Are these practice questions for Number Play based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 7 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Number Play free?

Yes. Every chapter includes free practice questions for Class 7 students to get you started.

What types of questions are included?

The practice set for Number Play mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Number Play for full coverage.

How many practice questions are there for Number Play?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Number Play Class 7 Mathematics Practice Questions with Answers

easy

Describe the rule used by the children in the textbook to call out numbers based on their height arrangement. Explain what the number '0' signifies according to this rule.

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easy

Define a magic square.

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easy

Without performing the multiplication, analyze and determine the parity of the number of small squares in a grid with dimensions

203 \times 457

.

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easy

Propose one algebraic expression that always generates an even number and another that always generates an odd number, for any positive integer

k

. Demonstrate that each expression works for

k=4

and

k=7

.

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easy

Solve the cryptarithm where each letter represents a unique digit. Find the values of A and B.

& 4 & A \ + & B & 5 \ \hline & 9 & 1 \ \end{array}$$

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easy

In the Virahāṅka-Fibonacci sequence, the 14th term is 377 and the 15th term is 610. Calculate the 16th term in the sequence.

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easy

Calculate the parity (even or odd) of the result of the following sum: The sum of 13 distinct odd numbers and 20 distinct even numbers.

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easy

Define an even number.

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easy

A student claims that to find the parity of a product of integers, you only need to know if at least one of the integers is even. Critique this claim and justify your reasoning.

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easy

What is the rule to find the next number in the Virahāṅka-Fibonacci sequence?

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easy

Identify the parity (even or odd) of the sum of two odd numbers.

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medium

Summarize the rules for the parity of the result for the following operations. Provide one example for each rule. (a) even + odd (b) odd + odd (c) even

\times

odd (d) odd

\times

odd (e) even

\times

even

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medium

A shopkeeper has an even number of 500-gram weights and an odd number of 200-gram weights. Analyze if the total weight can be exactly 3000 grams. Justify your answer using parity.

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medium

Analyze the parity of the terms in the Virahāṅka-Fibonacci sequence (

1, 2, 3, 5, 8, \dots

). Describe the repeating pattern of parities and use it to determine the parity of the 30th term in the sequence.

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medium

List three key observations made about a

3 \times 3

magic square that uses the numbers 1 to 9.

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medium

Explain why the expression

2n-1

always represents an odd number for any positive integer

n

.

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medium

The pages of a book are numbered from 1 to 250. Analyze if the sum of all these page numbers is an even number or an odd number. Justify your conclusion using parity rules without calculating the actual sum.

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medium

Critique the following statement: "In the 'taller people in front' game with 10 people, if a person says '9', they must be the shortest person in the entire group." Justify your evaluation.

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medium

Design a height arrangement for 6 children where the sequence of numbers they call out is

0, 1, 0, 2, 1, 0

. The rule is: "each child calls out the number of children in front of them who are taller than them." Represent the children's heights with relative numbers 1 (shortest) to 6 (tallest).

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medium

The first few numbers in the Virahāṅka-Fibonacci sequence are

1, 2, 3, 5, 8, \ldots

. List the next four numbers in the sequence and describe the pattern of their parities (odd/even).

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medium

Evaluate whether a

3 \times 3

magic square can be constructed using nine distinct positive even numbers. Justify your reasoning without attempting to construct one.

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medium

A child is climbing a staircase with 6 steps. At each move, the child can choose to climb either 1 step or 2 steps. Calculate the total number of different ways the child can reach the top of the 6-step staircase.

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medium

Evaluate the following scenario: A piggy bank contains an odd number of ₹1 coins, an odd number of ₹5 coins, and an odd number of ₹10 coins. Is it possible for the total value of the money to be exactly ₹200? Justify your answer using parity.

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medium

Create a

3 \times 3

magic square using the nine consecutive odd numbers from 3 to 19. Justify your method for determining the magic sum, and then construct the square.

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medium

Explain why the sum of an odd number of odd numbers is always odd.

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medium

A standard

3 \times 3

magic square is created using the numbers 1 to 9. A new grid is then formed by applying two sequential operations to each number in the square: first, multiply every number by 3, and then add 5 to each result. Analyze if this new grid is also a magic square. If it is, calculate its new magic sum.

