CBSE Class 10 Mathematics Standard Compartment Question Paper 2023 with Answer Key (Set 1- 30/C/1)

CBSE X Questions

• 1.

  The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
  

  View Solution

  ---

• 2.

  A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.
  

  View Solution

  ---

• 3.

  Which structure in a leaf is mainly responsible for gaseous exchange?

  • Xylem
    
  • Stomata
    
  • Phloem
    
  • Cuticle
    
  View Solution

  ---

• 4.

  State two differences between pollination and fertilization.

  View Solution

  ---

• 5.

  Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is
  

  

  • \(2\pi r^3\)
    
  • \(3\pi r^3\)
    
  • \(5\pi r^3\)
    
  • \(4\pi r^3\)
  View Solution

  ---

• 6.

  Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)
  

  View Solution