1. 1
   A café records the proportion of customers choosing different drink types over a week to help plan stock. On Monday, $\frac{3}{8}$ of customers ordered a hot drink. On Tuesday, 0.6 of customers ordered a cold drink. On Wednesday, 45% of customers ordered a smoothie.

   (a)

   A café tracks how it expresses the fraction of customers who order a hot drink. On Monday, $\frac{3}{8}$ of customers ordered a hot drink. What is $\frac{3}{8}$ written as a decimal?

   [1 mark]

   • A0.375
   • B0.38
   • C0.325
   • D0.83

   (b)

   On Tuesday, 0.6 of customers ordered a cold drink. What is 0.6 written as a percentage?

   [1 mark]

   • A0.6%
   • B6%
   • C16%
   • D60%

   (c)

   On Wednesday, 45% of customers ordered a smoothie. What is 45% written as a fraction in its simplest form?

   [1 mark]

   • A$\frac{45}{100}$
   • B$\frac{4}{5}$
   • C$\frac{9}{20}$
   • D$\frac{9}{50}$

   Total for question 1: 3 marks

2. 2
   A market trader records the price changes of vegetables using recurring decimals and fractions instead of rounded values, to avoid losing accuracy over many transactions.

   (a)

   Convert the recurring decimal $0.\dot{4}\dot{5}$ (where the digits 45 repeat forever) to a fraction in its simplest form. Show your working.

   [2 marks]

   (b)

   Sort the values $0.7$, $\frac{2}{3}$, $71\%$ and $\frac{7}{10}$ into ascending order. Show the value of each as a decimal to justify your ordering.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A charity is reviewing how its total annual donations of £2400 are split between online and cash giving, and wants to convert this into a percentage figure to include in its annual report.

   (a)

   A charity raised $\text{£}2400$ in donations. Of this total, $\frac{5}{8}$ was donated online and the rest was donated in cash. Calculate the amount donated in cash.

   [3 marks]

   (b)

   The charity's target next year is to increase total donations to $\text{£}2400$ plus an extra 15%. Show that the new target, expressed as a percentage of this year's $\text{£}2400$, is 115%, and calculate the actual target amount in pounds.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   An electronics shop is comparing pricing methods for a laptop before, during and after a sale, and needs to work out original prices, sale prices and simple interest on a store credit card used to buy it.

   (a)

   A laptop has a normal price of $\text{£}640$. In a sale, the price is reduced by 20%. Calculate the sale price of the laptop.

   [4 marks]

   (b)

   In a different sale, another laptop was sold for $\text{£}450$ after a 25% reduction from its original price. Calculate the original price of the laptop before the reduction.

   [4 marks]

   (c)

   A customer buys the £600 laptop using a store credit card and pays it off over 2 years at a simple interest rate of 8% per year, charged on the original £600. Show that the total interest paid over the 2 years is greater than 15% of the original price, and state the total amount the customer repays (loan plus interest).

   [5 marks]

   Total for question 4: 13 marks

End of questions