Tamil Nadu Board - Class 9

Secondary Mathematics question bank (Mathematics (NTSE Foundation))

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Q1.

Mensuration (Combination of Solids): What is the total volume of the composite solid in 'Set Language (Union, Intersection, Venn Diagrams)'?


(A)
Sum of volumes: e.g., $\text{Cylinder} + \text{Hemisphere} = \pi r^2 h + \frac{2}{3}\pi r^3$ (Set Language (Union, Intersection, Venn Diagrams))
(B)
Surface area only
(C)
Volume cannot be added
(D)
None of these
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Q2.

Statistics & Probability: What is the relationship between standard deviation ($\sigma$) and variance in 'Set Language (Union, Intersection, Venn Diagrams)'?


(A)
$\text{Variance} = \sigma^2$ and Coefficient of Variation $CV = \frac{\sigma}{\bar{x}} \times 100\%$ (Set Language (Union, Intersection, Venn Diagrams))
(B)
Variance equals mean
(C)
No relation
(D)
None of these
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