Syllabus

(consist 9 units)

Unit-1:Algebra

(a)Real numbers

(b)Polynomials

(c)Pair of linear equations in two variables

Unit-2:Algebra

(d)Quadratic equations

(e)Arithmetic progressions

Unit-3:Geometry

(a) Triangles

(b)Circles

Unit-4:Co-ordinate geometry

Unit-5:Trigonometry

(a) Trigonometric ratios and trigonometric identities

(b)Application of trigonometry

Unit-6:Mensuration

(a)Perimeter and area related to circles

(b)Surface areas and volumes

Unit-7:Probability and Statistics

Unit-8:Commercial Mathematics

(a) S.I. and C.I.

(b) Percentage, Profit and Loss, Discount

(c) Time and Work, Time and Distance

Unit-9:Data Analysis

Sample Questions

Q1. If n is any natural number, then 6ⁿ-5ⁿ always ends with

(a) 4 (b)3 (c)1 (d) 2

Q2.Polynomials of degree two gives us:

(a)parabola (b)circle (c)straight line (d)straight line passing through origin

Q3.The pair of linear equations is inconsistent it means

(a)lines are perpendicular (b)lines are parallel (c)gives unique solution (d)gives many solutions

Q4.ABC is a right angle triangle right angled at A. A circle is inscribed in it the length of two sides containing the right angle are 3 cm and 4cm find radius of circle

(a)4cm (b)3cm (c) 2cm (d)1cm

Q5.In an equilateral triangle ABC, if AD perpendicular BC, and AD=3 find AB²

(a)12 (b) 10 (c) 8 (d)9

Q6.If three points are collinear,area of triangle formed by these points is

(a)2 units (b)4 units (c)0 units (d)none of these

Q7.If a and b are the zeros of the polynomials f(x)=x²-5x+k, such that a-b=1, find the value of k.

(a)2 (b) 6 (c)5 (d)7

Q8.If 10th term of an A.P. is 52 and 12th term is 20 more than 13th term find a and d

(a)2,3 (b)5,6 (c)3,7 (d)7,5

Q9.If tanx+cotx=2, find tan⁷x+cot⁷x

(a)4 (b)3 (c)2 (d)1

Q10.Find the value of tan10⁰tan15⁰tan75⁰tan80⁰

(a)4 (b)5 (c)2 (d)1

Q11.Sec5A=Cosec(A+36⁰), where 5A is an acute angle find the value of A.

(a)9 (b)3 (c) 6 (d)12

Q12.If 3=4tanx, find (4cosx-sinx)/(2cosx+sinx)

(a) 1 (b)12 (c)13/11 (d) 15/16

Q13.If cosx+cos²=1, then find sin²A+sin⁴A= ?

(a) 2 (b)1 (c)3 (d)4

Q14.Intersection point of both the ogive curve give us

(a)mean (b)mode (c)median (d)standard deviation

Q15.If mode of a series exceeds its mean by 12,then mode exceed the median by

(a)8 (b)30 (c)15 (d)6

Q16.What is highest power of 6 that divides 9!

(a) 5 (b) 4 (c)6 (d)7

Q17.If diameter of a circle is increased by 30%, then area increased by

(a) no change (b)30% (c) 69% (d)54%

Q18.A jar contains 21 balls some are green others are blue. If a ball is drawn at random from the jar, the probability that it is greenis 2/3. Find the number of blue marbles in the jar

(a) 12 (b)14 (c)15 (d)18

Q19.A bag contains 3 red balls, 5 black balls and 4 white balls.A ball is drawn at randomfrom the bag. What is the probability that the ball drawn is not red

(a)5/6 (b)2/3 (c)3/8 (d)3/4

Q20. Find the area of the sector(in cm²) of a circle whose radius is 14cm and angle of sector is 45⁰

(a)20 (b)27 (c)77 (d)100