Below is a sample question for a Grade 8 student. The question is for a student of typical ability for this grade.

This question requires the student to think logically and have a good grasp of exponents.

The student needs to break down what the question says into parts which they can manage and think about separately.

The student should realize that each of the exponents can be written as a product of two numbers, and vice versa. In this case, the student should first recognize that:

The expression could then be written as: 

which can be simplified to

Recognizing the same pattern for our first step in solving this equation, the student should know that:

The expression is then simplified to:

 which equals 0.

 This logical reasoning is the basis behind all mathematics and here at Forbest Academy we encourage and nurture students’ logical thinking skills.