Question

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Answer 1

7. B

$(1 - 0.2 \div 0.4 + \frac{3}{5} ) \times 10 = 11$

1) $0.2 \div 0.4 = \frac{2}{10} \div \frac{4}{10} = \frac{2}{10} \times \frac{10}{4} = \frac{2 \times 10}{10 \times 4} = \frac{2}{4} = \frac{1}{2}$

2) $1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{2 - 1}{2} = \frac{1}{2}$

3) $\frac{1}{2} + \frac{3}{5} = \frac{1 \times 5}{2 \times 5} + \frac{3 \times 2}{5 \times 2} = \frac{5}{10} + \frac{6}{10} = \frac{5 + 6}{10} = \frac{11}{10}$

4) $\frac{11}{10} \times 10 = \frac{11 \times 10}{10} = \frac{11}{1} = 11$

8. E

$\frac{25 \times 72 \times 77 }{88 \times 50 \times 21} = \frac{(5 \times 5) \times (8 \times 3 \times 3) \times (11 \times 7)}{(11 \times 8) \times (2 \times 5 \times 5) \times (7 \times 3)} = \frac{3}{2}$

9. D

$(10 \frac{2}{3} - 5 \frac{1}{3} ) \div 3 \frac{1}{3 } = (10 + \frac{2}{3} - (5 + \frac{1}{3} )) \div 3 \frac{1}{3} = (10 - 5 + \frac{2}{3} - \frac{1}{3} ) \div 3 \frac{1}{3} = (5 + \frac{2 - 1}{3} ) \div 3 \frac{1}{3} = (5 + \frac{1}{3} ) \div 3 \frac{1}{3} = 5 \frac{1}{3} \div 3 \frac{1}{3} = \frac{16}{3} \div \frac{10}{3} = \frac{16}{3} \times \frac{3}{10} = \frac{16 \times 3}{3 \times 10} = \frac{16}{10} = 1.6$

10.

$\frac{4}{0.04} - \frac{7}{0.07} = \frac{4}{ \frac{4}{100} } - \frac{7}{ \frac{7}{100} } = (4 \div \frac{4}{100} ) - (7 \div \frac{7}{100} ) = (4 \times \frac{100}{4} ) - (7 \times \frac{100}{7} ) = \frac{4 \times 100}{4} - \frac{7 \times 100}{7} = \frac{100}{1} - \frac{100}{1} = 100 - 100 = 0$