Class 8 Mathematics Chapter 6: Algebra Play — practice questions with answers
Free practice for Class 8 Mathematics, Chapter 6: Algebra Play. Try the solved questions below, then take a free test with instant marking and explanations.
46 questions14 easy, 20 medium, 12 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. ‘Think of a number, double it, add 4, divide by 2, subtract the original.’ What is the final answer?
Show answer
Answer: 2 (± 0)
Why: (2x + 4)/2 − x = x + 2 − x = 2. [p.135]
Why: (2x + 4)/2 − x = x + 2 − x = 2. [p.135]
Q2. In a number pyramid, each box is the sum of the two boxes below it. If the bottom row is a, b, what is the top?
- a + b
- a × b
- 2a + b
- a − b
Show answer
Answer: A. a + b
Why: The simplest pyramid has two boxes below. [p.139]
Why: The simplest pyramid has two boxes below. [p.139]
Q3. In a 2 × 2 calendar grid with top-left number a, what are the four numbers?
- a, a + 1, a + 7, a + 8
- a, a + 1, a + 2, a + 3
- a, a + 7, a + 14, a + 21
- a, 2a, 3a, 4a
Show answer
Answer: A. a, a + 1, a + 7, a + 8
Why: The row below is a week (7 days) later. [p.141]
Why: The row below is a week (7 days) later. [p.141]
Q4. In an algebra grid, three equal shapes add up to 27. What is the value of one shape?
Show answer
Answer: 9 (± 0)
Why: 3 × shape = 27 → shape = 9. [p.142]
Why: 3 × shape = 27 → shape = 9. [p.142]
Q5. In the next row, two equal shapes plus 9 make 19. What is each of those shapes?
Show answer
Answer: 5 (± 0)
Why: 2 × shape + 9 = 19 → shape = 5. [p.142]
Why: 2 × shape + 9 = 19 → shape = 5. [p.142]
Q6. For 72, the reversal difference is 72 − 27. What is the quotient when it is divided by 9?
Show answer
Answer: 5 (± 0)
Why: 45 ÷ 9 = 5 = 7 − 2, the difference of the digits. [p.145]
Why: 45 ÷ 9 = 5 = 7 − 2, the difference of the digits. [p.145]
Practise all 46 questions free
Timed test, marked instantly, with the correct answer and explanation for every question and a chapter-wise report.
Start the free testUnderstand it by doing
Try the interactive Maths Lab for Class 8.
Frequently asked questions
How many practice questions are there for Class 8 Mathematics Chapter 6: Algebra Play?
46 questions (14 easy, 20 medium, 12 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 8 Mathematics syllabus, used by CBSE and many state boards.