Periodic Test-I — 2022-2023
Subject — Maths
Class — IX
Time:1½ Hrs.
MM.: 40
Section — A (1×10=10)
Q.1 The decimal expansion of √5 is :
a) Non-terminating Repeating
b) Non-terminating Non-Repeating
c) a finite decimal
d) None of these.
Q.2 (16/81)^-3/4 is
a) 8/27
b) 16/81
c) 81/16
d) 27/8
Q.3 (-3,4) lie in quadrant __
a) IV
b) III
c) II
d) I
Q.4 The area of a right-angled triangle whose legs are 12 cm and 14 cm in length is _
a) 168 cm²
b) 84 cm²
c) 42 cm²
d) 80 cm²
Q.5 The semiperimeter of a triangle whose sides are 4 cm, 13 cm and 15 cm is :
a) 16 cm
b) 11 cm
c) 32 cm
d) None of these.
Q.6 In co-ordinate (3,-5), the value of abscissa is _
a) -3
b) 5
c) -5
d) None of these.
Q.7 If the area of an equilateral triangle is 25√3 cm², then its perimeter is _
a) 10 cm
b) 30 cm
c) 15 cm
d) 20 cm
Q.8 If A(-2,3) and B(-3,5) are two given points then, 2[abscissa of B] + 3[ordinate of A]=______
a) 3
b) -3
c) 0
d) 13
Q.9 Which of the following is an irrational number?
a) √25
b) √(49/7)
c) √225
d) √400
Q.10 (-4,0) lies
a) on y-axis
b) On x-axis
c) II Quadrant
d) Origin
Section — B (2×3=6)
Q.11 Convert into p/q form: 3.8 (Bar on the digit 8)
Q.12 a) What is the perpendicular distance of the point P(-2,-7) from the y-axis.
b) In how many parts of the co-ordinate axis divides the plane? What is the name of each part?
Q.13 The sides of a triangle are 20 cm, 37 cm and 51 cm long. Then find the area of triangle.
Section — C (3×4=12)
Q.14 Find 4 rational numbers between -1/2 and 1/3
Q.15 Write the Quadrant or Axis :
a) (-1,-7)
b) (-3,2)
c) (2,-3)
d) (0,-4)
e) (-7,0)
f) (0,0)
Q.16 Find the area of triangle, two sides of which are 60 cm, 100 cm and the perimeter is 300 cm.
OR
The sides of a triangle are in the ratio 5:12:13 and its perimeter is 150 cm. Find the are of triangle.
Q.17 Rationalise : 2/(√11-3)
Section — D (4×3=12)
Q.18 The sides of a triangular field are 41 m, 40 m and 9 m. Find the number of rose beds that can be prepared in the field, if each rose bed requires 900 cm² space.
Q.19 Simplify
a) (5-√2)(3+√3)
b) (√3+√5)²
OR
Simplify and find the value of :
4/(216)^-2/3 + 1/(256)^-3/4 + 2/(243)^-1/5
Q.20 Represent √8.4 on number line.