 ## inquiry@moonpreneur.com # Math Quiz For Grade 6

To unlock a special gift at the end!! ##### SELECT THE TOPIC ##### HCF

HCF stands for “Highest Common Factor.” The Highest Common Factor of two numbers is the highest number among all the common factors of the given numbers.

In a faraway kingdom, two friends, Jack and Ben, loved collecting magical crystals. Each had a unique collection of crystals, but they wondered if there were any crystals they both had.

They met an old wise sorcerer who told them about the magic of HCF, the Highest Common Factor. HCF was the biggest number that could divide both of their crystal collections perfectly.

Jack had 12 crystals, and Ben had 18 crystals. The sorcerer helped them find the HCF of 12 and 18, which was 6. This meant that they both had 6 crystals in common.

• Q-1
• What is the HCF of 15 and 25?

• Q-2
• What is the HCF of 24 and 36?

• Q-3
• What will be the greatest possible length that can be used to measure exactly the lengths 7 m 70cm, 3 m 85 cm, 12 m 95 cm?

• Q-4
• Mr. Paul has three classes. Each class has 28, 42, and 56 students, respectively. Mr. Patil wants to divide each class into groups so that every group in every class has the same number of students and there are no students left over. What is the maximum number of students Mr. Paul can put into each group?

• Q-5
• The HCF of two consecutive odd numbers is…

• Q-6
• A trader has three bundles of strings of lengths 330 m, 435 m, and 375 m, respectively. The string in three bundles is cut into pieces of equal lengths so that no string is left over. What is the greatest possible length of each piece?

• Q-7
• Find the maximum number of students among whom 182 chocolates and 247 candies can be distributed such that each student gets the same number of each.

• Q-8
• Which of the following is HCF of the following 36, 48, 60?

• Q-9
• A teacher wants to distribute 48 pencils and 60 erasers equally among her students. What is the maximum number of students in her class?

• Q-10
• What is the HCF of 54, 72, and 90? ## With the power of HCF, Jack and Ben discovered the crystals they shared, making their friendship even stronger.Simply put, HCF, or the Highest Common Factor, is a mathematical concept that helps us find the largestnumber that can divide two or more given numbers evenly. It is also known as the greatest commondivisor (GCD).Let’s take two numbers, 12 and 18, as an example. To find their HCF,we need to list their factors and identify the largest number that appears in both lists. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18. From these lists, we see that the largest number that is common to both 12 and 18 is 6. So, the HCF of 12 and 18 is 6. 