Preparing for your Maths exam becomes much easier when you practise the right questions. If you are looking for Class 8 Maths Algebra Play Chapter 6 MCQs with Answers, this page is designed to help you revise the chapter in a simple, quick, and exam-focused way. Based on the latest CBSE Board Class 8 Maths Ganita Prakash Part 2 book, these MCQs cover the important concepts that students are expected to learn and apply in school examinations.
Chapter 6 - Algebra Play makes algebra interesting by introducing number tricks, algebraic expressions, mathematical patterns, generalisation, number pyramids, calendar puzzles, and logical reasoning. Instead of memorising rules, this chapter encourages you to understand patterns and use algebra to solve different types of problems. Practising Class 8 Maths Algebra Play Chapter 6 MCQs with Answers regularly will help you strengthen these concepts, improve your problem-solving skills, and build confidence before your exams.
Whether you are preparing for a class test, unit test, half-yearly examination, annual examination, or simply revising the chapter, these MCQs provide an effective way to check your understanding. The questions are arranged to help you move from basic concepts to application-based thinking, making your revision more organised and productive.
If you would like to practise more objective questions after completing this chapter, you can explore our MCQs collection for additional practice. Students looking for chapter-wise resources can also visit our Class 8 MCQs section, while those preparing specifically for Mathematics can explore our Class 8 Maths MCQs page to practise every chapter of the latest CBSE syllabus in one place. These resources are designed to support your learning throughout the academic year and make exam preparation easier.
Class 8 Maths Algebra Play Chapter 6 MCQs with Answers
Practise these carefully selected Class 8 Maths Algebra Play Chapter 6 MCQs with Answers to strengthen your understanding of the chapter and prepare effectively for your CBSE exams. The questions cover important concepts from the Ganita Prakash Part 2 textbook and range from basic understanding to Olympiad-level thinking. Attempt each MCQ on your own before checking the answer and explanation to improve your conceptual clarity, problem-solving skills, and exam confidence.
Q. A student thinks of a number x. He multiplies it by 5, adds 20, divides the result by 5, and then subtracts the original number. What is the final result?
A. 2
B. 4
C. 5
D. 20
Answer: B. 4
Explanation:
The expression becomes ((5x + 20) ÷ 5) − x = (x + 4) − x = 4.
Q. A two-digit number is represented by 10a + b. If its digits are reversed, what is the algebraic expression for the new number?
A. 10a + b
B. 10b + a
C. a + b
D. 100a + b
Answer: B. 10b + a
Explanation:
When the digits are reversed, the ones digit becomes the tens digit. Therefore, the new number is 10b + a.
Q. The difference between a two-digit number and the number obtained by reversing its digits is always divisible by:
A. 7
B. 8
C. 9
D. 11
Answer: C. 9
Explanation:
(10a + b) − (10b + a) = 9(a − b), which is always divisible by 9.
Q. A three-digit number is represented by 100a + 10b + c. Which expression represents the number formed by cycling the digits to bca?
A. 100b + 10c + a
B. 100c + 10b + a
C. 100a + 10c + b
D. 10b + c + a
Answer: A. 100b + 10c + a
Explanation:
In bca, b becomes the hundreds digit, c becomes the tens digit, and a becomes the ones digit.
Q. The sum of the numbers abc, bca, and cab is always divisible by:
A. 27
B. 31
C. 37
D. 41
Answer: C. 37
Explanation:
Their sum equals 111(a + b + c). Since 111 = 3 × 37, the total is always divisible by 37.
Q. A number x is multiplied by 6. Then 18 is added. The result is divided by 3, and finally twice the original number is subtracted. What is obtained?
A. 3
B. 6
C. 9
D. x
Answer: B. 6
Explanation:
((6x + 18) ÷ 3) − 2x = (2x + 6) − 2x = 6.
Q. A two-digit number has digits a and b. If the sum of the number and its reverse is written algebraically, which expression is correct?
