Mathematics (II A) (Previous Year Questions)
MATHEMATICS
NUMBERS
(Sub-topics: Numbers and four operations; Hindu-Arabic and International systems; Place and face value; Comparing and ordering; Whole numbers; Factors and multiples; Prime and composite; Tests for divisibility; HCF and LCM; Integers; Fractions and decimals; Rational numbers; Squares, square roots, cubes, cube roots; Playing with numbers.)
1296 Value =
Write all the prime factors of 48.
The greatest two digit prime number is
One of the following is not a Pythagorean triplet
The Cube root of 729 is
The rational number between 1/2 and 1/3 is
ARITHMETIC
(Sub-topics: BODMAS; Ratios and proportions; Percentage and applications; Profit & Loss; Discount; Taxes; Simple & Compound Interest.)
The cost of 20 meters cloth is Rs. 1600 then the cost of 24.5 meters cloth is (in rupees)
If Eswar pays an interest of `2500 for 4 years on a sum of `5000, then the rate of interest per annum is
An item marked at `840 is sold for `714. Then the percent of discount is
Rs. 3500 is given at 7% p.a rate of interest. Then the interest received at the end of two years (in Rs.)
Waheeda bought an air cooler for Rs. 3300 including a tax 10%. Then the price of the air cooler before VAT was added is (in Rs.)
If 5 persons can finish a work in 10 days then one person can finish the same work in (days)
GEOMETRY
(Sub-topics: Basic geometrical concepts; Lines and angles; Triangles and their properties; Quadrilaterals; Polygons; 3D shapes; Nets.)
If the diagonals of a rhombus are 48 cm and 20 cm then perimeter of the rhombus is
The circumference of a circle is 66 m then its area is ____ sq.m.
The area of Rhombus is 96 sq.cm and one of its diagonals is 16 cm then the length of the other diagonal is (in cm.)
The length of a rectangle is 5 cm and breadth is 3 cm. Then the perimeter of the rectangle is
If ‘r’ is radius of a circle then the circumference of a half circle is
DATA HANDLING
(Sub-topics: Reading and interpreting data; pictograph, tally marks, bar graphs, pie charts; Mean, Mode, Median; Probability.)
Median of 3.3, 3.5, 3.1, 3.7, 3.2 and 3.8 is
Find the mode of the data 13, 16, 12, 14, 19, 12, 14, 13, 14
The marks (out of 100) obtained by a group of students in … (data/intervals question in source)
ALGEBRA
(Sub-topics: Patterns; variables; formation of algebraic expressions; linear equations in one variable; operations on expressions; exponents; factorisation; linear graphs.)
“15x – 9” represents
In the following “2x + 3 = 9” represents
Solve 1/2 x – 1/4 = 3/2
The following is not a linear equation
Factorize 2x^3 – 10x^2 + 18x – 14
MENSURATION
(Sub-topics: Measuring length, weight, capacity, time; Perimeter and area formulas; Surface area and volume of cube, cuboid and cylinder; Symmetry; Units and conversions.)
The minute hand of a clock is 15 cm long. How far the tip of the minute hand moves in 1 hour (in cm)
A bottle contains 2.2 liters of juice. How many cups are required with volume of 200 ml to transfer the juice in them
A closed box with measurements of 60cm long, 40cm broad and 30cm height. Find the cost for painting the outer surface at the rate of 50 paise per 20 cm² (in rupees)
The price of one kg sugar is Rs. 32 then find the price of 2.75 kg sugar in rupees
Number of minutes in a day
If a water tap can fill a 50 litre tank in 5 hours. The same water tap can fill 75 litre tank in ___ hours.
The length of the arc of a circle is ‘l’ and radius of the circle is ‘r’ then its area in square meters
If 2A = 3B = 4C then A : B : C =
To convert paise into rupees we divide it by
Example for “Inverse Proportion”
A plot is 60 m long and 40 m wide. A path of 3 m wide is constructed around the plot. Then the area of path is (in m²)
Which error occurs when measuring the line segment by ruler
Which of the following is not a linear equation?
The number which is not a perfect cube among the following
Convert 12/16 into percent