Are these practice questions for Another Peek Beyond the Point 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 Another Peek Beyond the Point 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 Another Peek Beyond the Point 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 Another Peek Beyond the Point for full coverage.

How many practice questions are there for Another Peek Beyond the Point?

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

Another Peek Beyond the Point Class 7 Mathematics Practice Questions with Answers

easy

Create a realistic word problem involving the multiplication of a decimal number (with two decimal places) by another decimal number (with one decimal place), such that the final product is a whole number. Provide the full solution.

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easy

Calculate the product:

2.45 \times 1000

.

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easy

Evaluate the statement: "The product of two decimal numbers, each less than 1, is always less than both of the original numbers." Justify your answer with an example.

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easy

State the rule for multiplying any decimal number by 100.

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easy

Define a decimal fraction.

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easy

Solve:

135.8 \div 100

.

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easy

Recall what happens to the position of the decimal point when a number is divided by 1000.

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easy

List the decimal equivalents for the following fractions:

\frac{7}{10}

,

\frac{23}{100}

, and

\frac{5}{1000}

.

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easy

A ribbon of length

15.75

m is cut into

7

equal pieces. What is the length of each piece?

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easy

Justify why dividing a number by

100

produces the same result as multiplying it by

0.01

.

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easy

Identify the place value of the digit 7 in the number

54.372

.

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easy

A rectangular park is

45.5

m long and

20.2

m wide. Calculate the area of the park.

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easy

Convert the fraction

\frac{9}{1000}

to its decimal form.

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medium

Describe the steps to find the product of

3.2 \times 0.4

.

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medium

Express the fraction

\frac{17}{8}

in its decimal form.

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medium

Two methods are proposed to solve

7.2 \div 0.04

.

Method A: Convert to fractions: $\frac{72}{10} \div \frac{4}{100}$ .
Method B: Shift decimals: $\frac{7.2 \times 100}{0.04 \times 100} = \frac{720}{4}$ . Evaluate both methods by solving the problem with each. Which method do you find more direct and why?

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medium

Describe the decimal place value system. For the number

36.819

, explain what each digit to the right of the decimal point represents.

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medium

The area of a rectangular painting is

2.88 \text{ m}^2

. Propose two different pairs of possible dimensions (length and breadth in metres) for the painting, where both dimensions are decimal numbers.

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medium

A student states, "Dividing a number by a decimal always makes the result larger than the original number." Critique this statement. Is it always true, sometimes true, or never true? Provide examples to support your critique.

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medium

Write the decimal number

47.205

in expanded form as a sum of fractions.

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medium

A student solved

4.2 \times 0.03

and got the answer

1.26

. Critique the student's answer and explain the error in their reasoning.

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medium

Design a word problem about planning a school event. The problem must require a student to perform both a decimal division and a decimal multiplication to find the final answer. The scenario should be realistic and all necessary values must be provided. Solve the problem you have designed.

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medium

Summarize the rules for multiplying and dividing a decimal number by powers of 10 (10, 100, 1000). Provide one example for multiplication and one for division using the number

52.84

.

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medium

Mr. Sharma bought

12.5

litres of petrol for his car at ₹

96.80

per litre. He also bought

3.5

kg of apples at ₹

120.40

per kg. If he gave the cashier two ₹

1000

notes, how much change should he receive?

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medium

Sunita bought

3.5

kg of onions at ₹

24.50

per kg and

2.25

kg of tomatoes at ₹

40.00

per kg. Calculate the total amount she spent.

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medium

Without performing the complete division, justify whether the quotient of

45.15 \div 0.15

is the same as the quotient of

451.5 \div 1.5

.

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medium

Calculate the product of

0.07

and

0.6

.

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medium

Given that

24 \times 13 = 312

, explain how you can find the product of

2.4 \times 1.3

without performing the full multiplication again.

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medium

Summarize the rule for dividing a decimal number by a whole number, using

15.5 \div 5

as an example.

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medium

A car consumes

8.5

litres of petrol to travel

153

km. How many kilometres can it travel on

1

litre of petrol?

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medium

A shop sells two sizes of juice. A

0.35

litre bottle costs ₹28 and a

0.5

litre bottle costs ₹35. Evaluate which bottle is a better value for money and justify your conclusion.

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medium

If

145 \times 32 = 4640

, analyze and find the value of

1.45 \times 3.2

.

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medium

The side of a regular hexagon is

7.2

cm. Calculate its perimeter.

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medium

Explain how to express 75 grams in kilograms, showing the conversion first as a fraction and then as a decimal.

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hard

Using the digits 2, 3, 5, and 8 exactly once, formulate a multiplication of the form

\square.\square \times \square.\square

that yields the maximum possible product. Justify your placement of the digits.

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hard

Explain the complete procedure for dividing a decimal number by another decimal number. Use the problem

15.75 \div 0.25

to illustrate the steps.

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hard

Justify why the decimal representation of

\frac{2}{7}

must be a repeating decimal by analyzing the possible remainders during the long division of

2 \div 7

.

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hard

Analyze the following and find the missing number:

43.2 \div \_\_\_\_ = 0.0432

.

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hard

Explain what happens to the product when a number greater than 1 is multiplied by a number between 0 and 1. Use the example

12 \times 0.5

.

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hard

A baker uses

0.375

kg of flour to bake one cake. He has a large sack containing

15

kg of flour. (a) Calculate the maximum number of full cakes he can bake. (b) After baking the maximum number of cakes, calculate how much flour will be left over.

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hard

The actual length of a year is approximately

365.2422

days. The Gregorian calendar uses the following rule for leap years: a year is a leap year if it is divisible by 4, except for years divisible by 100 unless they are also divisible by 400.

Formulate an expression for the average number of days in a year over a 400-year cycle according to this rule.
Evaluate this average.
Justify how well this system approximates the actual length of a year by calculating the difference.

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hard

Based on the calculation

15.6 \div 1.2 = 13

, formulate a general rule about how the decimal point in the dividend and divisor can be shifted without changing the quotient.

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hard

A pile of 25 identical cardboard sheets has a thickness of

4.75

cm. Calculate the thickness of a single sheet in millimetres.

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hard

Create a multi-step word problem where a shopkeeper mixes three items to sell. Your problem must require a student to:

Calculate the total cost of the mixture using decimal multiplication.
Calculate the cost per kilogram of the mixture using decimal division.
Propose a selling price per kg to achieve a specific decimal profit amount. Provide a full solution to the problem you have created.

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hard

A courier company charges ₹

32.50

for the first kilogram and ₹

15.75

for each additional kilogram or part thereof. A person sends a parcel weighing

4.8

kg. Analyze the cost structure and calculate the total charge.

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Another Peek Beyond the PointClass 7 Mathematics Practice Questions