the flag
b) Draw the mirror image of a given figure
c) How many lines of symmetry are there in a given figure?
d) To draw a line of symmetry in a given geometrical figure

28- Possible indicator pertaining to visual memory barrier hampering with learner’s Mathematical performance is
a) difficulty in retaining mathematical facts and difficulty in telling time
b) difficulty in using a number line
c) difficulty to count on within a sequence
d) difficulty in handling small manipulations

29- A child of Class III reads 482 as four hundred eighty two but swites it as 40082. What does this indicate for a teacher?
a) Child is not attentive in the class is a careless listener
b) Child is a careful listener but has not established sense of place value
c) Child is confusing the expression of number in expanded form and in short form
d) Teacher should teach the concept of place value when the children are able to write numbers correctly

30- Which of the skills do you consider most essential for a teacher?
a) Encourage children to search for knowledge
b) Have all the information for the children
c) Ability to make children memorize materials
d) Enable children to do well in tests

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Read – Math Pedagogy Questions – MCQ Exercise Set-2 for TET

Answers of above Maths Pedagogy Practice Exercise for CTET & other TET

1(b), 2(c), 3(c), 4(d), 5(d), 6(a), 7(b), 8(b), 9(a), 10(c), 11(b), 12(a), 13(d), 14(c), 15(b), 16(d), 17(d), 18(b), 19(b), 20(d), 21(b), 22(c), 23(c), 24(a), 25(a), 26(d), 27(a), 28(a), 29(b), 30(a)

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Maths

Types of Numbers – Natural, Whole, Prime Number etc.

Number Types Prime Number, Natural Number, Whole Number etc

Question on Types of Numbers is generally asked in most of the competitive exams like SSC CGL, CTET, TET etc. In this post you will learn Number Types like Natural Numbers, Whole Numbers, Prime Number, Composite Number etc.

Number Types

Natural Numbers

Numbers 1, 2, 3, 4, 5, 6,……. which are used to count the objects are called natural numbers.

Note: Zero (0) is not a natural number.

Whole Numbers

All natural numbers (1,2,3,4….) together with zero (0) are called whole numbers.

Integers

All natural numbers (1,2,3,4,…..) together with their negatives (-1,-2,-3,…) and with zero (0) are called integers.

1,2,3,4,5… are called positive integers and -1,-2,-3…. are called negative integers.

Note: Zero (0) is neither positive nor negative integer.

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Prime Numbers

A number greater than one (1) which can not be divided by any number except one (1) and itself is call a prime number.

e.g. 2, 3, 5, 7, 11 etc.

Composite Numbers

Numbers greater than one (1) which are not prime numbers are called composite numbers.

e.g. 4, 6, 8, 9, 10 etc.

Even Numbers

The numbers which are divisible by 2 are called even numbers.

e.g. 2, 4, 6, 8, 10 etc.

Note: 2 is the only prime number which is even number also.

Odd Numbers

The numbers which are not divisible by 2 are called odd numbers.

e.g. 1, 3, 5, 7, 9, 11 etc.

Rational Numbers

A rational number can be represented in form of “p/q”, where p and q are integers and q is not equal to zero (0).

e.g. 2,3, 1/2, 2/3, 5 etc.

Note: All integers and fractions are rational numbers.

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Irrational Numbers

An irrational number can not be represented in the form of “p/q”, where p and q are integers and q is not equal to zero (0).

e.g. √2, √3 which always give an approximate value instead of absolute fraction or decimal number.

Successor Numbers

For any natural number the immediate next natural number is called successor number. In any natural number if we add one (1), we will get successor number of that number.

e.g. Two (2) is the successor number of one (1). Five (5) is the successor number of four (4).

Predecessor Numbers

For any natural number the immediate last natural number is called predecessor number. For any natural number if we subtract one (1), we will get predecessor number of that number.

e.g. Two (2) is the predecessor number of three (3). Five (5) is the predecessor number of six (6).

Decimal Numbers

A number containing a decimal point (.) is called a decimal number.

e.g. 1.2, 2.3, 1.1 etc.

