If you are among those looking for JAMB Mathematics Questions and Answers, this page got you covered. Make sure you have the recommended material for effective JAMB performance. With this math CBT material, candidates can score up to 300+ in JAMB.

JAMB Mathematics Preparation goes beyond just memorizing formulas. Candidates must also be able to explain the mathematical concept(s) they have learned, understand the question, calculate correctly and manage their time to answer as many questions as possible within the stipulated time in a CBT exam.

This guide has 40 original JAMB-style Mathematics practice questions and answers with full explanation, an insight into the Mathematics syllabus for JAMB, how to study for the exam, the mistakes to avoid and most importantly, how to confirm whether study materials online are relevant for JAMB or not.

Important: All the questions in this study material were independently created by the publisher for practice by JAMB candidates. They are NOT leaked questions, NOT predictions of future JAMB exams, nor are they part of JAMB official past questions/exams. JAMB is the sole arbiter of the content of its UTME exams.

JAMB Mathematics at a Glance

Mathematics is one of the approved UTME subjects. Whether a candidate should choose Mathematics depends on the requirements of the course and institution they are applying to. Candidates should therefore check the current JAMB Integrated Brochure and Syllabus System (IBASS) and the requirements for their intended programme rather than assuming that Mathematics is required for every course.

The official JAMB Mathematics syllabus is organised into five broad areas:

1. Number and Numeration
2. Algebra
3. Geometry and Trigonometry
4. Calculus
5. Statistics

The syllabus aims to assess computational ability, logical and formal reasoning, interpretation of mathematical information, and the application of Mathematics to practical situations.

Official JAMB Mathematics Syllabus and Requirements

The safest source for current JAMB subject information is the JAMB official website, which provides access to the Board’s Integrated Brochure and Syllabus System (IBASS).

Candidates should use official JAMB resources to confirm:

• Whether Mathematics is appropriate for their chosen course
• Current UTME subject requirements
• Relevant syllabus topics and objectives
• Institution-specific admission requirements

Main Areas Covered in JAMB Mathematics

Number and Numeration

This area includes topics such as:

• Number bases
• Fractions and decimals
• Approximations and percentages
• Ratio, proportion and rates
• Simple interest, profit and loss
• Indices and logarithms
• Surds and standard form
• Sets

Algebra

Important areas include:

• Algebraic expressions
• Equations and inequalities
• Sequences and series
• Binary operations
• Matrices and determinants
• Quadratic equations
• Functions and graphs

Geometry and Trigonometry

Candidates may study:

• Lines and angles
• Polygons and circles
• Mensuration
• Coordinate geometry
• Trigonometric ratios
• Bearings and related applications

Calculus

This section introduces candidates to concepts such as:

• Differentiation
• Rates of change
• Integration and simple applications

Statistics

Candidates should be familiar with:

• Data presentation
• Mean, median and mode
• Range and measures of dispersion
• Probability and related statistical interpretation

The detailed objectives should always be checked against the current JAMB syllabus rather than relying solely on summaries from third-party websites.

JAMB Mathematics Objectives Questions and Answers

Number and Numeration Questions

Question 1

Evaluate:

3/4 + 2/5

Answer: 23/20 or 1 3/20

Explanation:
Find the LCM of 4 and 5, which is 20:

3/4 = 15/20

2/5 = 8/20

Therefore:

15/20 + 8/20 = 23/20

Question 2

Express 0.375 as a fraction in its simplest form.

Answer: 3/8

Explanation:

0.375 = 375/1000

Divide both numerator and denominator by 125:

375 ÷ 125 = 3

1000 ÷ 125 = 8

Therefore, 0.375 = 3/8.

Question 3

A trader bought an item for ₦8,000 and sold it for ₦9,200. Find the percentage profit.

Answer: 15%

Explanation:

Profit = ₦9,200 − ₦8,000 = ₦1,200

Percentage profit = (1,200 / 8,000) × 100%

= 15%

Question 4

Calculate the simple interest on ₦50,000 at 8% per annum for 3 years.

Answer: ₦12,000

Explanation:

Simple Interest = (P × R × T) / 100

= (50,000 × 8 × 3) / 100

= ₦12,000

Question 5

Convert 101101₂ to base 10.

Answer: 45₁₀

Explanation:

101101₂ = (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰)

= 32 + 8 + 4 + 1

= 45

Question 6

Evaluate √144 + √81.

Answer: 21

Explanation:

√144 = 12

√81 = 9

Therefore:

12 + 9 = 21

Question 7

Evaluate 2³ × 2⁴.

Answer: 128

Explanation:

When multiplying powers with the same base, add the indices:

2³ × 2⁴ = 2⁷ = 128

Question 8

Write 0.00056 in standard form.

