Last Updated on August 17, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 2 Fractions and Decimals. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Chapter | Fractions and Decimals |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 7 |

Subject | Maths |

Useful for | Class 7 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 7 Maths Chapterwise Case Study |

### Case Study Questions on Fractions and Decimals

**Questions**

**Passage 1: **

Insulin is a hormone made by the pancreas in the human body. It helps to regulate blood sugar level and absorbs glucose to get energy. The number of required units of insulin varies according to the individual. In some cases, an individual body is not able to produce sufficient amount of insulin. For those individuals, supplementary units of insulin are injected into the body.

** Difficulty Level: **Medium

Q. 1. A doctor uses this formula to calculate the daily insulin units required for Prakhar’s body. Daily insulin requirement (units) = 0.55 x Total body mass (kilograms).

Prakhar’s body mass is 80 kg.

What is Prakhar’s daily insulin requirement?

Ans. 44 units (0.55 x 80)

Q. 2. Insulin also helps in disposing of carbohydrates in the human body. In Prakhar’s body, 14.5 insulin units dispose of 290 grams of carbohydrate. How many grams of carbohydrates are disposed of by 1 insulin unit?

(a) 200

(b) 20

(c) 2

(d) 0.2

Ans. Option (b) is correct.

**Passage 2:**

Some balls have been assigned a tag with decimal numbers according to the weight of the ball. The balls are to be placed on the basis of the following:

– All balls with tag number less than $\frac{1}{8}$ should be placed in box 1.

– All balls with tag number between $\frac{3}{8}$ and $\frac{5}{8}$ should be placed in box 2.

– All balls with tag number more than $\frac{7}{8}$ should be placed in box 3.

Place the balls in the appropriate boxes.

(Hint: Convert $\frac{1}{8}, \frac{3}{8}, \frac{5}{8}$ and $\frac{7}{8}$ in to decimal numbers.

(i) The number of balls placed in box 1 is | |||||||

A | 5 | B | 3 | C | 4 | D | 6 |

(ii) If there is a ball with a tag 0.795, then it can be placed in which of these boxes? | |||||||

A | 1 | B | 2 | C | 3 | D | None of these |

(iii) What is the total weight of balls that are placed in box 3 ? | |||||||

A | 14.683 Kg | B | 1.993 Kg | C | 0.2494 Kg | D | 146.83 Kg |

(iv) What will be the quotient when you divide 1.993 by 5 ? | |||||||

A | 39.86 | B | 3.986 | C | 0.3986 | D | 398.6 |

(v) What is the weight of 10 such boxes of type 3? | |||||||

A | 14.683 Kg | B | 146.83 Kg | C | 1468.3 Kg | D | 14683 Kg |

**Answers 2:**

(i) C

(ii) D

(iii) A

(iv) C

(v) B

### Also check

- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- IntegersÂ Class 7 Case Study Questions Maths Chapter 1

### Topics from which case study questions may be asked

- Multiplication of Fractions
- Division of Fractions
- Multiplication of Decimals
- Division of Decimals

Numbers of the form p/q, where q â‰ 0 are called fractions, p is the numerator and q is the denominator. A fraction in which p < q is proper fraction and a fraction in which p > q is called an improper fraction.

Case study questions from the above given topic may be asked.

Fraction whose denominator is a multiple of 10 is called a decimal fraction.

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### Frequently Asked Questions (FAQs) on Fractions and Decimals Case Study

#### Q1: What is a fraction?

A1: A fraction represents a part of a whole. It consists of two numbers: the numerator (the top number), which indicates how many parts are being considered, and the denominator (the bottom number), which shows the total number of equal parts in the whole.

#### Q2: What is the difference between proper and improper fractions?

A2: A proper fraction has a numerator that is less than the denominator (e.g., 3/4), meaning it represents a part of a whole. An improper fraction has a numerator that is greater than or equal to the denominator (e.g., 7/4), meaning it represents a number greater than or equal to one whole.

#### Q3: How do you convert a mixed fraction to an improper fraction?

A3: To convert a mixed fraction to an improper fraction, multiply the whole number by the denominator and add the numerator. The result becomes the new numerator, and the denominator remains the same.

#### Q4: How do you add or subtract fractions with different denominators?

A4: To add or subtract fractions with different denominators, first find the least common denominator (LCD) of the fractions. Then, convert each fraction to an equivalent fraction with the LCD as the denominator. Finally, add or subtract the numerators while keeping the denominator the same.

#### Q5: What is a decimal?

A5: A decimal is a way of representing fractions or numbers that are not whole using the base-10 number system. It involves a decimal point, with digits to the right of the decimal representing parts of a whole (e.g., 0.75 represents 75/100 or 3/4).

#### Q6: **How do you convert a fraction to a decimal?**

A6: To convert a fraction to a decimal, divide the numerator by the denominator.

#### Q7: **How do you multiply fractions?**

A7: To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.

#### Q8: How do you divide fractions?

A8: To divide fractions, multiply the first fraction by the reciprocal (inverse) of the second fraction.

#### Q9: How do you add or subtract decimals?

A9: To add or subtract decimals, align the decimal points and then add or subtract the numbers as you would with whole numbers. Ensure the decimal point in the answer is aligned with the decimal points in the numbers being added or subtracted.

#### Q10: **Are there any online resources or tools available for practicing comparing quantities case study questions?**

A10: We provide case study questions for CBSE Class 8 Maths on ourÂ website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.