UNIT TEST 2 (2022-2023)
MATHEMATICS
CLASS X, SET-A
DURATION: 1 HOUR
M.M. – 25
GENERAL INSTRUCTIONS :
• All questions are compulsory.
• Q1 is of 1 mark, Q2-Q5 are of 2 marks each, Q6-Q9 are of 3 marks each and Q10 is of 4 marks.
Q.1 Check whether 51 is a term of the AP 5,8,11,14, . . . ?
Q.2 The sum of the squares of two consecutive odd positive integers is 394. Find them.
Q.3 The sum of the first n terms of an AP is (5n²+3n), find its nth term.
Q.4 Find the values of p for which the quadratic equation (p+1)x²-6(p+1)x+3(p+9)=0 has equal roots.
Q.5 Find the 11th term from the end of the AP 10,7,4, . . ., -62.
Q.6 Solve for x : 1/(x-2)+2/(x-1)=6/x, x≠0,1,2
Q.7 Find the sum of all integers between 504 and 900, which are divisible by 7.
Q.8 The sum of 4th and 8th terms of an AP is 24 and the sum of 6th and 10th terms is 44. Find the AP.
Q.9 How many terms of the AP 54, 51, 48, . . . must be taken so that their sum is 513? Explain the double answer.
Q.10 An aeroplane left 50 minutes later than its scheduled time, and in order to reach the destination, 1250 km away, in time it had to increase its speed by 250 km/h from its usual speed. Find its usual speed.