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

How many practice questions are there for A 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.

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

easy

Ayan claims that

7.100

is greater than

7.1

because

100

is greater than

1

. Critique his reasoning.

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easy

Demonstrate how to express 35 paise as rupees using decimal notation.

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easy

The heights of three friends are 1.52 m, 155 cm, and 1.49 m. Arrange their heights in descending order, expressing all heights in meters.

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easy

Explain how to convert 75 millimeters into centimeters.

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easy

A car travels 12.5 km on Monday, 15.75 km on Tuesday, and 9.8 km on Wednesday. Calculate the total distance the car traveled in three days.

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easy

Recall how many millimeters are in one centimeter.

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easy

Define a decimal number.

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easy

Analyze the decimal numbers 4.505 and 4.55 to determine which one is greater.

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easy

Name the symbol used to separate the whole number part from the fractional part in a decimal number.

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easy

Identify the place value of the digit 8 in the number

45.678

.

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easy

Convert the measurement 8 m 5 cm into meters using decimal notation.

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easy

Summarize the relationship between a rupee and paise. Convert 65 paise into rupees.

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easy

Justify whether the statement "A decimal number is always a quantity less than 1" is true or false. Propose a counterexample if it is false.

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medium

Explain how the Indian place value system is extended to represent numbers smaller than one. Describe the relationship between one unit, one-tenth, and one-hundredth.

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medium

Rina is asked to arrange

0.9

,

0.099

, and

1.01

in ascending order. Her answer is

1.01, 0.9, 0.099

. Critique her answer by explaining the correct method of comparison based on place value.

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medium

Design a scenario for a school cafeteria selling three food items: a sandwich, a juice box, and a fruit cup. Create a price for each item (using decimals, e.g., ₹25.50). Your scenario should require a student to buy one of each item, pay with a ₹100 note, and calculate the change received. Present the full problem and its solution.

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medium

Rohan bought a notebook for ₹25.75, a pen for ₹15.50, and an eraser for ₹4.25. If he paid with a ₹50 note, calculate the amount of change he received.

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medium

The perimeter of a triangle is 15.6 cm. If two of its sides measure 5.4 cm and 6.8 cm, calculate the length of the third side.

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medium

Summarize the conversion rules for the following units by stating the relationship and providing an example for each conversion. a) Millimeters to Centimeters b) Centimeters to Meters c) Grams to Kilograms

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medium

From the following list, identify the numbers that are equal in value:

4.8, 4.08, 4.80, 0.48, 4.800

.

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medium

List the place values for the first three digits to the right of the decimal point.

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medium

Design a word problem that requires subtracting decimal numbers to compare the weights of two objects, where borrowing is needed from the units place. Solve the problem you designed.

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medium

Describe the steps to compare the decimal numbers

8.45

and

8.41

.

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medium

Calculate the value of

15.01 - 9.1

.

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medium

Explain how to express 250 grams in kilograms using decimal notation.

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medium

A shopkeeper's bill shows an item for ₹25.75 and another for ₹15.5. He manually calculates the total as ₹40.80. Critique his calculation by identifying the place value error.

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medium

Describe how to write the number

54.321

in expanded form.

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medium

Analyze the sequence:

3.2, 3.5, 3.8, \dots

and determine the next term.

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medium

Create a decimal number using the digits 3, 0, 5, and 9 exactly once, such that the number is greater than 3.5 but less than 3.9.

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medium

A water tank has a capacity of 200 liters. It already contains 85.75 liters of water. An additional 45.5 liters of water is poured into it. Later, 62.8 liters of water is used for gardening. Calculate the quantity of water remaining in the tank.

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medium

Formulate a step-by-step procedure to convert a measurement given in millimeters (mm) to kilometers (km). Use your procedure to convert

5,678

mm to km.

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medium

The daily rainfall in a city for three consecutive days was recorded as 12.5 mm, 8.7 mm, and 15.3 mm. Calculate the total rainfall over the three days in centimeters.

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medium

A tailor has

12.5

meters of fabric. He needs to cut two pieces: one of length

5.75

m and another of length

6.9

m. He estimates the total required length by rounding each measurement to the nearest whole number and concludes he has enough fabric. Evaluate his estimation method and justify whether his conclusion is correct using exact calculations.

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medium

Evaluate the claim: "When you convert a length from centimeters to meters, the numerical value of the measurement always becomes smaller." Justify your conclusion.

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medium

A tailor has a piece of cloth measuring 10 m. He uses 3.45 m for a shirt and 4.8 m for trousers. Calculate the length of the cloth that is left.

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hard

Justify why the standard algorithm for subtracting whole numbers works for decimals. Use the example

15.2 - 8.7

to explain the 'borrowing' process in terms of place value (tenths and units).

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hard

Explain why

0.6

is equal to

0.60

.

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hard

The text mentions that in cricket, '5.5 overs' means 5 overs and 5 balls, not

5 \frac{1}{2}

overs. Evaluate why a base-6 system (for balls) is used after the decimal point instead of a standard base-10 decimal system. Then, create a similar 'non-decimal' system for representing hours and minutes (1 hour = 60 minutes). Propose how you would write '2 hours and 30 minutes' and '1 hour and 15 minutes' in your system and calculate their sum using your notation.

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hard

Formulate a general rule to find a decimal number that lies exactly halfway between any two given decimal numbers, 'a' and 'b'. Justify your rule using the concept of an average. Apply your rule to find the number exactly halfway between (i)

2.8

and

2.9

, and (ii)

4.55

and

4.56

.

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hard

Describe the procedure for adding two decimal numbers, for example,

27.45 + 8.9

. Use a place value table to illustrate your explanation and explain the concept of regrouping (carrying over).

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hard

The table shows the weight of different fruits in a basket.

Fruit	Weight (kg)
Apples	1.25
Bananas	0.85
Grapes	0.6
Oranges	1.05
Analyze the data and solve the following:
(a) Calculate the total weight of all the fruits.
(b) Examine how much the combined weight of apples and oranges is greater than the combined weight of bananas and grapes.
(c) If the empty basket weighs 0.45 kg, calculate the total weight of the basket with all the fruits.

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hard

Using the digits 7, 2, 9, and 4 exactly once, form the largest and smallest possible decimal numbers with two decimal places. Then, solve for the difference between them.

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hard

Using the digits 1, 4, 6, and 9 exactly once, create two decimal numbers, one in the format

X.X

and the other in

X.X

, whose sum is the largest possible value. Justify your placement of the digits.

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hard

A sequence is generated starting with the number

20.0

. The rule to get the next term is: "Subtract

2.5

, then add

0.25

." Formulate the first five terms of this sequence and propose what the tenth term might be.

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hard

Sunita went to the market with ₹500. She purchased 2.5 kg of potatoes at ₹22.50 per kg, 1.5 kg of tomatoes at ₹40.80 per kg, and 0.5 kg of onions at ₹35.00 per kg. Calculate the total amount she spent and the money she has left.

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A Peek Beyond the PointClass 7 Mathematics Practice Questions