CTET Mathematics Paper 2 Mock Test Set 6

1. In triangles ?ABC and ΔDEF, ΔC = ?F, AC = DF, and BC = EF. If AB = 2x - 1 and DE = 5x - 4, then the value of x is

2. If AB x BA = BCB, where A, B and C stand for just one digit and A ≠ B ≠ C, then the value of A + B + C is

3. How many pairs of twin primes are there between the integers 1 to 100?

4. Let x be the least number which when divided by 8, 12, 20, 28, 35 leaves a remainder 5 in each case. What is the sum of digits of x?

5. The angles of a quadrilateral are in the ratio 3:5:7:9. What is the difference between the least and the greatest angles of the quadrilateral?

6. If 3x - 2/3 + 2x + 3/2 = x + 7/6 then the value of 5x - 2/4 is

7. The angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. The sum of the supplement of the largest angle and the complement of the smallest angle is

8. The ratio of the areas of two equilateral triangles is 16: 9. If the perimeter of the smaller triangle is 63 cm, then how much larger is a side of the larger triangle than a side of the smaller triangle?

9. A bag has 5 red marbles, 4 green marbles and 3 blue marbles. All marbles are identical in all respects other than colour. A marble is taken out from the bag without looking into it. What is the probability that it is a nongree marble?

10. Ravi purchased two articles for 1500 each. He sold them, gaining 6% on one and losing 4% on the other. His gain/loss percent in the whole transaction is

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

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

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

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

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

16. Some students of your class are repeatedly not able to do well in mathematics examinations and tests. As a teacher you would

17. Consider the following statement.
Every odd natural number is a prime number.
Which of the following methods of proof can be used to prove/ disprove the above statement?

18. Data handling at upper primary stage focuses on

19. As per NCF 2005, one main goal of Mathematics education in schools is to

20. As per the vision statement of NCF 2005, School Mathematics does not takes place in a situation, where children

21. A teacher in grade - VI provided each child with a centimetre grid paper and a pair of scissors. She wanted them to explore how two - dimensional shapes can be folded into three - dimensional objects. Which of the following concepts are the students exploring?

22. When introducing mensuration, a teacher writes all the formulae on the board before proceeding further. This reflects that she is following the

23. Which of the follomng statements is true of learning Mathematics?

24. A task is assigned to the Class VIII student is as follows. An open box is to be made out of a metallic sheet of 50 cm x 65 cm. Length and breadth of the box is 30 cm and 15 cm respectively. What is the possible height of the box? Also find the volume of this box. This task refers to

25. Which one of the following statements is not true for integers?

26. Which one of the following statements is true?

27. A Class VII teacher wants to discuss the following problem in the class. A square is divided into four congruent rectangles. The perimeter of each rectangle is 40 units. What is the perimeter of given square? Key Mathematical concepts required to solve this problem is

28. A student was asked to calculate the surface area of a cube. He calculated the volume.
The reason (s) of error in calculation is/are
A. The student finds the class boring as he does not like Mathematics class
B. The student is not fit to study in that class
C. The sttudent is not able to understand the concept of surface area and volume
D. The student has understood the concept of surface area and volume
Select the correct answer using the codes given below.

29. If q is the square of a natural number p, then p is

30. Following is a problem from text book of Class VI Express the following statement through linear expression Juhi has 7 more toffees than Reena. If Reena has x toffees, how many toffees does Juhi have? Which competence of Bloom's cognitive domain is referred in the above question?