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Maths

Basic Formulas of Area and Perimeter

In most of the competitive examinations, questions have been asked from Area and Perimeter. Basic formulas for calculation of Area and Perimeter of 2-Dimensional and 3-Dimensional figures have been given in this post.

FigurePerimeterAreaNomenclature
Trianglea+b+c(bh)/2b= base
h= altitude
a,b,c= side of triangles
Parallelogram2(a+b)aha= side
b= side adjacent to a
h= distance between the parallel sides
Rectangle2(a+b)aba= length
b= breadth
Square4aa2
d2/2
a= side
d= diagonal
Rhombus4a(d1d2)/2 a= side
d1 and d2= Diagonals
Trapeziumsum of 4 sidesh(a+b)/2a,b= parallel sides
h= distance between parallel sides
Circle2πr πr2 r= radius of circle
π= 22/7 or 3.1416
Semicircleπr+2r(πr2)/2 r= radius of circle
π= 22/7 or 3.1416

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Maths

How to Check Divisibility by 8, 9, 10, 11, 12, 15 and 16

In this post you will learn how to check divisibility of a number by 8, 9, 10, 11, 12, 15 and 16. After learning divisibility rules of 8, 9, 10, 11, 12, 15 and 16, you will be able to determine quickly, whether a certain number is divisible by a certain number (divisor) or not. For different divisors, the rules are different. Read them one by one and practice them as per exercise given. After a little practice you will be able to memorize all the rules.

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How to check divisibility by 8

Rule: It the last 3 digit of a number is divisible by 8, the number will be divisible by 8. If the last 3 digit of a number is 000 the number will be divisible by 8.

For example the last 3 digits of number number 134800 which are 800 is divisible by 8. Hence, the number 134800 will be divisible by 8. Similarly number 2000, 5000, 9000 shall be divisible by 8 because the last 3 digits of these numbers are 000.

Exercise: Check the divisibility of 123453, 5467854, 123120 by 8.

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How to check divisibility by 9

Rule: If the sum of all digits of a number is divisible by 9, the number will divisible by 9.

For example the number 31293 is divisible by 9 because the sum of all its digits 18 (3+1+2+9+3=15) is divisible by 9.

Exercise: Check the divisibility of 123453, 654435, 5467854, 123120 by 9.

Divisibility rule of 10

Rule: Any number which ends with 0(zero) will be divisible by 10.

For example numbers 340, 23, 450 shall be divisible by 10.

Exercise: Check whether 456, 340, 453 are divisible by 10 or not.

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Divisibility rule of 11

Rule: For any number, if the sum of digits at odd and even places are equal then the number will be divisible by 11. If the difference of sum of digits at odd and even places is divisible by 11 then also the number will be divisible by 11.

Example: Check the divisibility of 1345675 by 11. Sum of digits at odd place is 15 (1+3+6+5) and the sum of digits at even places are 15 (3+5+7). Since both the sum are equal the number 1345675 is divisible by 11.

Example: Check whether 9487456 is divisible by 11 or not. Sum of odd digit=27, Sum of even digit=16, Difference of sum at odd and even = 11. Since the difference 11 is divisible by 11 the number 9487456 will be divisible by 11.

Exercise: Check the divisibility of 12438473, 363523454, 849727291658 by 11.

How to check divisibility by 12

If any number is divisible by 3 and 4 both, the number will also be divisible by 12. Read how to check divisibility by 3 and 4.

For example, the number 144 is divisible is 3 and 4 both. Hence the 144 is divisible 12.

Exercise: Check the divisibility of 4567524 and 4523464 by 12.

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How to check divisibility by 15

Any number which is divisible by 3 and 5 both, the number is also divisible by 15. Read divisibility rule of 3 and 5.

For example, the 255 is divisible by both 3 and 5, hence it is also divisible by 15.

Exercise: Check divisibility of 3468, 345275, 98670 by 15.

Divisibility rule of 16

If last 4 digit of a number is divisible by 16, the number is also divisible by 16.

For example, last 4 digit of 725520 is divisible by 16. Hence, the number is also divisible by 16.

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