**Welcome to CTET Mathematics & Science Paper-2 Question Paper for Examination 2013 Section.** All Students can find here Central Teacher Eligibility Test (CTET) Paper-2 Part-II Mathematics & Science Studies Main Test Paper for CTET 2013 Examination online. Find here CTET Mathematics & Science Paper-2 Previous Year Question Paper which will help you for better examination preparation.

**1. Which of the following fractions: 3/8, 4/5, 31/40, 9/20, 7/10 is greater than 1/2 and less than 3/4 ?
**(1) 31/40

(2) 9/20

(3) 4/5

(4) 7/10

**2. Which of the numbers -20, - 3/4, 1/2, 10 is greater than its square ?
**(1) 1/2

(2) -3/4

(3) 10

(4) -20

**3. 3 x 10 ^{5} + 4 x 10^{3} + 7 x 10^{2} + 5 is equal to**(1) 3004705

(2) 3475 x 10

^{10}

(3) 304705

(4) 347500

**4. Sum of two numbers is 32. If one of them is - 36, then the other number is
**(1) -4

(2) 4

(3) -68

(4) 68

**5. In 2010, the population of a city is 30 · 3 million. This number is same as
**(1) 30300000

(2) 303000000

(3) 3030000

(4) 30030000

**6. If a ^{3} = 1 + 7, 3^{3} = 1 + 7 + b, 4^{3} = 1 + 7 + c, then the value of a + b + c is**(1) 58

(2) 75

(3) 77

(4) 110

**7. 210 - 1 is divisible by
**(1) 2

(2) 3

(3) 4

(4) 10

**8. Sum of HCF and LCM of 4, 20 and 28 is
**(1) 74

(2) 136

(8) 140

(4) 144

**9. Expressed as a percent 0·33 ÷ 0·11 is
**(1)1/300

(2) 1/3

(3) 30

(4) 300

**10. Sum of mean and median of the numbers 5·02, 5·18, 5·12, 5·007 and 5·018 is
**(1) 10·089

(2} 10·73

(3) 10·71

(4) 10·89

**11. Two squares have sides x em and (2x + 1) em, respectively. The sum of their perimeters is. 100 em. Area (in cm ^{2}) of the bigger square is
**(1) 64

(2) 81

(3) 225

(4) 289

**12. A car goes one kilometer at 30 km per hour and then goes another kilometer at 40 km per hour. The average speed (in kmlhour) of the car for 2 km is
**(1) 35

(2) 34

^{2/7}

(3) 33

^{3/7}

(4) 33

^{5/7}

**13. A cube has a volume 125 cm3. Area of its one face is
**(1) 5 cm

^{2}

(2) 20 cm

^{2}

(3) 25 cm

^{2}

(4) 30 cm

^{2}

**14. ∆ PQR and ∆ ∆ TQR are on the same base QR and on the same side of QR. If PQ = TR and PR = TQ, then which of the following is correct?
**(1) ∆ PQR = ∆ TQR

(2) ∆ PQR = ∆ TRQ

(3) ∆ PQR = ∆ RQT

(4) ∆ PQR = ∆ QTR

**15. A factor common to x ^{2} - 3x -10 is and x^{2} + 7x + 10 and**(1) x-5

(2) x+5

(3) x+2

(4) x-2

**16. In Class VII, a teacher taught the 'properties of all types of quadrilaterals'. In the class test that followed after the unit, the teacher asked the problems on construction of quadrilateral. No one in the class was able to perform in the test. The reason may be
**(1) all students of the class are dull

(2) there is a gap between instructions given in class and the assessment conducted

(3) the teacher is not able to create the interest of the students in this unit

( 4) the students were not serious about the class-test and had not prepared well

**17. "How does a square form a parallelogram ? Explain.",
The students are asked to write the answer to above question. The objective of the teacher is
**(1) giving an opportunity to students to think and reflect

(2) making the classroom more interactive

(3) exposing the students to open-ended questions

( 4) improving the writing skills of the students

**18. It is observed that to a problem like 'Show that the sum of any two odd numbers is an even number', most of the students replied by quoting one example, say, 5 + 7 =12. Students answered this question inappropriately as
**(1) students firmly believe that if a statement is true for one set of numbers, it is always true · and hence have developed strong strategy for making generalisations

(2) students have not learnt the logical proof for .the statement in the class

(3) students have not understood that in Mathematics 'any' is used · to indicate generalisations and hence are not able to answer correctly

(4) students have attained the formal operational stage as proposed by Piaget

**19. Portfolio of Mathematics students can have
**(1) record of hiRs. photographs, drawing and artwork

(2) record of classwork and homework notebooks

(3) record of assignments, worksheets, maths lab activity record, write-up of any mathematics model, mathematical posters and cards, any new type of problem attempted or generalisations made, etc.

