1. 1
   Four quantities are given: $\frac{7}{20}$, 0.34, 36%, $\frac{11}{25}$.

   (a)

   Which of these four quantities is the largest?

   [1 mark]

   • A$\frac{7}{20}$
   • B0.34
   • C36%
   • D$\frac{11}{25}$

   (b)

   Which of these four quantities is the smallest?

   [1 mark]

   • A$\frac{7}{20}$
   • B0.34
   • C36%
   • D$\frac{11}{25}$

   (c)

   Which symbol correctly compares $\frac{7}{20}$ and 36%?

   [1 mark]

   • A$=$
   • B$>$
   • C$<$
   • D$\geq$

   Total for question 1: 3 marks

2. 2
   A shop compares four prices per litre of paint expressed differently: Brand P costs $\frac{4}{5}$ of the standard price, Brand Q costs 0.72 of the standard price, Brand R costs 78% of the standard price, and Brand S costs the standard price exactly.

   (a)

   Convert all four brand prices to decimals of the standard price, and list the brands in order from cheapest to most expensive.

   [2 marks]

   (b)

   Using the symbol $<$, write a single statement comparing all four decimal values in ascending order.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A warehouse has 2400 items in stock. $\frac{3}{8}$ of the items are electronics, 0.25 of the items are clothing, and the remaining percentage is other goods.

   (a)

   Find the number of electronic items and the number of clothing items in the warehouse.

   [3 marks]

   (b)

   Find the percentage of items that are 'other goods', and hence the number of other-goods items.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   In three different subjects, a student's scores are reported in different formats: Maths score is $\frac{17}{20}$, Science score is 0.78, and English score is 81%.

   (a)

   Convert all three subject scores to percentages, and rank the subjects from lowest to highest score.

   [4 marks]

   (b)

   Find the mean of the three percentage scores, giving your answer to 1 decimal place.

   [4 marks]

   (c)

   The school recalculates using weightings: Maths is weighted double, Science and English weighted single (total weight 4). Find the weighted average percentage, correct to 1 decimal place, and state whether the student qualifies for a merit award requiring at least 80%.

   [5 marks]

   Total for question 4: 13 marks

End of questions