Question

Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
[2 marks]

Answer 1

Natural numbers from 102 to 113:

102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113

Total number of Natural numbers from 102 to 113 = 12
[0.5 mark]

Prime numbers from 102 to 113:

103, 107, 109, 113

Total number of prime numbers from 102 to 113 = 4
[0.5 mark]

Hence, fraction of prime numbers from 102 to 113 $=\frac{4}{12}=\frac{1}{3}$
[1 mark]