Mathematics Past Questions and Answers

If \(25^{1 - x} \times 5^{x + 2} \div (\frac{1}{125})^{x} = 625^{-1}\), find the value of x.

A binary operation Δ is defined by a Δ b = a + 3b + 2.
Find (3 Δ 2) Δ 5

This table below gives the scores of a group of students in a Further Mathematics Test.

Score	1	2	3	4	5	6	7
Frequency	4	6	8	4	10	6	2

Find the mode of the distribution.

This table below gives the scores of a group of students in a Further Mathematics Test.

Score	1	2	3	4	5	6	7
Frequency	4	6	8	4	10	6	2

Calculate the mean deviation for the distribution

If the universal set μ = {x : 1 ≤ x ≤ 20} and
A = {y : multiple of 3}
B = |z : odd numbers}
Find A ∩ B