SYLLABUS AND SAMPLE QUESTIONS
Syllabus
(consist 9 units)
Unit-1:Pure Arithematic
(a) Number system
(b) Squares and square roots
(c) Cubes and cubes roots
Unit-2:Pure Arithematic
(a) Factors and multiples, divisibility, H.C.F. and L.C.M.
(b) Fractions and decimals
Unit-3:Commercial mathematics
(a) Percentage
(b) Profit and loss, discount, time and distance
(c) simple interest and compound interest
(d) Ratio and proportion
(e) Unitary methods and applications
Unit-4:Algebra
(a) Basic concepts and operations
(b) Algebraic identities
(c) Linear equation(one variable)
Unit-5:Algebra
(a) Exponents and powers
(b) Simplification of algebraic expressions
(c) Factorisation
Unit-6:Geometry
(a) Basic Concepts of Geometry
(b) Polygons and its angles
(c) Types of quadrilaterals, parallelograms
(d) Triangles,some important theorems on area
(e) Circles
(f) Faces, Verices and edges, pythagorean triplets
Unit-7:Mensuration
(a) Area of Trapezium, polygons
(b) Area of general quadrilaterals
(c) Circles
Unit-8:Mensuration
(a) Surface area of cube, cuboid and cylinder
(b) Volume of cube, cuboid and cylinder
Unit-9:
(a) Basic Statistics and Data Handling
Sample Questions
Q1. Number 4.123012300...is a
(a) Rational no. (b) Irrational no. (c) Whole no. (d) Natural no.
Q2. Which one is a prime triplet.
(a) 3,5,7 (b) 3,7,9 (c) 11,15,17 (d) 13,14,15
Q3. It a number is divisible by two co-primes, then it is also divisible by their product.
(a) True (b) False (c) Can't say
Q4. Replace the letter y in 37y8 by the smallest digit so that it is divisible by 11.
(a) 2 (b) 3 (c) 1 (d) 4
Q5. Find the L.C.M. of two numbers if their product is 9036 and their H.C.F. is 18.
(a) 109 (b) 340 (c) 108 (d) 502
Q6. Simplify
{(1.9)2-(0.9)2}/(1.9) + (0.9)
(a) 1 (b) 2 (c) 0.9 (d) 1.9
Q7. If 3A=4B=9C, then find A:B:C:
(a) 12:10:14 (b) 3:4:5 (c) 12:9:4 (d) None of these
Q8. Find the third proportion to 6:24
(a) 76 (b) 86 (c) 96 (d) 106
Q9. A ratio a:b is in simplest form if H.C.F. of a and b is
(a) 1 (b) 2 (c) 3 (d) 4
Q10. A gets 25% more salary than B, by what percent is B'salary less than A's salary.
(a) 12% (b) 30% (c) 25% (d) 20%
Q11. Find the value of a2+b2 if a+b=10 and a-b=2.
(a) 42 (b) 30 (c) 52 (d) 18
Q12. If x+1/x=4, find the value of x2+1/x2
(a) 16 (b) 14 (c) 18 (d) 21
Q13.Age of four sons is equal to father's age, after 10 years the age of father will be half of ages of the four children,
find the age of father
(a) 38 (b) 42 (c) 30 (d)33
Q14.Graph of the equation y=4x+9
(a)cuts both the axis (b)cuts X-axis only (c)cuts Y-axis only (d)noneof these
Q15. if two straight lines intersect then the adjacent angles are supplementary
(a) true (b)false (c) none of these
Q16.Find the number of sides of a regular polygon, if each of its interior angle is 1200
(a) 6 (b) 9 (c)12 (d)18
Q17.Diagonal of a square is 2, find the area of square.
(a) 6 (b) 3 (c) 9 (d)2
Q18. Find the area of triangle with base 5cm and whose height is equal to that of a rectangle with base 10
and area 40cm2
(a) 18 (b) 10 (c)21 (d) 33
Q19.A wire when bent in the form of square enclosed an area of 121cm2.
If the same wire is bent in the form of circle, find the area of circle
(a) 183 (b) 156 (c) 154 (d)130
Q20. A line equation x=y
(a) passes through origin (b)cuts x axis (c)cuts y axis (d)none of the above
