JAMB Mathematics · Geometry/Trigonometry

Euclidean Geometry: JAMB Mathematics Past Questions and Answers

What the JAMB syllabus covers in Euclidean Geometry

Our summary: Angles, lines, polygons and circles, and how to construct special angles.

  • Properties of angles and lines
  • Polygons: triangles, quadrilaterals and general polygons
  • Circles: angle properties, cyclic quadrilaterals and intersecting chords
  • Construction

Objectives

  • Identify various types of lines and angles
  • Solve problems involving polygons
  • Calculate angles using circle theorems
  • Identify construction procedures of special angles, e.g. 30∘30^\circ, 45∘45^\circ, 60∘60^\circ, 75∘75^\circ, 90∘90^\circ, etc.

Syllabus content © The Joint Admissions and Matriculation Board (UTME).

JAMB Mathematics questions on Euclidean Geometry

  1. JAMB 2025Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?
  2. JAMB 2025Calculate the interior angle of a 5 - sided regular polygon
  3. JAMB 2025The chord of a circle of radius 17 cm is 30 cm long. Calculate the distance of the chord from the centre of the circle.
  4. JAMB 2023The perimeter of an isosceles right-angled triangle is 2 meters. Find the length of its longer side.
  5. JAMB 2023The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.
  6. JAMB 2022Find the length of a chord 3cm from the centre of a circle of radius 5cm
  7. JAMB 2021Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
  8. JAMB 2021Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
  9. JAMB 2021The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles​
  10. JAMB 2020The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.
  11. JAMB 2019The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is
  12. JAMB 2019Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.
  13. JAMB 2016The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.
  14. JAMB 2015How many sides has a regular polygon whose interior angles are 120°each
  15. JAMB 2014How many sides has a regular polygon whose interior angle is 135°?
  16. JAMB 2013If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.
  17. JAMB 2012The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.
  18. JAMB 2011A chord of circle of radius 7cm is 5cm from the centre of the circle.What is the length of the chord?
  19. JAMB 2011What is the size of each interior angle of a 12-sided regular polygon?
  20. JAMB 2010The interior angles of a quadrilateral are (x + 15)°, (2x - 45)°, ( x - 30)° and (x + 10)°. Find the value of the least interior angle.

Years with Euclidean Geometry questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2025
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010