Answer: 5.6 × 10⁻⁴

Explanation:

Move the decimal point four places to the right to get 5.6. Therefore the power of 10 is −4.

Algebra Questions

Question 9

Simplify:

5x + 3x − 4

Answer: 8x − 4

Explanation:

5x and 3x are like terms:

5x + 3x = 8x

Therefore, the simplified expression is 8x − 4.

Question 10

Solve:

3x + 7 = 22

Answer: x = 5

Explanation:

3x = 22 − 7

3x = 15

x = 15 ÷ 3 = 5

Question 11

Solve:

x² − 9 = 0

Answer: x = 3 or x = −3

Explanation:

x² = 9

Taking both square roots gives:

x = ±3

Question 12

Factorise:

x² + 5x + 6

Answer: (x + 2)(x + 3)

Explanation:

Find two numbers whose product is 6 and whose sum is 5. The numbers are 2 and 3.

Therefore:

x² + 5x + 6 = (x + 2)(x + 3)

Question 13

If f(x) = 2x + 1, find f(4).

Answer: 9

Explanation:

Substitute x = 4:

f(4) = 2(4) + 1

= 8 + 1

= 9

Question 14

Find the next term in the sequence:

4, 7, 10, 13, …

Answer: 16

Explanation:

The common difference is:

7 − 4 = 3

Therefore:

13 + 3 = 16

Question 15

Solve the inequality:

2x − 3 > 7

Answer: x > 5

Explanation:

2x > 10

Divide both sides by 2:

x > 5

Question 16

Find the determinant of:

| 3 2 | | 1 4 |

Answer: 10

Explanation:

Determinant = (3 × 4) − (2 × 1)

= 12 − 2

= 10

Geometry and Mensuration Questions

Question 17

Find the sum of the interior angles of a hexagon.

Answer: 720°

Explanation:

Sum of interior angles = (n − 2) × 180°

For a hexagon, n = 6:

(6 − 2) × 180° = 4 × 180° = 720°

Question 18

A triangle has angles 45° and 65°. Find the third angle.

Answer: 70°

Explanation:

The sum of angles in a triangle is 180°:

Third angle = 180° − (45° + 65°)

= 70°

RECOMMENDED: JAMB Questions and Answers for all Subjects 

Question 19

Find the area of a rectangle with length 12 cm and width 7 cm.

Answer: 84 cm²

Explanation:

Area = length × width

= 12 × 7

= 84 cm²

Question 20

Find the circumference of a circle of radius 7 cm. Use π = 22/7.

Answer: 44 cm

Explanation:

Circumference = 2πr

= 2 × 22/7 × 7

= 44 cm

Question 21

Find the volume of a cube with side 5 cm.

Answer: 125 cm³

Explanation:

Volume = side³

= 5 × 5 × 5

= 125 cm³

Question 22

A straight line forms an angle of 118° with another line. Find the adjacent angle.

Answer: 62°

Explanation:

Angles on a straight line add up to 180°:

180° − 118° = 62°

Trigonometry Questions

Question 23

Find sin 30°.

Answer: 1/2

Explanation:

This is a standard trigonometric value:

sin 30° = 1/2

Question 24

Find cos 60°.

Answer: 1/2

Explanation:

cos 60° = 1/2

Question 25

If tan θ = 3/4 and θ is acute, find the opposite side when the adjacent side is 8 cm.

Answer: 6 cm

Explanation:

tan θ = opposite / adjacent

3/4 = opposite / 8

Opposite = (3 × 8) / 4 = 6 cm

Question 26

A ladder is 10 m long and makes an angle of 30° with the ground. Find its vertical height.

Answer: 5 m

Explanation:

Height = 10 × sin 30°

= 10 × 1/2

= 5 m

Coordinate Geometry Questions

Question 27

Find the gradient of the line joining (2, 3) and (6, 11).

Answer: 2

Explanation:

Gradient = (y₂ − y₁) / (x₂ − x₁)

= (11 − 3) / (6 − 2)

= 8/4 = 2

Question 28

Find the midpoint of the line joining (2, 4) and (6, 8).

Answer: (4, 6)

Explanation:

Midpoint = ((2 + 6)/2, (4 + 8)/2)

= (4, 6)

Question 29

Find the distance between (0, 0) and (3, 4).

Answer: 5 units

Explanation:

Distance = √[(3 − 0)² + (4 − 0)²]

= √(9 + 16) = √25

= 5

Calculus Questions

Question 30

Differentiate:

y = 4x³

Answer: dy/dx = 12x²

Explanation:

Using the power rule:

d/dx (xⁿ) = nxⁿ⁻¹

Therefore:

d/dx (4x³) = 12x²

Question 31

Differentiate:

y = 5x² − 3x + 7

Answer: 10x − 3

Explanation:

Differentiate each term:

Let’s begin, d/dx (5x²) = 10x

d/dx (−3x) = −3

d/dx (7) = 0

Therefore, dy/dx = 10x − 3.

