1. 1
   Amir is organising his monthly household accounts. He records the following in his ledger: an income of £1,850, a debit of £420 for rent, and a credit of £75 refunded from a returned item.

   (a)

   (a) What is Amir's balance after these three entries?

   [1 mark]

   • A£1,505
   • B£1,355
   • C£2,345
   • D£2,195

   (b)

   Amir also needs to order the numbers $-3.2$, $-3$, $\frac{7}{2}$ and $2.9$ from smallest to largest so he can plot his monthly balance changes.
   
   (b) Which list shows these numbers correctly ordered from smallest to largest?

   [1 mark]

   • A$\frac{7}{2}, 2.9, -3, -3.2$
   • B$-3, -3.2, 2.9, \frac{7}{2}$
   • C$-3.2, -3, 2.9, \frac{7}{2}$
   • D$-3.2, 2.9, -3, \frac{7}{2}$

   (c)

   Amir wants to check a calculation using the correct order of operations: $6 + 2 \times (5 - 3)^2$.
   
   (c) What is the value of this expression?

   [1 mark]

   • A32
   • B22
   • C64
   • D14

   Total for question 1: 3 marks

2. 2
   A warehouse stores boxes of two sizes. Type X boxes weigh $2\frac{3}{4}$ kg each and Type Y boxes weigh $1\frac{1}{2}$ kg each. A pallet holds 8 Type X boxes and 12 Type Y boxes.

   (a)

   (a) Calculate the total weight of the boxes on one pallet, giving your answer as a mixed number in its simplest form.

   [2 marks]

   (b)

   (b) A forklift can safely carry a maximum load of $37\frac{1}{2}$ kg. Show that one full pallet of boxes exceeds this limit, and state by how much.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A number, $n$, is a positive integer. Priya claims that $n^2 - n$ is always an even number for any positive integer $n$.

   (a)

   (a) Show that Priya's claim is true for $n = 4$ and $n = 5$.

   [3 marks]

   (b)

   (b) Prove that $n^2 - n$ is always even for any positive integer $n$, using the fact that $n^2 - n = n(n-1)$.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A café's till roll shows the day's transactions. In the morning session, total sales were $£342.60$ and total refunds were $£18.90$. In the afternoon session, total sales were $£478.35$ and total refunds were $£27.45$.

   (a)

   (a) Calculate the café's net takings (sales minus refunds) for the whole day.

   [4 marks]

   (b)

   (b) The café owner sets aside $15\%$ of the day's net takings to cover ingredient costs. Calculate the amount set aside, correct to the nearest penny.

   [4 marks]

   (c)

   (c) After setting aside the ingredient cost from part (b), the owner splits the remaining money in the ratio $3:2$ between wages and profit. Calculate the amount allocated to profit.

   [5 marks]

   Total for question 4: 13 marks

End of questions