CTET Mathematics Paper 2 Mock Test Set 1

1. The sum of all possible values of a, for which the 4-digit number 547a is divisible by 3, is

2. In the product of (9??^?? +15 - x) and (-1 - x + x²), if A, B and C are the coefficients of x³, x² and x respectively, then the value of (A + B -C) is

3. Which of the following numbers does not lie between -??/?? and ??/??

4. The perimeter of a trapezium is 58 cm and sum of its non-parallel sides is 20 cm. If its area 152 cm², then the distance between parallel sides (in cm) is

5. If the weight of 18 sheets of paper is 50 g, how many sheets of the same paper will weight 3 3/4 kg?

6. Find the value of ????????????/???? if ??????.??????/ ??.???????? = x

7. The factorisation of 25 - p² - q² - 2pq is

8. Buy three, get one free. What is the percentage of discount being offered here?

9. The value of [(— 4)÷2] x (— 3) —(—3)[(—3) x (—7) — 8] + (4)[(— 48)÷ 6] is

10. The measure of an angle for which the measure of the supplement is four times the measure of the complement is

11. A bag contains 3 white, 2 blue and 5 red balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is not red?

12. The distance between two places is 12 km. A map scale is 1: 25000. The distance between the two places on the map, (in cm) is

13. 40%of (100-20% of 300) is equal to

14. The square of 9 is divided by the cube root of 125. The remainder is

15. If xy =6 and x²y+xy²+x+y= 63, then the value of x² + y² is

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

17. Given n numbers, n > 1, ofwhich, one is 1- ??/?? and all others are 1's. The mean of the n numbers is

18. How many sides does a regular polygon have if its each angle is of measure 108°?

19. If 0.001+ 1.01+ 1.001- (1.03 x 0.1)+ (1.11÷0.1) + x =1.4 x (??/????)^−?? , then the value of the x is

20. One of the factors of ??^??+4 is

21. If a³ = 1+ 7, 33 = 1+ 7+ b and 4³ = 1+7+ C, where a, b and c are different positive integers, then the value of a + b + c is

22. If 800880 = ?? × ????^??+?? × ????^??+?? × ????^?? where x, y and z are whole numbers, then the value of x + y + z is

23. 24. A fraction is equivalent to ??/?? Its denominator and nunmerator add upto 91. What is the difference between the denominator and numerator of this fraction?

24. The number of fruits in baskets A and B are in the ratio 7:9. If six fruits are taken out from A and put in B, then this ratio becomes 1: 3. The total number of fruits in A and B is

25. If 5(3x + 4) – 8(6x + 7) = 9x – 8, then what is the value of (x² – 2x + 1)?

26. What is the mean of the median, mode and range for the data given below? 11, 25, 0, 8, 25, 30, 44, 50, 30, 18, 20, 17, 11, 9, 24, 25, 29

27. In a meeting, ??/???? of the members were female. What per cent of the members was this?

28. When x= ??/?? and y= −??/?? then the value of the expression 81x²+ 16y² - 72xy is

29. In ?ABC, AB =4 cm, AC =5 cm and BC =6 cm. In ?PQR, PR = 4 cm, PQ = 5 cm and RQ = 6 cm. ?ABC is congruent to

30. The measure of each interior angle of a regular convex polygon is 156°. The number of sides of the polygon is