CBSE Class 10 Mathematics Basic Compartment Question Paper 2024 with Answer Key (Set 3- 430/S/3)

CBSE X Questions

• 1.

  The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
  

  

  • 0
    
  • 1
    
  • 3
    
  • 2
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• 2.

  A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))
  

  

  • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
    
  • \(314\) \(\text{cm}^{2}\)
    
  • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
    
  • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)
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• 3.

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

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• 4.

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

  

  • \(2\pi r^3\)
    
  • \(3\pi r^3\)
    
  • \(5\pi r^3\)
    
  • \(4\pi r^3\)
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• 5.

  Show the formation of ionic compound CaO with electron dot structure.

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• 6.

  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.
  

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