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 (292)

✍️ 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. A store marks up an item by 40% and then discounts it by 40%. The final price compared to the original is:
16% less

1.4 × 0.6 = 0.84, which is 16% less than the original price.

5. 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.

6. 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.

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