# Class 10 Maths Sample Paper Term 2 With Solutions Set A

Please refer to Class 10 Maths Sample Paper Term 2 With Solutions Set A provided below. The Sample Papers for Class 10 Maths have been prepared based on the latest pattern issued by CBSE. Students should practice these guess papers for class 10 Maths to gain more practice and get better marks in examinations. The Term 2 Sample Papers for Maths Standard 10 will help you to understand the type of questions which can be asked in upcoming examinations.

## Term 2 Sample Paper for Class 10 Maths With Solutions Set A

SECTION – A

1. If (1 – p) is a root of the equation x2 + px + 1 – p = 0, then roots are
(a) 0, 1
(b) – 1, 1
(c) 0, – 1
(d) – 1, 2

2. If the roots of ax2 + bx + c = 0 are equal in magnitude but opposite in sign, then
(a) a = 0
(b) b = 0
(c) c = 0
(d) none of these

3. In an AP, if a = 3.5, d = 0, n = 101, then an will be
(a) 0
(b) 3.5
(c) 103.5
(d) 104.5

4. In an AP, if d = –2, n = 5 and an = 0, the value of a is
(a) 10
(b) 5
(c) –8
(d) 8

5. An AP consists of 31 terms. If its 16th term is m, then sum of all the terms of this AP is
(a) 16 m
(b) 47 m
(c) 31 m
(d) 52 m

SECTION – B

6. For what value of k, the given equation (4 – k)x2 + (2k + 4)x + (8k + 1) = 0 is a perfect square?

7. In an AP, the sum of first n terms is (5n2 / 2) + (3n/2) Find its 20th term.

SECTION – C

8. Solve for x : 1 / (a+b+x) =  1/a + 1/b + 1/x ; a ≠ 0, b ≠ 0, x ≠ 0

9. Which term of the sequence 17,16(1/5) ,15(2/5) ,14(3/5) ,…. is the first negative term?

10.How many terms of the AP 3, 5, 7, … must be taken so that the sum is 120?

SECTION – D

11.Solve for x : 2((2x-1) / (x+3)) – 3((x+3) / (2x-1)) = 5 ; given that x ≠ – 3, x ≠ .

CASE STUDY QUESTIONS

12.The speed of a motor boat is 20 km/hr. For covering the distance of 15 km the boat took 1 hour more for upstream than downstream.

(a) Let speed of the stream be x km/hr. then speed of the motorboat in upstream will be
(i) 20 km/hr
(ii) (20 + x) km/hr
(iii) (20–x) km/hr
(iv) 2 km/hr

(b) What is the relation between speed, distance and time?
(i) speed = (distance )/time
(ii) distance = (speed )/time
(iii) time = speed × distance
(iv) speed = distance × time

Answer : (i) speed = (distance )/time

(c) Which is the correct quadratic equation for the speed of the current ?
(i) x2 + 30x − 200 = 0
(ii) x2 + 20x − 400 = 0
(iii) x2 + 30x − 400 = 0
(iv) x2 − 20x − 400 = 0

Answer : (iii) x2 + 30x − 400 = 0

(d) What is the speed of current ?
(i) 20 km/hour
(ii) 10 km/hour
(iii) 15 km/hour
(iv) 25 km/hour

(e) How much time boat took in downstream?
(i) 90 minutes
(ii) 15 minutes
(iii) 30 minutes
(iv) 45 minutes

13.Your elder brother wants to buy a car and plans to take loan from a bank for his car. He repays his total loan of ₹ 1,18,000 by paying every month starting with the first instalment of ₹ 1000. If he increases the instalment by ₹ 100 every month, answer the following:

(a) The amount paid by him in 30th instalment is
(i) 3900
(ii) 3500
(iii) 3700
(iv) 3600

(b) The amount paid by him in the 30 instalments is
(i) 37000
(ii) 73500
(iii) 75300
(iv) 75000

(c) What amount does he still have to pay offer 30th instalment?
(i) 45500
(ii) 49000
(iii) 44500
(iv) 54000

(d) If total installments are 40 then amount paid in the last instalment?
(i) 4900
(ii) 3900
(iii) 5900
(iv) 9400