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Class 6 Exam  >  Class 6 Tests  >  Maths Olympiad Class 6  >  Olympiad Test : High Order Thinking Skills - 3 - Class 6 MCQ

Olympiad Test : High Order Thinking Skills - 3 - Class 6 MCQ


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10 Questions MCQ Test Maths Olympiad Class 6 - Olympiad Test : High Order Thinking Skills - 3

Olympiad Test : High Order Thinking Skills - 3 for Class 6 2024 is part of Maths Olympiad Class 6 preparation. The Olympiad Test : High Order Thinking Skills - 3 questions and answers have been prepared according to the Class 6 exam syllabus.The Olympiad Test : High Order Thinking Skills - 3 MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test : High Order Thinking Skills - 3 below.
Solutions of Olympiad Test : High Order Thinking Skills - 3 questions in English are available as part of our Maths Olympiad Class 6 for Class 6 & Olympiad Test : High Order Thinking Skills - 3 solutions in Hindi for Maths Olympiad Class 6 course. Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free. Attempt Olympiad Test : High Order Thinking Skills - 3 | 10 questions in 20 minutes | Mock test for Class 6 preparation | Free important questions MCQ to study Maths Olympiad Class 6 for Class 6 Exam | Download free PDF with solutions
Olympiad Test : High Order Thinking Skills - 3 - Question 1
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A rectangular garden is 20 meters long and 15 meters wide. If a 1-meter-wide path is built inside the garden all around, what will be the area of the remaining garden?

Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 1

Original garden area: 20 * 15 = 300 m²
New dimensions after the path: (20 - 2) * (15 - 2) = 18 * 13 = 234 m²
Remaining area: 234 m²

Olympiad Test : High Order Thinking Skills - 3 - Question 2
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The sum of three consecutive odd numbers is 111. What is the smallest of these numbers?

Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 2
Let the numbers be x, x+2, and x+4.
Their sum: x + (x+2) + (x+4) = 3x + 6 = 111
Solve for x: 3x = 105, so x = 35
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Olympiad Test : High Order Thinking Skills - 3 - Question 3
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A tank is 2/3 full of water. When 120 liters are removed, it becomes 1/4 full. What is the total capacity of the tank?

Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 3

Let the tank's total capacity be x liters.
Equation: 2/3 of x - 120 = 1/4 of x
Solve: x = 288 liters

Olympiad Test : High Order Thinking Skills - 3 - Question 4
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What is the least common multiple (LCM) of 12, 15, and 20?
Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 4

To find the Least Common Multiple (LCM) of 12, 15, and 20, we first find the prime factorizations of each number

12 = 22 * 3

15 = 3* 5

20 = 22 ​​​​​​​* 5

LCM calculation: 2² * 3 * 5 = 60

 

 

Olympiad Test : High Order Thinking Skills - 3 - Question 5
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A train travels at 54 km/h. How many meters does it travel in 30 seconds?
Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 5

Speed = 54,000 meters/hour
Distance in 30 seconds: 54000 * (30 / 3600) = 450 meters

Olympiad Test : High Order Thinking Skills - 3 - Question 6
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Simplify 
Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 6

Olympiad Test : High Order Thinking Skills - 3 - Question 7
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If x - y = 3 and x² - y² = 15, what is the value of x + y?
Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 7
Formula: (x - y)(x + y) = 15
Given x - y = 3
Solve: x + y = 5
Olympiad Test : High Order Thinking Skills - 3 - Question 8
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If 45% of a class of 40 students prefer chocolate ice cream, how many students is that?
Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 8
45% of 40 = 18 students
Olympiad Test : High Order Thinking Skills - 3 - Question 9
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A rectangle has a perimeter of 36 cm. If its length is twice its width, what are the dimensions of the rectangle?
Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 9
Let width = x cm. Length = 2x cm
Perimeter: 6x = 36, so x = 6
Width = 6 cm, Length = 12 cm
Olympiad Test : High Order Thinking Skills - 3 - Question 10
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The average of five numbers is 27. If one number is removed, the average becomes 25. What is the removed number?
Detailed Solution for Olympiad Test : High Order Thinking Skills - 3 - Question 10

(i) The average of the five numbers is 27, so: a + b + c + d + e5 = 27

(ii) Therefore, the sum of the five numbers is:
a + b + c + d + e = 27 × 5 = 135

(iii) When one number is removed, the average of the remaining four numbers is 25: a + b + c + d4 = 25

(iv) Thus, the sum of the remaining four numbers is:
a + b + c + d = 25 × 4 = 100

(v) The removed number is:
135 - 100 = 35

Hence, the removed number is 35.

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