A. 9(a + b)
B. 11(a + b)
C. 10(a + b)
D. 20(a + b)
Answer: B. 11(a + b)
Explanation:
(10a + b) + (10b + a) = 11a + 11b = 11(a + b).
Q. A number pyramid is formed by adding every pair of adjacent numbers. If the bottom row is 2, 5, 7, and 4, what is the topmost number?
A. 38
B. 40
C. 42
D. 44
Answer: C. 42
Explanation:
Second row: 7, 12, 11
Third row: 19, 23
Top = 19 + 23 = 42.
Q. A calendar has a 2 × 2 block. The top-left number is x. What is the sum of all four numbers?
A. 4x + 12
B. 4x + 14
C. 4x + 16
D. 4x + 18
Correct Answer: C. 4x + 16
Explanation:
The numbers are x, x + 1, x + 7, and x + 8.
Their sum = x + (x + 1) + (x + 7) + (x + 8) = 4x + 16.
Q. A student thinks of a number x. He adds 8, doubles the result, subtracts 4, divides by 2, and then subtracts the original number. What is the final answer?
A. 4
B. 6
C. 8
D. 10
Answer: B. 6
Explanation:
2(x + 8) − 4 = 2x + 12
(2x + 12) ÷ 2 = x + 6
(x + 6) − x = 6
Q. A three-digit number is represented by 100a + 10b + c. Which expression represents the number obtained by reversing its digits?
A. 100c + 10b + a
B. 100b + 10a + c
C. 100a + 10c + b
D. 10c + 10b + a
Answer: A. 100c + 10b + a
Explanation:
After reversing the digits, c becomes the hundreds digit, b remains the tens digit, and a becomes the ones digit.
Q. A student thinks of a number x. He triples it, adds 21, divides the result by 3, and subtracts the original number. What is the final result?
A. 3
B. 5
C. 7
D. 21
Answer: C. 7
Explanation:
((3x + 21) ÷ 3) − x = (x + 7) − x = 7.
Q. The expression 100a + 10b + c represents a three-digit number. If a = 4, b = 8, and c = 5, the number is:
A. 458
B. 485
C. 548
D. 845
Answer: B. 485
Explanation:
100 × 4 + 10 × 8 + 5 = 400 + 80 + 5 = 485? Wait carefully.
400 + 80 + 5 = 485.
Q. A two-digit number is represented by 10a + b. If the tens digit is increased by 1 while the ones digit remains the same, the new number is:
A. 10a + b + 1
B. 10(a + 1) + b
C. 10a + (b + 1)
D. 11a + b
Answer: B. 10(a + 1) + b
Explanation:
Increasing the tens digit by 1 adds 10 to the number.
Q. The sum of five consecutive integers is 185. What is the middle integer?
A. 35
B. 36
C. 37
D. 38
Answer: C. 37
Explanation:
The middle number is equal to the average.
185 ÷ 5 = 37.
Q. In a number pyramid, each block is the sum of the two blocks directly below it. If the bottom row is 4, 6, 3, and 5, what is the topmost number?
A. 34
B. 36
C. 38
D. 40
Answer: B. 36
Explanation:
Second row: 10, 9, 8
Third row: 19, 17
Top = 19 + 17 = 36.
Q. A 2 × 2 calendar block has the top-left number as 18. What is the sum of all four numbers?
A. 82
B. 84
C. 86
D. 88
Answer: D. 88
Explanation:
The four numbers are 18, 19, 25, and 26.
Their sum = 18 + 19 + 25 + 26 = 88.
Q. A student thinks of a number x. He subtracts 5, multiplies the result by 4, adds 20, divides by 4, and finally adds 5. What is the final result?
A. x
B. x + 5
C. x + 10
D. 5
Answer: B. x + 5
Explanation:
((4(x − 5) + 20) ÷ 4) + 5
= (4x − 20 + 20) ÷ 4 + 5
= x + 5? Wait carefully.
