CTET PAPER - II MATHEMATICS SOLVED PAPER

CTET (CENTRAL TEACHER ELIGIBILITY TEST ) 29 January 2012 Question Paper -II (Mathematics)

Candidates I am aligning figures and other changes, In the mean time you can see this Solved Paper.

31 The expression x2 - y2 + x + y - z2 + 2yz - z has one factor which is

(1) x - y - z +1

(2) y - x + z

(3) x - y + z +1 (Answer)

(4) x + y - z +1

32 How many times will I be writing 2 if I wrote down numbers from 11 to 199?

(1) 39

(2) 36

(3) 97

(4) 38 (Answer)

33 The mean of the median, mode and range the observations 6,6,9,14,8,9,9,8 is

(1) 10.5

(2) 8.5

(3) 8.8 (Answer)

(4) 10.3

34 Salman solves -3- 4 = +7 The error is committed as

(1) Salman has not understood the concept of multiplication of integers

(2) Salman is careless

(3) Salman is not clear about the concept of addition of integers (Answer)

(4) Salman needs to practice solving problems of similar type

35 Problem solving method is the

(1) cultivation of mathematical ingenuity, creativity and heuristic thinking by making

students open-minded

(2) gradual and systematic guiding through the hierarchy of mathematical notions,

ideas and techniques (Answer)

(3) teaching of mathematical results, definitions and concepts by repetition and

memorization

(4) teaching the development of mathematics within a historical, social and cultural

context

37 According to the given graph, between which two consecutive months was the change in

the auto sales the greatest?

(1) May-June

(2) January-February

(3) February-March

(4) April-May (Answer)

38 Two positive numbers x and y are inversely proportional. If x increases by 10%, then y decreases by

(1) 10 /11 %

(2) 10%

(3) 2 / 11

(4) 100 / 11 (Answer)

39 In the figure, ABC is an isosceles triangle with CA – CB and BC is produced to a point D. If CE ^ BC, such that ÐD = ½ Ð E  = ½ Ð A

Then measure of ÐACD is

(1) 140°

(2) 110°

(3) 120° (Answer)

(4) 135°

40 The least number which is a perfect square and is also divisible by 10, 12, 15 and 18 is

(1) 90 (Answer)

(2) 3600

(3) 2500

(4) 1600

41 ( )4 - 2 - 9 0 + 32 ¸1+ 3 is equal to

(1) 12

(2) 17

(3) 16

(4) 15 (Answer)

42 In the figure, in triangles PQR and TQR, PQ = TR and PR = TQ. Which of the following

statements is true?

(1) DPQR @ DQTR

(2) DPQR @ DTRQ

(3) DPQR @ DTQR (Answer)

(4) DPQR @ DRQT

43 When the number 3 power (98)  is divided by 5, the remainder is

(1) 4 (Answer)

(2) 1

(3) 2

(4) 3

45 While solving a problem based on ‘Pythagoras theorem’, a teacher draws the following triangle ABC. Rajan argued that the triangle ABC is not drawn correctly. The only way to draw it is

Rajan has the misconception as

(1) he lacks in analytical ability (Answer)

(2) he is weak in geometrical concepts

(3) his teacher must have always drawn the triangle in this particular way

(4) he has dysgraphia

46 The symbal drawn to any size means a + 4, and the symbol drawn to any sixe

means b2, where a and b are numbers. Then the value of is

(1) 9

(2) 75

(3) 35 (Answer)

(4) 32

47 In order to help the students with difficulties in remembering the geometrical the

geometrical terms and their meaning, a teacher must

(1) encourage group discussions

(2) stress on rote memorization of all terms and definitions

(3) use lots of activities like preparing or solving crossword puzzles, jig-saw puzzles,

etc. (Answer)

(4) test students on definition of geometrical terms

48 If xy = 6 and x2 y + xy2 + x + y = 63 , then the value of x2 + y2 is

(1) 69 (Answer)

(2) 23

(3) 55

(4) 61

49 A large basket of fruits contains 3 oranges, 2 apples and 5 bananas. If a piece of fruit is chosen at random, what is the probability of getting an orange or a banana?

(1) 1/55

(2)4/5 (Answer)

(3) 1/2

(4)7/8

50 Mr. Manish used lots of manipulative, Maths Lab activities and ICT activities to clarify the concept of ‘Symmetry’. Mr. Manish wants to

(1) cater to kinesthetic learners only

(2) cater to students of all learning styles (Answer)

(3) be popular amongst his students

(4) pass time so that he can avoid teaching of next topic, as it is not of his interest

54 Summative Assessment of the unit ‘Mensuration’ can be done through

(1) ICT activity

(2) Project work

(3) Maths Lab activity

(4) Paper-Pencil test (Answer)

55 The diameter of a cylindrical jar is increased by 25%. By what percent must the height of

the jar be decreased so that there is no change in its volume?

(1) 54

(2) 10

(3) 25

(4) 36 (Answer)

56 Ankur got zero marks in a word problem on linear equations in an assessment. The teacher

knows that he can solve linear equations correctly. The teacher ought to remark in his

report

(1) Ankur lacks concentration and hence has examination phobia

(2) Ankur is not studying and practicing at home

(3) Ankur has not understood the concept of linear equations completely

(4) Ankur has a problem in comprehending the language of the question, though he can

solve the equations (Answer)

57 While teaching ratio and proportions, Ms. Rana demonstrated some computer operations on the screen- ‘copy and paste’ and ‘copy and enlarge or ‘copy and reduce’. This activity may be

(1) fun activity to pass time

(2) pre-content activity to introduce ratio (Answer)

(3) post-content activity

(4) formative assessment activity

58 How many lines of symmetry does a parallelogram have?

(1) 4

(2) 3

(3) 2 (Answer)

(4) None

59 A suitable approach to introduce Coordinate Geometry in Class IX is through the use of

(1) Solving problems

(2) Lecture method

(3) Role play

(4) Demonstration using technology integration (Answer)

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Candidates I am aligning figures and other changes, In the mean time you can see this Solved Paper.