Finding fractions of a quantity

Find each fraction of the quantity.

All objectives

Foundation

16 web questions

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  1. $\frac{1}{2}$ of $10$
  2. $\frac{1}{2}$ of $18$
  3. $\frac{1}{3}$ of $12$
  4. $\frac{1}{3}$ of $21$
  5. $\frac{1}{4}$ of $16$
  6. $\frac{1}{4}$ of $28$
  7. $\frac{3}{4}$ of $20$
  8. $\frac{3}{4}$ of $32$
  9. $\frac{2}{3}$ of $15$
  10. $\frac{2}{3}$ of $24$
  11. $\frac{3}{5}$ of $25$
  12. $\frac{4}{5}$ of $30$
  13. $\frac{5}{6}$ of $24$
  14. $\frac{2}{5}$ of $35$
  15. $\frac{3}{8}$ of $16$
  16. $\frac{5}{8}$ of $24$

Proficient

18 web questions

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  1. $\frac{2}{7}$ of $35$
  2. $\frac{5}{6}$ of $42$
  3. $\frac{3}{10}$ of $80$
  4. $\frac{7}{8}$ of $48$
  5. $\frac{4}{9}$ of $72$
  6. $\frac{5}{12}$ of $84$
  7. $\frac{11}{20}$ of $100$
  8. $\frac{3}{5}$ of $45$
  9. $\frac{7}{12}$ of $60$
  10. $\frac{9}{10}$ of $70$
  11. Fill in the blank: $\frac{1}{4}$ of $\square$ is $9$.
  12. Fill in the blank: $\frac{3}{5}$ of $\square$ is $24$.
  13. Is $\frac{2}{3}$ of $18$ equal to $6$?
  14. Is $\frac{3}{4}$ of $28$ equal to $21$?
  15. Which is greater: $\frac{2}{5}$ of $40$ or $\frac{3}{10}$ of $40$?
  16. A class has $30$ students. $\frac{2}{5}$ are absent. How many students are absent?
  17. A rope is $36$ m long. $\frac{3}{4}$ of it is used. How many metres are used?
  18. Explain in one short sentence what the word of means in $\frac{3}{5}$ of $20$.

Excellence

16 web questions

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  1. A student says $\frac{3}{4}$ of $20$ is $80$. Are they correct? Explain.
  2. A student says $\frac{2}{3}$ of $27$ is found by doing $27\times2\times3$. Are they correct? Explain.
  3. Fill in the blank: $\frac{5}{8}$ of $\square$ is $25$.
  4. Fill in the blank: $\frac{7}{9}$ of $\square$ is $35$.
  5. Which is greater: $\frac{3}{5}$ of $50$ or $\frac{2}{3}$ of $45$? Show enough working to justify.
  6. Which is smaller: $\frac{5}{6}$ of $24$ or $\frac{3}{4}$ of $28$?
  7. A tank holds $60$ L. It is $\frac{7}{10}$ full. How many litres of water are in the tank?
  8. A team played $32$ games and won $\frac{3}{8}$ of them. How many games did they win?
  9. A baker made $48$ muffins. $\frac{5}{12}$ were chocolate. How many were chocolate?
  10. Complete: if $\frac{m}{5}$ of $35$ is $21$, then $m=@@HTML0@@$.
  11. Complete: if $\frac{3}{n}$ of $40$ is $24$, then $n=@@HTML0@@$.
  12. Is $\frac{4}{7}$ of $63=28$ correct? Explain what went wrong or why it works.
  13. A strip is $54$ cm long. Mina cuts off $\frac{2}{9}$ of it. How many centimetres does she cut off?
  14. A jar has $45$ lollies. $\frac{4}{9}$ are red. How many red lollies are there?
  15. Which does not belong: $\frac{1}{2}$ of $18$, $\frac{2}{4}$ of $18$, $\frac{3}{6}$ of $18$, $\frac{2}{3}$ of $18$?
  16. Explain why finding $\frac{3}{4}$ of $28$ can be done by dividing by $4$ first, then multiplying by $3$.