Syllabus

(consist 9 units)

Unit-1: Arithematic

(a) Number system

(b) Exponents of real numbers, surds and rationalisation

Unit-2: commercial mathematics

(a) Compound interest and simple interest

(b) Profit, loss and discount

Unit-3: Algebra

(a) Polynomials, factorisations and expansions

(b) Algebraic identities

(c) Linear equations in two variables

Unit-4: Geometry

(a) Lines and angles

(b) Triangles and its angles, congruent triangles

(c) Inequalities in a triangle, mid-point theorem and pythagorus theorem

Unit-5: Geometry and Co-ordinate Geometry

(a) Quadrilaterals, parallelogram and their properties

(b) Circles

(c) Co-ordinate geometry

Unit-6: Mensuration

(a) Heron's formula

(b) Pyramids

Unit-7: Mensuration

(a) Surface area and volume of cube and cuboid

(b) Surface area and volume of cylinder and cone

(c) Surface area and volume of sphere

Unit-8: Probability and statistics

(a) Basic concepts of probability and statistics

(b) Tabular and graphical representaion of data

(c) Measurement of central tendency

Unit-9: Data Handling

Sample questions

Q1. Which statement is incorrect ?

(a) nagative of irrational number is irrational number
(b) Pi is an irrational number
(c) Sum of a rational number and an irrational number is irrational
(d) A non-terminating and non-repeating number is a rational number

Q2.Express 1.2727272...in the form of p/q

(a) 14/11 (b) 16/11 (c) 27/16 (d) 19/18

Q3. 10^x=64, what is the value of 10^(x/2)+1

(a) 40 (b) 60 (c)80 (d)90

Q4. An nth degree polynomial can have atmost---real roots

(a) n-1 (b) n (c)2 (d)3

Q5.If a²+b²+c²=40, a+b+c=10, find the value of ab+bc+ca

(a) 18(b) 19 (c)20 (d)30

Q6.Evaluate (30)³+(20)³-(50)³

(a) 0 (b) 90 (c)590 (d)-90000

Q7.If a+b+c=0, then find a²/bc+b²/ca+c²/ab

(a) 0 (b) 9 (c)3 (d)4

Q8.On dividing a number by 56, we get 30 as remaibder. On dividing the same number by 14 what will be remainder ?

(a) 2 (b) 9 (c)3 (d)4

Q9.In which quadrant point p will lie if ordinate is 4 and abscissa is -5

(a) I (b) II (c)III (d)IV

Q10.Through how many maximum number of quadrant can astraight line 2x+4y=9, pass

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

Q11. If the bisector of the vertical angle of a triangle bisect the base of the triangle, then the triangle is

(a) equilateral (b) isosceles (c)scalene(d)right angle triangle

Q12. The quadrilateral formed by joining the mid-ponits of the sides of a quarilateral in order ia a parallelogram

(a) scalene triangle (b) equilateral (c)false (d)true

Q13. Diagonals of a parallelogram divide it into four triangles of equal area

(a) true(b) false (c)can't say

Q14. Find the percentage increase in the area of a triangle if its each side is doubled

(a) no change (b) 900 (c)300 (d)400

Q15.Diagonals of the cube is 9, find lateral surface area of the cube

(a) 100 (b) 80 (c)60 (d)108

Q16.The sum of L, B and H of a cuboid is 20 units and lenth of its diagonal is 12. Find surface area of the cuboid

(a) 280 (b) 256 (c)310 (d)400

Q17.In frequency distribution ogive curves are graphical representation of

(a) cum. frequency (b) frequency (c)median (d)none of these

Q18.Weight is which type of variable

(a) constant value (b) discreate (c)continuous (d)pure constant

Q19.Which statement is false

(a)range of probability 0 to 1(both included)
(b)3 coins tossed once, then total number of outcome will be 3²
(c)Probability of sure event is 1
(d)Probability of impossible event is 0

Q20.The mean of n observation is x, if a constant d is added to each observation, then the new mean is

(a) x+d(b) x (c)d (d)no change