4x ÷ 4 = x
Then x + 5.
Q. A three-digit number has digits a, b, and c. Which expression represents the sum of the digits?
A. a + b + c
B. 100a + 10b + c
C. 10a + b + c
D. abc
Answer: A. a + b + c
Explanation:
The sum of the digits is obtained by simply adding the three digits.
Q. A number x is doubled, 16 is added, the result is divided by 2, and the original number is subtracted. What is obtained?
A. 4
B. 6
C. 8
D. 16
Answer: C. 8
Explanation:
((2x + 16) ÷ 2) − x
= (x + 8) − x
= 8.
Q. A student thinks of a number x. He adds 12, multiplies the result by 3, subtracts 36, divides by 3, and then subtracts the original number. What is the final result?
A. 0
B. 4
C. 8
D. 12
Answer: D. 12
Explanation:
((3(x + 12) − 36) ÷ 3) − x = (3x ÷ 3) + 12 − x = x + 12 − x = 12.
Q. A two-digit number is represented by 10a + b. If the tens digit is twice the ones digit and the ones digit is x, which expression represents the number?
A. 12x
B. 21x
C. 22x
D. 20x + x
Answer: B. 21x
Explanation:
The tens digit is 2x and the ones digit is x.
Number = 10(2x) + x = 20x + x = 21x.
Q. The sum of three consecutive even numbers is 72. What is the largest number?
A. 22
B. 24
C. 26
D. 28
Answer: C. 26
Explanation:
Let the numbers be x, x + 2, and x + 4.
x + (x + 2) + (x + 4) = 72
3x + 6 = 72
3x = 66
x = 22
Largest number = 22 + 4 = 26.
Q. A number pyramid is formed by adding adjacent numbers. If the bottom row is 3, 5, 2, and 4, what is the topmost number?
A. 27
B. 28
C. 29
D. 30
Answer: B. 28
Explanation:
Second row: 8, 7, 6
Third row: 15, 13
Top = 15 + 13 = 28.
Q. In a 3 × 3 calendar block, the centre number is x. What is the sum of all nine numbers?
A. 9x
B. 9x + 9
C. 9x + 18
D. 9x − 9
Answer: A. 9x
Explanation:
The numbers around the centre increase and decrease equally, so their total is always 9 times the centre number.
Q. A three-digit number is represented by 100a + 10b + c. Which expression represents the number cab?
A. 100c + 10a + b
B. 100b + 10c + a
C. 100c + 10b + a
D. 100a + 10c + b
Answer: A. 100c + 10a + b
Explanation:
In the number cab, c is the hundreds digit, a is the tens digit, and b is the ones digit.
Q. A student thinks of a number x. He multiplies it by 8, adds 32, divides by 4, and subtracts twice the original number. What is the final result?
A. 4
B. 6
C. 8
D. 10
Answer: C. 8
Explanation:
((8x + 32) ÷ 4) − 2x = (2x + 8) − 2x = 8.
Q. The difference between a three-digit number abc and the number cba is:
A. 99(a − c)
B. 9(a − c)
C. 90(a − c)
D. 100(a − c)
Answer: A. 99(a − c)
Explanation:
(100a + 10b + c) − (100c + 10b + a)
= 99a − 99c
= 99(a − c).
Q. The sum of four consecutive integers is 94. What is the smallest integer?
A. 22
B. 23
C. 24
D. 25
Answer: A. 22
Explanation:
Let the four consecutive integers be x, x + 1, x + 2, and x + 3.
Their sum is:
x + (x + 1) + (x + 2) + (x + 3) = 94
4x + 6 = 94
4x = 88
x = 22
Therefore, the four integers are 22, 23, 24, and 25. Hence, the smallest integer is 22.
