1. 1
   A bakery divides its daily batch of bread rolls between three shops and needs to compare fractions of the batch delivered to each.

   (a)

   Simplify $\frac{36}{48}$ to its lowest terms.

   [1 mark]

   • A$\frac{3}{4}$
   • B$\frac{4}{5}$
   • C$\frac{18}{24}$
   • D$\frac{6}{8}$

   (b)

   The bakery delivers $\frac{3}{4}$ of a batch of 48 rolls to Shop A. How many rolls does Shop A receive?

   [1 mark]

   • A$32$
   • B$36$
   • C$12$
   • D$40$

   (c)

   Which fraction is equivalent to $2\frac{1}{3}$?

   [1 mark]

   • A$\frac{5}{3}$
   • B$\frac{6}{3}$
   • C$\frac{7}{3}$
   • D$\frac{8}{3}$

   Total for question 1: 3 marks

2. 2
   A hiker is tracking the fraction of a long-distance trail she completes each day, splitting her walking into sections before and after lunch.

   (a)

   A hiker walks $\frac{2}{5}$ of a trail before lunch and $\frac{1}{3}$ of the trail after lunch. Calculate what fraction of the trail she has walked in total.

   [2 marks]

   (b)

   What fraction of the trail does the hiker still have left to walk?

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A baker is scaling a cake recipe up and down using fractional quantities of flour, and needs to compare mixed numbers and improper fractions.

   (a)

   A recipe requires $3\frac{1}{5}$ cups of flour to make one large cake. A baker wants to know how many small cakes can be made if each small cake uses $\frac{2}{5}$ of a cup. Calculate $3\frac{1}{5} \div \frac{2}{5}$, giving your answer as a mixed number where appropriate.

   [3 marks]

   (b)

   The baker then wants to make a batch using $2\frac{2}{3}$ times the original recipe. Calculate $2\frac{2}{3} \times 3\frac{1}{5}$, giving your answer as a mixed number.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A charity is tracking the fraction of its fundraising target reached each day over a three-day appeal, and wants to work out both fractions of the target and the total target amount.

   (a)

   A charity raised money over three days. On Monday it raised $\frac{3}{8}$ of its target, on Tuesday it raised $\frac{1}{4}$ of its target, and on Wednesday it raised the rest of its target, which was 900 dollars. Calculate the fraction of the target raised on Wednesday.

   [4 marks]

   (b)

   Given that $\frac{3}{8}$ of the target equals 900 dollars (the amount raised on Wednesday), calculate the total target amount.

   [4 marks]

   (c)

   The charity decides that next year's target will be $1\frac{1}{6}$ times this year's target of 2400 dollars. Calculate next year's target, then calculate what fraction of next year's target the 900 dollars raised on Wednesday this year represents, giving your answer as a fraction in its simplest form.

   [5 marks]

   Total for question 4: 13 marks

End of questions