List of top Mathematics Questions

$sin \,12^{\circ} \,sin \,24^{\circ} \,sin \,48^{\circ}\, sin \,84^{\circ} =$
Study the diagram. The line l is perpendicular to line. m 
(a) Is CE = EG? 
(b) Does PE bisect CG? 
(c) Identify any two-line segments for which PE is the perpendicular bisector. 
(d) Are these true? 
(i) AC \(>\) FG 
(ii) CD = GH 
(iii) BC \(<\) EH 
line l is perpendicular to line

Simplify each of the following expressions: 

(i) (3 + √3)(2 + √2) 

(ii) (3 + √3)(3 - √3) 

(iii) (√5 + √2 )2 

(iv) (√5 - √2)(√5 + √2)

The two equal sides of an isosceles triangle with fixed base \(b\) are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base?
Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics. 16 study English, 22 Economics and 26 Mathematics, 5 study English and Economics, 14 Mathematics and Economics and 2 study all the three subjects. The number of students who study English and Mathematics but not Economics is
Find:
(i) 0.2 × 6
(ii) 8 × 4.6
(iii) 2.71 × 5
(iv) 20.1 × 4
(v) 0.05 × 7
(vi) 211.02 × 4
(vii) 2 × 0.86
The sum of n terms of two arithmetic series are in the ratio $2n + 3 : 6n + 5$, then the ratio of their 13th terms is
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
A student read common difference of an A.P. as - 3 instead of 3 and obtained the sum of first 10 terms as - 30. Then the actual sum of first 10 terms is equal to
A group of \(360\) people were asked to vote for their favourite season from the three seasons rainy, winter and summer. 
  1. Which season got the most votes? 
  2. Find the central angle of each sector. 
  3. Draw a pie chart to show this information.
SeasonNumber of votes
Summer90
Rainy120
Winter150


 

Write the function in the simplest form: \(\tan ^{-1}(\frac{3a^2x-x^3}{a^3-3ax^2}),a>0;\frac {-a}{\sqrt3} \leq x\leq\frac{ a}{\sqrt3}\)

$\frac{x + 4}{x -3} < 2 $ is satisfied when $x$ satisfies
Insert commas suitably and write the names according to International System of Numeration : 
(a) 78921092 
(b) 7452283 
(c) 99985102 
(d) 48049831
If $x\,sin \,\frac{\pi}{4}cos^{2}\, \frac{\pi}{3}=\frac{tan^{2}\left(\pi/3\right)cosec\left(\pi/6\right)}{sec\left(\pi/4\right)cot^{2}\left(\pi/6\right)}$, then $x=$
99th term of the series $2 + 7 + 14 + 23 + 34 + ..........$.is
1.1! + 2.2! + 3.3! +.....+ 10.10! =
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: 
(i) the length of the arc (ii) area of the sector formed by the arc (iii) area of the segment formed by the corresponding chord
Region represented by the in equation system x+y≤3,y≤6 and x≥0,y≥0 is:
A box contains 100 round discs, 50 square - shaped discs and 30 triangular discs. All the discs are made up of iron and have an equal probability of getting attracted by a magnet. If a magnet which can attract only one disc in one pass and the disc is passed over them twice. What is the probability that both times a triangular disc is attracted? The disc attracted in one pass does not fall into box again, however each time a square shaped disc is kept into the box.
Which of the following sets is a finite set?
Find the angle measure between the hands of the clock in each figure:
Find the angle measure
Determine if the following are in proportion.
(a) 15, 45, 40, 120
(b) 33, 121, 9,96
(c) 24, 28, 36, 48
(d) 32, 48, 70, 210
(e) 4, 6, 8, 12
(f) 33, 44, 75, 100

Solve \(tan^{-1} (\frac xy)-tan^{-1}(\frac {x-y}{x+y})\) is equal to

Draw the number line and represent the following rational numbers on it:
(i) \(\frac{3}{4}\)(ii) \(\frac{-5}{8}\) (iii) \(\frac{-7}{4}\) (iv) \(\frac{7}{8}\)

If the coefficient of x7 in expansion of \((ax- \frac{1}{bx^2})^{13}\) is equal to the coefficient of x-5 in expansion of \((ax + \frac{1}{bx^2})13\), then a4b4 is ______