Mathematics Past Questions and Answers

(a) The first term of an Arithmetic Progression (A.P) is 8. The ratio of the 7th term to the 9th term is 5 : 8. Calculate the common difference of the progression.
(b) A sphere of radius 2 cm is of mass 11.2g. Find (i) the volume of the sphere ; (ii) the density of the sphere ; (iii) the mass of a sphere of the same material but with radius 3cm. [Take \(\pi = \frac{22}{7}\)].

Which of the following correctly expresses 48 as a product of prime factors?

Which of the following correctly expresses 48 as a product of prime factors?

Evaluate \((20_{three})^2 - (11_{three})^2\) in base three

Evaluate \(log_{10}5 + log_{10}20\)