Mensuration (Area & Volume) Practice Questions with Detailed Solutions – Level 1
Level 1 mensuration practice on the area, surface area and volume of cuboids, cubes, cylinders, cones and spheres, including recasting and water-flow problems.
- 55 Qs
Untimed concept drills
Topic-wise question sets for practising one concept at a time. Every answer is checked the moment you give it, with the solution beside it, and there is no clock unless you choose one.
Level 1 mensuration practice on the area, surface area and volume of cuboids, cubes, cylinders, cones and spheres, including recasting and water-flow problems.
Level 2 circle geometry practice on cyclic quadrilaterals, exterior angles, tangents, Pitot's theorem, tangent-chord angles and chord-secant products, with a detailed solution to every question.
Level 1 circle geometry practice on inscribed and central angles, cyclic quadrilaterals, arc length, sector area, tangents and chord distances, with detailed solutions.
A mixed geometry and mensuration exercise covering circles, tangents, triangles, cyclic quadrilaterals, shaded areas and solids such as cones and cylinders, with a worked solution to every question.
A Quant Geometry lesson on the centroid, incentre, circumcentre and orthocentre, from median lengths and areas to angle results and distances between centres along the Euler line.
A topic practice set on Pythagorean triplets and right triangles, covering primitive triplets, inradius, altitude to the hypotenuse and counts of integer-sided right triangles, with worked solutions.
A similarity geometry set on similar triangles, the basic proportionality theorem, area ratios and Pythagorean triplets, with a written solution for every problem.
Advanced trigonometry practice on the cosine rule, triangle area, sides in AP and GP, chords and the greatest and least values of expressions, with detailed solutions for most questions.
Rectangle-focused practice on area, perimeter, diagonals, fencing with poles, paving with bricks, carpeting with margins and percentage change in area, with a worked solution for every question.
Geometry practice on area and perimeter of triangles, squares and circles, with inscribed figures, sectors, wheels, tracks and grazing problems.
Level 2 trigonometry practice on exact values of non-standard angles, compound and double-angle simplification, and heights and distances problems with towers, ships and aircraft.
Practice on signs and exact values of trigonometric ratios beyond ninety degrees, clockwise and allied angles, and sum, difference and double-angle formulas, with detailed solutions.
Tell us the topic and a mentor will call you back to work through it with you.
Jumping straight into two-hour timed tests is how scores plateau. Each step below is a part of this library.
One topic at a time, untimed, with each answer checked and explained as you go.
The same topics as the exam actually asked them, in Normal practice first.
Previous year papersA short timed test that shows which topics still cost you marks.
AssessmentsThe whole paper against the clock, in the real computer-based format.
Mock tests