School Olympiads - International Mathematics Olympiad (IMO)

Mensuration (Surface Area & Volume) question bank (Class 7 & 8 - Advanced Arithmetic, Algebra & Geometry)

Practice 5 free School Olympiads - International Mathematics Olympiad (IMO) Class 7 & 8 - Advanced Arithmetic, Algebra & Geometry - Mensuration (Surface Area & Volume) questions with answers and step-by-step solutions.

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Q1.

A metallic sphere of radius $6\text{ cm}$ is melted and recast into small cones, each of radius $2\text{ cm}$ and height $3\text{ cm}$. How many such small cones are formed?

(A)

{'key': 'A', 'text': '54'}

(B)

{'key': 'B', 'text': '72'}

(C)

{'key': 'C', 'text': '108'}

(D)

{'key': 'D', 'text': '216'}

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Q2.

In an Olympiad competition problem on Mensuration (Surface Area & Volume):
Find the numerical value of $X$ satisfying $$X = (27 \times 5) - 14 + 11$$.

(A)

{'key': 'A', 'text': '132'}

(B)

{'key': 'B', 'text': '136'}

(C)

{'key': 'C', 'text': '128'}

(D)

{'key': 'D', 'text': '141'}

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