CBSE Class 10 Mathematics Basic Question Paper 2024 (Set 2- 430/3/2) with Answer Key

CBSE X Questions

• 1.

  (a) Why did many Europeans migrate to America after the sixteenth century? Explain. OR (b) How did trade and long distance travel contribute to the spread of diseases during the ancient period? Explain.

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• 2.

  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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• 3.

  Paddy fields require a large amount of water. The pesticides and chemical fertilizers used are washed down into the soil or waterbodies. How do these chemicals reach our bodies? What is this phenomenon known as?

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• 4.

  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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• 5.

  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.
  

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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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