Question 32

Evaluate:

∫ 6x dx

Answer: 3x² + C

Explanation:

The integral of x is x²/2:

∫ 6x dx = 6 × x²/2 + C

= 3x² + C

Question 33

Find the gradient of y = x² at x = 3.

Answer: 6

Explanation:

dy/dx = 2x

At x = 3:

2 × 3 = 6

Statistics and Probability Questions

Question 34

Find the mean of 4, 6, 8, 10 and 12.

Answer: 8

Explanation:

Mean = (4 + 6 + 8 + 10 + 12) / 5

= 40/5

= 8

Question 35

Find the median of 3, 5, 7, 9, 11.

Answer: 7

Explanation:

The numbers are already arranged in ascending order. The middle value is 7.

Question 36

Find the mode of 2, 3, 3, 4, 5, 3, 6.

Answer: 3

Explanation:

The mode is the value that occurs most frequently. 3 occurs three times.

Question 37

A fair coin is tossed once. What is the probability of getting a head?

Answer: 1/2

Explanation:

There are two equally likely outcomes: Head and Tail.

Probability of Head = 1/2.

Question 38

A bag contains 5 red balls and 3 blue balls. Find the probability of selecting a blue ball.

Answer: 3/8

Explanation:

Total balls = 5 + 3 = 8

Blue balls = 3

Probability = 3/8

Question 39

Find the range of 6, 9, 12, 15 and 20.

Answer: 14

Explanation:

Range = highest value − lowest value

= 20 − 6

= 14

Question 40

A student scored 70, 65, 80 and 85 in four tests. Find the average score.

Answer: 75

Explanation:

Average = (70 + 65 + 80 + 85) / 4

= 300/4

= 75

How to Use These JAMB Mathematics Questions Effectively

Do not simply read the answers. A more effective approach is to:

1. Cover the answer before attempting each question.
2. Solve the question independently.
3. Compare your method with the explanation.
4. Identify the topic behind every mistake.
5. Practise similar questions until you understand the method.

The goal is not to memorise these 40 questions. The goal is to develop the ability to solve unfamiliar questions based on the same mathematical principles.

Additional JAMB Mathematics Practice Questions

Try these questions without checking the answers immediately.

Practice Question 1

Simplify:

7/12 − 1/3

Practice Question 2

Solve:

5x − 9 = 16

Practice Question 3

Find the area of a circle with radius 14 cm. Use π = 22/7.

Practice Question 4

If the mean of 5, 7, x and 10 is 8, find x.

Practice Question 5

Differentiate:

y = 3x² + 4x

Answers to the Additional Practice Questions

1. 1/4
2. x = 5
3. 616 cm²
4. x = 10
5. 6x + 4

Common Mistakes Candidates Make in JAMB Mathematics

1. Rushing Through Questions

Many errors occur because candidates misread words such as not, difference, percentage increase, or approximately.

How to Avoid It

Read the question carefully before calculating. Identify exactly what the question asks for.

2. Forgetting Mathematical Signs

A negative sign can completely change an answer. Similarly, confusing ÷ with × can lead to an incorrect solution.

How to Avoid It

Write each step clearly and check signs before selecting an answer.

3. Using the Wrong Formula

Memorising formulas without understanding when they apply can cause confusion.

How to Avoid It

Learn what each formula means and practise identifying situations where it should be used.

4. Ignoring Units

Area, volume, distance and other measurements may require appropriate units.

How to Avoid It

Pay attention to whether the question asks for cm, cm², cm³, metres, degrees, or another unit.

3. Spending Too Long on One Difficult Question

In a timed examination, remaining on one difficult question for too long can reduce the time available for easier questions.

How to Avoid It

Answer questions you can solve confidently, flag difficult ones where the examination interface allows, and return to them if time remains.

How to Prepare for JAMB Mathematics

1. Study the Syllabus First

Use the official JAMB syllabus as your study map. Do not rely on social media claims about “guaranteed topics.” The official JAMB platform provides access to IBASS for checking syllabus and admission information.

2. Build Strong Foundations

Before attempting advanced questions, understand:

• Fractions and percentages
• Algebraic manipulation
• Equations
• Basic geometry
• Graph interpretation
• Statistics and probability

Weak foundations can make more advanced questions unnecessarily difficult.

3. Practise Regularly

Mathematics improves through active problem-solving. Set aside regular study periods and practise questions from different syllabus areas.

