CTET-EM #12 paper 2 set-m 2021

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MATHEMATICS

1. If 0.139 + 0.75 + 2.105 – (1.001) x 1.1 = 2 – k, then the value of k is

1 point

(1) 0.8925

(2) 0.982

(3) 0.1071

(4) 0.1075

Clear selection

2. If a = –3/4 and b = 5/6, then which of the following does not lie between a and b ?

1 point

(1) 0

(2) – 1/2

(3) – 2/5

(4) – 7/9

Clear selection

3. The product of 1.7 x 104 and 12.5 x 10–6 is expressed in the standard form as k x 10n. The value of (2k + n) is

1 point

(1) 2.125

(2) 1.125

(3) 2.25

(4) 3.25

Clear selection

4. Two numbers are in the ratio 3:5. If 12 is added to both the numbers, then the ratio becomes 5:7. The sum of the given two numbers is

1 point

(1) 32

(2) 40

(3) 48

(4) 56

Clear selection

5. The marked price of an article is Rs. 840. A shopkeeper gives a discount of 15% on the marked price and still makes a profit of 19%. What is the cost price of the article?

1 point

(1) Rs. 540

(2) Rs. 580

(3) Rs. 600

(4) Rs. 640

Clear selection

6. If 5x – 7/3 + 2 = 4x – 3/4 + 4x, then the value of (8x + 5) is

1 point

(1) 6

(2) 7

(3) 9

(4) 13

Clear selection

7. Let P = 12xy – 10y2 – 18x2,Q = 14x2 + 12y2 + 9xy, and R = 5y2 – x2 + xy then (P + Q) – R =

1 point

(1) 22xy – 3x2 + 3y2

(2) 22xy + 3x2 – 3y2

(3) 20xy – 7x2 – 3y2

(4) 20xy – 3x2 – 3y2

Clear selection

8. If x4 +1/x4 = 322, x ≠ 0, then one of the values of x-(1/x) is

1 point

(1) 2

(2) 4

(3) 6

(4) 8

Clear selection

9. If 15x2 – 26x + 8 = (Ax + B) (Cx + D), where A and C are positive integers, then what is the value of (2A + B – C –2D) ?

1 point

(1) 0

(2) 1

(3) 2

(4) 3

Clear selection

10. In ΔABC and ΔDEF, if AB = EF, BC = DE and CA = FD, then

1 point

(1) ΔABC ≅ ΔDEF

(2) ΔABC ≅ ΔFED

(3) ΔABC ≅ ΔEFD

(4) ΔABC ≅ ΔDFE

Clear selection

11. Which of the following can be the sides of a right angled triangle ?

1 point

(1) 20 cm, 21 cm and 31 cm

(2) 35 cm, 77 cm and 88 cm

(3) 15 cm, 32 cm and 57 cm

(4) 65 cm, 72 cm and 97 cm

Clear selection

12. The number of edges of a polyhedron, which has 7 faces and 10 vertices, is

1 point

(1) 13

(2) 14

(3) 15

(4) 17

Clear selection

13. In ΔABC, the side AB is produced to E and side CA is produced to D. If ∠BAD = 125º and ∠EBC = 100º, then which of the following is true ?

1 point

(1) ∠ABC is an isosceles triangle.

(2) AB > BC

(3) Difference between ∠ABC and ∠ACB is 35º

(4) Difference between ∠BAC and ∠ACB is 20º

Clear selection

14. In trapezium PQRS, PQ || SR and the ratio of PQ to SR is 3:2. If the area of the trapezium is 480 cm2 and the distance between PQ and SR is 12 cm, then the length of SR is

1 point

(1) 24 cm

(2) 32 cm

(3) 36 cm

(4) 48 cm

Clear selection

15. A rectangular sheet of paper 88 cm x 10 cm is folded without overlapping to make a cylinder of height 10 cm. What is the capacity (in litres) of the cylinder ? (Take π =22)

1 point

(1) 5.54

(2) 6.16

(3) 7.392

(4) 8.624

Clear selection

16. The volume of a cube is 2197 cm3. What is its lateral surface area (in cm2)?

1 point

(1) 676

(2) 576

(3) 845

(4) 1014

Clear selection

17. What is the mean of the range, mode and median of the data given below ? 5, 10, 3, 6, 4, 8, 9, 3, 15, 2, 9, 4, 19, 11, 4

1 point

(1) 8

(2) 9

(3) 10

(4) 12

Clear selection

18. Which of the following is most appropriate strategy for introducing the concept of multiplication of two decimal numbers in the middle school ?

