CBSE Class 6 Maths Fractions HOTs

Please refer to CBSE Class 6 Maths Fractions HOTs. Download HOTS questions and answers for Class 6 Mathematics. Read CBSE Class 6 Mathematics HOTs for Chapter 7 Fractions below and download in pdf. High Order Thinking Skills questions come in exams for Mathematics in Class 6 and if prepared properly can help you to score more marks. You can refer to more chapter wise Class 6 Mathematics HOTS Questions with solutions and also get latest topic wise important study material as per NCERT book for Class 6 Mathematics and all other subjects for free on Studiestoday designed as per latest CBSE, NCERT and KVS syllabus and pattern for Class 6

Chapter 7 Fractions Class 6 Mathematics HOTS

Class 6 Mathematics students should refer to the following high order thinking skills questions with answers for Chapter 7 Fractions in Class 6. These HOTS questions with answers for Class 6 Mathematics will come in exams and help you to score good marks

HOTS Questions Chapter 7 Fractions Class 6 Mathematics with Answers

HOTS

1. Sunny was given 1/3 of a sum of money and Ankur was given 1/3 of what was left. What is Ankur’ss share as a fraction of Sunny’s share?
Answer: 2/3

2. Use the numbers 11, 9, 7 to form the smallest and the largest mixed numbers. Then find their sum giving your answer as a mixed number.
Answer: 19(59)/99

3. Add 
cbse-class-6-maths-fractions-hots
Answer: 5

4. cbse-class-6-maths-fractions-hots
then what is the value of x?

Answer: 1

5. How much more is 1/2 of 2/3 than 3/4 of 1/3 ?
Answer: 1/12

CHALLENGES

1. In the expression 1*/* 4 = 1/4 , * stands for the same digit. Find it.

2. In the expression 1*/*4 = 1/* , * stands for the same digit. Find it.

3. Consider the fractions: 
1/2019 , 2/2018, 3/2017 ,..., 2018/2 , 2019/1
a. How many proper fractions are there?
b. How many improper fractions are there?
c. How many of these fractions are integers?
d. How many fractions are simple?

4. Find the sum : 1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 .

5. Find the sum : 1+ 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 .

6. Find the sum : 8/1 - 7/2 + 6/3 - 5/4 + 4/5 - 3/6 + 2/7 - 1/8 .

7. Find four fractions such that with suitable addition and subtraction of some of these fractions, you can get all fractions k/40 for k = 1, 2, 3, . . . , 40.

9. Arrange the following fractions in ascending order:
3/5 , 4/7 , 2/3 , 5/8 , 3/4 , 9/7 , 1/9 .

10. Consider the following sequence of fractions:
2/1 , 5/2 , 10/3 , 17/4 , 26/5 ,.......
What are the next two fractions? (Hint: Write as mixed fractions.)

SUMMARY

1. A fraction is a number which represents a part of whole. The whole may be a single object or a group of objects.

2. The numbers such as 2/3 , 7/12 , 29/10 are called fractions. The number above the division line is called the numerator and the number below the division line is called the denominator of a fraction.

3. Types of fractions :
• Proper fraction — whose numerator is greater than zero but less than its denominator.
• Improper fraction — whose numerator is equal to or greater than its denominator.
• Mixed fraction (or mixed number) — it consists of two parts, a whole number and a proper fraction.
• Every mixed fraction can be written as an improper fraction and every improper fraction can be written as a mixed fraction.
• Like fractions — have same denominator.
• Unlike fractions — have different denominators.
• Equivalent fractions —have equal value.

4. The value of a fraction does not change if the numerator and the denominator are multiplied or divided by the same (non-zero) number.

5. To check the equivalence of fractions 
cbse-class-6-maths-fractions-hots
If ad = bc, then the given fractions are equivalent otherwise not equivalent.

6. A fraction is in irreducible (or simplest) form if its numerator and denominator have no factor (except 1).

7. To compare two (or more) fractions:
• In like fractions, the fraction with greater numerator is greater.
• In fractions with same numerator, the fraction with smaller denominator is greater.
• General method of.comparing fractions
a. Convert all fractions into equivalent like fractions.
b. Then the fraction having greater numerator is greater.

