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Class 7 Maths Chapter 6: Number Play Important Questions by PW

Revise Class 7 Maths Chapter 6: Number Play Important Questions through practice on divisibility, number patterns, parity, prime numbers, magic squares, and cryptarithms. The questions help you test number properties, recognise sequences, solve logical problems, and apply mathematical reasoning while revising the chapter.
authorImageNeha Tanna23 Sept, 2026
Important Questions for Class 7 Maths Chapter 6

Numbers can behave differently depending on the patterns and properties involved, making some questions harder to solve than they first appear. Divisibility rules, odd and even numbers, prime numbers, sequences, and magic squares require you to identify the right pattern or rule before reaching an answer. Cryptarithms can be particularly challenging because each letter represents a different digit and requires logical thinking.

The Class 7 Maths Chapter 6 Important Questions provide practice on Number Play through MCQs and reasoning-based problems. You can use these questions to revise number properties, identify patterns, solve magic squares, work with sequences, and strengthen your problem-solving skills.

Important Questions for Class 7 Maths Chapter 6 Number Play

Work through these Class 7 Maths Chapter 6 Important Questions to explore number patterns, divisibility, odd-even properties, magic squares, sequences, and other concepts covered in Number Play.

Q1. Divisibility

Which of the following is divisible by 6?

(A) 20
(B) 24
(C) 25
(D) 27

Answer: (B) 24

Q2. Odd Numbers

What is the formula to find the nth odd number?

(A) n²
(B) 2n + 1
(C) 2n − 1
(D) n + 2

Answer: (C) 2n − 1

Q3. Magic Squares

What property must all magic squares satisfy?

(A) Equal diagonals
(B) Even numbers
(C) Balanced sums across rows, columns, and diagonals
(D) Prime numbers only

Answer: (C) Balanced sums across rows, columns, and diagonals

Q4. Number Sequence

What are the next three numbers in the sequence?

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ......, ?

(A) 145, 234, 379
(B) 144, 233, 377
(C) 144, 222, 400
(D) 144, 233, 456

Answer: (B) 144, 233, 377

Q5. Consecutive Odd Numbers

What is the difference between two consecutive odd numbers?

(A) 1
(B) 2
(C) 3
(D) 4

Answer: (B) 2

Q6. Cryptarithm

In the following cryptarithm, each letter represents a unique digit from 0 to 9. Find the digits that correspond to T and U.

     T

      T

    + T

    ----

     U T

(A) T = 4, U = 2
(B) T = 6, U = 2
(C) T = 3, U = 7
(D) T = 5, U = 1

Answer: (B) T = 6, U = 2

Q7. Prime Numbers

Pick the prime number from the list:

(A) 39
(B) 51
(C) 29
(D) 77

Answer: (C) 29

Q8. Even and Odd Numbers

The product of an even and an odd number is always:

(A) Odd
(B) Even
(C) Prime
(D) Cannot say

Answer: (B) Even

Q9. Sum of Odd Numbers

The sum of two odd numbers is always ______.

(A) Odd
(B) Even
(C) Prime
(D) Cannot say

Answer: (B) Even

Q10. Sum of Even and Odd Numbers

The sum of an even and an odd number is always ______.

(A) Odd
(B) Even
(C) Prime
(D) Cannot say

Answer: (A) Odd

Q11. Magic Square

What is the average of all numbers in a 3 × 3 magic square using 1–9?

(A) 4.5
(B) 5
(C) 5.5
(D) 6

Answer: (B) 5

Q12. Divisibility by 3

Which of the following numbers is divisible by 3?

(A) 1247
(B) 2481
(C) 6427
(D) 4805

Answer: (B) 2481

Q13. Row and Column Sums

Which of the following statements is true about the sum of all row sums or column sums in a 3 × 3 grid filled with numbers from 1 to 9?

(A) The sum of all rows is 45.
(B) The sum of all rows is 90.
(C) The sum of all columns is 90.
(D) Both row sums and column sums add to 45.

Answer: (A) The sum of all rows is 45.

Q14. 4 × 4 Magic Square

The sum of the two diagonals in a 4 × 4 magic square is:

(A) 35 total
(B) 68 total
(C) 136 total
(D) 156 total

Answer: (C) 136 total

Q15. Coins and Odd-Even Numbers

Lakpa has an odd number of Rs. 1 coins, an odd number of Rs. 5 coins, and an even number of Rs. 10 coins in his piggy bank. He added them up and got Rs. 205. Did Lakpa make a mistake?

(A) Yes, because the total amount cannot be Rs. 205.
(B) No, the total amount can be Rs. 205.
(C) Yes, because he cannot have an odd number of Rs. 1 and Rs. 5 coins.
(D) No, he cannot have any Rs. 10 coins.

Answer: (B) No, the total amount can be Rs. 205.

Class 7 Maths Chapter 6 Important Questions PDF

The Class 7 Maths Chapter 6 Important Questions PDF gives you additional questions to practise Number Play and apply its concepts independently. It includes problems on divisibility, number patterns, odd and even numbers, prime numbers, magic squares, sequences, and cryptarithms.

Class 7 Maths Chapter 6 Important Questions PDF

What Can You Learn from Class 7 Maths Chapter 6 Important Questions by PW?

Class 7 Maths Chapter 6 Important Questions by PW helps you explore Number Play through conceptual, pattern-based, and reasoning-focused practice.

  • Apply Divisibility Tests: Check whether numbers satisfy divisibility rules for different numbers.

  • Explore Odd and Even Numbers: Identify how odd and even numbers behave under addition and multiplication.

  • Continue Number Sequences: Observe patterns and determine the terms that follow.

  • Identify Prime Numbers: Distinguish prime numbers from composite numbers using their factors.

  • Work with Magic Squares: Examine number arrangements where specified rows, columns, and diagonals have equal sums.

  • Solve Cryptarithms: Assign digits to letters and use logical reasoning to find unknown values.

  • Use Number Properties: Apply rules and patterns to solve different numerical situations.

  • Develop Logical Thinking: Work through varied questions that require observation, calculation, and reasoning.

Number Play encourages you to look for patterns, relationships, and rules within numbers. The Class 7 Maths Chapter 6 Important Questions offer practice with divisibility, sequences, prime numbers, odd-even properties, magic squares, and cryptarithms, helping you apply these concepts while revising the chapter and preparing for school assessments.

Important Questions for Class 7 Maths Chapter 6 FAQs

What is the concept of properties of triangle?

A triangle has three sides, three angles, and three vertices. The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle. The sum of the length of any two sides of a triangle is greater than the length of the third side.

What do triangles have in common?

For example, all triangles have three sides and three angles, the sum of the interior angles is always 180°, and the sum of the length of two sides of a triangle is always greater than the length of the third side.

What is the basic concept of a triangle?

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.

What is the property of triangle based on side?

The sum of the length of the two sides of a triangle is greater than the length of the third side.
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