ICSE Class 8 Maths Number Systems Worksheet

Worksheet 2

On Fractions

Calculate your way through the maze from START to FINISH. There is only one path that leads through correct operations with fractions. The first step is shown.

START

The maze contains the following fraction operations arranged in a grid pattern:

Row 1: \(\frac{1}{6} - \frac{1}{6}\) \(\rightarrow\) \(+ \frac{1}{3} - \frac{1}{2}\) | \(\frac{3}{7} + \frac{5}{14}\) | \(+ \frac{1}{3} - \frac{7}{15}\) | \(\frac{2}{5} - \frac{1}{5}\) | \(\times \frac{2}{3} - \frac{1}{5}\) | \(+ \frac{3}{5} - \frac{1}{5}\)

Row 2: \(+ \frac{1}{2} - \frac{1}{3}\) | \(\times \frac{2}{5} - \frac{1}{5}\) | \(+ \frac{1}{2} - \frac{1}{5}\) | \(\times \frac{4}{5} - \frac{2}{5}\) | \(\div \frac{3}{10} - \frac{1}{5}\) | \(\frac{2}{3} - \frac{2}{3}\) | \(+ \frac{3}{2} - 1\)

Row 3: \(\times \frac{2}{5} - \frac{5}{6}\) | \(+ \frac{3}{5} - \frac{1}{3}\) | \(+ \frac{1}{2} - \frac{5}{6}\) | \(\frac{1}{3} - \frac{1}{2}\) | \(\times \frac{3}{5} - \frac{1}{6}\) | \(+ \frac{1}{4} - \frac{1}{12}\) | \(+ \frac{1}{6} - \frac{7}{12}\)

Row 4: \(+ \frac{1}{3} - \frac{1}{6}\) | \(+ \frac{3}{4} - \frac{5}{6}\) | \(+ \frac{3}{5} - \frac{5}{8}\) | \(\frac{1}{10} - \frac{1}{40}\) | \(\times \frac{1}{2} - \frac{1}{8}\) | \(\times \frac{3}{11} - \frac{1}{4}\) | \(+ \frac{3}{5} - \frac{7}{10}\)

Row 5: \(\times \frac{2}{7} - \frac{1}{3}\) | \(+ \frac{1}{3} - \frac{2}{3}\) | \(\frac{1}{5} - \frac{7}{15}\) | \(+ \frac{1}{5} - \frac{1}{2}\) | \(\frac{4}{7} - \frac{5}{28}\) | \(\times \frac{7}{10} - \frac{1}{8}\) | \(+ \frac{1}{8} - \frac{1}{4}\)

Row 6: \(\frac{1}{5} - \frac{2}{3}\) | \(+ \frac{2}{3} - \frac{2}{3}\) | \(\times \frac{5}{14} - \frac{1}{6}\) | \(+ \frac{2}{3} - \frac{1}{4}\) | \(+ \frac{1}{2} - \frac{3}{4}\) | \(+ \frac{1}{4} - \frac{3}{3}\) | \(\times \frac{2}{3} - \frac{1}{6}\)

Row 7: \(\times \frac{3}{4} - \frac{1}{3}\) | \(+ \frac{5}{6} - \frac{2}{3}\) | \(\frac{4}{7} - \frac{9}{14}\) | \(+ \frac{3}{7} - \frac{6}{7}\) | \(\times \frac{1}{7} - \frac{1}{6}\) | \(+ \frac{1}{5} - \frac{4}{15}\) | \(+ \frac{5}{6} - 1\)

FINISH

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