8. To add/subtract two (or more) fractions:
• In like fractions, we simply add or subtract the numerators and write the result above the denominator.
• In unlike fractions, proceed as under:
a. Convert the mixed fractions (if any) to improper fractions.
b. Convert all the fractions into equivalent like fractions.
c. Combine the numerators of all these like fractions with their proper sign '+ or -’ and place it over the common denominator to obtain a single fraction.
d. Reduce the single fraction obtained in step (c) to irreducible form and convert it to mixed fraction (if need be).

9. To multiply two fractions:
a. Convert the mixed fractions (if any) to improper.fractions.
b. Multiply the numerators together and the denominators together. Place the product of the numerators over the product of the denominators and reduce the result to irreducible form.

10. To divide one fraction by another fraction:
a. Convert the mixed fractions (if any) to improper fractions.
b. Multiply the dividend by the reciprocal of the divisor and reduce the result to irreducible form.

ERRORANALYSIS

1. While adding and subtracting fractions, students add the numerators and denominators.
eg. 3/9 + 2/9 = 3+2/9+9 = 5/18 which is wrong.
Correct method :
3+2/9 = 5/9

2. Write the fraction of shaded portion. 
eg. cbse-class-6-maths-fractions-hots
Wrong method: 1/5.
Correct method :
We cannot write fraction for this as it is not divided into equal parts.

ACTIVITY I

Fraction Wall
Objective : To create a fraction wall.

Material required : Coloured pencils
Procedure : A fraction wall has been created as an example. Two blank walls are provided for you to fill in the missing fractions. 
cbse-class-6-maths-fractions-hots

ACTIVITY II

Objective : To find the sum of two fractional numbers.
Material Required : Chart paper, scissors, pencil, ruler, colour pens.
Procedure: 
Let us add 2/3 + 1/4 What is the LCM of 3 and 4 ? 12

Step 1 : Cut three strips of size (12 cm x 2 cm), from the chart paper.
Step 2 : a. Divide the first strip into 3 equal parts, each part representing the fraction 1/3 . 
cbse-class-6-maths-fractions-hots

b. Divide the second strip into 4 equal parts, each part representing the fraction 1/4
cbse-class-6-maths-fractions-hots

c. Divide the third strip into 12 equal parts, each part representing the fraction 1/12 
cbse-class-6-maths-fractions-hots

Step 3 : a. From the first strip cut two equal parts representing the fraction 2/3 .
b. From the second strip cut one equal part representing the fraction 1/4 .
Place them side by side. Place the third strip exactly below these. 
cbse-class-6-maths-fractions-hots

Count at the number of 1/12 corresponding to the sum 2/3 + 1/4 . They are 11.
∴ 2/3 + 1/4 = 11/12

Chapter 01 Knowing Our Numbers
CBSE Class 6 Maths Knowing Our Numbers Hots
Chapter 02 Whole Numbers
CBSE Class 6 Maths Whole Numbers HOTs
Chapter 03 Playing With Numbers
CBSE Class 6 Maths Playing with Numbers HOTs
Chapter 05 Understanding Elementary Shapes
CBSE Class 6 Maths Understanding Elementary Shapes HOTs
Chapter 09 Data Handling
CBSE Class 6 Maths Data Handling HOTs
Chapter 12 Ratio And Proportion
CBSE Class 6 Maths Ratio and Proportion HOTs

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Where can I download latest CBSE HOTS for Class 6 Mathematics Chapter 7 Fractions

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What does HOTS stand for in Class 6 Mathematics Chapter 7 Fractions

HOTS stands for "Higher Order Thinking Skills" in Chapter 7 Fractions Class 6 Mathematics. It refers to questions that require critical thinking, analysis, and application of knowledge

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Are HOTS questions important for Chapter 7 Fractions Class 6 Mathematics exams

Yes, HOTS questions are important for Chapter 7 Fractions Class 6 Mathematics exams as it helps to assess your ability to think critically, apply concepts, and display understanding of the subject.