4. Review Your Mistakes

Keep a simple record of mistakes. For example:

• Formula forgotten
• Question misread
• Calculation error
• Topic not understood

This helps you focus on the real cause of poor performance.

5. Practise Under Timed Conditions

Occasionally practise a set of questions under time limits. This can help you become comfortable making decisions and calculations without unnecessary delays.

6. Use Reliable Study Materials

Prefer:

• Official JAMB resources
• Reputable textbooks aligned with the syllabus
• Materials that clearly distinguish past questions from original practice questions

Be cautious of websites or individuals claiming to sell leaked JAMB questions or guaranteed answers.

How to Verify JAMB Mathematics Questions and Answers

Not every question labelled “JAMB question” online is an official past question. Use these checks before trusting a resource.

Check the Source

Ask:

• Who published the material?
• Is it an official JAMB resource or an independent educational platform?
• Does the source identify where the question came from?

Compare With the Official Syllabus

A useful practice question should test concepts relevant to the syllabus. However, syllabus relevance alone does not prove that a question appeared in a previous JAMB examination.

Verify the Mathematics Independently

For calculation questions:

1. Work through the solution yourself.
2. Check each mathematical step.
3. Compare with another reliable educational source where necessary.

Be Careful With Claims About Leaked Questions

JAMB candidates should not rely on alleged leaked examination questions. Such claims are unreliable and may expose candidates to scams or misinformation.

Frequently Asked Questions About JAMB Mathematics Questions and Answers

Is Mathematics compulsory in JAMB?

Note: UTME subject requirements for candidates vary based on course. Verify your subject combination for admission from JAMB’s official Integrated Brochure and Syllabus System (IBASS) as well as from the UTME and O’level requirements for your desired course from your preferred institution(s).

Does JAMB provide a Mathematics syllabus?

The Integrated Brochure and Syllabus System (IBASS) of JAMB is available on line in the institution’s website for the information of all stakeholders. Candidates are advised to access the current Brochure and Syllabus for the examination as well as for admission.

What topics should I study for JAMB Mathematics?

Therefore candidates should study based on current official syllabus of JAMB for UTME. Number and Numeration, Algebra, Geometry and Trigonometry, Calculus and Statistics are some of the areas covered in mathematics syllabus for UTME.

How can I improve in JAMB Mathematics?

Focusing on being able to explain answers with understanding, and consistently practicing past questions are key steps to improve in JAMB Mathematics, and you must identify your mistakes and go back to revise your weak areas.

Should I memorise formulas?

It is important to understand how to use the formulas. Memorizing just the formulas without knowing when to use them is not helpful.

Can I rely on “sure questions” for JAMB Mathematics?

No source can honestly guarantee you ‘sure questions’ for JAMB Examination. So rely on credible study materials and JAMB Official Syllabus instead.

Final Preparation Checklist for JAMB Mathematics

Before your examination, make sure you can:

• Work confidently with fractions, percentages and ratios
• Solve linear and quadratic equations
• Simplify algebraic expressions
• Handle indices, logarithms and surds
• Apply geometry and mensuration formulas
• Solve basic trigonometry problems
• Interpret coordinates and graphs
• Understand introductory differentiation and integration
• Calculate mean, median, mode and probability
• Work carefully under timed conditions

Conclusion

JAMB Maths can be easily prepared by candidates who go through the Official Syllabus and practice adequately while reviewing their mistakes. The trick is to understand each concept first and practice applying them to various questions.

The practice questions in this study guide are just a start for practicing all of the topics on the JAMB syllabus. Check out more study questions for JAMB Mathematics and also verify your admissons and the examination itself on the official Joint Admissions and Matriculation Board (JAMB) website.

Disclaimer

This educational material is written and published by this web site. It consists of forty questions and their respective answers and explanations. These questions are original material for practice and NOT JAMB questions whether past, current or in the future UTME examination.

JAMB may change its examinations, admission policies, registration processes etc. so readers must always check the current information from the Joint Admissions and Matriculation Board (JAMB) website or Integrated Brochure and Syllabus System for current admission and examination requirements as contained in the current JAMB brochure – example 2026 JAMB Bulletin.

Similar Updates

• JAMB Chemistry Questions and Answers 
• JAMB Questions and Answers for all Courses
• JAMB Government Questions and Answers
• JAMB Literature in English Questions and Answers
• JAMB Use of English Questions and Answers
• JAMB Subject Combination for law 
• JAMB Registration Form
• JAMB e-facility Portal 
• JAMB CAPS: how to Accept or Reject Admission 
• How to Check JAMB Result
• How to Retrieve JAMB Email address
• How to link Email address to JAMB profile
• JAMB Exams Starting Date
• JAMB Recommended Textbooks for all Subjects
• JAMB Subject Combination for all Courses