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一、直接写出得数。（共 24 分）
$\frac{4}{5} × \frac{1}{5} =$ $1.25 - 1.1 =$ $1.87 + 5.13 =$ $78 × 89 × 0 =$
$0.32 + 3.2 =$ $\frac{2}{3} + \frac{1}{2} =$ $0.68 × 5 =$ $3 ÷ \frac{1}{3} × 3 =$
$10 - 0.86 =$ $9.9 ÷ 0.3 =$ $82\% - 3.5\% =$ $8.4 × 9 + 8.4 =$
$15 ÷ \frac{5}{3} =$ $6 ÷ \frac{24}{25} =$ $1 - 0.7^2 =$ $12 ÷ ( \frac{1}{3} - \frac{1}{4} ) =$
$0.9 × 15\% =$ $0.4^2 - 0.3^2 =$ $3.2 ÷ 16\% =$ $1.32 ÷ 0.25 ÷ 4 =$
$\frac{7}{15} × \frac{5}{21} =$ $\frac{13}{19} × \frac{38}{39} =$ $48\% × \frac{17}{16} =$ $200 × (1 - 40\%) =$
$\frac{4}{5} × \frac{1}{5} =$ $1.25 - 1.1 =$ $1.87 + 5.13 =$ $78 × 89 × 0 =$
$0.32 + 3.2 =$ $\frac{2}{3} + \frac{1}{2} =$ $0.68 × 5 =$ $3 ÷ \frac{1}{3} × 3 =$
$10 - 0.86 =$ $9.9 ÷ 0.3 =$ $82\% - 3.5\% =$ $8.4 × 9 + 8.4 =$
$15 ÷ \frac{5}{3} =$ $6 ÷ \frac{24}{25} =$ $1 - 0.7^2 =$ $12 ÷ ( \frac{1}{3} - \frac{1}{4} ) =$
$0.9 × 15\% =$ $0.4^2 - 0.3^2 =$ $3.2 ÷ 16\% =$ $1.32 ÷ 0.25 ÷ 4 =$
$\frac{7}{15} × \frac{5}{21} =$ $\frac{13}{19} × \frac{38}{39} =$ $48\% × \frac{17}{16} =$ $200 × (1 - 40\%) =$
答案
一 $\frac{4}{25}$ 0.15 7 0 3.52 $\frac{7}{6}$ 3.4 27 9.14 33 0.785 84 9 $\frac{25}{4}$ 0.51 144 0.135 0.07 20 1.32 $\frac{1}{9}$ $\frac{2}{3}$ $\frac{51}{100}$ 120
二、在括号里填合适的数。$($共$ 16 $分$)$
$\frac{1}{2}=\frac{24}{(\quad)}$
$\frac{(\quad)}{5}=\frac{125}{25}$
$\frac{3.6}{(\quad)}=\frac{2}{15}$
$\frac{(\quad)}{0.7}=\frac{5}{3.5}$
$(\quad):\frac{1}{9}=\frac{1}{5}:\frac{1}{3}$
$\frac{1}{8}:\frac{7}{10}=\frac{1}{4}:(\quad)$
$0.8:(\quad)=0.3:15$
$20:1.2=(\quad):1.8$
$\frac{3}{2}:6=6:(\quad)$
$2.8:4.2=(\quad):9.6$
$4\ \mathrm{cm}:(\quad)\mathrm{mm}=80:1$
$(\quad)\mathrm{cm}:45\ \mathrm{m}=1:4500$
$4.8\ \mathrm{dm}:20\ \mathrm{mm}=(\quad):1$
$10\ \mathrm{cm}:5\ \mathrm{km}=1:(\quad)$
$11\ \mathrm{cm}:(\quad)\mathrm{km}=1:500000$
$(\quad)\mathrm{m}:4\ \mathrm{cm}=300:1$
$\frac{1}{2}=\frac{24}{(\quad)}$
$\frac{(\quad)}{5}=\frac{125}{25}$
$\frac{3.6}{(\quad)}=\frac{2}{15}$
$\frac{(\quad)}{0.7}=\frac{5}{3.5}$
$(\quad):\frac{1}{9}=\frac{1}{5}:\frac{1}{3}$
$\frac{1}{8}:\frac{7}{10}=\frac{1}{4}:(\quad)$
$0.8:(\quad)=0.3:15$
$20:1.2=(\quad):1.8$
$\frac{3}{2}:6=6:(\quad)$
$2.8:4.2=(\quad):9.6$
$4\ \mathrm{cm}:(\quad)\mathrm{mm}=80:1$
$(\quad)\mathrm{cm}:45\ \mathrm{m}=1:4500$
$4.8\ \mathrm{dm}:20\ \mathrm{mm}=(\quad):1$
$10\ \mathrm{cm}:5\ \mathrm{km}=1:(\quad)$
$11\ \mathrm{cm}:(\quad)\mathrm{km}=1:500000$
$(\quad)\mathrm{m}:4\ \mathrm{cm}=300:1$
答案
二 48 25 27 1 $\frac{1}{15}$ $\frac{7}{5}$ 40 30 24@@6.4@@0.5 1 24 50000 55 12
