ALLCBTs

NABTEB Mathematics Past Questions.

Published on Aug 20, 2025 • Education

Introduction.

Hi guys, welcome to today's tutorial. In this lesson, we’ll be working through NABTEB Mathematics past questions. These step-by-step solutions will help you understand key mathematical concepts and improve your exam performance.

Let’s get started with the questions and answers.

Question 1 – Room Dimensions and Diagonal

The first question says: The dimensions of a room are 15 m long, 8 m wide, and 10 m high. Calculate the angle which the diagonal of the room makes with the floor.

Understanding the Question

We are given a rectangular room with:

• Length = 15 m
• Width = 8 m
• Height = 10 m

The question requires us to determine the angle between the diagonal of the cuboid (room) and its base (floor).

Exam Tip

In NABTEB and WAEC Mathematics, 3D geometry questions often involve Pythagoras’ theorem. Always break the problem into 2D sections first, then extend to 3D for clarity.

Watch the full tutorial here: https://www.youtube.com/watch?v=TldXvbtGxFc

Conclusion

This problem illustrates how geometry and trigonometry combine in solving real-life mathematical applications. By practicing questions like these, you will build confidence for NABTEB, WAEC, and JAMB examinations, especially in tackling space geometry and angles.

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Keywords

• NABTEB Mathematics past questions
• WAEC Mathematics tutorial
• JAMB math preparation
• Geometry and trigonometry problems
• Diagonal of a cuboid
• 3D geometry calculations
• Standard math solutions for exams