CRITIRCAL AND CREATIVE THINKING ITEMS
CLASS X : CHAPTER 1 : REAL NUMBERS
INDEX
|
S.No. |
Theme of the item |
|
1. |
Fundamental
Theorem of Arithmetic |
|
2. |
What
am I? |
|
3. |
Step
Up Step Down |
|
4. |
LCM
& HCF |
|
5. |
Packaging
supports |
|
6. |
Food Suppliers |
|
7. |
Seating Plan |
|
8. |
Indian
Army |
|
9. |
Origin of real number |
|
10. |
Special
Olympiad World Game (SOWG) |
CCT PRACTICE ITEM - 01
|
Domain: Mathematical Literacy |
|
Theme: Fundamental Theorem of
Arithmetic |
Class: X Expected
Time: 15 minutes Total Credit: 10 points |
||
|
Description
of item” |
|
Learning Outcome: (As per
NCERT) ü Develop mastery of basic algebraic
skills. ü To develop ability to think and analyze
logically. ü Feel the flow of reason while solving a
problem. |
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yes
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Text |
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yes
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Image |
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|
Table |
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|
Graph |
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|
Map |
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Poem
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Sundaram joined a
company for a fixed salary per month. After few months, the management felt
happy with his work and multiplied his salary by some n times. This happened
every few months and his salary kept getting multiplied and he reached a salary
of 360 zeds. Every time the management increased the salary by a prime number
of times only and his initial salary was 5 zeds.
(Image source –
google)
Question: 1
1.1How
many times management did give incentive to Sundaram?
………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
|
FRAMEWORK
|
CHARACTERISTICS
|
|
Competency Cluster |
Data Analysis |
|
Overarching Idea |
Finding solution |
|
Context |
Multiplication of prime numbers |
|
Item Format |
Closed response |
|
Cognitive Process |
Analysis & Application |
|
Proficiency Level |
1 |
Credit Pattern:
Full Credit: 2.5 points
Partial Credit: 1 points
Nil Credit: 0 points
1.2What is the maximum increment he got in his salary?
………………………………………………………………………………………………………………………………….. ………………………………………………………………………………………………………………………………….. ………………………………………………………………………………………………………………………………….
|
FRAMEWORK
|
CHARACTERISTICS
|
|
Competency Cluster |
Data Analysis |
|
Overarching Idea |
Finding solution |
|
Context |
Multiplication of prime numbers |
|
Item Format |
Closed response |
|
Cognitive Process |
Analysis & Application |
|
Proficiency Level |
2 |
Credit Pattern:
Full Credit: 2.5 points
Partial Credit: 1 points
Nil Credit: 0 points
Description of Answer Key
and Credits:
Answers:
1.2Full credit: 3 Zeds
Nil credit: Any other
responses.
Explanation:
1.2 Highest prime factor included in 360 is 3,
so 3 zeds will be the highest increments which he got.
1.3What is the least incentive he got? What would be his
salary had he got the same type of increment every time?
…………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………..
………………………………………………………………………………………………………………………………
|
FRAMEWORK
|
CHARACTERISTICS
|
|
Competency Cluster |
Data Analysis |
|
Overarching Idea |
Finding solution |
|
Context |
Multiplication of prime numbers |
|
Item Format |
Closed response |
|
Cognitive Process |
Analysis & Application |
|
Proficiency Level |
2 |
Credit Pattern:
Full Credit: 2.5 points
Partial Credit: 1 points
Nil Credit: 0 points
Description of
answer keys and explanation:
Answers:
1.3Full credit: 2 zeds and 160 zeds Nil Credit: Any other responses.
Explanation:
1.3 Least prime factor involved in factorization
of 360 is 2, so the least incentive he got is
2 zeds. If he got the same kind of increment in his
salary which is 2 zeds then his salary
would be 160 zeds
1.4Had
his first salary had been 9 zeds what would be his present Salary?
………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
|
FRAMEWORK
|
CHARACTERISTICS
|
|
Competency Cluster |
Data Analysis |
|
Overarching Idea |
Finding solution |
|
Context |
Multiplication of prime numbers |
|
Item Format |
Closed response |
|
Cognitive Process |
Analysis & Application |
|
Proficiency Level |
3 |
Credit Pattern:
Full Credit: 2.5 points
Partial Credit: 1 points
Nil Credit: 0 points