Q. Which of the following expressions always represents an even number for every whole number n?
A. 2n + 1
B. n + 2
C. 2n
D. 3n + 1
Answer: C. 2n
Explanation:
Any number multiplied by 2 is always even, regardless of the value of n.
Important Points Before Practising MCQs
Before you start solving the questions, quickly revise these important points from Chapter 6 - Algebra Play.
- A variable represents a number whose value can change.
- A two-digit number can be written as 10a + b.
- A three-digit number can be written as 100a + 10b + c.
- Solve every number trick step by step instead of guessing the answer.
- Combine only like terms while simplifying algebraic expressions.
- Check positive and negative signs carefully during calculations.
- Read every question completely before choosing the correct option.
Common Mistakes Students Make in Chapter 6 Algebra Play
Even students who understand the chapter sometimes lose marks because of avoidable mistakes. Knowing these common errors can help you perform better in exams.
- Confusing Variables and Constants: A variable can take different values, while a constant always remains fixed. Mixing these two ideas often leads to incorrect answers.
- Writing the Wrong General Form of a Number: Many students forget that a two-digit number is written as 10a + b and a three-digit number as 100a + 10b + c. Learning these forms is important for solving algebra-based questions.
- Skipping Steps in Number Tricks: Number tricks may look easy, but skipping even one operation can change the final answer. Always solve them one step at a time.
- Combining Unlike Terms: Only like terms can be added or subtracted. Unlike terms should not be combined.
- Ignoring Mathematical Patterns: Questions based on pyramids, calendars, and patterns require careful observation. Rushing through these questions often results in mistakes.
- Sign and Calculation Errors: Simple mistakes with positive and negative signs or basic arithmetic can reduce your score. Recheck your calculations before finalising an answer.
- Reading the Question Too Quickly: Some questions contain important conditions that students overlook. Read every question carefully before selecting an option.
Topics Covered in Chapter 6 Algebra Play
This chapter introduces students to the fun side of algebra through activities, patterns, and logical thinking. While practising the Class 8 Maths Algebra Play Chapter 6 MCQs with Answers, you will revise important concepts such as:
- Variables and constants
- General form of two-digit and three-digit numbers
- Algebraic expressions
- Number tricks
- Mathematical patterns
- Number pyramids
- Calendar puzzles
- Generalisation using algebra
- Logical reasoning
- Problem-solving with algebra
Mastering these topics will help you solve both objective and descriptive questions with greater confidence.
Why Should You Practise These MCQs?
MCQs are one of the easiest ways to check whether you have understood a chapter properly. They test your concepts quickly and help you identify topics that need more revision.
By practising these Class 8 Maths Algebra Play Chapter 6 MCQs with Answers, you can:
- Revise the complete chapter in less time.
- Improve your problem-solving speed.
- Strengthen algebraic thinking.
- Build confidence before school exams.
- Identify weak concepts early.
- Practise questions based on the latest CBSE syllabus.
- Improve accuracy by learning from mistakes.
Regular practice also helps you become more comfortable with different question types that may appear in examinations.
Chapter 6 Algebra Play Preparation Strategy
A good preparation plan can make this chapter much easier. Instead of memorising answers, focus on understanding the concepts and practising regularly.
Start with NCERT Concepts: Read the chapter carefully from Ganita Prakash Part 2 and understand every example before solving practice questions.
Learn the General Forms: Remember the algebraic forms of two-digit and three-digit numbers. These are used in many questions throughout the chapter.
Practise Number Tricks: Solve different number tricks step by step. This improves logical thinking and reduces mistakes.
Solve MCQs Every Day: Practise a few MCQs daily instead of attempting all the questions in one sitting. Regular practice improves both speed and accuracy.
Analyse Your Mistakes: Whenever you answer a question incorrectly, understand the reason behind the mistake. This helps you avoid repeating the same error.
Revise Before the Exam: Before your examination, revise important concepts, formulas, and previously solved MCQs to strengthen your confidence.
