Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Quadrilaterals and Polygons, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. What is the sum of interior angles of a polygon with 12 sides?
(A) 2160°
(B) 1980°
(C) 1800°
(D) 150°
Q2. In a parallelogram, opposite angles are ________.
(A) supplementary
(B) equal
(C) complementary
(D) always 90°
Q3. What is each exterior angle of a regular polygon with 5 sides?
(A) 72°
(B) 144°
(C) 108°
(D) 82°
Q4. The diagonals of a rhombus bisect each other at ________.
(A) right angles
(B) 45°
(C) 60°
(D) no fixed angle
Q5. What is the sum of interior angles of a polygon with 8 sides?
(A) 1440°
(B) 1260°
(C) 135°
(D) 1080°
Q6. What is the sum of interior angles of a polygon with 5 sides?
(A) 900°
(B) 720°
(C) 540°
(D) 108°
Q7. A quadrilateral with exactly one pair of parallel sides is called a ________.
(A) parallelogram
(B) rhombus
(C) kite
(D) trapezium
Q8. What is each exterior angle of a regular polygon with 8 sides?
(A) 45°
(B) 90°
(C) 135°
(D) 55°
Q9. Three angles of a quadrilateral are 90°, 90° and 70°. Find the fourth angle.
(A) 90°
(B) 120°
(C) 110°
(D) 180°
Q10. A square is a rectangle whose ________.
(A) diagonals are unequal
(B) all sides are equal
(C) angles are 60°
(D) one pair of sides is parallel
Answer Key with Explanations
(C) 1800° — Sum = (n − 2) × 180° = 10 × 180° = 1800°.
(B) equal — Opposite angles of a parallelogram are equal; adjacent angles are supplementary.
(A) 72° — Exterior angles sum to 360°: 360 ÷ 5 = 72°.
(A) right angles — Rhombus diagonals are perpendicular bisectors of each other.
(D) 1080° — Sum = (n − 2) × 180° = 6 × 180° = 1080°.
(C) 540° — Sum = (n − 2) × 180° = 3 × 180° = 540°.
(D) trapezium — A trapezium has one pair of parallel sides.
(A) 45° — Exterior angles sum to 360°: 360 ÷ 8 = 45°.
(C) 110° — Angles of a quadrilateral add up to 360°: 360 − 250 = 110°.
(B) all sides are equal — A square is a rectangle with all four sides equal.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
Free AISSEE / RMS Mock Test
Want a full-length mock test with an All-India rank? Enunciate Academy runs online coaching for Sainik School, RMS, Navodaya and RIMC entrance exams for Class 6 and 9 students across Andhra Pradesh and Telangana. Message us on WhatsApp (94924 44498) to get a free mock test, or see the Spark batch details.
