The CBSE Board Class 7 Maths Chapter 3 - A Peek Beyond the Point introduces students to decimal numbers, their representation, comparison, and everyday applications. Understanding these concepts is essential for solving mathematical problems accurately and building a strong foundation for higher classes.
This page provides carefully selected MCQs based on the latest CBSE Board curriculum to help students revise the chapter in less time while improving conceptual understanding. These questions are designed for school exams, class tests, unit tests, and annual examinations.
If you're looking for Class 7 MCQs that are aligned with the NCERT syllabus, these practice questions offer an effective way to assess your preparation. Along with these Class 7 Maths MCQs, you'll also find a quick chapter revision, important concepts, commonly tested rules, and answers that help you identify mistakes instantly. Practice regularly to strengthen your confidence and improve your exam performance.
Class 7 Maths Chapter 3 MCQs with Answers and Explanations
Practice these Class 7 Maths Chapter 3 A Peek Beyond the Point MCQs with Answers to revise important decimal concepts, improve conceptual clarity, and prepare for CBSE exams. Each MCQ includes the correct answer and a concise explanation to help you learn faster and score better in your school assessments.
Q. Which decimal represents 468 hundredths?
A. 46.8
B. 4.068
C. 4.68
D. 0.468
Answer: C
Explanation:
A hundredth means one part out of 100. To write 468 hundredths as a decimal, divide 468 by 100, giving 4.68. Remember that moving the decimal point two places to the left converts hundredths into decimal form. Understanding place value is essential for reading and writing decimals correctly.
Q. Which of the following decimals is the greatest?
A. 5.709
B. 5.79
C. 5.7098
D. 5.719
Answer: B
Explanation:
When comparing decimals, first compare the whole number part. Since all numbers have 5 as the whole part, compare the digits after the decimal. The tenths digit is the same, so move to the hundredths place. Here, 5.79 is equivalent to 5.790, making it greater than the others.
Q. What is the sum of 7.36 and 2.45?
A. 9.71
B. 9.81
C. 8.91
D. 10.11
Answer: B
Explanation:
Decimal addition follows the same rules as whole numbers, but the decimal points must be aligned vertically. Adding 7.36 and 2.45 gives 9.81. Always check that each place value tenths and hundredths is added correctly to avoid calculation mistakes.
Q. Which fraction is equivalent to 0.25?
A. 5/20
B. 1/5
C. 1/4
D. 2/5
Answer: C
Explanation:
The decimal 0.25 represents twenty-five hundredths, or 25/100. Simplifying this fraction by dividing both numerator and denominator by 25 gives 1/4. Converting between decimals and fractions helps students understand different representations of the same value.
Q. Which decimal is correctly placed between 3.4 and 3.5?
A. 3.52
B. 3.46
C. 3.39
D. 3.58
Answer: B
Explanation:
A decimal lying between 3.4 and 3.5 must be greater than 3.40 but less than 3.50. Among the options, 3.46 satisfies this condition. Visualizing the number line is a useful strategy for checking whether a decimal falls within a given interval.
Q. Riya bought a notebook for ₹125.75 and a pen for ₹18.25. What was the total amount she spent?
A. ₹143.00
B. ₹144.00
C. ₹144.25
D. ₹143.50
Answer: B
Explanation:
Money calculations often involve decimal addition. Adding ₹125.75 and ₹18.25 gives ₹144.00. Notice that 75 paise and 25 paise together make one full rupee, which is carried over to the whole number part during addition.
Q. Which statement about 0.500 is correct?
A. It is greater than 0.5.
B. It is smaller than 0.5.
C. It is equal to 0.5.
D. It cannot be compared with 0.5.
Answer: C
Explanation:
Adding zeros to the right of a decimal does not change its value. Therefore, 0.500, 0.50, and 0.5 all represent the same quantity. These trailing zeros only make the place value more explicit without affecting the number itself.
Q. Which decimal is the smallest?
A. 0.402
B. 0.42
C. 0.39
D. 0.405
Answer: C
Explanation:
Although all numbers begin with zero, the comparison depends on the digits after the decimal point. Since 0.39 has only 39 hundredths while the others are 40 hundredths or more, it is the smallest. Comparing place values carefully prevents common errors.
Q. What is 4.8 - 2.35?
A. 2.35
B. 2.45
C. 2.55
D. 2.65
Answer: B
Explanation:
Rewrite 4.8 as 4.80 so that both numbers have the same number of decimal places. Then subtract column by column to get 2.45. Writing equivalent decimals before subtraction makes calculations easier and reduces mistakes.
Q. Which decimal correctly represents 9 metres 35 centimetres?
A. 9.035 m
B. 9.35 m
C. 9.0035 m
D. 9.53 m
Answer: B
Explanation:
Since 100 centimetres make 1 metre, 35 centimetres equals 0.35 metre. Adding this to 9 metres gives 9.35 metres. Understanding unit conversions helps students apply decimals accurately in everyday measurement problems.
