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 Mensuration, 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. Find the volume of a cylinder with radius 7 cm and height 10 cm. (π = 22/7)
(A) 3080 cubic cm
(B) 440 cubic cm
(C) 1540 cubic cm
(D) 1640 cubic cm
Q2. Find the curved surface area of a cylinder of radius 14 cm and height 6 cm. (π = 22/7)
(A) 3696 sq cm
(B) 264 sq cm
(C) 1760 sq cm
(D) 528 sq cm
Q3. Find the area of a trapezium whose parallel sides are 10 cm and 6 cm and height is 4 cm.
(A) 64 sq cm
(B) 60 sq cm
(C) 32 sq cm
(D) 36 sq cm
Q4. A solid has 6 faces and 8 vertices. How many edges does it have? (Use Euler's formula F + V − E = 2)
(A) 10
(B) 12
(C) 14
(D) 8
Q5. Find the volume of a cylinder with radius 14 cm and height 5 cm. (π = 22/7)
(A) 6160 cubic cm
(B) 3080 cubic cm
(C) 440 cubic cm
(D) 3180 cubic cm
Q6. Find the curved surface area of a cylinder of radius 21 cm and height 10 cm. (π = 22/7)
(A) 13860 sq cm
(B) 660 sq cm
(C) 1320 sq cm
(D) 4092 sq cm
Q7. Find the area of a trapezium whose parallel sides are 15 cm and 9 cm and height is 6 cm.
(A) 144 sq cm
(B) 135 sq cm
(C) 78 sq cm
(D) 72 sq cm
Q8. Find the volume of a cylinder with radius 3.5 cm and height 10 cm. (π = 22/7)
(A) 385 cubic cm
(B) 770 cubic cm
(C) 220 cubic cm
(D) 485 cubic cm
Q9. Find the curved surface area of a cylinder of radius 7 cm and height 10 cm. (π = 22/7)
(A) 1540 sq cm
(B) 220 sq cm
(C) 748 sq cm
(D) 440 sq cm
Q10. Find the area of a trapezium whose parallel sides are 12 cm and 8 cm and height is 5 cm.
(A) 50 sq cm
(B) 100 sq cm
(C) 96 sq cm
(D) 55 sq cm
Answer Key with Explanations
(C) 1540 cubic cm — V = πr²h = 22/7 × 7² × 10 = 1540 cubic cm.
(D) 528 sq cm — CSA = 2πrh = 2 × 22/7 × 14 × 6 = 528 sq cm.
(C) 32 sq cm — Area = ½ (a + b) h = ½ × 16 × 4 = 32 sq cm.
(B) 12 — E = F + V − 2 = 6 + 8 − 2 = 12; it is a cube or cuboid.
(B) 3080 cubic cm — V = πr²h = 22/7 × 14² × 5 = 3080 cubic cm.
(C) 1320 sq cm — CSA = 2πrh = 2 × 22/7 × 21 × 10 = 1320 sq cm.
(D) 72 sq cm — Area = ½ (a + b) h = ½ × 24 × 6 = 72 sq cm.
(A) 385 cubic cm — V = πr²h = 22/7 × 3.5² × 10 = 385 cubic cm.
(D) 440 sq cm — CSA = 2πrh = 2 × 22/7 × 7 × 10 = 440 sq cm.
(A) 50 sq cm — Area = ½ (a + b) h = ½ × 20 × 5 = 50 sq cm.
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.
