NBT Study Guide 2026

Everything you need to pass the NBT exam in one place: the exam format, every topic to study, real practice questions with explanations, flashcards, and full-length practice tests. Free, no sign-up needed.

📋 NBT Exam Format at a Glance

150
Questions
180 min
Time Limit
50.00%
Passing Score

📚 NBT Topics to Study (277)

✍️ Sample NBT Questions & Answers

1. A circle with equation x² + y² − 6x + 4y − 3 = 0 is reflected across the line y = x. What is the equation of the reflected circle?
x² + y² + 4x − 6y − 3 = 0

Complete the square: (x−3)² + (y+2)² = 16, so centre (3, −2), radius 4. Reflecting across y = x swaps x and y coordinates: new centre is (−2, 3). The reflected circle equation is (x+2)² + (y−3)² = 16. Expanding: x²+4x+4 + y²−6y+9 = 16 → x²+y²+4x−6y−3 = 0. This matches answer A.

2. A cumulative frequency table shows that 48 out of 80 learners scored below 60%. What percentage scored 60% or above?
40%

Scored 60% or above = 80 − 48 = 32; percentage = 32/80 × 100% = 40%.

3. A triangle has angles measuring 30°, 60°, and 90°. What is the measure of the largest angle?
90°

Explanation: In a triangle, the sum of all angles is always 180°. So, 180° - 30° - 60° = 90°.

4. An academic abstract states: 'This paper examines the extent to which socioeconomic factors influence educational outcomes in post-apartheid South Africa.' The author's attitude toward the topic is:
Objective and inquiring — presenting a research focus without personal bias

Passive, neutral language ('examines', 'extent to which') signals an objective, inquiring academic stance without advocating a position.

5. An argument claims: "Smoking should be banned because it is bad for health." Which critical thinking concept is missing to make this a stronger argument?
Empirical evidence supporting the health claim

A strong argument requires empirical evidence — data, studies, or statistics — to substantiate the claim that smoking is bad for health. Unsupported assertions are weak arguments.

6. How should a writer best integrate a direct quotation into a body paragraph?
Introduce the quotation, present it, and then analyze its relevance to the argument

Effective quotation integration uses the 'introduce, quote, analyze' (or 'sandwich') method to show how the evidence supports the argument.

🎯 Free NBT Practice Tests

📖 NBT Guides & Articles

Your NBT Study Path
1. Learn with Flashcards → 2. Drill Practice Tests → 3. Take the Full Exam Simulation
Was this helpful?