1 point

(1) The algorithm should be used to introduce the concept.

(2) The process should be visually represented.

(3) Multiplication as repeated addition should be emphasized.

(4) Multiplication as inverse of division should be emphasized.

Clear selection

19. Which of the following is a narrow aim of teaching mathematics ?

1 point

(1) To encourage systematic reasoning among students.

(2) To develop students’ ability to argue the truth and falsity of statements.

(3) To make students proficient in handling numbers and number operations.

(4) To develop students’ generalization abilities.

Clear selection

20. Which of the following is most appropriate strategy for teaching students to solve mathematical problems ?

1 point

(1) Guess and verify approach should be strictly discouraged.

(2) The list of formulae required for solving the given set of problems should be provided in the beginning.

(3) Teacher should begin by explaining the steps required for obtaining the solutions of the problems.

(4) Students should be encouraged to view a problem from many perspectives.

Clear selection

21. Identify the incorrect statement from among the following :

1 point

(1) Hypothesis have a role in construction of mathematical knowledge.

(2) The notion of argumentation is central to mathematics.

(3) Mathematical communication involves precise use of language.

(4) Conjectures do not have utility in constructing mathematical knowledge.

Clear selection

22. Which of the following is a desirable strategy for assessing students’ learning in mathematics ?

1 point

(1) Same tasks should be given to all students for parity.

(2) Students’ incorrect answers should be ignored.

(3) Students’ justification of their responses should be an important basis of assessment.

(4) Development of mathematical vocabulary should not be a basis of assessment.

Clear selection

23. For a given figure to be a triangle, the condition that it is a union of three segments is

1 point

(1) a necessary but not a sufficient condition.

(2) a sufficient but not a necessary condition.

(3) both necessary and sufficient condition.

(4) neither necessary nor sufficient condition.

Clear selection

24. Consider the following statements :A = If n is even, then n2 is even.B = If n2 is not even, n is not even.C = If n2 is even, then n is even.D = If n is not even, then n2 is not even. Which of the following statements is true ?

1 point

(1) C is converse of A.

(2) D is converse of A.

(3) B is inverse of A.

(4) D is contraposition of A.

Clear selection

25. Which of the following teaching learning resources in mathematics cannot be used for visually challenged students ?

1 point

1) GeoGebra

(2) Taylor’s abacus

(3) Tiles

(4) GeoBoard

Clear selection

26. Which of the following statements is true ?

1 point

(1) Mathematics consists of all the theorems proved in mathematics books.

(2) A person good in arithmetical computation is also good in Mathematics and vice-versa.

(3) Intuition has no role in generating mathematical knowledge.

(4) Mathematical statements can be conditional.

Clear selection

27. Which of the following statements is NOT correct regarding differently abled children of dyslexia in mathematics learning in an inclusive classroom ?

1 point

(1) Dyslexia has an impact in a person’s co-ordination of verbal and spatial aspects of numbers.

(2) Visual patterns in mathematics help in overcoming difficulties experienced by dyslexic children.

(3) Dyslexic children may have difficulty in writing down their ideas in systematic and organized manner.

(4) Dyslexia impacts only language learning not mathematics learning

Clear selection

28. The number of distinct prime factors of the largest 6-digit number is

1 point

(1) 3

(2) 4

(3) 5

(4) 6

Clear selection

29. If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y) ?

1 point

(1) 1

(2) 2

(3) 3

(4) 4

Clear selection

30. Let a =11/13, b =13/14 and c =15/17 be three fractions. Which of the following is true ?

1 point

(1) 13/14 <11/13 <15/17

(2) 15/17 <13/14 <11/13

(3) 11/13 <15/17 <13/14

(4) 11/13 <13/14 <15/17

Clear selection

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