(4) record of all class tests, unit tests conducted during the formative and summative assessment

**20. A lesson plan on unit of Mensuration includes one of the instructional objectives as follows :
"Learners will be able to understand the application of Mathematics." This instructional objective is
**(1) appropriate, as all units of Mathematics aim at this only

(2) appropriate, as unit on 'Mensuration' has lots of application in day-to-day life

(3) appropriate, as one must be able to apply the knowledge gained

(4) inappropriate, as the objective is vague and ill-defined

**21. Present NCERT text-books on Mathematics are written keeping in mind the recommendations of
**(1) National Curriculum Framework 2005

(2) National Policy on Education 1986

(3) Syllabus prescribed by CBSE in 2006

(4) Syllabus prescribed by State Board in 2006

**22. "The organisers of an essay completion decide that a winner gets a prize of Rs. 100 and a participant who does not 'Yin gets a prize of Rs. 25. The total prize money distributed. is Rs. 3,000. Find the number of winners, if the total number of participants is 63." Apart from checking the mathematical concept, what values can a teacher inculcate through this question amongst students, during the discussions ?
**(1) Winning is more important than participation

(2) Participation is more important

(3) Competency of writing a good essay is important

(4) Writing of thoughts on social issues can be developed as a regular habit and the opportunities to make your thoughts public can be availed through participation in essay competition

**23. Identify the open-ended problem.
**(1) Find the cube of 10.

(2) Write any 5 numbers whose cube is more than 64.

(3) Parikshit makes a cuboid of dimension 5 em, 2 em, 5 em. How many such cuboids are required to form a cube ?

(4) Find the cube-root of 512 using prime factorisation method.

**24. Which of the following is a heterogeneous mixture?
**(1) Air filled in a balloon

(2) Brass

(3) Stainless steel

(4) Iodised table salt

**25. A magnet is rolled in a mixture of iron filings and sulphur powder. It is observed that
**(1) iron filings get attracted to the N-pole and sulphur to the S-pole of the magnet

(2) iron filings get attracted to the S-pole and sulphur to the N-pole of the magnet

(3) only the iron filings get attracted equally to both poles of the magnet

(4) iron filings get attracted to both poles and sulphur clings in the middle of the magnet

**26. If you are asked to project the image of a well-lit painting on the wall, which one of the following optical devices would you select for this purpose?
**(1) Plane mirror

(2) Convex mirror

(3) Concave lens

(4) Convex lens

**27. An object of mass 5 kg is sliding on a smooth frictionless horizontal surface with a constant velocity of 10 metres per second. The force required to keep the object moving with the same velocity is
**(1) 0 newton

(2) 50 newtons

(3) 250 newtons

(4) 500 newtons

Select the correct sequence of parts in the human alimentary canal.

(1) Mouth · → oesophagus → stomach → small intestine → large intestine

(2) Mouth → stomach → oesophagus → small intestine → large intestine

(3) Mouth → oesophagus → stomach → large intestine → small intestine

(4) Mouth → stomach → oesophagus → large intestine → small intestine

**28. After physical exercise we sometimes get muscle cramps. This results due to
**(1) non-conversion of glucose to lactic acid

(2) conversion of pyruvate to lactic acid

(3) conversion of pyruvate to alcohol

(4) non-conversion of glucose to pyruvate

Select from the following a set having correct combination of organs that do not carry out any digestive function.

(1) Oesophagus, Buccal cavity, rectum

(2) Oesophagus, large intestine, rectum

(3) Oesophagus, Buccal cavity, large intestine

(4) Small intestine, large intestine, rectum

**29. The part of alimentary canal which receives bile juice from the liver and stores it in gall bladder is
**(1) Stomach

(2) Oesophagus

(3) Small intestine

(4) Pancreas

**30. The correct sequence of the complex processes involved in the digestion of food is
**(1) Ingestion → absorption → digestion → assimilation → egestion

(2) Ingestion → digestion → absorption → assimilation → egestion

(3) Ingestion→ digestion→ assimilation→ absorption → egestion

(4) Ingestion→ assimilation→ absorption → digestion → egestion

**31. Study the following statements about villi :
**A. They are finger-like projections.

B. They have very thin walls.

C. They have small pores through which food can pass easily.

D. They have a network of thin and small blood vessels close to the surface.

The statements which enable the villi to absorb digested food are

(1) A, Band C

(2) B, C and D

(3) C, D and A

(4) D, A and B

**32. Which of the following statements are true about photosynthesis ?
**A. In this process solar energy is converted into chemical energy.