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medium

Critique the claim: "The difference between any two prime numbers is always even." Propose a corrected version of the claim if necessary.

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medium

Analyze the expression

8m + 3

. Determine if its value is always even, always odd, or can be either, for any whole number

m

.

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medium

Explain the systematic process discussed in the text to determine the magic sum of a

3 \times 3

magic square using numbers from 1 to 9. Also, explain why the sum of all row sums is 45.

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medium

Solve the cryptarithm SO + SO = TOO. Each letter represents a unique digit from 0-9. Justify each step of your logical deduction.

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medium

Create a

3 \times 3

magic square using the nine consecutive numbers from 3 to 11. First, calculate the magic sum, then construct the grid.

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medium

A 'Tribonacci' sequence is formed where each term is the sum of the three preceding terms. Formulate the first 8 terms of this sequence if it starts with

1, 2, 3

. Then, evaluate and describe the parity pattern (odd/even) you observe in the first 8 terms.

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medium

Four children are standing in a line from front to back. Their heights are 155 cm, 140 cm, 160 cm, and 150 cm. Apply the rule 'each child says the number of children in front of them who are taller'. What number does the fourth child in the line say?

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medium

What is the general formula used to represent any even number?

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hard

Create your own valid addition cryptarithm puzzle where two 2-digit numbers sum to a 3-digit number. It must use at least four different letters and have a unique solution. Provide the puzzle, its unique solution, and a brief justification for why the solution is unique.

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hard

Summarize the historical discovery of the Virahāṅka-Fibonacci numbers. Name at least two scholars mentioned in the text who studied these numbers and describe the context (poetry) in which they were discovered.

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hard

Formulate a new, original rule for the "Numbers Tell Us Things" game. Then, create an arrangement of 6 children (with unique heights 1 to 6) and determine the sequence of numbers they would call out based on your new rule. Justify that your generated sequence is correct for the arrangement.

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hard

Describe how to determine the parity of the total number of small squares in a grid with dimensions

m \times n

without calculating the product

m \times n

.

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hard

Draw a possible arrangement of 5 stick figures of distinct heights that results in the sequence

0, 1, 2, 0, 1

. The sequence is based on the rule where each person calls out the number of people standing in front of them who are taller.

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hard

The Virahāṅka-Fibonacci sequence is

1, 2, 3, 5, 8, ...

. Justify whether the 30th term in this sequence will be odd or even, without calculating the term.

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hard

A proposed method for creating new magic squares is to apply a mathematical operation to every cell of a known magic square. Evaluate this method by performing two separate transformations on a standard 1-9 magic square (the Lo Shu square is provided below).

a) Multiply every number by 3, then subtract 2. b) Square every number.

For each case, justify whether the resulting grid is a new magic square. If it is, formulate a rule for the new magic sum based on the original magic sum (

M_{old} = 15

).

Lo Shu Square:

\begin{vmatrix} 2 & 7 & 6 \ 9 & 5 & 1 \ 4 & 3 & 8 \end{vmatrix}

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hard

A circular path has 10 lampposts, all initially OFF. A person starts at lamppost 1 and walks around the circle, flipping the switch of every lamppost they pass (1, 2, ..., 10, 1, 2, ...). They make a total of 33 switch flips. Evaluate which lampposts will be ON at the end and justify your reasoning.

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hard

Kishor's puzzle involves placing 5 number cards, all with odd numbers, into 5 boxes so they sum to 30. Explain, using the concept of parity, why this puzzle is impossible to solve.

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hard

Kishor's puzzle (5 odd number cards summing to 30) was impossible. Propose a single, simple change to one of the puzzle's conditions (the number of boxes, the type of cards, or the target sum) that makes it solvable. Provide one example solution for your modified puzzle.

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hard

Solve the cryptarithm A B \times C = D E B, where each letter represents a different digit from 0-9. The letters A and D cannot be 0. Find one possible set of values for A, B, C, D, and E.

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Number PlayClass 7 Mathematics Practice Questions