解析
二 48 25 27 1 $\frac{1}{15}$ $\frac{7}{5}$ 40 30 24@@6.4@@0.5 1 24 50000 55 12
三、解方程或比例。（共 24 分）
$(9x - 1.5) ÷ 6 = 8$
$\frac{5}{6}x - \frac{4}{5}x = 30$
$6x - 0.18 = 24 × 75\%$
$120:x=5:\dfrac{2}{3}$
$\dfrac{1}{6}:\dfrac{4}{9}=1.5:x$
$x:45\%=150:\dfrac{3}{5}$
$(9x - 1.5) ÷ 6 = 8$
$\frac{5}{6}x - \frac{4}{5}x = 30$
$6x - 0.18 = 24 × 75\%$
$120:x=5:\dfrac{2}{3}$
$\dfrac{1}{6}:\dfrac{4}{9}=1.5:x$
$x:45\%=150:\dfrac{3}{5}$
答案
1. 解方程$(9x - 1.5)÷6 = 8$
解：
$\begin{aligned}(9x - 1.5)÷6&=8\\9x - 1.5&=8×6\\9x - 1.5&=48\\9x&=48 + 1.5\\9x&=49.5\\x&=49.5÷9\\x&=5.5\end{aligned}$
2. 解方程$\frac{5}{6}x-\frac{4}{5}x = 30$
解：
$\begin{aligned}\frac{5}{6}x-\frac{4}{5}x&=30\frac{25}{30}x-\frac{24}{30}x&=30\frac{1}{30}x&=30\\x&=30×30\\x&=900\end{aligned}$
3. 解方程$6x - 0.18 = 24×75\%$
解：
$\begin{aligned}6x - 0.18&=24×0.75\\6x - 0.18&=18\\6x&=18 + 0.18\\6x&=18.18\\x&=18.18÷6\\x&=3.03\end{aligned}$
4. 解比例$120:x = 5:\frac{2}{3}$
解：
$\begin{aligned}5x&=120×\frac{2}{3}\\5x&=80\\x&=80÷5\\x&=16\end{aligned}$
5. 解比例$\frac{1}{6}:\frac{4}{9}=1.5:x$
解：
$\begin{aligned}\frac{1}{6}x&=\frac{4}{9}×1.5\frac{1}{6}x&=\frac{4}{9}×\frac{3}{2}\frac{1}{6}x&=\frac{2}{3}\\x&=\frac{2}{3}÷\frac{1}{6}\\x&=\frac{2}{3}×6\\x&=4\end{aligned}$
6. 解比例$x:45\%=150:\frac{3}{5}$
解：
$\begin{aligned}\frac{3}{5}x&=150×45\%\frac{3}{5}x&=150×0.45\frac{3}{5}x&=67.5\\x&=67.5÷\frac{3}{5}\\x&=67.5×\frac{5}{3}\\x&=112.5\end{aligned}$
综上，答案依次为$x = 5.5$；$x = 900$；$x = 3.03$；$x = 16$；$x = 4$；$x = 112.5$。
解：
$\begin{aligned}(9x - 1.5)÷6&=8\\9x - 1.5&=8×6\\9x - 1.5&=48\\9x&=48 + 1.5\\9x&=49.5\\x&=49.5÷9\\x&=5.5\end{aligned}$
2. 解方程$\frac{5}{6}x-\frac{4}{5}x = 30$
解：
$\begin{aligned}\frac{5}{6}x-\frac{4}{5}x&=30\frac{25}{30}x-\frac{24}{30}x&=30\frac{1}{30}x&=30\\x&=30×30\\x&=900\end{aligned}$
3. 解方程$6x - 0.18 = 24×75\%$
解：
$\begin{aligned}6x - 0.18&=24×0.75\\6x - 0.18&=18\\6x&=18 + 0.18\\6x&=18.18\\x&=18.18÷6\\x&=3.03\end{aligned}$
4. 解比例$120:x = 5:\frac{2}{3}$
解：
$\begin{aligned}5x&=120×\frac{2}{3}\\5x&=80\\x&=80÷5\\x&=16\end{aligned}$
5. 解比例$\frac{1}{6}:\frac{4}{9}=1.5:x$
解：
$\begin{aligned}\frac{1}{6}x&=\frac{4}{9}×1.5\frac{1}{6}x&=\frac{4}{9}×\frac{3}{2}\frac{1}{6}x&=\frac{2}{3}\\x&=\frac{2}{3}÷\frac{1}{6}\\x&=\frac{2}{3}×6\\x&=4\end{aligned}$
6. 解比例$x:45\%=150:\frac{3}{5}$
解：
$\begin{aligned}\frac{3}{5}x&=150×45\%\frac{3}{5}x&=150×0.45\frac{3}{5}x&=67.5\\x&=67.5÷\frac{3}{5}\\x&=67.5×\frac{5}{3}\\x&=112.5\end{aligned}$
综上，答案依次为$x = 5.5$；$x = 900$；$x = 3.03$；$x = 16$；$x = 4$；$x = 112.5$。
