List of top Mathematics Questions

Write five pairs of prime numbers less than 20 whose sum is divisible by 5.
Express each of the following numbers as the sum of three odd primes:
  1. 21
  2. 31
  3. 53
  4. 61
Which of the following numbers are prime?
Give three pairs of prime numbers whose difference is 2.
[Remark : Two prime numbers whose difference is 2 are called twin primes].
What is the greatest prime number between 1 and 10?
Find the cost of fencing a square park of side \(250\) \(m\) at the rate of Rs \(20\) per metre.
Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?
Find the side of the square whose perimeter is 20 m.
Find the perimeter of a regular hexagon with each side measuring 8 m.
Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm.
A rectangular piece of land measures 0.7 km by 0.5 km. Each side is to be fenced with 4 rows of wires. What is the length of the wire needed?
What is the length of the wooden strip required to frame a photograph of length and breadth 32 cm and 21 cm respectively?
Complete the last column of the table
S. No.EquationValueSay, whether the Equation No. is Satisfied. (Yes/ No)
(i)x + 3 = 0x = 3 
(ii)x + 3 = 0x = 0 
(iii)x + 3 = 0x = – 3 
(iv)x – 7 = 1x = 7 
(v)x – 7 = 1x = 8 
(vi)5x = 25x = 0 
(vii)5x = 25x = 5 
(viii)5x = 25x = – 5 
(ix)\(\frac{m}{3}=2\)m = – 6 
(x)\(\frac{m}{3}=2\)m = 0 
(xi)\(\frac{m}{3}=2\)m = 6 
The lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. What is the length of the tape required?
Find the perimeter of each of the following figures :
List of figures
Simplify: 
  1.  \((– 4)^3\) 
  2. \((–3) × (–2)^3\) 
  3.  \((–3)^2 × (–5)^2\) 
  4.  \((–2)^3 × (–10)^3\)
Simplify: 
  1.  \(2 × 10^3\) 
  2.  \(7^ 2 × 2^2\) 
  3.  \(2^ 3 × 5\) 
  4.  \(3 × 4^4\) 
  5.  \(0 × 10^2\) 
  6.  \(5^ 2 × 3^3\) 
  7.  \(2^ 4 × 3^2\) 
  8.  \(3^ 2 × 10^4\)
Express each of the following as product of powers of their prime factors: 
  1.  648 
  2.  405 
  3.  540 
  4.  3,600
Identify the greater number, wherever possible, in each of the following? 
  1. \(4 ^3\) or \(3^4\) 
  2.  \(5 ^3\) or \(3^5\) 
  3.  \(2 ^8\) or \(8^2\) 
  4.  \(100^2\) or \(2^{100}\) 
  5.  \(2 ^{10}\) or \(10^{2}\)
Express the following in exponential form:
  1. 6 × 6 × 6 × 6
  2.  t × t
  3.  b × b × b × b
  4.  5 × 5× 7 × 7 × 7
  5.  2 × 2 × a × a
  6.  a × a × a × c × c × c × c × d
Express each of the following numbers using exponential notation: 
  1.  512 
  2.  343 
  3.  729 
  4.  3125

Find the value of: 

  1.  \(2^6\) 
  2.  \(9 ^3\) 
  3.  \(11^2\) 
  4.  \(5 ^4\)
The diagonals of a rhombus measure \(16\) \(cm\) and \(30\) \(cm\). Find its perimeter.

Find the perimeter of the rectangle whose length is \(40\) \(cm\) and a diagonal is \(41\) \(cm\).

Angles \(Q\) and \(R\) of a \(Δ\) \(PQR\) are \(25°\) and \(65°\). Write which of the following is true: 
  1.  \(PQ^2 + QR^2= RP^2\) 
  2.  \(PQ^2 + RP^2= QR^2\) 
  3.  \(RP^2 + QR^2= PQ^2\)

triangle PQR