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CBSE Sample Papers for Class 10 Maths Standard Term 2 Set 1 with Solutions
February 11, 2022 by Veerendra
Students can access the CBSE Sample Papers for Class 10 Maths with Solutions and marking scheme Term 2 Set 1 will help students in understanding the difficulty level of the exam.
CBSE Sample Papers for Class 10 Maths Standard Term 2 Set 1 with Solutions
Time Allowed: 2 Hours
Maximum Marks: 40
General Instructions:
The question paper consists of 14 questions divided into 3 sections A, B, C.
All questions are compulsory.
Section A comprises of 6 questions of 2 marks each. Internal choice has been provided in two questions.
Section B comprises of 4 questions of 3 marks each. Internal choice has been provided in one question.
Section C comprises of 4 questions of 4 marks each. An internal choice has been provided in one question. It contains two case study based questions
Section – A
Question 1.
Find the value of a25 – a15 for the AP: 6, 9, 12, 15, ………………………..
OR
If 7 times the seventh term of the AP is equal to 5 times the fifth term, then find the value of its 12th term. (2)
Answer:
a = 6, d = 3 ;
a25 = 6 + 24(3) = 78
a15 = 6 + 14(3) = 48 ;
a25 – a15 = 78 – 48 = 30
Given A.P. is 6, 9, 12, 15 …..
a = 6, d = 9 – 6 = 3
Now, a25 – a15 = (a + 24d) – (a + 14d)
= 10d
= 10 x 3 = 30
OR
7(a + 6d) = 5 (a + 4 d)
⇒ 2a+ 22=0
⇒ a + lid = 0
⇒ t12 = 0
Let a and d be the first term and the common difference of the A.P., respectively.
Now, 7 a7 = 5a5
7(a + 6d) = 5 (a + 4 d)
7a + 42d = 5a + 20d
2a = -22d
a = -11d ………………………………… (i)
a12 = o + 11d
= -11d + 11d [From (i)]
= 0
Hence, the 12th term of the A.P. is zero.