All India

Time allowed: 180 minutes; Maximum Marks: 90

General Instructions:
1)  All questions are compulsory.
2) The question paper consists of thirty questions divided into 4 sections A, B, C and D. Section A comprises of ten questions of 01 mark each, Section B comprises of five questions of 02 marks each, Section C comprises ten questions of 03 marks each and Section D comprises of five questions of 06 marks each.
3)  All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question.
4)  There is no overall choice. However, internal choice has been provided in one question of 02 marks each, three questions of 03 marks each and two questions of 06 marks each. You have to attempt only one of the alternatives in all such questions.
5)  In question on construction, drawing should be near and exactly as per the given measurements.
6) Use of calculators is not permitted.

Section A Section B Section C Section D

Question 1

1. Write whether the rational number 511500 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 2

2. Write the polynomial, the product and sum of whose zeroes are −92 and−32 respectively.

Question 3

3. Write whether the following pair of linear equations is consistent or not:

x + y = 14

x − y = 4

Question 4

4. Write the nature of roots of quadratic equation 4x2+ 43x + 3 = 0.

Question 5

5. For what value of k, are the numbers x, 2x + k and 3x + 6 three consecutive terms of an A.P.

Question 6

6. In a ΔABC, DE || BC. If DE = 23 BC and area of ΔABC = 81cm2, find the area of ΔADE.

Question 7

7. If sec A = 157 and A + B = 90°, find the value of cosec B.

Question 8

8. If the mid-point of the line segment joining the points P (6, b − 2) and Q (−2, 4) is (2, −3), find the value of b.

Question 9

9. The length of the minute hand of a wall clock is 7 cm. How much area does it sweep in 20 minutes?

Question 10

10. What is the lower limit of the modal class of the following frequency distribution?

Section A Section B Section C Section D