JAMB Mathematics Past Questions and Answers

Introduction

Preparing for the Joint Admissions and Matriculation Board (JAMB) examination is a crucial step for every Nigerian student aspiring to gain admission into tertiary institutions. As a key gateway to universities, polytechnics, and colleges of education across Nigeria, JAMB tests your knowledge in core subjects like Mathematics, Use of English, and others relevant to your chosen course. At Manny Spark, we understand the challenges Nigerian students face in accessing reliable study materials. That’s why we’re dedicated to providing high-quality past questions and answers PDFs to help you excel.

Manny Spark is a leading educational brand based in Benin City, Edo State, Nigeria – home to the University of Benin (UNIBEN), where our founder, Manny, is a 500-level Radiography student. We specialize in exam preparation resources tailored for Nigerian exams. Beyond JAMB Mathematics past questions, we offer comprehensive PDFs for various exams, including the Nursing and Midwifery Council of Nigeria (NMCN) exams, Nigeria Immigration Service recruitment tests, Nigerian Airforce exams, UBTH School of Nursing entrance exams, and more. Our materials are designed to empower students with the tools they need for success, all from our central hub in Nigeria’s vibrant educational landscape.

In this educational guide, we’ll dive into JAMB Mathematics past questions, provide free samples, and extend to other subjects to give you a well-rounded preparation strategy. Remember, as Albert Einstein once said, “Education is not the learning of facts, but the training of the mind to think.” Let’s train your mind with practical examples and insights.

What is JAMB and Why Past Questions Matter

The Joint Admissions and Matriculation Board (JAMB) is Nigeria’s official body responsible for conducting the Unified Tertiary Matriculation Examination (UTME). Established in 1978, JAMB ensures fair admission processes for over a million Nigerian students annually. The exam covers four subjects, with Use of English compulsory and Mathematics often required for science, engineering, and social science courses.

Why use past questions? They reveal patterns in question styles, help identify weak areas, and build confidence. According to educational experts, students who practice with past questions score 20-30% higher on average. In Nigeria’s competitive education system, where admission cut-offs can reach 200-250 marks, mastering these is essential. At Manny Spark, our PDFs compile questions from 1978 to 2024, updated for 2025 trends.

For more on JAMB’s history and guidelines, visit the official site: JAMB Official Website.

Overview of JAMB Mathematics Syllabus

JAMB Mathematics covers topics like algebra, geometry, trigonometry, statistics, and calculus. Here’s a quick table summarizing key areas:

This structure helps Nigerian students focus on high-yield areas. Boldly prioritize geometry, as it often features in tricky questions.

Free JAMB Mathematics Past Questions Samples

Here are detailed samples from past JAMB Mathematics exams. These are drawn from reliable sources to give you a taste of what to expect. Practice them to sharpen your skills.

1. Question [1999]: A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group? Options: A. 25 B. 19 C. 18 D. 17 Answer: A. Explanation: Use Venn diagram: Total = (only yam) + (only plantain) + (only maize) + intersections = 25.
2. Question [1999]: If log₁₀8 = X, evaluate log₁₀5 in terms of X. Options: A. ½X B. X – ¼ C. X – ⅓ D. X – ½ Answer: B. Explanation: Log properties: log₅ = log(10/2) = 1 – log₂, relate to log₈ = 3log₂.
3. Question [1999]: Find the value of X if √2 / (x + √2) = 1 / (x – √2). Options: A. 3√2 + 4 B. 3√2 – 4 C. 3 – 2√2 D. 4 + 2√2 Answer: D. Explanation: Cross-multiply and solve quadratic.
4. Question [1999]: If (a² b⁻³ c)³/⁴ / (a⁻¹ b⁴ c⁵) = aᵖ bᵍ cʳ, what is the value of p + 2q? Options: A. 5/2 B. -5/4 C. -25/4 D. -10 Answer: C. Explanation: Simplify exponents: p = 2*(3/4) +1 = 5/2, etc.

[Insert Image: Solved JAMB Math Question Example]

For more Math samples, check our internal page: JAMB Algebra Tips.

JAMB Use of English Past Questions Samples

Use of English is mandatory. Here’s a selection:

1. Question [1978]: In the match against the uplanders team, the sub mariners turned out to be the dark horse. Options: A. played most brilliantly B. played below their usual form C. won unexpectedly D. lost as expected E. won as expected. Answer: C. Explanation: “Dark horse” means unexpected winner.
2. Question [1978]: Only the small fry gets punished for such social misdemeanours. Options: A. small boys B. unimportant people C. frightened people D. frivolous people E. inexperienced people. Answer: B. Explanation: “Small fry” refers to minor or unimportant individuals.
3. Question [1978]: He spoke with his heart in his mouth. Options: A. courageously B. with such unusual cowardice C. with a lot of confusion in his speech D. without being able to make up his mind E. with fright and agitation. Answer: E.
4. Question [1978]: The leader in today’s issue of our popular newspaper focuses on inflation. Options: A. president B. headline C. editorial D. columnist E. proprietor. Answer: C.
5. Question [1978]: From the ways my friend talks, you can see he is such a bore. Options: A. rude B. brilliant C. uninteresting D. overbearing E. humorous. Answer: C.

As Chinua Achebe noted, “The world is like a mask dancing. If you want to see it well, you do not stand in one place.” Diversify your practice!