Q. Which decimal is equal to 8 tenths and 6 hundredths?
A. 8.60
B. 0.86
C. 8.06
D. 0.806
Answer: B
Explanation:
A decimal is built using place values. Eight tenths means 0.8, and six hundredths means 0.06. Adding them gives 0.86. Reading decimals by combining place values helps you write and interpret numbers accurately in mathematical and real-life situations.
Q. Which of the following is arranged in ascending order?
A. 2.51, 2.49, 2.5, 2.58
B. 2.49, 2.5, 2.51, 2.58
C. 2.58, 2.51, 2.5, 2.49
D. 2.5, 2.58, 2.49, 2.51
Answer: B
Explanation:
Ascending order means arranging numbers from the smallest to the largest. Compare the decimal digits one place at a time after confirming the whole number parts are equal. This systematic approach avoids confusion when numbers look very similar.
Q. What is the decimal form of 9/100?
A. 0.9
B. 9.0
C. 0.09
D. 0.009
Answer: C
Explanation:
The denominator tells us the place value. Since the denominator is 100, the numerator is written in the hundredths place. Therefore, 9/100 = 0.09. Recognizing this relationship makes fraction-to-decimal conversions much easier.
Q. Aman walked 2.75 km in the morning and 1.25 km in the evening. How far did he walk in total?
A. 3.90 km
B. 4.00 km
C. 4.20 km
D. 3.75 km
Answer: B
Explanation:
Adding decimal distances follows the same method as adding whole numbers, provided the decimal points are aligned. Here, 2.75 + 1.25 = 4.00 km. Notice that 75 hundredths and 25 hundredths together make one complete unit.
Q. Which digit is in the hundredths place in the number 14.582?
A. 8
B. 5
C. 2
D. 4
Answer: A
Explanation:
The first digit after the decimal is the tenths place, the second is the hundredths place, and the third is the thousandths place. In 14.582, the digit 8 is in the hundredths position, showing eight hundredths.
Q. Which statement is correct about 6.70 and 6.7?
A. 6.70 is greater.
B. 6.7 is greater.
C. Both decimals are equal.
D. They cannot be compared.
Answer: C
Explanation:
Trailing zeros after the last non-zero digit do not change a decimal's value. Therefore, 6.70 and 6.7 represent exactly the same quantity. Understanding equivalent decimals helps when comparing numbers and solving measurement or money problems.
Q. A bottle contains 3.5 litres of juice. If 1.25 litres are used, how much juice remains?
A. 2.15 litres
B. 2.25 litres
C. 2.35 litres
D. 2.45 litres
Answer: B
Explanation:
To find the remaining quantity, subtract the amount used from the total amount. Writing 3.5 as 3.50 makes the subtraction straightforward. After subtracting 1.25, the remaining juice is 2.25 litres.
Q. Which decimal is nearest to 7?
A. 6.91
B. 6.99
C. 7.18
D. 6.82
Answer: B
Explanation:
A number closest to 7 has the smallest difference from it. 6.99 is only 0.01 less than 7, making it nearer than the other options. Thinking about the distance between numbers is an effective way to compare their closeness.
Q. Which of the following decimals has the greatest number of thousandths?
A. 3.214
B. 3.219
C. 3.205
D. 3.211
Answer: B
Explanation:
Since the whole number, tenths, and hundredths digits are the same or very close, compare the thousandths digit. The thousandths digit in 3.219 is 9, which is greater than the thousandths digits in the other options. This makes it the largest decimal.
Q. Which decimal correctly represents 450 grams in kilograms?
A. 4.50 kg
B. 0.045 kg
C. 0.45 kg
D. 45.0 kg
Answer: C
Explanation:
There are 1000 grams in 1 kilogram. To convert grams into kilograms, divide by 1000. Thus, 450 g = 450 ÷ 1000 = 0.45 kg. Unit conversions involving decimals are frequently used in science, mathematics, and daily life.
Q. Which decimal is equivalent to 42 thousandths?
A. 0.042
B. 0.42
C. 4.2
D. 0.402
Answer: A
Explanation:
The word thousandths means the denominator is 1000. Therefore, 42 thousandths is written as 42/1000, which equals 0.042. Paying attention to place values helps you distinguish between tenths, hundredths, and thousandths without confusion.
Q. What is 15.25 + 3.75?
A. 18.90
B. 19.00
C. 19.50
D. 18.75
Answer: B
Explanation:
When adding decimals, align the decimal points before performing the calculation. Here, 15.25 + 3.75 = 19.00 because 25 hundredths and 75 hundredths combine to make one whole. This carrying process works just like addition with whole numbers.
Q. Which number comes immediately after 4.099 on the number line?
A. 4.100
B. 4.009
C. 4.090
D. 4.101
Answer: A
Explanation:
The decimal 4.100 is equal to 4.1 and is greater than 4.099 by one thousandth. Understanding how decimals increase by small place-value changes is useful while comparing numbers and locating them on a number line.