B. In photosynthesis CO

_{2}and H

_{2}O are used.

G. In photosynthesis CO

_{2}is released and O

_{2}is consumed.

D. In photosynthesis O

_{2}is released and carbon monoxide is consumed.

(1) A and B

(2) Band C

(3) C and D

(4) A and D

**33. Before playing a sitar, a sitarist always 73. adjusts the tension of the string of the sitar and tries to pluck it suitably. By doing so the sitarist adjusts the
**(1) loudness of sound produced by sitar string

(2) amplitude of vibration

(3) intensity of sound

(4) pitch of the string of sitar

**34. Porters who carry heavy luggage always have a long piece of clot h with them. Before carrying the load on their heads they fold the cloth in the shape of a und disc and place it on their heads. By doing this they:
**(1) increase the area of contact of the load of luggage with their head

(2) decrease the fore exerted by the load of luggage on the he d

(3) decrease the thrust of the luggage

(4) save their heads from possible injury

**35. Some dinosaurs had feathers although they could not fly, but birds have feathers that help them to fly. In the context of evolution this means that
**(1) reptiles have evolved from the birds

(2) birds have evolved from reptiles

(3) there is no evolutionary connection between reptiles and birds

(4) feathers are homologous structures in both the organisms

**36. Geothermal energy is an alternative source of energy. For this energy, the most feasible regions are those that
**(1) are near the coastal regions

(2) have coal mines

(3) have thermal power plants

(4.) are over hot spots in the crust

**37. Select from the following a set of three metals which are found in free state.
**(1) Aluminium, copper, silver

(2) Gold, iron, silver

(3) Copper, gold, iron

(4) Silver, gold, platinum

**38. The crop nutrients available in fertilizers are
**(1) nitrogen, potassium and iron

(2) nitrogen, phosphorus and potassium

(3) nitrogen, phosphorus and iron

(4) nitrogen, sodium and potassium

**39.Out of the following, in which lesson is a general rule explained first and after that examples are illustrated ?
**(1) Deductive lesson

(2) Inductive lesson

(3) Cognitive lesson

( 4) Skill lesson

**40. Which one of the following is most appropriate about curriculum planning in Science ?
**(1) It is done to map the scientific topics studied in each term

(2) It is done to combine the scientific study with work in other subject areas

(3) It gives details of each unit of work for each term

(4) It is done to plan, the specific learning objectives of each lesson to build . upon prior learning

**41. A tightly structured lesson of Physics if taught with little flexibility is least conducive to the learning of the student who
**(1) is hyperactive

(2) is culturally disadvantaged

(3) has an IQ of 85

(4) has an IQ of 125

**42. Lesson planning in Life Sciences should be guided primarily by the consideration of
**(1) meeting the needs of the average child in the class

(2) satisfying parents

(3) the curriculum goals and learning outcomes

(4) providing pupils with work

**43. When upper-grade children do research work, the major problem the teacher has to contend with is
**(1) finding appropriate materials

(2) scheduling time in school library on internet

(3) gaining the co-operation of the public library

(4) discouraging children from copying verbatim from books and encyclopedias and guiding them effectively

**43. The project method of teaching is best associated with the philosophy of
**(1) Max Rafferty

(2) John Dewey

(3) Robert Hutchins

(4) B.F. Skinner

**44. A teacher is conducting a demonstration to motivate students, but the demonstration does not result in the expected outcome. The teacher is best advised to
**(1) withhold the demonstration and do it again

(2) tell the class that the demonstration failed and ask them to help/determine the reason

(3) find out and explain the cause of failure of the demonstration by involving students

(4) send a note to the Science co-ordinator, asking him/her to come to the room

**45. Which of the following techniques is not recommended for the Science teachers to· use in response to the complexity of learning ?
**(1) While introducing a complex concept, ask only open-ended questions to stimulate thinking of students

(2) Take a pre-test to find out previous knowledge of students

(3) Use manipulative materials for explaining the subtle processes

( 4) Plan the level of instruction slightly above the level of individual students but well within the level of the class

**46. In a mixed ability class with students in different stages of cognitive development, which one of the following strategies will be most suitable?
**(1) Using hands-on activities involving concrete objects for simplification of abstract concepts

(2) Regrouping the class into four groups as per the four stages of cognitive development proposed by Piaget

(3) Planning individual instruction for gifted students

(4) Taking an average of the IQ scores of students and planning teaching accordingly

**47. Of the following activities in a Science class, the one with least educational value is
**(1) Constructing a model

(2) Reading about a simple experiment

(3) Discussing a scientific principle

(4) Drawing a design

Source: ctet.nic.in