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CBSE Class 8  >  Class 8 Test  >  Mathematical Olympiad   >  Olympiad Test: Achieves Section-5 - Class 8 MCQ

Olympiad Test: Achieves Section-5 - Free MCQ with solutions Class 8 Mathematical


MCQ Practice Test & Solutions: Olympiad Test: Achieves Section-5 (10 Questions)

You can prepare effectively for Class 8 Mathematical Olympiad Class 8 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Olympiad Test: Achieves Section-5". These 10 questions have been designed by the experts with the latest curriculum of Class 8 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Olympiad Test: Achieves Section-5 - Question 1
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Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The sum of the first n natural numbers is given by n(n+1)/2.
(ii) The sum of the squares of the first n natural numbers is given by n(n+1)(2n+1)/6.
(iii) The sum of the cubes of the first n natural numbers is given by (n(n+1)/2)².

Detailed Solution: Question 1

(i) The sum of the first n natural numbers is indeed given by n(n+1)/2, which is correct.
(ii) The sum of the squares of the first n natural numbers is given by n(n+1)(2n+1)/6, which is also correct.
(iii) The sum of the cubes of the first n natural numbers is given by (n(n+1)/2)², which is correct.

Olympiad Test: Achieves Section-5 - Question 2
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Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The probability of getting a head when tossing a fair coin is 1/2.
(ii) The probability of getting a 5 when rolling a fair six-sided die is 1/6.
(iii) The sum of probabilities of all possible outcomes in a random experiment is always 1.

Detailed Solution: Question 2

(i) The probability of getting a head when tossing a fair coin is 1/2, which is correct.
(ii) The probability of getting a 5 when rolling a fair six-sided die is 1/6, which is also correct.
(iii) The sum of probabilities of all possible outcomes in a random experiment is always 1, which is correct.

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Olympiad Test: Achieves Section-5 - Question 3
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The base area of a rectangular prism is 60 cm2 . If its height is 10 cm, find its volume.

Detailed Solution: Question 3

Volume of a rectangular prism = Base area × height
= 60 cm2 × 10 cm = 600cm3

Olympiad Test: Achieves Section-5 - Question 4
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If the circumference of a circle is 44 cm, find its area.

Detailed Solution: Question 4

Circumference of a circle = 2πr = 44cm
πr = 22
r = 22 / π = 7 cm
Area = πr2 = π × 72 =  π × 49 = 154 cm2

Olympiad Test: Achieves Section-5 - Question 5
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The length, breadth, and height of a cuboid are 15 cm, 10 cm, and 8 cm respectively. Find the total surface area of the cuboid.

Detailed Solution: Question 5

Total surface area of a cuboid = 2(lb + bh + hl)
= 2(15 × 10 + 10 × 8 + 8 × 15)
= 2(150 + 80+ 120) = 2 × 350 = 700cm2

Olympiad Test: Achieves Section-5 - Question 6
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The diagonals of a rhombus are 16 cm and 30 cm. Find its area.

Detailed Solution: Question 6

Area of a rhombus = 1/2 d1d2
= 1/2 x 16 x 30 = 240 cm2

Olympiad Test: Achieves Section-5 - Question 7
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A cone has a base radius of 7 cm and a height of 24 cm. Find its volume.

Detailed Solution: Question 7

Volume of a cone = 1/3 πr2 h

Olympiad Test: Achieves Section-5 - Question 8
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If the area of a trapezium is 90 cm2 and its height is 5 cm, find the sum of the lengths of the parallel sides.

Detailed Solution: Question 8

Area of a trapezium = 1/2 ×(sum of parallel sides) × height
90 = 1/2 ×(sum of parallel sides) × 5
sum of parallel sides = 90×2 / 5 =36cm

Olympiad Test: Achieves Section-5 - Question 9
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A sphere has a diameter of 14 cm. Find its surface area.

Detailed Solution: Question 9

Radius r = 14/2  = 7cm
Surface area of a sphere = 4πr2
= 4 π × 49 = 616cm2

Olympiad Test: Achieves Section-5 - Question 10
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The base area of a triangular prism is 45 cm². If its height is 8 cm, find its volume.

Detailed Solution: Question 10

Volume of a triangular prism = Base area × height
= 45cm2 × 8cm = 360cm3

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About this Class 8 Practice Test

This test contains 10 MCQs on Olympiad Test: Achieves Section-5 with detailed solutions for each question. It is part of the Mathematical Olympiad Class 8 course on EduRev, designed to align with the current Class 8 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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