Fractions Case Study Questions for Class 6 Maths Ganita Prakash Chapter 7

1

Case Study: Pizza Fractions

Read the passage carefully, then answer all four questions

Ch 7 · Fractions

Four children order their own small pizza of the same size. Ria eats $\frac{3}{5}$ of pizza, Jia eats $\frac{9}{20}$ of pizza, Sia eats $\frac{7}{15}$ of pizza and Pia eats $\frac{3}{10}$ of pizza.

i

Who eats the most amount of pizza?

a Sia

b Pia

c Ria

d Jia

▾ Show Answer & Explanation

Correct Answer (c) Ria ✅

Explanation

The given fractions are $\frac{3}{5}$, $\frac{9}{20}$, $\frac{7}{15}$, $\frac{3}{10}$. The LCM of the denominators $5, 20, 15, \text{and } 10$ is $60$. Converting them to equivalent fractions with a common denominator:

$$\frac{36}{60}, \frac{27}{60}, \frac{28}{60}, \frac{18}{60}$$

The largest fraction is $\frac{36}{60}$, which is equivalent to $\frac{3}{5}$. Hence, Ria eats the most amount of pizza.

ii

Arrange the names of the children in order from lowest to greatest quantity of pizza eaten.

a Ria, Sia, Jia, Pia

b Pia, Jia, Sia, Ria

c Ria, Jia, Sia, Pia

d Jia, Sia, Pia, Ria

▾ Show Answer & Explanation

Correct Answer (b) Pia, Jia, Sia, Ria ✅

Explanation

Using the equivalent fractions with the LCM 60 calculated above, we arrange them in ascending order:

$$\frac{18}{60} < \frac{27}{60} < \frac{28}{60} < \frac{36}{60}$$

This corresponds to $\frac{3}{10} < \frac{9}{20} < \frac{7}{15} < \frac{3}{5}$. Therefore, the arrangement of children from lowest to greatest is Pia, Jia, Sia, Ria.

iii

Which fraction is not equivalent to $\frac{9}{20}$?

a $\frac{180}{400}$

b $\frac{270}{600}$

c $\frac{81}{400}$

d $\frac{360}{800}$

▾ Show Answer & Explanation

Correct Answer (c) $\frac{81}{400}$ ✅

Explanation

Let’s simplify the options to see which ones reduce to $\frac{9}{20}$:

$$\frac{180}{400} = \frac{180 \div 20}{400 \div 20} = \frac{9}{20}$$

$$\frac{270}{600} = \frac{270 \div 30}{600 \div 30} = \frac{9}{20}$$

$$\frac{360}{800} = \frac{360 \div 40}{800 \div 40} = \frac{9}{20}$$

The fraction $\frac{81}{400}$ can’t be reduced as 81 and 400 have no common factor. All are equivalent to $\frac{9}{20}$ except $\frac{81}{400}$.

iv

Find the total amount of pizza eaten by all four children.

▾ Show Answer & Explanation

Answer & Explanation

To find the total amount, add all the individual fractions:

$$\text{Total} = \frac{3}{5} + \frac{9}{20} + \frac{7}{15} + \frac{3}{10}$$

As calculated earlier, the LCM is 60. Converting them to equivalent fractions and adding the numerators:

$$\frac{36 + 27 + 28 + 18}{60} = \frac{109}{60}$$

The total amount of pizza eaten is $\frac{109}{60}$.

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Topics covered

• Fractions
• Fractions on the Number Line
• Proper, Improper and Mixed fractions
• Equivalent Fraction
• Simplest form of a fraction
• Like and Unlike Fractions
• Comparing Fractions
• Addition and Subtraction of Fractions

What is Case Study Question for Class 6 Maths?

Case study questions help students use maths concepts in real-life situations. These questions make students think deeply and understand the topic instead of just memorizing it. For CBSE Class 6 students, these questions connect what they learn in class to real-world problems, helping them develop better thinking and problem-solving skills.

Why Practice Case Study Questions for Class 6 Maths?

Practicing case study questions helps students:

• Understand real-life applications of mathematical concepts, such as using fractions in cooking or ratios in dividing items equally.
• Enhance problem-solving skills by analyzing scenarios and selecting the correct mathematical approach.
• Prepare for exams effectively, as these questions are now a part of CBSE’s question paper pattern.
• Build confidence in handling non-standard problems that may appear challenging at first glance.

How to Solve Case Study Questions in Maths Effectively?

Tips for students:

• Read the problem carefully: Understand the context and identify the key numbers and variables involved.
• Break the problem into steps: Tackle one part of the problem at a time to avoid confusion.
• Use the correct formula: Review the chapter’s concepts and identify the formula that fits the question.
• Double-check calculations: Avoid careless errors by re-checking your math.
• Visualize the scenario: Drawing a rough sketch or diagram can often make solving the problem easier.

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