Skill Check XI: IITJEE foundation math

  1. \frac{2}{5} - \frac{9}{10} \times \frac{4}{7} \div [1\frac{3}{7}-1\frac{3}{4} \times (\frac{4}{7} + \overline{\frac{6}{7}-\frac{2}{3}})]
  2. 3 + [2\frac{5}{6}-\frac{7}{15} \{ 5\frac{1}{2}-(1\frac{5}{6}+2\frac{1}{3}-3\frac{2}{3})\}]
  3. 2\frac{1}{6}-[1\frac{3}{5} + (1\frac{5}{6}+3\frac{1}{2}-2\frac{3}{5})] \times 12 \div [1\frac{2}{3}-\frac{7}{13} \hspace{0.1in} of \hspace{0.1in} (\frac{1}{3}+2\frac{1}{7})]
  4. 3.8 \hspace{0.1in} of \hspace{0.1in} [5.67 -2.2 \hspace{0.1in} of \hspace{0.1in} (4.66 - 1.4 \hspace{0.1in} of \hspace{0.1in} (3.2 - \overline{5.18-3.63})
  5. 1.4 + [1-0.34 \div \{4.5-(4.4 \hspace{0.1in} of \hspace{0.1in} 1.45) -2.6  \hspace{0.1in} of \hspace{0.1in} 1.05 \}]
  6. \frac{6.5^{2} - 3.5^{2}}{1.26^{2}+2 \times 1.26 \times 2.74 +2.74^{2}}
  7. \frac{1.385^{2}-2\times 1.385 \times 0.785 + 0.785^{2}}{3.25^{2}-2.75} \div \frac{1.2}{3.25-2.75}

Regards,

Nalin Pithwa

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