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SNAP Geometry Questions 2026
The Quantitative, Data Interpretation and Data Sufficiency section of the SNAP exam 2026 tests how well you know core maths concepts, how fast you calculate and how quickly you choose the right approach. Geometry, together with Mensuration, is one of the highest-weightage areas in this section. Many questions from coordinate geometry and data sufficiency also rely on basic geometry facts.
Many students find Geometry hard because it has so many theorems, properties and formulas: triangles, circles, polygons, quadrilaterals and 3D solids. Most SNAP Geometry questions, though, are direct applications of one standard result. Once you recognise which property is being tested, the question usually takes less than a minute. The real challenge is visualising the figure quickly and recalling the right formula under time pressure.
Because SNAP is a speed-based exam, you need Geometry formulas at your fingertips. Solving a wide range of questions trains you to spot familiar figures and saves time in the exam.
Aim to solve 10 to 15 Geometry and Mensuration questions daily. Mix direct formula questions with multi-step ones so you are prepared for every level of difficulty.
SNAP Geometry Questions PDF
A well-organised SNAP Geometry Questions PDF puts all the key questions in one place, so you can revise without jumping between sources.
The solutions matter most. They show the fastest method, such as using a Pythagorean triplet or a ratio property instead of long calculations.
Use the PDF for timed practice. Set a time limit for each set, then go through every wrong answer and note whether the mistake came from a forgotten formula, a wrong figure, a calculation slip or misreading the question. This helps you avoid the same errors in the actual exam.
How to Solve These Top 20 SNAP Geometry Questions
Always draw a rough figure. Even a quick sketch helps you see hidden right angles, similar triangles and equal lengths that are hard to spot in text alone.
Memorise Pythagorean triplets. Triplets like (3, 4, 5), (5, 12, 13), (8, 15, 17), (7, 24, 25) and (9, 40, 41), plus their multiples, let you find missing sides instantly.
Master triangle properties. Know the key results:
- the angle bisector theorem
- the midpoint theorem
- the triangle inequality
- the angle at the incentre (90° + A/2)
- the inradius formula (r = Area/s) and the circumradius formula (R = abc/4 × Area)
Know your circle theorems. The following come up often:
- The angle at the centre is twice the angle at the circumference.
- Opposite angles of a cyclic quadrilateral add up to 180°.
- For intersecting chords, the products of the segments are equal (PA × PB = PC × PD).
- A tangent is perpendicular to the radius at the point of contact.
Use similarity ratios. For similar triangles, the ratio of areas equals the square of the ratio of corresponding sides, medians, altitudes or bisectors.
Learn polygon formulas. The sum of interior angles is (n − 2) × 180°, each exterior angle of a regular polygon is 360°/n, and the number of diagonals is n(n − 3)/2.
Revise mensuration formulas regularly. Surface areas and volumes of cubes, cuboids, cylinders, cones and spheres are asked frequently. Percentage-change questions on these solids are also common.
Keep an error log. Geometry mistakes often repeat, such as mixing up radius and diameter or confusing curved surface area with total surface area.
Question 1
The circles of same radius 13 cm intersect each other at A and B. If AB = 10 cm, then the distance between their centres is:
correct answer:- 3
Question 2
IF L is the circumcentre of $$\triangle$$XYZ and angle X is $$40^\circ$$, then the value of $$\angle$$YZL is:
correct answer:- 1
Question 3
Two circles of radii 20 cm and 5 cm, respectively, touch each other externally at the point P, AB is the direct common tangent of those two circles of centres R and S, respectively. The length of AB is equal to:
correct answer:- 4
Question 4
The distance between the centres of two equal circles each of radius 4 cm is 17 cm. The length of a transverse tangent is:
correct answer:- 4
Question 5
A is point at a distance 26 cm from the centre O of a circle of radius 10 cm. AP and AQ are the tangents to the circle at the point of contacts P and Q. If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C, then the perimeter of $$\triangle$$ABC is:
correct answer:- 1
Question 6
In $$\triangle$$ABC, E and D are points on sides AB and AC, respectively, such that $$\angle$$ABC = $$\angle$$ADE. If AE = 6 cm, AD = 4 cm
and EB = 4 cm, then the length of DC is:
correct answer:- 4
Question 7
A secant is drawn from a point P to a circle so that it meets the circle first at A, then goes through the centre, and leaves the circle at B. If the length of the tangent from P to the circle is 12 cm, and the radius of the circle is 5 cm, then the distance from P to A is:
correct answer:- 2
Question 8
In the given figure, chords AB and CD are intersecting each other at point L. Find the length of AB.
correct answer:- 2
Question 9
If two concentric circles are of radii 13 cm and 12 cm, respectively, then the length of the chord of the larger circle which touches the smaller circle is:
correct answer:- 2
Question 10
In the given figure, if OQ = QR, then the value of m is:
correct answer:- 1
Question 11
In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR?
correct answer:- 1
Question 12
In the given figure, chords AD and BC in the circle, are extended to E and F, respectively.
If $$\angle$$CDE = 85$$^\circ$$, $$\angle$$DCF = 94$$^\circ$$, then the value of $$\angle$$ABF + $$\angle$$EAB is:
correct answer:- 2
Question 13
In the given figure, the ratio of the area of the largest square to that of the smallest square is:
correct answer:- 1
Question 14
In the following figure (not to scale), at the centre O if the chord AB subtends double the angle that is subtended by chord CD and the angle $$\angle$$AEB = 2$$\angle$$AOB, then $$\angle$$COD is equal to:
correct answer:- 1
Question 15
If in the following figure (not to the scale), $$\angle$$ACB = 135$$^\circ$$ and the radius of the circle is $$2\sqrt{2}$$ cm, then the length of the chord AB is:
correct answer:- 1
Question 16
A sphere is placed in a cube so that it touches all the faces of the cube. If 'a’ is the ratio of the volume of the cube to the volume of the sphere, and 'b' is the ratio of the surface area of the sphere to the surface area of the cube, then the value of ab is:
correct answer:- 2
Question 17
The lengths of the two sides forming the right angle of a right-angled triangle are 21 cm and 20 cm. What is the radius of the circle circumscribing the triangle?
correct answer:- 4
Question 18
The area of a rhombus is 24 sq. cm and one of its diagonals is 8 cm. Then the length of the other diagonal (in cm)is
correct answer:- 1
Question 19
A right circular cylinder with its diameter equal to its height is incribed in a right circular cone. The base radius and altitude of the cone are 5 cm and 12 cm respectively, and axes of cylinder and cone consider the diameter of the cylinder is
correct answer:- 2
Question 20
In the figure, ABCD is a rectangle and each circle has diameter 4 cm. The length BC is equal to
correct answer:- 1
