1. 1
   A two-way table shows the favourite subject of 50 students, by gender: of 20 boys, 12 prefer Maths and 8 prefer Science; of 30 girls, 10 prefer Maths and 20 prefer Science.

   (a)

   Find the total number of students who prefer Maths.

   [1 mark]

   • A22
   • B28
   • C12
   • D18

   (b)

   Find the total number of students who prefer Science.

   [1 mark]

   • A22
   • B28
   • C8
   • D20

   (c)

   Find the probability that a randomly selected girl prefers Science.

   [1 mark]

   • A$\frac{10}{30}$
   • B$\frac{1}{3}$
   • C$\frac{20}{50}$
   • D$\frac{2}{3}$

   Total for question 1: 3 marks

2. 2
   A pie chart represents the favourite fruit of 60 people: apples are represented by a sector of angle 90 degrees, bananas by 60 degrees, oranges by 120 degrees, and the remainder are grapes.

   (a)

   Find the number of people who prefer apples.

   [2 marks]

   (b)

   Find the number of people who prefer grapes.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   An ordered stem-and-leaf diagram shows the heights, in cm, of 15 plants (key: 1 | 2 means 12 cm): Stem 1: leaves 2, 5, 5, 8. Stem 2: leaves 1, 3, 4, 4, 6, 9. Stem 3: leaves 1, 3, 5, 8. Stem 4: leaf 1.

   (a)

   Find the median height.

   [3 marks]

   (b)

   Find the range of the heights of the plants.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A school records the number of books read in a term by two classes of 30 students each. Class A: 0 books - 4 students, 1 book - 8 students, 2 books - 10 students, 3 books - 5 students, 4 books - 3 students. Class B: 0 books - 2 students, 1 book - 6 students, 2 books - 9 students, 3 books - 9 students, 4 books - 4 students.

   (a)

   Calculate the mean number of books read for Class A, correct to 2 decimal places.

   [4 marks]

   (b)

   Calculate the mean number of books read for Class B, correct to 2 decimal places.

   [4 marks]

   (c)

   Compare the mean number of books read between Class A and Class B, stating which class read more books on average and by how much. State one limitation of using the mean alone to compare the two classes.

   [5 marks]

   Total for question 4: 13 marks

End of questions