Problem solving with arithmetic procedures involving fractions

12 questions

1. Work out the answer to \frac{1}{3}+\frac{2}{5}.
2. Work out the answer to \frac{6}{7}\times\frac{2}{3}.
3. Work out the answer to \frac{2}{9}\div\frac{3}{4}.
4. Match the calculation on the left with the answer on the right.
5. Work out the answer to 1 + \sqrt{\frac{4}{9}}\times \frac{1}{2}.
6. Without using a calculator, work out 2 - \frac{1}{2} + \sqrt{\frac{25}{16}}.
7. A small, rectangular plot of dirt has length \frac{3}{4} metres by \frac{7}{10} metres. Work out the area of the plot of dirt in m^2.
8. Andeep wants to put an edging around a small, rectangular plot of dirt. It has length \frac{3}{4} m by \frac{7}{10} m. Work out the total length of the edging, giving your answer in cm.
9. A plot of land measures 5 {{4} \over {5}} m by 2 {{9} \over {10}} m. It will cost £20 per m^2 to grass this plot of land. Who has correctly worked out the cost?
10. A square picture frame is made from wood with length \frac {4}{5} m. Laura wants to put a metal trim around the picture. The trim cost £1.20 per 10 cm. How much will it cost to trim the frame?
11. A piece of farmland has an area of {{3} \over {5}}\times1 {{2} \over {3}} km^2. One sheep needs 2500 m^2 of land for grazing. How many sheep can live on the farmland?
12. Aisha is restoring some old picture frames. She wants to cover the frame in gold leaf. Gold leaf costs £1 per cm^2. How much will it cost Aisha to gold leaf the picture frame?

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