Fractions: equivalent, mixed numbers and improper – Year 5 maths test to download as PDF

(a) Find the missing number: \(\frac{5}{6}\) = \(\frac{?}{24}\).

(b) Simplify \(\frac{18}{30}\).

(c) Write three fractions equivalent to \(\frac{2}{5}\).

(d) Are \(\frac{3}{4}\) and \(\frac{9}{16}\) equivalent? Explain.

(a) Write \(\frac{23}{5}\) as a mixed number.

(b) Write \(4\frac{2}{3}\) as an improper fraction.

(c) Write \(\frac{15}{4}\) as a mixed number.

(d) Write \(2\frac{5}{8}\) as an improper fraction.

(a) Write < or >: \(\frac{5}{8}\) ☐ \(\frac{3}{4}\).

(b) Put these in order, smallest first: \(\frac{2}{3}\), \(\frac{5}{6}\), \(\frac{7}{12}\).

(c) Which is bigger, \(2\frac{1}{2}\) or \(\frac{7}{3}\)?

(a) Write \(\frac{5}{2}\) as a mixed number.

(b) Between which two whole numbers does \(\frac{11}{4}\) lie?

(c) Write down a fraction that lies between \(1\frac{1}{2}\) and 2.

Four friends share 6 sandwiches at a picnic. Each sandwich is cut into 8 equal pieces. Zoe eats \(\frac{13}{8}\) sandwiches, Omar eats \(\frac{7}{4}\) sandwiches, Pia eats \(1\frac{1}{2}\) sandwiches and Sam eats the rest.

(a) Write \(\frac{13}{8}\) as a mixed number. (1 mark)

(b) Write all four amounts as eighths, and show that Zoe, Omar and Pia eat \(\frac{39}{8}\) sandwiches altogether. (2 marks)

(c) What fraction of a sandwich does Sam eat? (1 mark)

(d) Who eats the most? (1 mark)