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Math Quiz
For Grade 6

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Arithmetic Progression

Arithmetic progressions are a type of sequence where each term is equal to the previous term plus a common difference. Test your knowledge of arithmetic progressions with this short and simple quiz. 

This quiz covers a variety of arithmetic progression topics, including:

  1. Finding the first term and common difference of an arithmetic progression
  2. Writing the explicit formula for an arithmetic progression
  3. Finding the sum of a finite arithmetic progression
  4. Finding the nth term of an arithmetic progression

Ready to get started?  But before that let’s read a fun story. 

Once upon a time, there was a young sixth-grader named Alex who was learning about arithmetic progressions in math class. Alex was a bright student, but he was struggling to understand the concept.

One day, after school, Alex was sitting in his room trying to do his math homework when he fell asleep. When he woke up, he found himself in a strange land.

Alex was surrounded by numbers of all shapes and sizes. The numbers were talking and laughing, and they seemed to be very happy.

“Hello,” said Alex. “Where am I?”

“You are in the Arithmetic Progression Kingdom,” said a large number with a friendly smile. “I am King Arithmetic Progression. What brings you to my kingdom?”

“I’m here to learn about arithmetic progressions,” said Alex. “But I’m having a hard time understanding them.”

“Don’t worry,” said King Arithmetic Progression. “I can help you. Just follow me.”

Learn More
  • Q-1
  • Find the sum of the first 30 multiples of 4.

     

  • Q-2
  • Find the  first term of an AP when its 14th term is 4, and the common difference is 2?

  • Q-3
  • .Find the sum of the first 10 positive even integers

     

  • Q-4
  • If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

  • Q-5
  • Find the sum of the arithmetic progression: 5, 8, 11, 14, 17, 20.

    Arithmetic progressions

  • Q-6
  • Find the sum of the first 22 terms of the AP: 8,3,-2,…..

  • Q-7
  •  In an AP: given a = 5, d=3, an=50, n=?

    Arithmetic progressions

     

  • Q-8
  • The first term of an AP is 7 and the 13th term is 31. What will be the values of d and S13.

  • Q-9
  • An AP has the first term as 3, total number of terms as 8 and the sum of all the terms is 192. What will be the common difference?

    Arithmetic progressions

  • Q-10
  • Find the sum of the AP: 9, 17, 25,….. with total number of terms as 12?

LEARN MORE ABOUT Arithmetic Progression

King Arithmetic Progression led Alex on a tour of the Arithmetic Progression Kingdom. He showed Alex the First Term Palace, the Common Difference Castle, the Explicit Formula Forest, the Sum of a Finite Arithmetic Progression Garden, and the nth Term Tower.

As they toured the kingdom, King Arithmetic Progression explained to Alex how arithmetic progressions work. He explained that the first term is the first number in the sequence, and the common difference is the amount that is added to each term to get the next term.

King Arithmetic Progression also explained how to write the explicit formula for an arithmetic progression. The explicit formula is a mathematical equation that can be used to find any term in an arithmetic progression.

Alex listened carefully to King Arithmetic Progression’s explanations. He began to understand the concept of arithmetic progressions much better.

“Thank you for helping me, King Arithmetic Progression,” said Alex. “I now understand arithmetic progressions much better.”

“You’re welcome,” said King Arithmetic Progression. “Now go forth and share your knowledge with the world!”

Alex woke up from his dream and rushed to his homework. He was now able to complete his math homework with ease. He also helped his classmates to understand arithmetic progressions.

Alex was grateful to King Arithmetic Progression for teaching him about arithmetic progressions. He knew that this important math concept would help him to succeed in math class and in life.

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    ABOUT THIS GRADE 6 MATH QUIZ

    Moonpreneur has curated a set of quiz questions, especially for 6th Graders. It gets more interesting as we have a special prize at the end for everyone whether you answer all questions correctly or not. This quiz covers the topics such as addition, multiplication, word problem, measurement, decimals, and much more.

    Take the Math quiz and unleash the hidden Mathematician in you!!