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.<br/>Find (3 Δ 2) Δ 5

This table below gives the scores of a group of students in a Further Mathematics Test.<br/><table class='tbn'><tbody><tr><td> Score </td><td> 1 </td><td> 2 </td><td> 3 </td><td> 4 </td><td> 5 </td><td> 6 </td><td> 7 </td></tr><tr><td> Frequency </td><td> 4 </td><td> 6 </td><td> 8 </td><td> 4 </td><td> 10 </td><td> 6 </td><td> 2 </td></tr></tbody></table><br/><br/><br/>Find the mode of the distribution.

This table below gives the scores of a group of students in a Further Mathematics Test.<br/><table class='tbn'><tbody><tr><td> Score </td><td> 1 </td><td> 2 </td><td> 3 </td><td> 4 </td><td> 5 </td><td> 6 </td><td> 7 </td></tr><tr><td> Frequency </td><td> 4 </td><td> 6 </td><td> 8 </td><td> 4 </td><td> 10 </td><td> 6 </td><td> 2 </td></tr></tbody></table><br/><br/><br/>Calculate the mean deviation for the distribution

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