《2025年阳光同学计算小达人六年级数学下册人教版》

1. 口算。（建议4分钟完成）
$0.5 + 0.13 =$ $\frac{3}{5} + \frac{4}{15} =$ $1\div\frac{1}{5} - \frac{1}{5}\div1 =$
$0.64 - 0.4 =$ $\frac{4}{15}\times\frac{25}{24} =$ $\frac{1}{24}\div(\frac{1}{4} - \frac{1}{6}) =$
$2.7\div0.1 =$ $3.6\div\frac{2}{3} =$ $2.4\times1.2\times\frac{2}{9} =$
$39.5\div100 =$ $\frac{1}{7}\times14\frac{7}{12} =$ $\frac{6}{5}\times1\frac{1}{2} - \frac{6}{5} =$
$7.82\times0.02 =$ $\frac{5}{3}\div0.5 =$ $2.7\times\frac{1}{3}\times0.9 =$

答案： 0.63@@$\frac{13}{15}$@@$4\frac{4}{5}$@@0.24@@$\frac{5}{18}$@@$\frac{1}{2}$@@27@@5.4@@0.64@@0.395@@$2\frac{1}{12}$@@$\frac{3}{5}$@@0.1564@@$\frac{10}{3}$@@0.81

2. 解方程。（建议4分钟完成）
$x + \frac{2}{5} = \frac{7}{9}$ $\frac{2}{3}(x - 4.5) = 7$ $0.36\times5 - \frac{3}{4}x = \frac{3}{5}$
$\frac{5}{4}x - \frac{7}{2} = \frac{7}{8}$ $x\div\frac{4}{5}\times\frac{2}{3} = \frac{15}{8}$ $1.5x - 1.2\times\frac{5}{6} = \frac{9}{4}$

答案： $x = \frac{17}{45}$@@$x = 15$@@$x = 1.6$@@$x=\frac{7}{2}$@@$x=\frac{9}{4}$@@$x=\frac{13}{6}$

计算下面各题。
$1 - (\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16})$ $1 - \frac{1}{4} - \frac{1}{8} - \frac{1}{16} - \frac{1}{32} - \frac{1}{64}$

答案： $\frac{1}{16}$@@$\frac{33}{64}$