On this page we have uploaded NBSE Class 9 Question Paper for Maths released by nbse.uk.gov.in. The question paper provided here from Nagaland State Board. Download the 2023 question paper pdf as well.
Nagaland State Board has published subject wise question paper for this year Class 9 students in its official portal NBSE.uk.gov.in. Here we have published Class 9 NBSE question paper 2023 for Maths subject. For more information regarding Nagaland Intermediate Class 9, 2023 Exam Date, Exam Pattern, Time, Date, How to prepare follow our website.
Nagaland Board (NBSE) Class 9 Question Papers – Maths Subject
Section – A
(1) Choose the correct answer from the given alternatives.
(a) The decimal expansion of 1/11 is
(i) a finite decimal
(ii) 1.41421
(iii) non – terminating repeating
(iv) non – terminating non – repeating
(b) (3 + √23) – √23 is
(i) an irrational number
(ii) a rational number
(iii) neither a rational nor an irrational number
(iv) none of these
(c) 1253/1 equals
(i) -15
(ii) -5
(iii) 5
(iv) 25
(d) The coefficient of x2 in 2 – x2 + x3 is
(i) 2
(ii) 1
(iii) 0
(iv) -1
(e) Zero of the polynomial p(x), where p(x) = x – 5 is
(i) 5
(ii) 0
(iii) -5
(iv) ± 5
(f) In the Cartesian plane, what is the name of the point where the two lines intersect?
(i) x – coordinate
(ii) y – coordinate
(iii) quadrant
(iv) origin
(g) The name of each part of the plane formed by the two lines is
(i) x – axis
(ii) y – axis
(iii) quadrant
(iv) origin
(h) The linear equation y = 3x + 5 has:
(i) a unique solution
(ii) Only two solutions
(iii) infinitely many solutions
(iv) no solution
(i) The area of an equilateral triangle is 100 √3 cm2. Then its side is
(i) 20√3 cm
(ii) 20cm
(iii) 10√3 cm
(iv) 5 cm
Section – B
(2) Factories: 4a2 + 12ab + 9b2 – 8a – 12b
(3) Write the coordinates of the given points in the figure.
(4) Find the value of K when x = 2, y = 1 is a solution of the equation 2x + 3y = K.
Section – C
(5) Find the value of a and b if 1/√5 + √2 = a – b√2
(6) (a) Show how √5 can be represented on the number line.
Or
(b) Represent √9.3 on the number line.
(7) Use the factor Theorem to determine whether g(x) = x – 3 is a factor of p(x) = x3 – 4x2 + x + 6
(8) (a) Factories 4y2 -4y + 1 by using suitable identities.
Or
(b) Evaluate the product 95 × 96 without multiplying directly.
(9) The adjoining signage is in the shape of an equilateral triangle, with side a. Find the area of the signage using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signage?
Section – D
(10) Answer any one from the following questions (a) to (c):
(a) Factories x3 + 13x2 + 32x + 20
Or
(b) Verify that:
X3 + y3 + z3 – 3xyz = 1/2 (x + y + z) [x – y)2 + (y – z)2 + (z – x)2]
Or
(c) If both (x +1) and (x -1) are factors of ax3 + x2 – 2x +b, find a and b.
(11) Answer any one from the following questions (a) to (c):
(a) The displayed model shows one side of the Louvre Museum in Paris, which is in the shape of an isosceles triangle. If its area is 60 m2 and the length of equal sides is 13 m, find its base.
Or
(b) The triangular side walls of a fly-over have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m as shown in the figure. The advertisement yield an earning of `5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?
Or
(c) A school is in a triangular plot of land. If the sides of the plot are in the ratio of 3 : 5 : 7 and its perimeter is 300m then, find the area of the plot.