Foundation
16 web questions
- $\frac{1}{2}\div\frac{1}{4}$
- $\frac{3}{4}\div\frac{1}{2}$
- $\frac{2}{3}\div\frac{1}{3}$
- $\frac{5}{6}\div\frac{5}{6}$
- $\frac{3}{5}\div\frac{1}{5}$
- $\frac{7}{8}\div\frac{1}{2}$
- $\frac{4}{9}\div\frac{2}{9}$
- $\frac{5}{12}\div\frac{5}{12}$
- $2\div\frac{1}{2}$
- $3\div\frac{1}{3}$
- $4\div\frac{1}{4}$
- $\frac{1}{2}\div 2$
- $\frac{3}{4}\div 3$
- $\frac{5}{6}\div 5$
- $\frac{2}{5}\div\frac{1}{5}$
- $\frac{9}{10}\div\frac{3}{10}$
Proficient
18 web questions
- $\frac{3}{4}\div\frac{2}{5}$
- $\frac{5}{6}\div\frac{1}{3}$
- $\frac{7}{8}\div\frac{7}{16}$
- $\frac{4}{5}\div\frac{2}{15}$
- $\frac{9}{10}\div\frac{3}{5}$
- $\frac{11}{12}\div\frac{1}{6}$
- $6\div\frac{3}{4}$
- $8\div\frac{2}{3}$
- $\frac{3}{5}\div 6$
- $\frac{7}{9}\div 2$
- Fill in the blank: $\frac{2}{3}\div\frac{\square}{5}=\frac{10}{9}$
- Fill in the blank: $\frac{\square}{4}\div\frac{1}{2}=\frac{3}{2}$
- Is $\frac{3}{4}\div\frac{1}{2}=\frac{3}{8}$ correct?
- Is $5\div\frac{1}{5}=25$ correct?
- Which is greater: $\frac{3}{4}\div\frac{1}{2}$ or $\frac{3}{4}\times\frac{1}{2}$?
- $\frac{5}{14}\div\frac{15}{28}$
- $\frac{13}{15}\div\frac{26}{45}$
- Explain in one short sentence why dividing by $\frac{1}{2}$ makes a positive number larger.
Excellence
16 web questions
- $1\frac{1}{2}\div\frac{3}{4}$
- $2\frac{1}{4}\div\frac{3}{8}$
- $\frac{5}{6}\div\frac{10}{9}$
- $\frac{7}{12}\div\frac{14}{15}$
- A student says $\frac{4}{5}\div\frac{2}{3}=\frac{8}{15}$. Are they correct? Explain.
- A jug is $\frac{3}{4}$ full. Each pour uses $\frac{1}{8}$ of the jug. How many pours is that?
- Find a fraction so that $\frac{2}{3}\div\square=\frac{10}{9}$.
- Fill in both blanks: $\frac{\square}{6}\div\frac{2}{3}=\frac{5}{4}$.
- Which is greater: $\frac{5}{6}\div\frac{1}{3}$ or $\frac{3}{4}\div\frac{1}{2}$? Show enough working to justify.
- Is $\frac{6}{7}\div\frac{3}{14}=4$ correct? Explain.
- A rope is $\frac{5}{6}$ m long. Each piece is $\frac{5}{18}$ m long. How many pieces can be cut?
- Complete: if $\frac{3}{5}\div\frac{m}{2}=\frac{4}{5}$, then $m=@@HTML0@@$.
- Write $3\div\frac{4}{15}$ as a single simplified fraction.
- A recipe needs $\frac{2}{3}$ cup of rice per batch. You have $4\frac{2}{3}$ cups. How many batches can you make?
- Which does not belong: $\frac{1}{2}\div\frac{1}{4}$, $2\div\frac{1}{2}$, $\frac{3}{4}\div\frac{3}{8}$, $\frac{5}{6}\div\frac{5}{6}$?
- Explain why $\frac{4}{9}\div\frac{2}{3}$ can be rewritten as $\frac{4}{9}\times\frac{3}{2}$.