JAMB Physics Past Questions Samples

For science students:

1. Question [1999]: The inner diameter of a test tube can be measured accurately using a? Options: A. micrometer screw gauge B. pair of dividers C. metre rule D. pair of vernier calipers. Answer: A.
2. Question [1999]: Two bodies have masses in the ratio 3:1. They experience forces which impart to them acceleration in the ratio 2:9 respectively. Find the ratio of forces the masses experienced. Options: A. 1:4 B. 2:1 C. 2:3 D. 2:5. Answer: B.
3. Question [1999]: Particles of mass 10⁻²kg is fixed to the tip of a fan blade which rotates with angular velocity of 100rad⁻¹. If the radius of the blade is 0.2m, the centripetal force is. Options: A. 2 N B. 20 N C. 200 N D. 400 N. Answer: B.
4. Question [1999]: A lead bullet of mass 0.05kg is fired with a velocity of 200ms⁻¹ into a lead block of mass 0.95kg. Given that the lead block can move freely, the final kinetic energy after impact is. Options: A. 50 J B. 100 J C. 150 J D. 200 J. Answer: A.
5. Question [1999]: A ball of mass 0.1kg is thrown vertically upwards with a speed of 10ms⁻¹ from the top of a tower 10m high. Neglecting air resistance, its total energy just before hitting the ground is (take g = 10ms⁻²). Options: A. 5 J B. 10 J C. 15 J D. 20 J. Answer: C.

JAMB Chemistry Past Questions Samples

1. Question [1988]: Which of the following statements is NOT correct? Options: A. The average kinetic energy of a gas is directly proportional to its temperature. B. At constant temperature, the volume of a gas increases as the pressure increases. C. The pressure of a gas is inversely proportional to its volume. D. The temperature of a gas is directly proportional to its volume. Answer: B.
2. Question [1978]: Zinc Oxide is a? Options: A. Basic Oxide B. Acidic Oxide C. Amphoteric Oxide D. Neutral Oxide E. Reactive Oxide. Answer: C.
3. Question [1978]: When sodium chloride and metallic sodium are each dissolved in water. Options: A. both processes are exothermic B. both processes are endothermic C. the dissolution of metallic sodium is endothermic D. the dissolution of metallic sodium is exothermic E. the dissolution of sodium chloride is explosive. Answer: D.
4. Question [1978]: The periodic classification of elements is an arrangement of the elements in order of their. Options: A. Atomic Weights B. Isotopic Weights C. Molecular Weights D. Atomic Numbers E. Atomic Masses. Answer: D.
5. Question [1978]: In the reaction between sodium hydroxide and sulphuric acid solutions, what volume of 0.5 molar sodium hydroxide would exactly neutralise 10cm³ of 1.25 molar sulphuric acid? Options: A. 5cm³ B. 10cm³ C. 20cm³ D. 25cm³ E. 50cm³. Answer: E.

JAMB Biology Past Questions Samples

1. Question [1978]: A plant which grows on another plant without apparent harm to the host plant is called. Options: A. a parasite B. an epiphyte C. a saprophyte D. a predator E. a hermaphrodite. Answer: B.
2. Question [1978]: Given the equation: 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂ {Under sunlight & Chlorophyll}. The process represented by the above equation is? Options: A. protein synthesis B. respiration C. photosynthesis D. transpiration E. translocation. Answer: C.
3. Question [1978]: Given the equation: 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂ (Under sunlight & Chlorophyll). The oxygen given off during the above process is derived from. Options: A. sunlight B. chlorophyll C. carbon dioxide D. atmosphere E. water. Answer: E.
4. Question [1978]: One of the function of xylem is. Options: A. strengthening the stem B. manufacturing food C. reducing loss of water D. conducting manufactured food E. storing unused sugar. Answer: A.
5. Question [1978]: People suffering from myopia. Options: A. can see near object clearly B. can see far away object clearly C. cannot see any object clearly D. are colour blind E. are able to see clearly in the dark. Answer: A.

How to Get the JAMB MATHEMATICS Updated Past Questions from Manny Spark

Nigerian Army College of Nursing and Midwifery Past Questions and Answers

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Tips for Using Past Questions Effectively

• Time Yourself: Simulate exam conditions with 40 questions in 45 minutes.
• Review Mistakes: Analyze why you got it wrong – is it conceptual or calculation error?
• Group Study: Discuss with peers in Nigeria’s study circles.
• Integrate with Syllabus: Cross-reference with JAMB brochure.

For advanced tips, see our internal guide: JAMB Study Strategies.

Other Offerings from Manny Spark

From our base in Benin City, Nigeria, Manny Spark offers more than JAMB materials. We provide PDFs for NMCN exams (covering CBT and pen-and-paper formats), Nigeria Immigration Service past questions, Nigerian Airforce recruitment tests, and nursing school entrances like UBTH. All designed for Nigerian professionals and students aiming for careers in healthcare, security, and beyond. Contact us at 08039822082 or 09051720414 for personalized advice.

Key Takeaways

• Practice daily with past questions to boost scores.
• Focus on high-weight topics like geometry in Math.
• Use reliable sources like Manny Spark for updated materials.
• Diversify to other subjects for comprehensive prep.

Get the Full Updated PDF Now

The samples above are just a glimpse. For the complete, updated JAMB Past Questions and Answers PDFs (all subjects, 1978-2025), it costs only N1,000. This includes detailed explanations, tips, and bonus resources.

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