Mensuration: JAMB Mathematics Questions, Answers & Notes

What Mensuration covers in the JAMB Mathematics syllabus

Mensuration is measuring lengths, areas and volumes. Area: rectangle = l×w, triangle = ½bh, circle = πr², trapezium = ½(a+b)h, parallelogram = b×h. Perimeter/circumference: rectangle = 2(l+w), circle = 2πr. Volume: cuboid = l×w×h, cube = side³, cylinder = πr²h, cone = ⅓πr²h, sphere = (4/3)πr³. Surface areas: cube = 6×side², cylinder curved = 2πrh. Use π = 22/7 (or 3.142) as directed, and remember the diameter is twice the radius. Pythagoras (a² + b² = c²) gives diagonals and slant heights.

For Mensuration, JAMB expects you to be able to:

• Calculate perimeter, area and volume of plane and solid shapes
• Apply π correctly for circles, cylinders, cones and spheres
• Use Pythagoras for diagonals and solve real-world measurement problems

Key facts & revision notes: Mensuration

These are the recurring points our Mensuration questions test — revise them until each feels automatic, then practise the questions above to lock them in.

• Area of a rectangle = length × width = 8 × 5 = 40 cm².
• Area = πr² = (22/7) × 7² = (22/7) × 49 = 154 cm².
• Perimeter of a square = 4 × side = 4 × 9 = 36 cm.
• Circumference = 2πr = 2 × (22/7) × 14 = 88 cm.
• Area = ½ × base × height = ½ × 10 × 6 = 30 cm².
• Volume of a cube = side³ = 4³ = 64 cm³.
• Volume = length × width × height = 5 × 3 × 2 = 30 cm³.
• Area = ½(a + b)h = ½(6 + 10)(4) = ½ × 16 × 4 = 32 cm².
• Volume = πr²h = (22/7) × 49 × 10 = 154 × 10 = 1540 cm³.
• Area of a parallelogram = base × height = 12 × 5 = 60 cm².
• A cube has 6 equal faces: 6 × side² = 6 × 9 = 54 cm².
• Diagonal = √(3² + 4²) = √(9 + 16) = √25 = 5 cm (Pythagoras).
• The volume of a sphere is (4/3)πr³.
• Area of a semicircle = ½πr² = ½ × (22/7) × 49 = ½ × 154 = 77 cm².
• The curved (lateral) surface area of a cylinder is 2πrh.
• Floor area = length × width = 6 × 4 = 24 m².
• Perimeter = 2(length + width) = 2(12 + 8) = 2 × 20 = 40 cm.
• The volume of a cone is one-third that of a cylinder: (1/3)πr²h.
• Area = πr² = (22/7) × 49 = 154 cm².
• A cone's volume is one-third of a cylinder with the same base and height, so 1 : 3.
• Area = length × width = 12 × 7 = 84 cm².
• πr² = 22/7 × 21² = 22 × 63 = 1386 cm².
• Perimeter = 2(15 + 5) = 40 cm.
• 2πr = 2 × 22/7 × 7 = 44 cm.

Worked examples

Three Mensuration questions with the answer and a short explanation, so you can see how the topic is set before you practise the full set.

How Mensuration is tested in JAMB Mathematics

Our Mensuration bank holds 40 questions (16 easy, 14 medium, 10 hard). JAMB Mathematics typically returns to Mensuration year after year, so steady practice on this topic is high-value revision. Questions are multiple-choice with four options, and at UTME pace you get roughly 40 seconds each — which is why timed practice matters.

How to answer Mensuration questions

Work the stem first and predict the answer before you look at the options; then eliminate the ones that contradict the key facts above. Watch for “which is not…”, “all of the above” and “except” style stems, which are where rushed candidates lose easy marks on Mensuration. If a calculation or a precise definition is involved, work it from first principles rather than guessing from a half-remembered rule. When two options look right, re-read the stem for the qualifier that separates them — JAMB rarely repeats an option by accident. If you are still unsure, eliminate the two weakest choices to lift your odds, flag the question, and move on; never burn a full minute on one Mathematics item when the exam gives you about forty seconds each. Then come back to flagged questions with whatever time remains. The single most reliable way to get faster at Mensuration is repeated timed practice, so use the button above until the recurring patterns feel automatic.

Common mistakes to avoid in Mensuration

The errors that cost marks on Mensuration are usually careless rather than conceptual: misreading a negative stem, confusing two similar terms, or rushing a definition you actually know. Candidates also over-rely on “expo” and last-minute cramming instead of understanding the topic — which fails the moment JAMB rephrases a familiar idea. Treat every option as a claim to be checked against the facts above, keep your working tidy for any calculation, and don’t change a considered answer on a hunch. Above all, revise Mensuration actively by answering questions, not just by re-reading notes — recall under time is what the exam rewards.

Frequently asked questions

Is Mensuration part of the JAMB Mathematics syllabus?

Yes. Mensuration is a recognised topic in the JAMB Mathematics syllabus, covering calculate perimeter, area and volume of plane and solid shapes. You should be able to recall its key facts and apply them to multiple-choice questions.

How many Mensuration questions can I practise on Belmadeng?

There are 40 original, JAMB-standard Mensuration questions in our free bank, each with the correct answer and a worked explanation. You can practise them untimed or as a timed test.

What are the most important points to know about Mensuration?

Mensuration is measuring lengths, areas and volumes. Area: rectangle = l×w, triangle = ½bh, circle = πr², trapezium = ½(a+b)h, parallelogram = b×h. Perimeter/circumference: rectangle = 2(l+w), circle = 2πr. Volume: cuboid = l×w×h, cube = side³, cylinder = πr²h, cone = ⅓πr²h, sphere = (4/3)πr³. Surfa…

How do I answer Mensuration questions quickly in JAMB?

Read the stem carefully, eliminate clearly wrong options, and match the remaining choices to the key facts for Mensuration. Practising timed Mensuration questions builds the speed you need for UTME's pace of about 40 seconds per question.

Are these JAMB Mathematics Mensuration questions past questions or original?

They are original questions written to JAMB (UTME) standard and mapped to the official syllabus — not reproduced past papers. This keeps them legal to use freely while closely mirroring how the real exam tests the topic.

Where can I practise Mensuration questions free without signing up?

Right here — tap “Start Mensuration practice” on this page to begin instantly. Belmadeng's CBT practice is completely free and needs no sign-up, download or subscription.

About these questions: original, JAMB-standard items written from the official UTME Mathematics syllabus (last reviewed 2026-09-18). Belmadeng is an independent study platform and is not affiliated with JAMB. Spotted an error? Use the report link.