Q. A rope is 8.6 metres long. If 2.85 metres are cut off, what length remains?
A. 5.65 m
B. 5.75 m
C. 5.85 m
D. 6.45 m
Answer: B
Explanation:
Subtract the cut length from the total length after writing 8.6 as 8.60. Performing 8.60 − 2.85 gives 5.75 metres. Using equivalent decimals ensures that digits of the same place value are aligned correctly during subtraction.
Q. Which decimal is not equal to the others?
A. 7.50
B. 7.500
C. 7.05
D. 7.5
Answer: C
Explanation:
Decimals such as 7.5, 7.50, and 7.500 all represent the same value because trailing zeros do not affect the number. However, 7.05 has a zero in the tenths place and five hundredths, making it a completely different value.
Q. Which comparison is correct?
A. 9.305 > 9.35
B. 9.350 = 9.35
C. 9.305 = 9.35
D. 9.35 < 9.305
Answer: B
Explanation:
Observation helps here. 9.350 simply adds a trailing zero to 9.35, so both values are equal. In contrast, 9.305 is smaller because its hundredths digit is 0, while 9.35 has 5 hundredths.
Q. Priya bought 1.25 kg of apples and 2.35 kg of oranges. What is the total weight of the fruits?
A. 3.50 kg
B. 3.60 kg
C. 3.70 kg
D. 3.55 kg
Answer: B
Explanation:
Real-life shopping often involves decimal addition. Adding 1.25 kg and 2.35 kg gives 3.60 kg. Since both measurements are in the same unit, you can directly add them after aligning the decimal points.
Q. Which place value does the digit 6 represent in 12.684?
A. Tenths
B. Hundredths
C. Thousandths
D. Ones
Answer: A
Explanation:
In any decimal number, the first digit after the decimal point represents the tenths place. In 12.684, the digit 6 is immediately after the decimal, so it represents six tenths. Identifying place values correctly is a key decimal skill.
Q. Which decimal is closest to 10?
A. 9.89
B. 10.12
C. 9.98
D. 9.75
Answer: C
Explanation:
The nearest decimal has the smallest difference from 10. 9.98 is only 0.02 away, while the other options are farther. Comparing the distance between numbers rather than just their size is a reliable strategy for such questions.
Q. Which statement about decimal addition is correct?
A. Decimal points should be ignored during addition.
B. Digits with the same place value should be aligned before adding.
C. Add whole numbers and decimal parts separately without aligning them.
D. Remove the decimal points before calculating the answer.
Answer: B
Explanation:
The most important rule in decimal addition is to align the decimal points so that tenths, hundredths, and thousandths stay in their correct columns. This preserves place value and ensures accurate calculations, whether you're solving mathematical problems or everyday measurement questions.
Quick Revision Before Solving A Peek Beyond the Point MCQs
Important Concepts
- Decimal place value
- Tenths, hundredths, and thousandths
- Reading and writing decimals
- Comparing decimal numbers
- Arranging decimals in ascending and descending order
- Addition and subtraction of decimals
- Decimals in money, length, mass, and measurement
- Converting fractions into decimals
- Converting decimals into fractions
- Real-life applications of decimals
Important Rules
- Compare whole number parts before decimal parts.
- Add or subtract decimals by aligning decimal points.
- Trailing zeros do not change a decimal's value.
- The place value decreases by ten times as we move right.
- Always write units while solving measurement questions.
Important Formula / Conversion Table
| Conversion | Formula |
|---|---|
| 1 Rupee | 100 Paise |
| 1 kg | 1000 g |
| 1 m | 100 cm |
| 1 cm | 10 mm |
| Decimal Fraction | Numerator ÷ Denominator |
| Tenths | ÷10 |
| Hundredths | ÷100 |
| Thousandths | ÷1000 |
Important Topics Covered in Class 7 Maths Chapter 3
| Topic | What You Learn |
|---|---|
| Decimal Numbers | Reading and writing decimals correctly |
| Place Value | Understanding tenths, hundredths, and thousandths |
| Comparing Decimals | Finding greater and smaller decimal numbers |
| Ordering Decimals | Arranging decimals in ascending and descending order |
| Decimal Operations | Addition and subtraction of decimal numbers |
| Decimal Conversions | Fraction to decimal and decimal to fraction |
| Measurements | Using decimals with length, weight, and money |
| Everyday Applications | Solving practical problems involving decimals |
How These MCQs Help Students Prepare Better
Practicing objective questions regularly does more than improve marks, it strengthens understanding and builds confidence.
- Improve Accuracy: Repeated MCQ practice helps students identify common calculation mistakes, improve precision, and answer questions more confidently during exams.
- Faster Revision: Instead of revising the entire chapter repeatedly, students can quickly revisit important concepts through exam-oriented questions.
- Better Concept Clarity: Each question encourages students to apply concepts rather than rely on memorization, making it easier to solve unfamiliar problems.
- Familiarity with Exam Pattern: Practicing a variety of question types helps students become comfortable with the objective format commonly seen in CBSE assessments.
- Effective Self-Assessment: Instant answers allow students to evaluate their preparation, recognize weak areas, and focus revision where it is needed most.
